The height of American women ages 18 and 29 are normallydistributed with a mean of 64.3 inches and a standard deviation of3.8 inches. What is the probability that she is less than 70 inchestall? (W

Answer:

Option h: 16h

Step-by-step explanation:

To get the answer to the question divide 480 by 30 to get the rate which is 16. So the answer would be H

Answer:

The answer is below

Step-by-step explanation:

From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).

a) The equation of a line in slope intercept form is given by y = mx + b, where m is the slope and b is the intercept. Also, the equation of line passing through

\((x_1,y_1)\ and\ (x_2,y_2)\ is:\\\\y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\)

Hence since it passes through  (7.75, 0) and (10.75, 42), the equation is:

\(y-0=\frac{42-0}{10.75-7.75} (x-7.75)\\\\y=14(x-7.75)\\\\y=14x-108.5\)

b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:

y = 14x - 108.5

56 = 14x - 108.5

56 + 108.5 = 14x

164.5=14x

x = 164.5/14

x = 11.75

When the tower is 56 meters tall, the top of the tower is 11.75 m off center

Answer:

Step-by-step explanation:

The sample mean is an unbiased estimator of the population; therefore its mean across samples is 189.8. The standard error (defined as the standard deviation of these sample means) is 41.7 divided by the square root of 117, the sample size.

Answer:

The temperature at 11:00 a.m. is 14 °F

Step-by-step explanation:

Let us list the information in the question

→ The temperature at 7:00 a.m. is - 7 °F

→ The temperature increases 21 °F during 4 hours

→ We need to find the temperature at 11:00 a.m.

∵ The temperature increases 21 °F during 4 hours

∵ The time 4 hours after 7: 00 a.m. is 11:00 a.m.

→ That means add 21 °F to - 7 °F to find the temperature at 11:00 a.m.

∴ The temperature at 11:00 a.m. = -7 °F + 21 °F

∴ The temperature at 11:00 a.m. = 14 °F

The temperature at 11:00 a.m. is 14 °F

The statement that is true is:

b.) A high correlation can indicate a relationship but cannot prove causation.

Correlation measures the strength and direction of the relationship between two variables, but it does not necessarily imply causation. A high correlation means that there is a strong linear relationship between the two variables, but it does not indicate whether one variable causes the other. There can be other factors that influence the relationship. Therefore, it is important to use other methods, such as experiments or observational studies, to determine causation. Correlation is useful for identifying associations between variables, but it cannot be used as evidence of a causal relationship.

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Answer:

  yes

Step-by-step explanation:

You want a graph of P = 125 +50W.

The given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.

Usually, the independent variable is graphed on the horizontal axis, which you have done.

The dependent variable is graphed on the vertical axis, which you have done.

The axes are correctly labeled and graduated.

The "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.

The slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.

Yes, you properly graphed the equation.

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Ann will get a payment of £220.

So, according to the question, the correct logic will be:

Therefore, Ann will get a payment of £220.

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Answer:

2) 1. 73

   2. 107

   3. 73

   4. 107

   5. 73

   6. 107

   7. 73

  8. 107

4) 1. 46  

   2. 134

   3. 46

   4. 134

   5. 46

   6. 134

   7. 46

   8. 134

Step-by-step explanation:

Answer:

The directional earing is N 30° E

Step-by-step explanation:

The given velocity vector is (25, 25·√3), therefor, we have;

R = 25·i + 25·√3·j

The angle of inclination of the direction of the boat with the horizontal = Arctan (y/x)

Where;

(x, y) = The coordinate of the components of the velocity of the boat

Therefore;

Arctan (y/x)  =  Arctan (25·√3/25) = Arctan (√3) = 60° North of East

The directional bearing which is the bearing relative to the northern direction is given as follows;

The directional earing = 90° - 60° = N 30° E.

Answer:

A on Egde

Step-by-step explanation:

i got it right

Answer: To apply l'Hospital's Rule, we need to take the derivative of the numerator and denominator separately with respect to θ.

Taking the derivative of the numerator:

d/dθ [1 - sin(θ)] = -cos(θ)

Taking the derivative of the denominator:

d/dθ [1 + cos(6θ)] = -6 sin(6θ)

Now we can apply l'Hospital's Rule by taking the limit of the ratio of the derivatives:

lim θ→π/2 (-cos(θ)) / (-6 sin(6θ))

When θ approaches π/2, cos(θ) approaches 0 and sin(6θ) approaches 1. Therefore, the limit simplifies to:

= 0 / (-6)

= 0

Hence, the limit of (1 - sin(θ)) / (1 + cos(6θ)) as θ approaches π/2 is 0.

The equation of the line would be y = (-3/4)x + 5.

What is the slope-point form of the line?

For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be

                      y - y1 = m(x - x1)

The given equation is \(y=-\frac{3}{4}x-17\)

The required line is parallel to the given line.

and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4

And the required line passes through (8, -1)

so by using slope - point form of the line,

      y - (-1) = (-3/4)(x - 8)

      y + 1 = (-3/4)x - (-3/4)8

       y + 1 = (-3/4)x + 24/4

       y = (-3/4)x + (12/2 - 1)

       y = (-3/4)x + 5

Hence, the equation of the line would be y = (-3/4)x + 5.

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Answer:

first one top left

Step-by-step explanation:

The number of can of soups purchased is 10 and the number of frozen dinner purchased is 10.

What are the linear equations in two variables?

A linear equation in two variables is one that is written in the form ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are not equal to zero. For example, 10x+4y = 3 and -x+5y = 2 are two-variable linear equations.

Let 'x' number of cans of soup purchased and 'y' number of frozen dinners purchased.

By the given condition, we can prepare the equations,

              x + y = 15 --------(I)

       200x + 500y = 4500 -----(II)

now from (I), y = 15 - x

Substitute the value of 'y' in the equation (II), we get

              200x + 500(15 - x) = 4500

              200x + 7500 - 500x = 4500

               300x = 3000

                    x = 3000/300

                    x = 10

Put x = 10 in equation (I), we get

                  y = 5

Hence, the number of can of soups purchased is 10 and the number of frozen dinner purchased is 10.

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I believe the answer is:

690,000

Answer:

x = 10

Step-by-step explanation:

Simplifying

5x + -6 = 44

Reorder the terms:

-6 + 5x = 44

Solving

-6 + 5x = 44

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.

-6 + 6 + 5x = 44 + 6

Combine like terms: -6 + 6 = 0

0 + 5x = 44 + 6

5x = 44 + 6

Combine like terms: 44 + 6 = 50

5x = 50

Divide each side by '5'.

x = 10

Simplifying

x = 10

The given probability, the collection of all possible outcomes is sample space.

Probability is the statistics term that defines a number that reflects the chance or likelihood that a particular event will occur.

Here we have given that i roll a four-sided die. the possible outcomes are 1, 2, 3, or 4, depending on the number of spots on the side of the die that is face down.

And we need to find collection of all possible outcomes is called.

While we looking into the given question, we know that,

In order to solve this one, we must know the definition of sample space.

The term sample space means a collection or a set of possible outcomes of a random experiment.

According to the definition, here the sample space is the set composed by all the possible outcomes of your random variable.

According this case, the random variable is 4 sided dice,

Therefore the sample space is

S = {1, 2, 3, 4}

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Answer:

around 73-89%

Step-by-step explanation:

Hope this helps!

answer:

8x - 16 + 5x + 15 = 90

and

8x - 6 + 18x + 4 = 180

Answer:

I hope this helps:)

Step-by-step explanation:

Answer:

C=2πr

Step-by-step explanation:

The number of gallons  to cover 4 walls will be 1.28  gallons

The walls are four in number. Each wall is rectangular in shape. The length of each wall is 14 feet and the height is 8 feet. A gallon of paint will cover an area of 350 square feet. For each wall, the area can be computed since the height and the length is known.

Area of each wall(rectangle) = Length × height

length = 14 feet

height = 8 feet

Area of each wall(rectangle) = 14 × 8

Area of each wall = 112 square feet

The total square feet is 112 × 4 walls

The total square feet of the 4 walls = 448  square feet

Since, 1 gallon will  cover 350 square feet, the number of gallons will be:

= 448/350

= 1.28  gallons

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the answers are a and b and c

Answer: 45

Step-by-step explanation:

From the question, we are informed that Mai is making personal pizzas for a party and that she uses 10 ounces of cheese to make four pizzas. The number of ounce per pizza will be:

= 10/4 = 2.50 ounces per pizza

Therefore, the number of ounces of cheese that will be needed to make 18 pizzas will be:

= 2.50 × 18

= 45 ounces of cheese

Last option is the correct answer

x= √2, −√2, 3, −3

Answer: The correct answer is A.

Step-by-step explanation: The graph cannot have a maximum, as the quadratic function goes on forever upwards. However, it can have a minimum, and the lowest point on the quadratic function is (1, -4).

Answer:

see

Step-by-step explanation:

1.

AD²+BD²=AB²

AD²+12²=15²

AD²+144=225

AD²=225-144

AD²=81

AD=√81

AD=9

2.

AC=AD+DC

AC=9+16

AC=25

3. I don't know what's the answer here.

Please give me brainlist.

If in a fraction the numerator is 1 less than the denominator if 1 is added to the numerator and 5 to denominator the fraction becomes 1 / 2 . The  the original fraction​ is4/5.

Let's assume that the denominator of the original fraction is x. Then, according to the problem, the numerator is x - 1.

If 1 is added to the numerator and 5 is added to the denominator, we get:

(x - 1 + 1) / (x + 5) = 1/2

Simplifying the left side of the equation, we get:

x / (x + 5) = 1/2

Multiplying both sides by 2(x + 5), we get:

2x = x + 5

Subtracting x from both sides, we get:

x = 5

So, the denominator of the original fraction is 5, and the numerator is 5 - 1 = 4.

Therefore, the original fraction is 4/5.

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Answer:

720°

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Divide by 60 to find number of sides (n)

n = 360° ÷ 60° = 6

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

The sum of the exterior angles of a regular polygon is 360º

Each exterior angle of a regular polygon is 60º/n

360º/n=60º

360/60=n

6=n

A polygon with 6 sides is a hexagon.

Use the formula (n-2)×180

(6-2)*180=4*180=720º

another solution...

you have 6 interior angles (hexagon)

if an exterior angle is 60º, the corresponding interior angle is 180-60=120º

you have 6 of these 120º angles

6*120=720º