a standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each suit containing 1313 cards (ace, two through ten, jack, queen, and king) for a total of 5252 cards in all. 1) how many cards in the deck are either a jack or a heart?

Answers

Answer 1

The number of cards in the deck are either a jack or a heart are 17.

What is card deck?

A playing card is a specially made piece of card stock, heavy paper, thin cardboard, paper coated with plastic, cotton-paper blend, or thin plastic that is imprinted with distinctive motifs. To make handling easier, each card frequently has a finish on the front and back.

Given:

A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each suit containing 13 cards (ace, two through ten, jack, queen, and king) for a total of 52 cards in all.

We have to find the number of cards in the deck are either a jack or a heart.

Since, there are four Jack in a 52 card deck.

So, one jack can be chosen by 4C1 ways.

Also there are 13 cards of hearts in a 52 card deck.

So, one heart can be chosen by 13C1 ways.

The number of ways = 4C1 + 13C1 = 4 + 13 = 17.

Hence, the number of cards in the deck are either a jack or a heart are 17.

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Related Questions

From Arcadia, how much farther is it to Lakewood than to Bluepoint?

5.38 mi
12.6 mi
12.88 mi
Bluepoint
Arcadia
Lakewood
Dayton

Answers

The distance from Lakewood than to Bluepoint is 17.98 miles.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Distance between Bluepoint to Arcadia = 5.38 miles.

Distance between Arcadia to Lakewood= 12.6 miles.

Distance between Lakewood to Dayton = 12.88 miles.

So, the distance from Lakewood than to Bluepoint

= 12.6 +5 .38

= 17.98 miles

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In a tug-of-war, Team A is pulling to the left with 6 Newtons and Team B is pulling to the right with
4 Newtons. What is the net force?

Answers

Answer: 2n!

Step-by-step explanation:

6N -4 N =2N

two gamblers are playing a coin toss game. gambler a has (n 1) fair coins; b has n fair coins. what is the probability that a will have more heads than b if both flip all their coins

Answers

Gambler A loses his comparative advantage the more coins that are tossed for both Gamblers. But Gambler A will always maintain the advantage and has quite a heavy advantage when a few coins are tossed.

What is the binomial distribution?

The discrete probability distribution of the number of successes in a series of n independent experiments is called the binomial distribution with parameters n and p in probability theory and statistics.

Let X be the count of successes in the first n flips by A, Y the indicator that the last flip by A is also a success, and Z the count of successes in n flips by B.

Because Y is independent of X and Z, then:

P(X + Y > Z) = P(Y = 1) P(X ≥ Z) + P(Y = 0) P(X > Z)

= 1/2(P(X = Z) + 2P(X > Z))

P(X > Z) = P(Z > X)

Gambler A loses his comparative advantage the more coins that are tossed for both Gamblers. But Gambler A will always maintain the advantage and has quite a heavy advantage when a few coins are tossed.

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use the graphs of f and g to describe the transformation from the graph of f the the graph of f to the graph of g.

f(x) = -3x + 4 ; g(x) = f(x) + 1

Answers

The value of the function f(x) = -3x+4 is -3x+5

What is function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Given a function, f(x) = -3x+4

g(x) is described as f(x) +1

g(x) = -3x+4+1

g(x) = -3x+5

The graph of f(x) will move 1 unit farther when transformed into g(x).

Hence, The value of the function f(x) = -3x+4 is -3x+5

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Lola puts $150 into a bank account
The account pays 4% per annum simple interest
work out the total amount of mo

Answers

Answer:$156

Step-by-step explanation:

SI=principal x rate x time/100

=150 x 4 x 1/100

=$6

amount = principal+SI

=150+6

=$156

if a baseballs cost $4.50 how much will 5 cost

Answers

Answer:

22.5

Step-by-step explanation

22.5 is the correct answer because 4.50 times 5 is 22.5 :))))

Answer:

22.5

if one baseball cost $ 4.50 , we multiply it by 5 , or add 4.50+4.50+4

.50+4.50+4.50 same thing.

Compute the requested average. Tim worker receives the following income monthly from a second job. Jan. Feb. Mar. Apr. May june $200 $150 $250 $260 $285 $380 what is his average pay? (to the nearest hundredth. ).

Answers

all the numbers added and then multiplied by 6 is 254.2

Solve for m 3/5m > -12 help I’ll give 30 points

Answers

Answer:

m > -20

Step-by-step explanation:

Multiply the 5 on both sides. Now you have 3m > -60. Divide both sides by 3. Now you have m > -20.

Voila

15 red cars to 19 blue cars Use to.______ Use a colon._______ Use fraction form._______/ write each ratio please help !!​

Answers

Answer:

15:19 15/19

Step-by-step explanation:

Find the 8th term of the arithmetic sequence 3x-13x−1, -2x+6−2x+6, -7x+13, ...−7x+13,...

Answers

Answer:

11x +98 just assume it to be an arithmetic progression

suppose a student completes an experiment with an average value of 2.5 ml and a calculated standard deviation of 0.66 ml. what is the minimum value within a 1 sd range of the average?

Answers

The minimum value within a 1 sd range of the average as calculated from the given data is  1.84 ml.

standard deviation range = [average - SD, average + SD]

Here ,

the maximum value =

average - SD = 2.5 - 0.66 = 1.84  ml

and the maximum value =

average + SD = 2.5+ 0.66 = 3.16 ml

Both the standard deviation and range are indicators of how widely distributed a set of data is. Given that they are both measures of variance, each number conveys to us in its own particular way how dispersed the data are.

Although the range and standard deviation do not directly correlate, there is a general method that can be used to connect these two statistics. The range rule for standard deviation is another name for this connection.

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what is the sum of all integers $n$ that satisfy $$-3n < 7n-20 < 3n~?$$ in other words, what is the sum of all integers $n$ that satisfy both of the inequalities $$-3n<7n-20\text{~~and~~}7n-20<3n~?$$

Answers

3+4=7 is the total of all possible integer values of n.

What are integers?

Integers include zero, a positive natural number, and a negative integer represented by a minus sign.

The negative numbers are the inverse additions of the comparable positive numbers.

In mathematical notation, the letter Z is widely used to denote a set of numbers.

An integer is a whole number that can be positive, negative, or zero and is not a fraction.

Integer examples include -5, 1, 5, 8, 97, and 3,043.

So, the two inequalities are resolved independently. We add 3n to both sides of the first inequality, -3n7n-20, to find the solution:

Then, we add 20 to both sides to get 010n-20:

20<10n.

Lastly, multiplying both sides by 10 yields 2n, indicating that n must be bigger than 2.

We deduct 3n from both sides of the second inequality, 7n-203n:

Add 20 on both sides of 4n-200 to obtain:

4n<20.

Lastly, n must be less than 5 since the result of dividing both sides by 4 is n5.

Only the numbers 3 and 4 are greater than 2 and less than 5.

Therefore, 3+4=7 is the total of all possible integer values of n.

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a local zoo found that if the price of admission was $15$⁢15, the attendance was about 15501550 customers per day. when the price of admission was dropped to $9$⁢9, attendance increased to about 29002900 per day. write a linear equation for the attendance in terms of the price, p. ( a

Answers

Linear equation of attendance in terms of the price is A = -225p + 4925

What is linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

Attendance as a function of ticket price.

A(p) = mp + b

We have two points (p, A):  (15, 1550), (9, 2900)

Slope:  m = (2900-1550)/(9-15) = 1350/-6 = -225

A = -225p + b

Using (15, 1550) as (p, A) find b

1550 = -225(15) + b

1550 = -3375 + b

4925 = b

A = -225p + 4925

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what is the seventh partial sum for the sequence - 13,22,31,40....
?

Answers

The nth partial sum of an infinite sequence is the sum of first n terms starting from the first one. The partial sum of the sequence is given as 280.

What is an arithmetic sequence?

An arithmetic sequence is a kind of sequence of numbers where the difference of any two consecutive terms are the same.

This difference is known as the common difference of the sequence.

Given that,

The sequence is  13,22,31,40....

The first term of the sequence is a₁ = -13.

The  difference between consecutive terms is,

22 - 13 = 9

31 - 22 = 9

And, 40 - 31 = 9

Since, the difference between two consecutive terms are same, the given sequence is arithmetic.

The sum of first n terms of an arithmetic sequence is given as,

Sₙ = n/2(2a₁ + (n - 1)d)

Substitute n = 7 to obtain,

S₇ = 7/2(2 × 13 + (7 - 1) × 9)

    = 7/2 × 80

    = 280

Hence, the seventh partial sum of the given sequence is 280.

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please help me please ​

Answers

Answer:

For the first one
Part a:
115x + 685y >= 2300

Part b:
See explanation below

Second one:

1.5x + 1.0y >= 2000

Rest of explanation below

Step-by-step explanation:

First one.
Let x be the number of skimboards sold and y be the number of longboards sold.

Then revenue from sales of x units at $115 and y units at $685 would be

115x + 685y

This must be at lest the overhead to make zero loss

So the inequality is
115x + 685y ≥ 2300   (Answer a)

Part b

Any combination of x and y which satisfies this inequality will provide a profit. I have provided a graph of this inequality using an online graphing calculator. I am not sure what your teacher wants you to use.

Any point in the shaded region represents a combination of x and y which satisfies that inequality. However since you cannot sell a fraction of a surfboard, only points which represent whole numbers can be valid. Also only values of x and y >=0 can be chosen.  So any point in the shaded region which has x and y non-negative and x and y whole numbers will generate a profit

Again I am not sure whether this question is asking for a specific value or possible values.

A specific value can be (x=5, y = 10) which is well within the shaded region. This represents 5 skimboards and 10 longboards with a revenue of 5 x 115 + 10 x 685 = $ 7425

Or you could sell 0 skimboards and 4 longboards giving you a revenue of
4 x 685 = $2,740

Or 20 skimboards and zero long boards which is a revenue of $2300 which breaks even with the overhead

Second Question: Modeling

Using x for number of hot dogs sold and y for number of sodas, the inequality is

(a) 1.0x + 1.25y >= 2000

(b) Graph attached

(c)  5 solution points plotted

Here are 5 values that fill fit the inequality

1000 hot dogs, 1000 sodas  (Point A)400 hot dogs, 1400 sodas   (Point B)600 hot dogs, 1200 sodas   (Point C)0 hot dogs, 1800 sodas        (Point D)1600 hot dogs, 800 sodas   (Point E)

Hope that helps. Sorry, best I could do


Of the 47 plays attributed to a​ playwright, 11 are​ comedies, 20 are​ tragedies, and 16 are histories. If one play is selected at​ random, find the odds against selecting a history

Answers

The odds against selecting a history are 31/16.

Define probability.

Probability is the concept that describes the likelihood of an event occurring. In many situations, it is necessary to foresee how something will turn out in the actual world. We may be aware of the result of an event or not. When this occurs, we state that there is a possibility that the event will occur.

Probability is the ratio of the most likely outcomes to all other possible outcomes of an event. The number of successful outcomes for an experiment with 'n' outcomes may be expressed using the symbol x. The following formula can be used to determine the likelihood of an event.

Probability(Event) = favorable outcome/Total outcome = x/n

Number of playwrights = 47

Number of histories = 16

Therefore, the odds against selecting a history are

(47 - 16) / 16

= 31/16

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-4(v + 1) + 6v = 2(v + 2) - 8

Answers

Answer:

0 , All real numbers are solutions.

Step-by-step explanation:

Let's solve your equation step-by-step.

−4(v+1)+6v=2(v+2)−8

Step 1: Simplify both sides of the equation.

−4(v+1)+6v=2(v+2)−8

(−4)(v)+(−4)(1)+6v=(2)(v)+(2)(2)+−8(Distribute)

−4v+−4+6v=2v+4+−8

(−4v+6v)+(−4)=(2v)+(4+−8)(Combine Like Terms)

2v+−4=2v+−4

2v−4=2v−4

Step 2: Subtract 2v from both sides.

2v−4−2v=2v−4−2v

−4=−4

Step 3: Add 4 to both sides.

−4+4=−4+4

0=0

Answer:

no solution

Step-by-step explanation:

-4(v + 1) + 6v = 2(v + 2) - 8

-4v - 4 + 6v = 2v + 4 - 8

2v - 4 = 2v - 4

0 = 0

no solution

A triangle has an area of 32 mm² in the base of 8 mm what is the height ?

Answers

The height of the triangle is 32 mm

How to find the height of a triangle?

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The area of a triangle can be represented as follows:

area of a triangle = 1 / 2 bh

where

b = baseh = height

Therefore, the triangle has an area of 32 mm² and base of 8 mm. Let's find the height of the triangle as follows:

area of a triangle = 1 / 2 bh

32 = 1 / 2 × 8 × h

4h = 32

divide both sides by 4

h = 32 / 4

h = 8 mm

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NO LINKS! PLEASE HELP ME!​

Answers

Answer:

4860 bacteria

Step-by-step explanation:

The given scenario can be modelled using an exponential function with base e.

[tex]\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function with base $e$}\\\\$y=Ae^{kx}$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $e$ is Euler's number. \\ \phantom{ww}$\bullet$ $k$ is some constant.\\\end{minipage}}[/tex]

Define the variables:

Let y be number of bacteria.Let x be the time (in hours)

Given the initial number of bacteria is 20, then A = 20.

[tex]\implies y=20e^{kx}[/tex]

If the bacteria triples its number in 16 hours, then when x = 16:

[tex]\implies y=3 \times 20= 60[/tex]

Substitute x = 16 and y = 60 into the equation and solve for k:

[tex]\begin{aligned}y&=20e^{kx}\\\implies 60&=20e^{16k}\\\dfrac{60}{20}&=e^{16k}\\3&=e^{16k}\\\ln 3&=\ln e^{16k}\\ \ln3&=16k \ln e\\\ln3&=16k\\k&=\dfrac{1}{16} \ln 3\end{aligned}[/tex]

Therefore, the equation that models the given scenario is:

[tex]\large\boxed{y=20e^{\left(\frac{1}{16}x \ln 3\right)}}[/tex]

To find how many bacteria there are after 80 hours, substitute x = 80 into the equation and solve for y:

[tex]\implies y=20e^{\left(\frac{1}{16}(80) \ln 3\right)}[/tex]

[tex]\implies y=20e^{\left(5 \ln 3\right)}[/tex]

[tex]\implies y=20e^{\left(\ln 3^5\right)}[/tex]

[tex]\implies y=20e^{\left(\ln 243\right)}[/tex]

[tex]\implies y=20 \cdot 243[/tex]

[tex]\implies y=4860[/tex]

Therefore, there are 4860 bacteria after 80 hours.

-----------------------------------------------------------------------------------------------

Please note that I have solved this question so that you can calculate the number of bacteria for any number of hours, part hours, etc.

However, there is a much simpler way of solving this particular question.

If the number of bacteria triples every 16 hours, then it will triple 5 times within 80 hours since 80 ÷ 16 = 5.

Therefore:

Hour 0:  20Hour 16:  20 × 3 = 60Hour 32:  60 × 3 = 180Hour 48:  180 × 3 = 540Hour 64:  540 × 3 = 1620Hour 80:  1620 × 3 = 4860

As you can see, the result is the same as the previous method.

Rewrite the following equation in slope-intercept form.

–10x − 11 = –12y

Answers

Answer:

y = 5/6x+11/12

Step-by-step explanation:

divide by -1 on both sides to get 10x+11=12y

divide by 12 on both sides

A recipe calls for 2 1/4 cups of sugar for 1 1/2 dozen cookies. What amount of sugar is needed for one dozen cookies?​

Answers

The required number of cups of sugar for 1 dozen of cookies is 3 cups.

Given that,
A recipe calls for 2 1/4 cups of sugar for 1 1/2 dozen cookies. What amount of sugar is needed for one dozen cookies? is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
For
2 1/4 cups   = 9 / 2 cups
number of cookies = 3/2 dozen
For.
1 dozen cookies = 9 / 2 / [ 3 / 2] = 3 cups of sugar

Thus, the required number of cups of sugar for 1 dozen of cookies is 3 cups.

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an article reported that, in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and 201 of these passed the probe. assuming a stable process, calculate a 95% (two-sided) confidence interval for the proportion of all dies that pass the probe. (round your answers to three decimal places.) ,

Answers

the 95% confidence interval for the proportion of all dies that pass the probe is [0.513,0.616].

What is sample proportion?

Sampling is frequently used to estimate the percentage of population that possesses a particular attribute, such as the percentage of all faulty goods which come off an assembly line or the percentage among all buyers that enter a store and make a purchase before leaving. The population proportion is indicated p, while the sample proportion is written p. Thus, if 43% of individuals visiting a business make a purchase before departing, p = 0.43; if 78 people enter the store and make a transaction, p=78/200=0.39.

The sample proportion is a random variable because it differs from sample to sample in ways that are impossible to anticipate in advance. When seen as a random variable, it will be represented by the letter P.

How to solve?

An article reported that in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and 169 of these passed the probe.

So,p'=201/356=0.56460

The 95% confidence interval for the proportion of all dies that passed the probe will be,

p∈[p'±zα/2√p'(1−p')/n]

p∈[0.56460±1.96×√0.56460(1−0.56460)356]

p∈[0.513,0.616]

So the 95% confidence interval is [0.513,0.616].

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ANSWER ASAP!!!!!!!!!!!!!!!

Choose the scatter plot that suggests a linear relationship between x and y.

Answers

Answer:

The 4th scatter plot indicates a linear relationship

Step-by-step explanation:

The first and third scatter plot graphs are too noisy to indicate a proper trend. The second scatter plot is quadratic and the fourth one is linear.

Newton is thinking of a number that is greater than 0.4 and less than 0.5. The greatest digit in the number is in the hundredths place. What might Newton’s number be?

Answers

Answer:

0.49

Step-by-step explanation:

Answer:

0.49

Step-by-step explanation:

0.4 < x < 0.5

in​ randomized, double-blind clinical trials of a new​ vaccine, were randomly divided into two groups. subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. after the second​ dose, of subjects in the experimental group​ (group 1) experienced as a side effect. after the second​ dose, of of the subjects in the control group​ (group 2) experienced as a side effect. does the evidence suggest that a higher proportion of subjects in group 1 experienced as a side effect than subjects in group 2 at the level of​ significance? question content area bottom part 1 verify the model requirements. select all that apply. a. the data come from a population that is normally distributed. b. the samples are independent. your answer is correct.c. the sample size is more than​ 5% of the population size for each sample. d. the samples are dependent. e. and your answer is correct.f. the sample size is less than​ 5% of the population size for each sample. your answer is correct. part 2 determine the null and alternative hypotheses. ​: equals ​: greater than part 3 find the test statistic for this hypothesis test.\

Answers

Ni yo entiendo jsjs

in a survey of 500 residents, 300 were opposed to the use of photo-cops for issuing traffic tickets. find the margin of error that corresponds to a 95% confidence interval for the proportion of residents that are opposed to the use of photo-cops for issuing traffic tickets.

Answers

The margin of error that corresponds to a 95 % confidence interval for the proportion of residents that are opposed to the use of photo - cops for issuing traffic tickets is 0.04.

Given:

in a survey of 500 residents, 300 were opposed to the use of photo-cops for issuing traffic tickets.

Sample size n = 500

Number of success X = 300

Sample proportion p = X/n

= 300/500

= 30/50

= 3/5

= 0.6

z score at 95% = 1.96

Margin of error = z * [tex]\sqrt{p(1-p)/n}[/tex]

= 1.96 * [tex]\sqrt{0.6(1-0.6)/500}[/tex]

= 0.04

Therefore the margin of error that corresponds to a 95 % confidence interval is 0.04.

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Fred deposits $6,500 in a saving account that pays 0.5% interest, compounded quarterly. Round each answer to the nearest cent.
a. Find the first quarter's interest.
b. Find the first quarter's ending balance.
c. Find the second quarter's interest.
d. Find the second quarter's ending balance.
e. Find the third quarter's interest.
f. Find the third quarter's ending balance.
g. Find the fourth quarter's interest.
h. What is the balance at the end of one year?
i. How much interest does the account earn in the first year?

Answers

The amount of interest earned quarterly at 0.5% interest rate compounded quarterly are;

a. Interest for the first quarter = $8.125

b. First quarter ending balance = $6,508.125

c. Interest for the second quarter = $8.13515625

d. Second quarter ending balance = $6,516.26015625

e. Interest for the third quarter = $8.1432520325

f. Third quarter closing balance = $6,524.40548145

g. Interest for the fourth quarter = $8.15550685975

h. The amount of interest earned in a year is about $32.56

What is an interest earned on an amount?

An interest is the amount a borrower pays to a lenders as to make use of the lender's funds.

The amount Fred deposited, P = $6,500

The interest paid by the account, r = 0.5% compounded quarterly

a. The first quarter interest can be found by the formula;

[tex]C.I. = P\cdot \left(1 + \dfrac{r}{4} \right)^{4\times \dfrac{1}{4} }- P[/tex]

Therefore;

[tex]C.I. = 6500\times \left(1 + \dfrac{\frac{0.5}{100} }{4} \right)^{4\times \dfrac{1}{4} }- 6500 = 8.125[/tex]

The interest after the first period is $8.125

b. The first quarter ending balance is therefore;

A = P + C.I.

A = $6,500 + $8.125 = $6,508.125

c. The second quarter's interest can be found from the formula;

[tex]C.I. = P\cdot \left(1 + \dfrac{r}{4} \right)^{4\times t} - P[/tex]

Here, P = The balance from the first quarter = $6,508.125

t = 1/4 for one quarter

Therefore;

[tex]C.I. = 6508.125\times \left(1 + \dfrac{\frac{0.5}{100} }{4} \right)^{4\times \dfrac{1}{4} }- 6508.125 = 8.13515625[/tex]

The second quarter's interest is $8.13515625

d. The second quarter ending balance is therefore;

A = $6,508.125 + $8.13515625 = $6,516.26015625

The second quarter ending balance is $6,516.26015625

e. The third quarters interest is therefore;

[tex]C.I. = 6516.26015625\times \left(1 + \dfrac{\frac{0.5}{100} }{4} \right)^{4\times \dfrac{1}{4} }- 6516.26015625 = 8.1432520325[/tex]

The third quarter's interest is about $8.1433

f. The third quarter's ending balance is therefore;

A ≈ $6516.26015625 + $8.1432520325 = $6,524.40548145

The third quarter's ending balance is $6,524.40548145

g. The fourth quarter's interest can be found as follows;

[tex]C.I. = 6,524.40548145 \times \left(1 + \dfrac{\frac{0.5}{100} }{4} \right)^{4\times \dfrac{1}{4} }- 6524.40548145 = 8.15550685975[/tex]

The fourth quarter's interest is; $8.15550685975

h. The balance at the end of one year is therefore;

Balance = C.I. fourth quarter + Principal for the fourth quarter

Therefore;

Balance = $6,524.40548145 + $8.15550685975 = $6,532.56098831

i. The interest the account earns in a year is therefore;

$6,532.56098831 - $6,500 = $32.5609883

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Use the function below to find F(3).

Answers

Answer:

c) 4/3

Step-by-step explanation:

Caleb is buying a new bed costing £400. He pays of the total cost when he orders the bed and the rest on delivery. How much does he pay when he orders the bed?​

Answers

Caleb pays £80 when he orders the bed

How to determine how much he pays when he orders the bed?

From the question, we have the following parameters that can be used in our computation:

Total cost of the bed = £400

Proportion paid when ordering the bed = 1/5

Using the above as a guide, we have the following:

Amount paid when ordering the bed = Proportion paid when ordering the bed * Total cost of the bed

Substitute the known values in the above equation, so, we have the following representation

Amount paid when ordering the bed = 1/5 * £400

Evaluate the products

So, we have the following representation

Amount paid when ordering the bed = £80

Hence, the amount is £80

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Complete question

Caleb is buying a new bed costing £400 He pays 1/5 of the total cost when he orders the bed and the rest on delivery. How much does he pay when he orders the bed?

A sample of size
=n83
is drawn from a population whose standard deviation is
=σ42
Part 1 of 2
(a) Find the margin of error for a
95%
confidence interval for
μ. Round the answer to at least three decimal places.
The margin of error for a
95%
confidence interval for
μ
is
. Part 2 of 2
(b) If the confidence level were
99%
, would the margin of error be larger or smaller?

Answers

The margin of error would be higher at a 99% confidence level.

Confidence level is the probability, or degree of certainty, that the confidence interval would include the real population parameter when a random sample is drawn numerous times.

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