A mail order company has an 8% success rate. If it mails advertisements to 534 people, find the probability of getting less than 37 sales. Round z-value calculations to 2 decimal places and final answer to at least 4 decimal places. P(X<37)= 0.1814 Population of College Cities College students often make up a substantial portion of the population of college cities and towns. State College, Pennsylvania, ranks first with 71.1% of its population made up of college students. What is the probability that in a random sample of 138 people from State College, more than 50 are not college students? Round the final answer to at least 4 decimal places and intermediate z-value calculations to 2 decimal places. P(X>50) 0.1093 Residences of U.S. Citizens According to the U.S. Census, 67.5% of the U.S. population were born in their state of residence. In a random sample of 190 Americans, what is the probability that fewer than 114 were born in their state of residence? Round the final answer to at least four decimal places and intermediate z-value calculations to two decimal places. P(X<114)= Day Care Tuition A random sample of 54 four-year-olds attending day care centers provided a yearly tuition average of $3958 and the population standard deviation of $640. Part 1 of 2 Find the 99% confidence interval of the true mean. Round your answers to the nearest whole number. 3734 µ< $4182 Part: 1/2 Part 2 of 2 If a day care center were starting up and wanted to keep tuition low, what would be a reasonable amount to charge? Round your answer to the nearest hundred. would be a reasonable amount to charge.

The required answer are according to the following order,

a) France;

25/60 × 360/1 = 150°

b) Spain;

18/60 × 360/1 = 108°

c) Greece;

15/60 × 360/1 = 90°

d) Other;

2/60 × 360/1 = 12°

What do you mean by sum of angles?

We know that the sum of angles in a triangle is 360°. The question requires us to find the angle that corresponds to each of the given holiday destinations. We shall now proceed as follows:

The angle subtended is obtained from number of people that chose a particular location.

a) France;

25/60 × 360/1 = 150°

b) Spain;

18/60 × 360/1 = 108°

c) Greece;

15/60 × 360/1 = 90°

d) Other;

2/60 × 360/1 = 12°

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Answer : Copy the question into brainly search bar and get youre answer.

The statement that describes when the plans are based on the same number of aerobic exercise sessions is:

The number of strength-training exercises and aerobic exercises per week is calculated as follows:

Let a be the number of strength-training exercises and b be the number of aerobic exercises per week respectively.

For the beginner plan:

15a + 20b = 90  eqn. (1)

For the advanced plan:

20a + 30b = 130 eqn. (2)

Solving the simultaneous equation by elimination method:

Multiply eqn. (1) by 3 and eqn. (2) by 2

45a + 60b = 270 eqn. (3)

40a + 60b = 260 eqn. (4)

Subtract eqn. (4) from eqn. (3)

5a = 10

a = 2

Substitute a = 2 in eqn (2)

b = 3

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Complete question:

A personal trainer designs exercise plans based on a combination of strength-training and aerobic exercise. A beginner plan has 15 minutes per session of strength training and 20 minutes per session of aerobic exercise for a total of 90 minutes of exercise in a week. An advanced plan has 20 minutes per session of strength training and 30 minutes of aerobic exercise for a total of 130 minutes of exercise in a week.

Which statement describes when the plans are based on the same number of aerobic exercise sessions?

Each plan utilizes a combination of 2 strength-training sessions and 2 aerobic exercise sessions per week.

Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.

Each plan utilizes a combination of 3 strength-training sessions and 2 aerobic exercise sessions per week.

Each plan utilizes a combination of 3 strength-training sessions and 3 aerobic exercise sessions per week.

The distance that exists from point A to B is 583 feet

The distance is given as Xa - Xb

WE have to solve for Xa

Tan 7 = 141 / Xa

Xa = 141 / Tan 7

Xa = 1148.4

Next we have to solve for xB

At B the vertical change remains 141 we are to find XB using the angle 14 degrees

Tan 14 = 141 / Xb

Xb = 141 / tan 14

Xb = 565.52

Then the distance = 1148.4 -  565.52

= 582.88

≈ 583 feet

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Answer: 22

17 1/2= 17.5

4 1/2= 4.5

17.5 + 4.5 = 22

Answer:

22

Step-by-step explanation:

Firstly you should convert the mixed fraction in inproper fraction. So in this question the denominator are same thus, we can add the in proper fractions and we will get our answer.

Using the z-distribution, it is found that there is enough evidence to conclude that taking a low-dose aspirin each day reduces the chance of developing cancer.

At the null hypotheses, it is tested if there is no difference among the proportions, that is:

\(H_0: p_1 - p_2 = 0\)

At the alternative hypotheses, it is tested if the aspirir proportion is lower, that is:

\(H_0: p_1 - p_2 < 0\)

For each sample, they are given by:

\(p_1 = \frac{15}{500} = 0.03, s_1 = \sqrt{\frac{0.03(0.97)}{500}} = 0.0076\)

\(p_2 = \frac{26}{500} = 0.052, s_2 = \sqrt{\frac{0.052(0.948)}{500}} = 0.0099\)

Hence, for the distribution of differences, they are given by:

\(\overline{p} = p_1 - p_2 = 0.03 - 0.052 = -0.022\)

\(s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0076^2 + 0.0099^2} = 0.0125\)

It is given by:

\(z = \frac{\overline{p} - p}{s}\)

In which p = 0 is the value tested at the null hypothesis.

Hence:

\(z = \frac{\overline{p} - p}{s}\)

\(z = \frac{-0.022 - 0}{0.0125}\)

z = -1.76.

Considering a left-tailed test, as we are testing if the proportion is less than a value, the critical value is \(z^{\ast} = -1.645\)

Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that taking a low-dose aspirin each day reduces the chance of developing cancer.

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Answer:

d \(\geq \\\)-39

Step-by-step explanation:

d/13\(\geq \\\)-3

multiply both sides by 13

d \(\geq\) 13(-3)

d \(\geq\) -39

hope this helps

Answer:

2

Step-by-step explanation:

Monday, Tuesday.

Answer:

The answer is 3

Step-by-step explanation:

The blue part is above the orange part three times, therefore the answer is 3.

Hope this helps.

\( \sf{\qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's evaluate ~

\(\qquad \sf  \dashrightarrow \: 4 {x}^{3} {y}^{2} \)

now, plug in the values :

\(\qquad \sf  \dashrightarrow \: 4( -1 ) {}^{3}( {2)}^{2} \)

\(\qquad \sf  \dashrightarrow \: 4( - 1)(4)\)

\(\qquad \sf  \dashrightarrow \: - 4(4)\)

\(\qquad \sf  \dashrightarrow \: - 16\)

So, the equivalent value is 16

Hii!

__________________________________________________________

\(\leadsto\parallel\boldsymbol{Answer.}\parallel\gets\)

Value of the expression =

_________________________________________________________

\(\multimap\parallel\boldsymbol{Explanation.}\parallel\gets\)

SUBSTITUTE the value of "x" instead of x and the value of "y" instead of y.

\(\sf 4(-1)^3(2)^2}\)

NOW we  can use P.E.M.D.A.S. to simplify this expression.

Remember, this acronym stands for.

P=Parentheses,

E=Exponents,

M=Multiplication,

D=Division,

A=Addition,

S=Subtraction,

 and now we can use it to simplify.

We have the exponents first.

\(\sf 4\cdot(-1)\cdot4}\).

NOW we multiply.

\(\sf -16}\)

______________________________________________________

Hope that this helped! Best wishes.

\(\textsl{Reach far. Aim high. Dream big.}\)

\(\boldsymbol{-Greetings!-}\)

________________________________________________________

Answer:

i think its very interesting and pretty cool,  because there is so much to learn  and so much to explore

i wouldn't like the fact that you have to study so much though

Step-by-step explanation:

The time-series model that assumes that demand in the next period will be equal to the most recent period's demand is A) Naive approach.

This model is based on the simplest assumption of all, that the next period's demand will be equal to the current period's demand. It is called the naive approach because it assumes no underlying pattern in the data and provides a baseline prediction. The formula for the naive approach is as follows:

y(t) = y(t-1) where y(t) represents the demand in period t and y(t-1) represents the demand in the previous period.

Although this model is simple, it is often used as a benchmark for comparison with more complex models and can provide reasonable results for stable demand patterns.

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Answer:

yo did u find the answer

Step-by-step explanation:

The correct answer is A. Standard deviation measures the dispersion or variability around the expected value or mean of a data set. It is a commonly used statistical measure to quantify the spread of data points.

Standard deviation is calculated by taking the square root of the variance. The variance is the average of the squared differences between each data point and the mean. By squaring the differences, negative values are eliminated, ensuring that the measure of dispersion is always positive.

A higher standard deviation indicates greater variability or dispersion of data points from the mean, while a lower standard deviation suggests that the data points are closer to the mean.

On the other hand, the mean (option B) is a measure of central tendency that represents the average value of a data set. It does not directly measure the dispersion or variability around the mean.

The coefficient of variation (option C) is a relative measure of dispersion that is calculated by dividing the standard deviation by the mean. It is useful for comparing the relative variability between different data sets with different scales or units.

The chi-square test (option D) is a statistical test used to determine if there is a significant association between categorical variables. It is not a measure of dispersion around the expected value.

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Answer:

7 dollars and 25 cents

Step-by-step explanation:

there is 8 quarts in 2 gallons then divide 58 dollars by 8 and you get 7 dollars 25 cents

Division is one of the four fundamental arithmetic operations. The price per quart is $7.25 per quart.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that A 2-gallon bucket of paint costs $58.00. Therefore, the price per gallon is,

Price per gallon = $58/2

Since a gallon is equal to 4 quarts. Therefore, the price per quart is,

Price per quart  = $58/(4×2) = $7.25 per quart

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Answer:

the first one (in quadrant 1, pointing upwards)

Step-by-step explanation:

since the function is positive the graph will be facing upwards and start off at 1

Answer:-3/2

Step-by-step explanation: Just did the test.

The Total surface of triangular prism  is 112 inches.

To calculate the surface area of a triangular prism, you need the measurements of the base and the height of the triangular faces, as well as the length of the prism.

The given measurements are;

Base ; 5 inches and  4 inches

height is 8 inches

Length of the prism is 2 inches.

To find the total surface area, we sum up the areas of all the faces:

Total surface area = area of triangular  faces + area of rectangular faces + area of lateral faces.

area of triangular faces = 5 inches × 4 inches = 20 inches.

area of the two faces = 20 ×2 =40

Area rectangular faces = 5 inches × 8 inches/ 2 = 40 inches.

Area of lateral faces = 8 inches ×2 = 16 square inches

for the two lateral faces is 16 × 2 = 32 square inches.

Total surface area = 40 square inches + 40 inches + 32 square inches = 112 square inches.

The Total surface of triangular prism  is 112 inches.

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The slope (m) of the line in the given graph, in simplest form, is: 5/8.

The slope (m) of a line is calculated as the ratio of the rise to the run. Which is the same thing as, change in y/change in x.

The rise line is the red line while the run line is represented with the the blue line.

The line is declining, so the slope (m) will be a negative value.

Slope (m) = rise/run = 5 units/8 units

Slope (m) = 5/8

Thus, the slope (m) of the line in the given graph, in simplest form, is: 5/8.

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The difference quotient of f; that is, \(\frac{f(x+h)-f(x)}{h}\), h ≠ 0 for the function f(x) = x^2 - 9x + 6 is 2x - 9.

The function is f(x) = x^2 - 9x + 6.

We have to determine the differential equation; that is \(\frac{f(x+h)-f(x)}{h}\).

To find the value of f(x+h) substitute x+h in place of x the the function.

f(x+h) = (x+h)^2 - 9(x+h) + 6

Solving

F(x+h) = x^2 + 2xh + h^2 - 9x - 9h + 6

Now putting the value

\(\frac{f(x+h)-f(x)}{h} = \frac{(x^2 + 2xh + h^2 - 9x - 9h + 6)-(x^2 - 9x + 6)}{h}\)

Simplify

\(\frac{f(x+h)-f(x)}{h} = \frac{x^2 + 2xh + h^2 - 9x - 9h + 6-x^2 + 9x - 6}{h}\)

\(\frac{f(x+h)-f(x)}{h} = \frac{2xh + h^2 - 9h}{h}\)

Taking common h on both side, we get

\(\frac{f(x+h)-f(x)}{h} = \frac{h(2x + h - 9)}{h}\)

\(\frac{f(x+h)-f(x)}{h}\) = (2x + h - 9)

Now setting the limit h tends to 0

\(\lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}\) = \(\lim_{h\rightarrow 0}\)(2x + h - 9)

Now putting h = 0, we get

\(\lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}\) = 2x - 9

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The complete question is:

Find the difference quotient of f; that is, find \(\frac{f(x+h)-f(x)}{h}\), h ≠ 0 for the following function. Be sure to simplify.

f(x) = x^2 - 9x + 6

Answer:

28.65 yds (If you have to round do 29)

Step-by-step explanation:

a^2 + b^2 = c^2

14^2 + 25^2 = c^2

196 + 625 = 821

since c is squared you have to find the square root of 821

821 squared equals 28.65 yards

Answer:

x = -6

Step-by-step explanation:

sum means +

36 + 3x = 18

3x = 18 - 36

3x = -18

x = -6

Answer:

Step-by-step explanation:

36 + 3x = 18

subtract 36 from both sides

3x= -18

divide by 3

x = -6

Answer:

7x+12y

Step-by-step explanation:

Equation 1: 2x+4y        Equation 2: 5x+8y

(2x+4y)+(5x+8y)

1. Move and add like terms:   (2x+5x)+(4y+8y)

2. Remove parentheses:   (7x)+(12y)

7x+12y

Answer:

Area=16.65

Perimeter=26.3

Step-by-step explanation:

To find the area of a triangle, you must multply the length and height and divide by two. An equation like this could help find the area of a triangle: A=2÷(L×W) In your case, 7.4 is the length and 4.5 is the base. Multiply 7.4 and 4.5 together and divide the result by 2.

To find the perimeter, just add 7.4, 6.3, and 12.6 together. 4.5 doesn't get added, only the 3 sides of the triangle do. Don't forget to label the measurements.

Usando proporciones, hay que se necessita 8.42 litros de pintura para pintar 1 metro cuadrado de pared.

Una proporción es una fracción de la cantidad total, e puede ser encontrada aplicando una regla de três.

En este problema, se utilizan 9.01 litros de pintura para pintar 1.7 metros cuadrados, por eso, la cantidad relativa a 1 metro cuadrado es dada por:

c = 9.01/1.7 = 8.42 litros.

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Answer:

4x

Step-by-step explanation:

2 X 2x = 2x+2x= 4x

Answer:

4x

Step-by-step explanation:

So when you multiply 2×2=4

And since it's multiplication you can add the x to it giving you 4x(if it's addition you can't add them because they aren't like terms)

9514 1404 393

Explanation:

Given:

Prove:

Proof:

∠BOA +∠BOC +∠AOC = 360° . . . . . sum of arcs of a circle is 360°

2α +∠BOA = 180°, 2β +∠AOC = 180° . . . . . sum of triangle angles is 180°

∠BOA = 180° -2α, ∠AOC = 180° -2β . . . . solve statement 2 for central angles

(180° -2α) +∠BOC +(180° -2β) = 360° . . . . . substitute into statement 1

∠BOC = 2(α +β) . . . . . add 2α+2β-360° to both sides

∠BOC = 2×∠BAC . . . . . substitute given for α+β; the desired conclusion

Answer:

27.44

Step-by-step explanation:

area of the half sircle = 12.56

area of the rectangle = 40

area of the shaded protion = 40 -12.56

=27.44 square yards

Answer:

y = (8/3)x - (2/3)

Step-by-step explanation:

y1-y2

x1-x2

(-6-2)/(-2-1) = (-8/-3) =8/3

So far we have y=(8/3)x

We can plug in one of the points given to find the y-intercept.

2=(8/3)(1)

2=(8/3)

(6/3) = (8/3)

This is false

To make it true we must subtract (2/3)

And that means the equation is

y = (8/3)x - (2/3)

B 628.32

Step-by-step explanation:

the radius would be 10 and the height is 6