The money
m
(in £) Noah has to spend each week is his wage
w
(in £) subtract the tax
t
(in £) he pays on his income. Enter a formula for the money he can spend and enter how much he has to spend if he earns £160 a week and pays £55 in tax.

The odds in favor of her selecting a red marble = 6/7

Here, Madison has a bag with 30 red marbles and 5 green marbles. she chooses one at random.

We need to decide the odds in favor of her selecting a red marble.

Total number of marbles = 30 + 5

Total number of marbles = 35

So, the odds in favor of her selecting a red marble would be,

p = number of favourable outcomes / total number of outcomes

p = 30/35

p = 6/7

Therefore, the probability that she select a red marble is 6/7

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ4

Answer:  B=90 degrees maybe

Step-by-step explanation:

Yes, These data suggest a statistically significant difference between the proportions of drug-resistant cases in the two cities.

In first city, the drug-resistant proportion is significant while In other city, It is not significant.

What is Ratio and proportion ?

A ratio is an ordered pair of numbers a and b, expressed as a / b, where b is not equal to 0. A percentage is an equation in which two ratios are made equal to one another.

Let the first city to be City A and the other city as City B.

In city A, 14 cases are of drug-resistant out of total 221 cases.

In city B, 6 cases are of drug-resistant out of total 322 cases.

We'll find the proportion of drug-resistant cases of both cities,

City A = 14 / 221 = 0.06 > 0.02

City B = 6 / 322 = 0.018 < 0.02

If use a 0.02 level of significance then,

City A has significant drug-resistant cases while City B does not have significant cases.

Learn more about Ratio and proportion from the link given below :

https://brainly.com/question/12024093

#SPJ4

The formula to convert the sample mean to a z score is, z = (x−μ)/σ/√n

a) Probability that the sample average sediment density is at most 3 is 0.9525 and probability between 2.69 and 3.00 is 0.4525..

b) Large Sample size is approx. 4 ..

We have given that,

Suppose the sentiment density of a randomly selected specimen from a certain region is normally distributed with

Sample mean , X-bar = 2.69

Sample size , n = 25

Standard deviations, σ = 0.74

a) we have to see what's the probability that the sample average setiment is at most 3 and then we're going to calculate between 2.69 and 3 point, so the firstly we have to calculate the standard error.

standard error = σ/√n = 0.74/√25

=> standard error = 0.148

the probability that x is between 2.69 and 3 in the probability of 2.69, i.e P (2.69<z <3)

P(at most 3 ) = P( X-bar <3) = P( X-bar - u /σ /√n<( 3 - 2.69) /0.74/5 )

=> P(z< 1.67) = 0.9525

P (2.69<z <3) = P( 2.69 - 2.69/0.74/5<z< 1.67)

=> P( <z< 1.67) = 0.4525

b) A large sample size is needed to make sure the first probability is 0.99.

If P(X-bar <3) = 0.99

=> P( 0<z<(3-2.69)/0.74/√n ) = 0.99

=> (3 - 2.69 )/0.74 /√n = 2.33

=> 0.31 √n /0.25 = 2.33

=> n = ( 2.33×0.25/0.31)² = 3.5 ~ 4

Hence, sample size is 4 and P( <z< 1.67) is 0.4525

To learn more about Normal probability distribution, refer :

https://brainly.com/question/6476990

#SPJ4

A system of linear inequalities for the number of packages of both hot dogs and hamburgers that can be bought is as follows:

x + y ≥ 3.

4x + 5y ≤ 20.

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of hamburgers respectively, and then translate the word problem into algebraic equation as follows:

Since you will need at least 3 packages of both hot dogs and hamburgers, the linear inequality to represent this is as follows:

x + y ≥ 3.

For the cost of both hot dogs and hamburgers, and the maximum amount you can spend;

4x + 5y ≤ 20.

Read more on inequality here: brainly.com/question/29115398

#SPJ1

Answer:

b)-8

Step-by-step explanation:

Because the absolute value of -8 is 8 and it will have an greater number then all of them

Answer: 350 meters

Step-by-step explanation: if she can run 2100 meters in 6 minutes to get 1 minute you can to divide by 6. so 6 minutes turn to 1 minute and 350 meters.

5.94 minutes is the half-life, or the amount of time it takes to half the substance to degrade (about 6 minutes).

When we use the formula A = A0(1 - r)t,

(1/2)A₀ = A₀(1 - 0.11)t

[Divide both sides by A₀ results in:

1/2 = (0.87)t

Using the log of both sides;:

log(1/2) = log(0.87)t

Using a logarithm property, we can bring the "t" to the front, giving us:

log(1/2) = t.log(0.89)

[Dividing both sides with log(0.89) gets us:

t =  log(1/2)/log(0.89)

Using calculator for soling the values.

t = 5.94 seconds

Thus, 5.94 minutes is the half-life, or the amount of time it takes to half the substance to degrade (about 6 minutes).

To know more about the half-life of a radioactive substance, here

https://brainly.com/question/1160651

#SPJ4

Answer:

The answer is 1.4

Answer:

y=35

Step-by-step explanation:

3y+25+2y+30+2y-5+y+30=360

Combine like terms then you will get
8y+80=360
8y=280

y=35

Answer:

35°

Step-by-step explanation:

the sum of the angles in a quadrilateral is 360 degrees

let 's make and solve the equation

3y + 25 + 2y + 30 + 2y - 5 + y +30 = 360

Combine like terms then you will get

(3y + 2y + 2y + y) + (25 + 30 - 5 + 30) = 360

8y + 80 = 360

8y + 80 - 80 = 360 - 80

8y = 280

y = 280:8

y= 35

Answer:

$8.75 for one ticket

Step-by-step explanation:

Since this is just plain division, you'd divide 52.50 by 6 and get your answer of 8.75.

Hope I helped!

Answer to question 1:
2/5

Explanation:
This square is a 10 by 10 graph, meaning there is 100 total blocks, and 40 of the squares are shaded in, making 40/100 of the squares shaded. 40/100 is then simplified to 2/5.

Answer to question 2:
0.6

Explanation:
As previously stated, the graph has a total of 100 squares, and 60 of the squares are not shaded, making it 60/100 squares unshaded. 60/100 is then converted to a decimal of 0.6.

Answer:

what is the question??????

Answer:

30

Step-by-step explanation:

9-(-21) = 9+21 = 30

The lengths of the bamboo sticks obtained using the quadratic formula are;

33.06 cm and 16.94 cm

The quadratic formula used to find the solution of quadratic equations can be presented as follows;

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4\times a \times c} }{2 \times a}[/tex]

The area of the rhombus = 280 cm²

The length of the stick = 50 cm

Let x represent a length of the sticks , therefore;

The length of the other stick = 50 - x

The rhombus consists of two  triangles

The height of the triangles is half the length of the diagonal of the rhombus, therefore;

Area =  x × (50 - x) × 0.5 = 280

-0.5·x² + 25·x = 280

x² - 50·x + 560 = 0

x = (50 ± √((-50)² - 4 × 1 × (560))/(2)

x ≈ 33.06, or x ≈ 16.94

The lengths of the bamboo sticks are;

Learn more about quadratic equations in algebra here:

https://brainly.com/question/29478725

#SPJ1

Answer:

11.3

Step-by-step explanation:

Angles A & B are each 45 degrees because if you subtract 90 from 180 and divide that by 2 you get 45 then you do:

sin(45) times 16 which is 11.3

SIN = opposite over hypotenuse.

The value used for the parameter p is 0.544.

The number of successes in a sample of size n drawn with replacement from a population of size N is typically modeled using the binomial distribution. The mean for this type of distribution is computed by multiplying the number of trials (n) by the probability that they will succeed (p). Then, mean = n×p. The variance is n×p×q, where q is the probability that the event fails. The standard deviation is √(n×p×q).

Here, given that the percentage of tickets sold with popcorn is 54.4% and those not sold is 45.6%, the parameter (p) we used to calculate when the event occurs is 0.544. Because it is the probability that the sale of movie tickets with popcorn occurs.

The answer is 0.544.

The complete question is -

Consider how the following scenario could be modeled with a binomial distribution, and answer the question that follows.

54.4% of tickets sold to a movie are sold with a popcorn coupon, and 45.6% are not.

You want to calculate the probability of selling exactly 6 tickets with popcorn coupons out of 10 total tickets (or 6 successes in 10 trials).

What value should you use for the parameter p?

To know more about binomial distribution:

https://brainly.com/question/14565246

#SPJ4

Answer:

Amy will get detention if she is tardy

Step-by-step explanation:

The one - year standard deviation is, 10.45%.

what is standard deviation?

The standard deviation in statistics is a measurement of how much a set of values can vary or be dispersed. A low standard deviation suggests that values are typically close to the set's mean, whereas a high standard deviation suggests that values are dispersed over a wider range.

Given:

A portfolio has a 3-year standard deviation of 18.1%.

We have to find the one - year standard deviation.

One - year SD = Variance / number of years.

Here,

Variance = square of standard deviation = (18.1)^2 = 327.61

So,

One - year SD = 327.61 / (3/1)

One - year SD = 109.20

Now,

(109.2)^(1/2) = 10.45%

Hence, the one - year standard deviation is, 10.45%.

To know more about standard deviation, click on the link

https://brainly.com/question/475676

#SPJ4

1) the maximum number of different 2 letter words = 650

2) 3901 words that should be printed to be sure of having at least 7 identical words on the list.

3) if there are 5201 words on the list, then there are 11 identical words

In this question, we have been given a list of randomly generated 2-letter words printed on a paper and he letters cannot be repeated.

1)the maximum no. of different 2 letter words would be,

using permutation,

^(26)P_2 =  650

2) the least number of words that should be printed to be sure of having at least 7 identical words on the list.

650 * 6 = 3900

3900 + 1 = 3901

to sure 7 identical words 3901 words should be printed.

3) the least number of identical words are printed if there are 5201 ""words"" on the list.

5201 = (520 * 10) + 1

so, there are at least 11 identical words.

Therefore, 1) the number of different 2 letter words = 650

2)  the least number of words that should be printed to be sure of having at least 7 identical words on the list = 3901

3) if there are 5201 words on the list, 11 identical words should be printed.

Learn more about permutation here:

https://brainly.com/question/28720645

#SPJ4

Answer: 480 are teenagers

Step-by-step explanation:

To find a percentage of a number, I like to convert the percentage into its decimal form, so I do...

10% = .1 because a percentage is out of a whole number. 100% = 1.

Next, multiply your sum by the percentage you are looking for, so...

[tex]4800*.1=480[/tex]

The error is not using PEMDAS in right order and the answer is 75.

PEMDAS is a method of operation in which operations are done in the order of parentheses first , then exponents, multiplication, division, addition and subtraction in the respective manner.

Given expression, 62 + 3 + 5 x 2

By using PEMDAS,

Step.1 - Firstly do the multiplication;

             62 + 3 + 5 x 2 = 62 + 3 + 10

Step.2 - Now add the remaining terms;

             62 + 3 + 10 = 75

Therefore, the answer is 75 .

To learn more about PEMDAS;

https://brainly.com/question/11421179

#SPJ1

The basketball player made 15 errors in  100 games as of the given condition.

Given that,
A baseball player made 9 errors in 60 games, how many errors would we expect the player to make in 100 games is to be determined.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Let the error be x, for 100 games,
Now, according to ot the question,
9/60= x / 100
x = 15

Thus, the basketball player made 15 errors in  100 games.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ1

Answer:39cm

Step-by-step explanation:

Answer:

  GCF = 6; sum = 6(1 +3)

Step-by-step explanation:

You want the greatest common factor of 6 and 18.

The greatest common factor is the largest factor common to both numbers. Here, we can factor the numbers as ...

  6 = 6·1

  18 = 6·3

The factor 6 is common to both numbers. (Other numbers, such as 1, 2, and 3 are also common factors, but 6 is the largest.)

The GCF is 6.

In terms of the GCF, the sum can be written ...

  6 +18 = 6(1 +3)

__

Additional comment

If the smaller number is not a factor of the larger, then the next value to check is the difference between the larger and smaller.

Euclid's algorithm tells you the remainder from division of the larger by the smaller will be zero when the divisor is the GCF. Otherwise, the remainder can be used to replace the larger number for trying again.

Here, 18/6 = 3 r 0, so 6 is the GCF.

[tex]~~~~~~ \stackrel{\textit{\LARGE Monica}}{\textit{Simple Interest Earned}} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$100\\ r=rate\to 3.3\%\to \frac{3.3}{100}\dotfill &0.033\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (100)(0.033)(1) \implies I = 3.3 \\\\[-0.35em] ~\dotfill[/tex]

[tex]~~~~~~ \stackrel{\textit{\LARGE Paul}}{\textit{Simple Interest Earned}} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$200\\ r=rate\to 2.1\%\to \frac{2.1}{100}\dotfill &0.021\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (200)(0.021)(1) \implies I = 4.2[/tex]

well, Monica needs to check more closely what was in that last cup of coffee she drank, she's hallucinating.

Answer:

a mixed fraction or decimal

Answer:

Usually we write the final answer with positive exponents.

[tex]\frac{1}{x^{2} }[/tex]

Step-by-step explanation:

[tex]\frac{x^{5} }{x^{7} }[/tex]

When we are dividing powers with the same bases, we subtract the exponents.

[tex]x^{5-7}[/tex] = [tex]x^{-2}[/tex] or [tex]\frac{1}{x^{2} }[/tex]

The recent college graduate upon passing her exam with a probability will be as follows:

(a) Let the event where she passes the exam be denoted as [tex]E_{i}[/tex] and by i-th exam.

P(passes all exams) = P([tex]E_{3} E_{2} E_{1}[/tex]) = P([tex]E_{3} | E_{2} E_{1}[/tex])P([tex]E_{2} | E_{1}[/tex])P([tex]E_{i}[/tex])

= (0.7)(0.8)(0.9)

= 0.504

(b) By calculating,

[tex]P (E_{1} E_2^{c} | (E_{1} E_{2} E_{3})^{c})[/tex] = [tex]\frac{P (E_{1} E_2^{c} | (E_{1} E_{2} E_{3})^{c})}{P((E_{1} E_{2} E_{3})^{c})}[/tex]

= [tex]\frac{P(E_{1} E^{c}_{2}) }{P((E_{1} E_{2} E_{3})^{c})}[/tex]

= [tex]\frac{P(E^{c}_{2} | E_{1)}P(E_{1 )} } {{P((E_{1} E_{2} E_{3})^{c})}}[/tex]

= [tex]\frac{(1- P (E_{2}|E_{1})) P(E_{1})}{1-P(E_{1} E_{2} E_{3} }[/tex]

= [tex]\frac{(1-0.8) X 0.9}{1-0.504}[/tex]

where we know the denominator from part (a)

≈ 0.3629

Probability theory deals with numerical representations of the likelihood that an event will happen or that a statement is true. A probability is a number between 0 and 1, where 0 essentially signifies an event's impossibility and 1 generally denotes certainty. The likelihood that something will happen is what is commonly referred to as probability. We can talk about the likely of one outcome, or the likelihood of a few outcomes, when we don't know how an event will turn out. An event's probability distribution is studied in statistics.

To learn more about probability: https://brainly.com/question/13604758

#SPJ4

Answer:

1/2x+3/4y=10

ANS:

x=

−3

2

y+20

Let's solve for x.

1

12

12x+

12x+3

12x+34

12x+34y=10

Step 1: Add (-3)/4y to both sides.

1

12

12x+

12x+3

12x+34

12x+34y+

12x+34y+−3

12x+34y+−34

12x+34y+−34y=10+

12x+34y+−34y=10+−3

12x+34y+−34y=10+−34

12x+34y+−34y=10+−34y

12x+34y+−34y=10+−34y1

12x+34y+−34y=10+−34y12

12x+34y+−34y=10+−34y12x=

12x+34y+−34y=10+−34y12x=−3

12x+34y+−34y=10+−34y12x=−34

12x+34y+−34y=10+−34y12x=−34y+10

Step 2: Divide both sides by 1/2.

1

2

x

x1

x12

x12=

x12=−3

x12=−34

x12=−34y+10

x12=−34y+101

x12=−34y+1012

x12=−34y+1012x=

x12=−34y+1012x=−3

x12=−34y+1012x=−32

x12=−34y+1012x=−32y+20

Answer:

Answer:x=

Answer:x=−3

Answer:x=−32

Answer:x=−32y+20

question