URGENT HELP PLeASE please just answer b and c

Answer:

165 square feet

Step-by-step explanation:

\((7 - ( - 4))(6 - ( - 9)) = 11 \times 15 = 165\)

Answer:

X<6 or X>24

Step-by-step explanation:

Using the z-distribution, it is found that a sample size of 1066 is required.

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which z is the z-score that has a p-value of .

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

From the previous study, the estimate is of 0.23, hence \(\pi = 0.23\).

98% confidence level, hence\(\alpha = 0.98\), z is the value of Z that has a p-value of \(\frac{1+0.98}{2} = 0.99\), so \(z = 2.327\).

The sample size is n for which M = 0.03, hence:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.03 = 2.327\sqrt{\frac{0.23(0.77)}{n}}\)

\(0.03\sqrt{n} = 2.327\sqrt{0.23(0.77)}\)

\(\sqrt{n} = \left(\frac{2.327\sqrt{0.23(0.77)}}{0.03}\right)\)

\((\sqrt{n})^2 = \left(\frac{2.327\sqrt{0.23(0.77)}}{0.03}\right)^2\)

\(n = 1065.5\)

Rounding up, a sample size of 1066 is required.

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Answer:

$61.29 per day.

Step-by-step explanation:

Checking account balance on February 1st: $443

Checking account balance on February 7th: $872

Difference in balances: $872 - $443 = $429

Number of days between February 1st and February 7th: 7 days

Rate of change = Difference in balances / Number of days

Rate of change = $429 / 7 days

To find the rate of change per day, divide the difference in balances by the number of days:

Rate of change = $429 / 7 days ≈ $61.29 per day

Therefore, the rate of change in your checking account balance during that period was approximately $61.29 per day.

Answer:

Step-by-step explanation:

Apr is 248  the customer has to pay 248 dollars every month for 30 years he has to pay 7,440 dollars to the bank or he will lose the house.

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

Answer:

\( \frac{1}{3} \pi( {3.5}^{2} )(11) = 44.9\pi\)

C is the correct answer.

The graph(C) of a quartic function which is correct option(B)

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Quartic polynomials are continuous curves like the cubic polynomials.

This means that can draw the graph of the quartic without lifting your pencil from the page.

There are no holes or jumps in the curve but, unlike the cubic graph, a graph of the quartic looks like a U, W or an M.

Thus, the graph(C) of a quartic function

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The equation for the line of best fit is: C. y = 0.894x + 0.535.

In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;

x          y            x²        y²          xy__

5          4          25        16       20

6          6           36       36       36

9          9           81        81        81

10         11          100       121       110

14          12        196       144      168  

Sum                  438       398     415

Next, we would calculate the mean of the x and y variables as follows;

Mean = [∑(x)]/n

Mean = 44/5

Mean, \(\bar{x}\) = 8.8

Mean = [∑(y)]/n

Mean = 42/5

Mean, \(\bar{y}\) = 8.4

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4

∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²

∑(x - \(\bar{x}\))² = 50.8

Now, we can determine the slope coefficient for the line of best fit:

Slope (b) = 45.4/50.8

Slope (b) = 0.894.

Lastly, we would determine the intercept (a) as follows;

\(a = \bar{y} - b\bar{x}\)

a = 8.4 - (0.894)8.8

a = 0.535

Therefore, the required equation is y = 0.894x + 0.535.

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Answer:

Step-by-step explanation:

Your first step is to figure out which variable you want to cancel out.

Luckily, all these problems have x or y already set up to eliminate.

You can find these variables because they are opposite signs of each other, such as -x and x

Add the y's together and the #'s on the other side together, then solve to find the 2nd variable. Once you find one, you can plug that answer into the easier of the two equations and solve for the other variable.

Answer:

hope this will help you...

75% is the missing percentage in x% of 1000000 = 750000.

A fraction of a number in hundredths, or fractions with a denominator of 100 (such as 5/100), can be expressed as a percentage, also known as a %. The Latin phrase per centum, which means "per hundred," or the French word pour cent, which has a similar meaning to the Latin word, may have been the source of the word %. A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Percent is a unit of measurement.

Given,

Let x be the missing percentage,

x% of 1000000 = 750000

Dividing,

x% = 750000/1000000

x/100 = 0.75

Cross multiplying,

x = 75

75% is the missing percentage in x% of 1000000 = 750000.

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The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer:

9

Step-by-step explanation:

f(x) = x − 7 and g(x) = x^2

g(f(4))

First find f(4)

f(4) = 4-7 = -3

Then put this result in g(x)

g(-3) = (-3) ^2 = 9

g(f(4) = 9

g(f(4)) =9.

Answer:

Solution given;

(x) = x − 7 and g(x) = x2 .

now

g(f(4))=g(4-7)=g(-3)=(-3)²=9

I think the answer is 20,016.87$

34.75

35.15

You didnt give any choices so i just picked two random ones.

Answer:

\(\frac{1}{9}\)

Step-by-step explanation:

Anything to the negative power becomes a fraction

So here we have (-3)⁻² which then becomes \(\frac{1}{(-3)^{2} }\)

This then simplifies to \(\frac{1}{9}\)

Answer:

Amanda has 8 cousins

Step-by-step explanation:

Let C be the number of cousins Caleb has, A be the number of cousins Amanda has, and R be the number of cousins Ruby has:

\(C=2A\\R=5\\R=C-11\\\\R=C-11\\5=C-11\\16=C\\\\C=2A\\16=2A\\8=A\)

Therefore, Amanda has 8 cousins.

Answer:

Amanda has 8 cousins.

Step-by-step explanation:

Let's use algebraic variables to solve the problem.

Let's assume the number of cousins Amanda has is represented by 'A'.

Since Caleb has twice as many cousins as Amanda, the number of cousins Caleb has is '2A'.

And Ruby has 5 cousins, which is 11 less than what Caleb has, so the number of cousins Caleb has is '5 + 11 = 16'.

Equating the two expressions for the number of cousins Caleb has:

2A = 16

Now we can solve for 'A', the number of cousins Amanda has:

Divide both sides of the equation by 2:

A = 16 / 2

A = 8

Therefore, Amanda has 8 cousins.

-19.99; The line of best fit underpredicts the student's science test score.

So correct option is A.

A prediction is an estimation or forecast about future events or conditions, based on past data and trends, current information, and/or mathematical models. Predictions can be made in various fields, such as finance, weather, sports, social sciences, and natural sciences. The accuracy of predictions depends on many factors, including the quality of the data used, the assumptions made, the complexity of the system being analyzed, and the reliability of the methods used. Predictions are not always accurate and are often subject to revision as new information becomes available.

The predicted science score for the student with IQ 100 can be calculated using the line of best fit:

ŷ = −20.3 + 0.7489 * 100 = 71.59

The residual is the difference between the actual science test score and the predicted science score:

residual = actual score - predicted score = 52.6 - 71.59 = -19.99

So the line of best fit underpredicts the student's science test score by 19.99 points.

Therefore, the residual is:

-19.99; The line of best fit underpredicts the student's science test score.

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Answer:

a. Possible outcomes for this chance experiment are:

(Here, D means a defective battery, and N means a nondefective battery.)

b. The number of outcomes in the sample space is infinite, as the experiment could potentially continue indefinitely. However, in practice, we can define a maximum number of batteries that could be examined before the experiment is stopped.

c. The event E, that the number of batteries examined is a number, would include outcomes where the experiment stopped at a particular number of batteries. For example, if the experiment stopped after examining three batteries (i.e., the fourth battery was nondefective), then the outcome would be DDDN, and it would be included in event E. However, outcomes where the experiment continued indefinitely (e.g., DDDDD...) would not be included in event E.

Answer:

Tanto Pedro como Jorge deberán pintar 1/4 de la habitación cada uno.

Step-by-step explanation:

Dado que el cuarto entero es igual a 1, y que Arturo por ser el mayor de los hermanos tiene que pintar 1/2 de él, la parte que falta pintar es igual a 1/2 restante.

De ese 1/2, los hermanos menores, Pedro y Jorge, deben pintar dicha fracción en partes iguales. Por lo tanto, dado que (1/2) / 2 es igual a 1/4, la fracción que tanto Pedro como Jorge deberán pintar es de 1/4 de la habitación.

Answer:

xngdshfdxb

Step-by-step explanation:

Answer: attribute of circle A

Step-by-step explanation: took it ur good

Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.

The equation can be set up as follows:

0.80x + 0.55(600 - x) = 0.60(600)

Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.

By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.

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Let x=amount of 80% solution needed

Then 600-x=amount of 30% solution needed

Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:

0.80x+0.30(600-x)=0.40*600 get rid of parens

0.80x+180-0.30x=240 subtract 180 from each side

0.80x+180-180-0.30x=240-180 collect like terms

0.50x=60 divide each side by 0.50

x=120 ml---------------------amount of 80% solution needed

600-x=600-120=480 ml---------------amount of 30% solution needed

CK

120*0.80+480*0.30=0.40*600

96+144=240

240=240

Answer:

4096

Step-by-step explanation:

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

We have,

To determine the angle created by the bottom of the ramp and the ground, we can use the trigonometric function of sine.

In the given triangle, the height is 6 ft and the base is 16 ft.

The angle we want to find is opposite the height (let's call it θ).

The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.

sin(θ) = opposite/hypotenuse

sin(θ) = 6/16

sin(θ) = 0.375

To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.375:

θ = arcsin(0.375)

θ ≈ 22.62°

To meet safety regulations, the angle should be no more than 18°. Therefore, the contractor needs to lower the ramp by:

22.62° - 18° ≈ 4.62°

Thus,

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

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