24+26
\(25 + 52\)
​

Answer:

(A)

Step-by-step explanation:

The survey follows of women's height a normal distribution.

The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.

The new height requirements would be 57.7 to 68.6 inches

The given parameters are:

\mathbf{\mu = 63.5}μ=63.5 --- mean

\mathbf{\sigma = 2.5}σ=2.5 --- standard deviation

(a) Percentage of women between 58 and 80 inches

This means that: x = 58 and x = 80

When x = 58, the z-score is:

\mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

This gives

\mathbf{z_1= \frac{58 - 63.5}{2.5}}z

1

=

2.5

58−63.5

\mathbf{z_1= \frac{-5.5}{2.5}}z

1

=

2.5

−5.5

\mathbf{z_1= -2.2}z

1

=−2.2

When x = 80, the z-score is:

\mathbf{z_2= \frac{80 - 63.5}{2.5}}z

2

=

2.5

80−63.5

\mathbf{z_2= \frac{16.5}{2.5}}z

2

=

2.5

16.5

\mathbf{z_2= 6.6}z

2

=6.6

So, the percentage of women is:

\mathbf{p = P(z < z_2) - P(z < z_1)}p=P(z<z

2

)−P(z<z

1

)

Substitute known values

\mathbf{p = P(z < 6.6) - P(z < -2.2)}p=P(z<6.6)−P(z<−2.2)

Using the p-value table, we have:

\mathbf{p = 0.9999982 - 0.0139034}p=0.9999982−0.0139034

\mathbf{p = 0.9860948}p=0.9860948

Express as percentage

\mathbf{p = 0.9860948 \times 100\%}p=0.9860948×100%

\mathbf{p = 98.60948\%}p=98.60948%

Approximate

\mathbf{p = 98.61\%}p=98.61%

This means that:

The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.

So, many women (outside this range) would be denied the opportunity, because they are either too short or too tall.

(b) Change of requirement

Shortest = 1%

Tallest = 2%

If the tallest is 2%, then the upper end of the shortest range is 98% (i.e. 100% - 2%).

So, we have:

Shortest = 1% to 98%

This means that:

The p values are: 1% to 98%

Using the z-score table

When p = 1%, z = -2.32635

When p = 98%, z = 2.05375

Next, we calculate the x values from \mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

Substitute \mathbf{z = -2.32635}z=−2.32635

\mathbf{-2.32635 = \frac{x - 63.5}{2.5}}−2.32635=

2.5

x−63.5

Multiply through by 2.5

\mathbf{-2.32635 \times 2.5= x - 63.5}−2.32635×2.5=x−63.5

Make x the subject

\mathbf{x = -2.32635 \times 2.5 + 63.5}x=−2.32635×2.5+63.5

\mathbf{x = 57.684125}x=57.684125

Approximate

\mathbf{x = 57.7}x=57.7

Similarly, substitute \mathbf{z = 2.05375}z=2.05375 in \mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

\mathbf{2.05375= \frac{x - 63.5}{2.5}}2.05375=

2.5

x−63.5

Multiply through by 2.5

\mathbf{2.05375\times 2.5= x - 63.5}2.05375×2.5=x−63.5

Make x the subject

\mathbf{x= 2.05375\times 2.5 + 63.5}x=2.05375×2.5+63.5

\mathbf{x= 68.634375}x=68.634375

Approximate

\mathbf{x= 68.6}x=68.6

Hence, the new height requirements would be 57.7 to 68.6 inches

Answer:320000

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can use trigonometry to find the angle between the slant height and the base of the cone.

The base of the cone is a circle with radius 1.65 cm. The slant height is the hypotenuse of a right triangle whose other two sides are the height (which we don't know) and the radius (1.65 cm).

Using the Pythagorean theorem, we can find the height of the cone:

height^2 = (slant height)^2 - (radius)^2

height^2 = (4.70 cm)^2 - (1.65 cm)^2

height^2 = 19.96 cm^2 - 2.72 cm^2

height^2 = 17.24 cm^2

height = sqrt(17.24) cm

height = 4.15 cm (rounded to two decimal places)

Now we can use trigonometry to find the angle between the slant height and the base of the cone.

tan(angle) = opposite / adjacent

tan(angle) = height / radius

tan(angle) = 4.15 cm / 1.65 cm

tan(angle) = 2.515

Taking the inverse tangent (or arctan) of both sides, we get:

angle = arctan(2.515)

angle = 70.32 degrees (rounded to two decimal places)

Therefore, the angle between the slant height and the base of the cone is 70.32 degrees.

Answer:

PLS ANSWER MY QUESTION I NEED HELP PLS.

Step-by-step explanation:

help pls

Answer:

7w

Step-by-step explanation:

Answer:3.8

Step-by-step explanation:

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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idek what bread is how am I supposed to explain this I just want points

The statements that are listed above that are not propositions include the following:

A proposition statement is defined as the statement that is either a true statement or false statement but can not be both.

From the given statements,the statement that is a true proposition include the following:

The statement that is a false proposition include the following:

The statement will you be my valentine? is not a proposition but a declarative question that needs to be answered.

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Answer:

9c + 0.8d + 1

Step-by-step explanation:

- (- 9c - 0.8d - 1) ← multiply each term in the parenthesis by - 1

= 9c + 0.8d + 1

Answer:

16.

Step-by-step explanation:

2|–9| – |–2|

= 2 * 9 - 2

= 18 - 2

= 16.

Answer:

B

Step-by-step explanation:

Because i said it is

Answer:

The answer for A is (3,5) so plot that into the graph. Those are the coordinates for F

The answer for B is "F  and C are 5 units away from the x-axis

The answer for C is "The distance between F and C is 10 units"

Step-by-step explanation:

Answer:

The variability of a data set as measured by the number R=xmax−xmin. The variability of sample data as measured by the number √Σ(x−ˉx)2n−1. The variability of population data as measured by the number σ2=Σ(x−μ)2N.

Step-by-step explanation:

Answer:

the answer is 290

Step-by-step explanation:

A = 2(wl + hl + hw)

Answer:

Step-by-step explanation:

This is a pretty easy one. Use the equation SA=2lw+2lh+2hw and substitute in the length, width, and height. Substitute than solve and you get 290 in^2

Answer: 5/8

Step-by-step explanation: There are 8 members. Out of 8, there are 5 people's weight that are higher than 135. Therefore the answer is 5/8.

The cost per ounce of the premium walnut is $0. 23

To determine the value of the cost, we need to note that proportion is simply described as the comparison of numbers such  that they are made equal to another.

From the information given, we have that;

54 ounces of premium walnuts costs $12.95

This is represented as;

54 ounces = $12. 95

Then 1 = x

cross multiply the values, we get;

x = $12.95/54

Divide the values, we get;

x = $0. 23

Hence, the value is $0. 23 per premium walnut

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Answer:

True

Step-by-step explanation:

If the discriminant \(D=b^2-4ac < 0\), then there are two complex roots

If the discriminant \(D=b^2-4ac > 0\), then there are two real roots

If the discriminant \(D=b^2-4ac=0\), then there is only one real root

Answer:

p=2

Step-by-step explanation:

4p+2≤10

    -2   -2

4p≤8

divide by 4

p≤2

Answer:

p ≤ 2

Step-by-step explanation:

The value of x, in degrees, is given as follows:

A. 48.

Similar triangles are triangles that share these two features given as follows:

The similar triangles in this problem are listed as follows:

WUV and WUT.

In triangle UWV, the length of the side adjacent to the angle of 48º has a length of 13.5 cm.

In triangle WUT, the length of the side adjacent to the angle of x has a length of 13.5 cm.

Reminding the two features of similar triangles, namely congruent angle measures and proportional side lengths, the measure of angle x is given as follows:

x = 48º.

(as the equivalent side length is the same, hence the angle measure is also the same).

This means that option A is correct.

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The value of e based on the information and the diagram given will be C. 61 degrees.

In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles

It should be noted that since e is on a straight line with 119 degrees, (we know that straight lines are 180 degrees in total), so it’ll be 180 - 119 = 61.

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\(1.4 < \sqrt{2} < 1.5\hspace{5em}1.7 < \sqrt{3} < 1.8 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lllll} 1.7& < &\sqrt{3}& < &1.8\\\\ 1.7-\sqrt{2}& < &\sqrt{3}-\sqrt{2}& < &1.8-\sqrt{2}\\\\ 1.7-1.5& < &\sqrt{3}-\sqrt{2}& < &1.8-1.4\\\\ 0.2& < &\sqrt{3}-\sqrt{2}& < &0.4 \end{array}\)

we're subtracting the upper-bound of √2, so is the most we can subtract from 1.7, and we're subtracting the lower-bound of √2 from 1.8, that way the resultant is within range.

The coterminal angle is 190°, the reference angle is 10°, and it lies on the third quadrant.

For any angle A written in degrees, the family of coterminal angles is written as:

B = A + n*360°

Where n can be any integer number different than zero.

Here we want to find a angle coterminal to -890° on the range [0°, 360°]

Then we need to find n such that:

B = -890°+ n*360°

is on the desired range.

If we take n = 3 we will get:

B = -890°+ 3*360°

B = 190°

That is coterminal angle, which is on the third quadrant, and it is 10° more than a 180° angle, so the reference angle (to the nearest axes) is 10°.

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Answer:

-8*F, -7.9*F, -7.2*F, -3.5*F, -3*F, 0*F, 2*F, 18*F

Step-by-step explanation:

1. No. The number of hours are not proportional to her rate.

2. No, because area is squared it would not be proportional to the length of a side.

3. Yes, because he is adding the same anoint every week.

4. Yes, because he is adding the same amount of red for every increase in yellow.

Answer:

→No, number of hours Marian works is not proportional to the amount she earns.

→No, the side length of a square is not proportional to its area. Area is proportional to the square of the length.

→Yes, the number of weeks that have passed is proportional to the amount in his account.

→Yes, the number of ounces of yellow paint is proportional to the number of ounces of red paint.

The Slope Intercept Form is y = -11

What is Slope?

The slope or gradient of a line in mathematics is a quantity that specifies both the direction and the steepness of the line. The letter m is frequently used to represent slope; there is no obvious answer to why the letter m is chosen for slope.

Solution:

Given:

(x1 , y1) = (-5, -11) and

(x2, y2) = (3, -11)

Slope = y2 -y1 / x2 - x1 = -11+11 / 3+5

Slope = 0

Point Slope Form:

y - y1 = m (x - x1)

y + 11 = 0

Slope Inetrcept Form:

y = mx + b

y = 0 - 11

y = -11

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Answer:

5

Step-by-step explanation:

Count it up 1 on the bottom 4 on the sides

Give me Brainllest

Answer:

5

Step-by-step explanation:

It looks confusing, but if you really pay attention it is a triangular prism

Answer:

3we

Step-by-step explanation:

rffd