a playground is in the shape of a square with each side

Answer:

we need at least 17 - card deck

Step-by-step explanation:

From the information given :

We can attempt to solve the question by using pigeonhole principle;

"The pigeonhole principle posits that if more than n pigeons are placed into n pigeonholes some pigeonhole must contain more than one pigeon"

Thus; the minimum number of pigeon; let say at least n pigeons sit on at least one same hole among m hole can be represented by the formula:

m(  n - 1 ) + 1

where ;

pigeons are synonymous to card

pigeonholes  are synonymous to suits

So; m = 4 ; n = 5

∴  4 (5 -1 ) + 1 ⇒ 4 (4) + 1

= 16 + 1

= 17

Hence; we need at least 17 - card deck

Answer:

The probability that all three have type B​+ blood is 0.001728

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have type B+ blood, or they do not. The probability of a person having type B+ blood is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability that a person in the United States has type B​+ blood is 12​%.

This means that [tex]p = 0.12[/tex]

Three unrelated people in the United States are selected at random.

This means that [tex]n = 3[/tex]

Find the probability that all three have type B​+ blood.

This is P(X = 3).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.12)^{3}.(0.88)^{0} = 0.001728[/tex]

The probability that all three have type B​+ blood is 0.001728

Given Information:

Population proportion = p =  0.55

Sample size 1 = n₁ = 30

Sample size 2 = n₂ = 100

Sample size 3 = n₃ = 1000

Required Information:

Standard error = σ = ?

Answer:

[tex]$ \sigma_1 = 0.091 $[/tex]

[tex]$ \sigma_2 = 0.050 $[/tex]

[tex]$ \sigma_3 = 0.016 $[/tex]

Step-by-step explanation:

The standard error for sample proportions from a population is given by

[tex]$ \sigma = \sqrt{\frac{p(1-p)}{n} } $[/tex]  

Where p is the population proportion and n is the sample size.

For sample size n₁ = 30

[tex]$ \sigma_1 = \sqrt{\frac{p(1-p)}{n_1} } $[/tex]

[tex]$ \sigma_1 = \sqrt{\frac{0.55(1-0.55)}{30} } $[/tex]

[tex]$ \sigma_1 = 0.091 $[/tex]

For sample size n₂ = 100

[tex]$ \sigma_2 = \sqrt{\frac{p(1-p)}{n_2} } $[/tex]

[tex]$ \sigma_2 = \sqrt{\frac{0.55(1-0.55)}{100} } $[/tex]

[tex]$ \sigma_2 = 0.050 $[/tex]

For sample size n₃ = 1000

[tex]$ \sigma_3 = \sqrt{\frac{p(1-p)}{n_3} } $[/tex]

[tex]$ \sigma_3 = \sqrt{\frac{0.55(1-0.55)}{1000} } $[/tex]

[tex]$ \sigma_3 = 0.016 $[/tex]

As you can notice, the standard error decreases as the sample size increases.

Therefore, the greater the sample size lesser will be the standard error.

Answer:

g(-5) = 2

g(0) = -2

g(1) = 2

Step-by-step explanation:

g(-5) satisfies x <-2, since -5 is less than -2.

g(0) satisfies -2≤x≤1 since 0 is greater than 2 but less than 1. When we plug in 0 into (x+1)^2 -2, we get -2.

g(1) satisfies -2≤x≤1 since it says that x is less than OR EQUAL TO 1. We then plug in 1 into (x+1)^2 -2 and get 2.

Answer:

Step-by-step explanation:

Using the compound interest formula

[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]

A = final amount after t years

P = amount borrowed = Principal = 6709R

r = rate (in %) = 12 1/3%

n = number of times the interest is applied = 2 months

t = time the period elapsed = 2 1/2 years

[tex]A = 6709(1+\frac{\frac{37}{300} }{\frac{2}{12} } )^{\frac{2}{12} *\frac{5}{2} } \\A = 6709(1+0.1233/0.1667)^{2\0.41667} \\A = 6709(1+0.7397)^{2\0.41667} \\A = 6709(1.7397)^{2\0.41667} \\A = 6709(3.81195)\\A = 25,574.373[/tex]

She will have to pay 25,574.373R after 2 and a half years

interest paid by her = Amount - Principal

Interest paid by her = 25,574.373 - 6709

Interest paid by her = 18,865.373R

Answer:

68 miles per hour.

Step-by-step explanation:

The time taken for the driver to drive 119 miles is 105 minutes.

The average speed is equal to distance divided by the time taken.

105 minutes is equal to 1.75 hours.

[tex]S=119/1.75[/tex]

[tex]S =68[/tex]

The driver's average speed is 68 miles per hour.

Answer:

Speed = 68 mph

Step-by-step explanation:

Given:

Distance = 119 miles

Time = 1 hour 45 minutes = 1.75 hours

Required:

Speed = ?

Formula:

Average Speed = Total Distance Covered / Total Time Taken

Solution:

Speed = 119/1.75

Speed = 68 mph

Answer:  b) they ARE similar because BRAD:KELY is 1:2

Step-by-step explanation:

In order for the shapes to be similar they must have congruent angles and proportional sides.

With the options a through d given, we can assume that their sides are proportional.  Since BRAD is smaller than KELY, BRAD would have the smaller number in the ratio.

Answer:

They are similar because Brad and Kelly are 1:2

Step-by-step explanation:

Answer:

8p + 2s <= 150

Step-by-step explanation:

Let p = number of a pizza.

Let s = price of a bottle of soda.

The inequality is

8p + 2s <= 150

Answer:

is m= 10.5 espero que te ayude

Answer:

As the P-value (0.0107) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that listening to music while solving math problems will make a particular brain area more active.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that listening to music while solving math problems will make a particular brain area more active.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=35\\\\H_a:\mu> 35[/tex]

The significance level is 0.01.

The sample has a size n=1.

The sample mean is M=58.

The standard deviation of the population is known and has a value of σ=10.

We can calculate the standard error as:

[tex]\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{10}{\sqrt{1}}=10[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{M-\mu}{\sigma_M}=\dfrac{58-35}{10}=\dfrac{23}{10}=2.3[/tex]

This test is a right-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z>2.3)=0.0107[/tex]

As the P-value (0.0107) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that listening to music while solving math problems will make a particular brain area more active.

Answer:

The answer is the first option. ΔRED ~ ΔTAN

Step-by-step explanation:

This is because the letters should be in the same order. Notice how T and R are in the same spots so are E and A, as well as D and N.

Answer:

C. 44

Step-by-step explanation:

[tex] \frac{1}{2} m - \frac{3}{4} n = 16 \\ \\ \frac{1}{2} m - \frac{3}{4} \times 8 = 16..( plug \: n = 8) \\ \\ \frac{1}{2} m - 3 \times 2 = 16 \\ \\ \frac{1}{2} m - 6 = 16 \\ \\ \frac{1}{2} m = 16 + 6 \\ \\ \frac{1}{2} m = 22 \\ \\ m = 22 \times 2 \\ \\ m = 44[/tex]

The value of m in the given equation is equal to 3.

Given the following data:

To find the value of m in the given equation:

In this exercise, you're required to determine the value of m in the given equation. Thus, we would translate the word problem into an algebraic equation.

[tex]\frac{1}{2m} -\frac{3}{4n} =16[/tex]

Substituting the value of n in the equation, we have;

[tex]\frac{1}{2m} -\frac{3}{4(8)} =16\\\\\frac{1}{2m} -\frac{3}{32} =16\\\\16m-32=16\\\\16m=16+32\\\\16m=48\\\\m=\frac{48}{16}[/tex]

m = 3.

Read more on word problems here: brainly.com/question/13170908

Answer:

a) From the empirical rule we know that within 3 deviations from the mean we have 99.7% of the data

b) [tex] P(191.5<X<319.5)[/tex]

We can find the number of deviations from the mean for the limits using the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

And replacing we got:

[tex] z=\frac{191.5-255.4}{63.9}= -1[/tex]

[tex] z=\frac{319.3-255.4}{63.9}= 1[/tex]

So we have values within 1 deviation from the mean and using the empirical rule we know that we have 68% of the values for this case

Step-by-step explanation:

For this case we have the following properties for the random variable of interest "blood platelet counts"

[tex]\mu = 255.4[/tex] represent the mean

[tex]\sigma = 63.9[/tex] represent the population deviation

Part a

From the empirical rule we know that within 3 deviations from the mean we have 99.7% of the data

Part b

We want this probability:

[tex] P(191.5<X<319.5)[/tex]

We can find the number of deviations from the mean for the limits using the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

And replacing we got:

[tex] z=\frac{191.5-255.4}{63.9}= -1[/tex]

[tex] z=\frac{319.3-255.4}{63.9}= 1[/tex]

So we have values within 1 deviation from the mean and using the empirical rule we know that we have 68% of the values for this case

Answer:

a. 3.686 %

b. 0.41 %

c. 4.096%

Step-by-step explanation:

We make use of the binomial probability equation, which is as follows:

P = [n! / (n - r)! r!] p ^ r * q ^ (n - r)

where,

n total number samples = 6

r is the selected number, depends on each point (a, b, c)

p is the of believing in reincarnation = 0.40

q = 1 - p = 0.60

to. What is the probability that exactly 5 of the selected adults believe in reincarnation?

So we use r = 5

P = [6! / ((6 - 5)! * 5!)] * [0.40 ^ 5 * 0.60 ^ (6 - 5)]

P = 6 * 0.006144

P = 0.0368 = 3.686%

b. What is the probability that all of the selected adults believe in reincarnation?

So we use r = 6

P = [6! / ((6 - 6)! * 6!)] * [0.40 ^ 6 * 0.60 ^ (6 - 6)]

P = 1 * 0.004096

P = 0.004096 = 0.41%

c. What is the probability that at least 5 of the selected adults believe in reincarnation?

So we use r = 5 to 6

P (r = 5) = [6! / ((6 - 5)! * 5!)] * [0.40 ^ 5 * 0.60 ^ (6 - 5)]

P (r = 5) = 6 * 0.006144

P (r = 5) = 0.0368 = 3.686%

P (r = 6) = [6! / ((6 - 6)! * 6!)] * [0.40 ^ 6 * 0.60 ^ (6 - 6)]

P (r = 6) = 1 * 0.004096

P (r = 6) = 0.004096 = 0.41%

The total is the sum of all:

P (total) = 3.686% + 0.41%

P (total) = 4.096%

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Translate this sentence into an equation. The product of Holly's height and 3 is 39. Use the variable h to represent Holly's height.

Let holly's savings be h. If the  product of Holly's savings and 3 is 39, this can be represented mathematically as h*3 = 39

To get holly's savings "h', we will divide both sides of the equation by 3

h*3 = 39

h*3/ 3= 39/3

h = 13*3/ 3

h = 13 * 3/3

h = 13*1

h = 13

Holly's savings is 13 and the required equation is 3h =39

Answer:

Please the read the answer below

Step-by-step explanation:

In order to find the 95% confidence interval for the difference of the two populations, you use the following formula (which is available when the population size is greater than 30):

CI = [tex](p_1-p_2)\pm Z_{\alpha/2}(\sqrt{\frac{p_1(1-p_1)}{n_1}+\frac{p_2(1-p_2)}{n_2}})[/tex]     (1)

where:

p1: proportion of one population = 52/9853 = 0.0052

p2: proportion of the other population = 41/11541 = 0.0035

α: tail area = 1 - 0.95 = 0.05

Z_α/2: Z factor of normal distribution = Z_0.025 = 1.96

n1: sample of the first population = 52

n2: sample of the second population = 41

You replace the values of all parameters in the equation (1) :

[tex]CI =(0.0052-0.0035)\pm (1.96)(\sqrt{\frac{0.0052(1-0.0052)}{52}+\frac{0.0035(1-0.0035)}{41}})\\\\CI=0.0017\pm0.026[/tex]

By the result obtained in the solution, you can conclude that the sample is not enough, because the margin error is greater that the difference of proportion of each sample population.

Answer:

4,500 x 5 = 22,500

4,500 divided by 5 = 900

4,500 plus 5 = 4,505

4,500 minus 5 = 4,495

Step-by-step explanation:

it is either one of those that u have to choose from good luck

Answer:

D. e - 35

Step-by-step explanation:

We have that:

George earned e extra points.

Kate earned k extra points.

Kate earned 35 fewer extra credit points than George.

This means that k is e subtracted by 35, that is:

k = e - 35

So the correct answer is:

D. e - 35

Answer:

[tex](f+g)(x)=x^2-x-3[/tex]

Step-by-step explanation:

If [tex]f(x)=2x-1[/tex], and [tex]g(x)=x^2-3x-2[/tex], then the addition [tex](f+g)(x)[/tex] equals:

[tex](f+g)(x)=2x-1+x^2-3x-2=x^2-3x+2x-2-1=x^2-x-3[/tex]

Answer:

At first it increases by 25%, then you have 1.25x the original temp. A drop of 40% gives you .6 x 1.25, or 75% of the original temperature

Step-by-step explanation:

found that on the web for yuh. I really hope it helped.

Answer:

decreased by 25%

Step-by-step explanation:

Answer:

There are 10 teams.

Step-by-step explanation:

Given that the question wants at least 48 swimmers so any numbers above 47 are counted.

In this diagram, there are 10 teams consisting 48 swimmers and above, 48, 52, 53, 63, 76, 79, 82, 84, 85 and 86.

Answer:

10 teams have 48 or more swimmers.

Step-by-step explanation:

If we look at stem 4 there is one team with 48 members.

So counting from there we  have:

1 + 2 + 1 + 2 + 4

= 10 teams.

Answer:

f(x-2) = (x-2)²

or

f(x-2) = x² -4x + 4

Step-by-step explanation:

Simply plug in (x - 2) into f(x) to find your graph.

Edit (With Picture):

You are moving the graph right 2.

Answer:

Step-by-step explanation:

f(x) = x²

f(x - 2) = (x - 2)²

f(x - 2) = x² - 4x + 4

The grafic is below.

I hope I've helped you.

Answer:

  15

Step-by-step explanation:

The general form of an exponential equation is ...

  f(x) = (initial value)(growth factor)^x

That is, the "growth factor" is the base of the exponent. In your equation ...

  f(x) = (1/5)(15^x)

the growth factor is 15.

Answer:

D

Step-by-step explanation:

because you put the one and the five and BOOM the inter carol makes the wheel go round and round.

Answer:

x = ± i sqrt(5/8)

Step-by-step explanation:

8x^2+4=-1

Subtract 4 from each side

8x^2+4-4=-1-4

8x^2 = -5

Divide by 8

8/8x^2=-5/8

x^2 = -5/8

Take the square root of each side

sqrt(x^2) = ±sqrt(-5/8)

x =  ±sqrt(-5/8)

x =  ±sqrt(5/8) sqrt(-1)

x = ± i sqrt(5/8)

Answer:

Given:

Mean, u = 2100

A golf magazine reports the mean gain to be $2100, while the teaching professional believes the average gain is not $2100.

Here the null and alternative hypotheses would be:

Null hypothesis:

H0: u = 2100

Alternative hypothesis:

Ha: u ≠ 2100

b) Here, given the level of significance,[tex] \alpha [/tex] as 0.10. This means that:

The probability that the null hypothesis H0 is rejected when average gain is $2100 is 0.10

Answer:

2/7

Step-by-step explanation:

Seven employees can be arranged in 7! ways. n(S) = 7!

Two adjacent desks for married couple can be selected in 6 ways viz.,(1, 2), (2, 3), (3,4), (4, 5), (5,6),(6,7).

This couple can be arranged in the two desks in 2! ways. Other five persons can be arranged in 5! ways.

So, number of ways in which married couple occupy adjacent desks

= 6×2! x 5! =2×6!

so, the probability that the married couple will have adjacent desks

[tex]\frac{n(A)}{n(s)} =\frac{2\times6!}{7!} \\=\frac{2}{7}[/tex]

Answer:

Step-by-step explanation:

Plotting a point A and tracing a point B at 4 units from A results in a circle.

▪The locus of a point at equal distance from a fixed point is a circle.

▪Point A is (5,5) and length of AB is 4 units

This implies that the radius of circle is 4 units.

▪The point B can be swirled around A keeping the distance AB constant.

▪The resulting figure is a circle.

▪This circle is plotted and attached below.

I hope this helped. I am sorry if you get it wrong

Answer:

This is the right answer for Edementum and Plato users

Like and Rate!

Answer:

Step-by-step explanation:

Area of rectangular menu

Length × breadth

3×2=6sq feet

Answer:

6 ft^2

Step-by-step explanation:

area of rectangle = length * width

area = 3 ft * 2 ft

area = 6 ft^2

Answer:

Step 1

Step-by-step explanation:

Deepak given problem is: [tex]\dfrac52-3x-5+4x=-\dfrac74[/tex]

[tex]\left|\begin{array}{c|cc}$Steps&$Resulting Equation\\$1, Use the distributive property to simplify.&\dfrac52-5+4x-3x=-\dfrac74\\$2, Simplify by combining like terms&-\dfrac52+x=-\dfrac74\end{array}\right|[/tex]

[tex]\left|\begin{array}{c|cc}$3, Use the addition property of equality&-\dfrac52+\dfrac52+x=-\dfrac74+\dfrac{10}{4}\\$4, Simplify by combining like terms&x=\dfrac34\end{array}\right|[/tex]

In Step 1, he simply rearranged like terms. He did not use the distributive property. Therefore, the instruction in Step 1 was incorrect.

Answer:

step 1

Step-by-step explanation: