A diagram of a spaceship ozone shield is shown below. Find the volume of the figure. ​ Figure not drawn to scale. ​Use π= 7 /22 ​and round your answer to the nearest tenth.

This question is incomplete, the complete question is;

A Driver's Ed program is curious if the time of year has an impact on numer of car accidents in the U.S.

They assume that weather may have a significant impact on the ability of drivers to control their vehicles. They take a random sample of 150 car accidents and record the seasons each occurred in. They found that 27 occurred in the Spring, 39 in the Summer, 31 in the Fall, and 53 in the Winter. Can it be concluded at the 0.05 level of significance that car accidents are not equally distributed throughout the year

a) Yes, because the p-value = 0.0145

b) No, because the p-value = 0.0145

c) Yes, because the p-value = 0.0291

d) No, because the p-value = 0.0291

Answer:

p-value = 0.0145

Since p-value ( 0.0145 ) is less than Significance level ∝ ( 0.05 ),

We reject Null hypothesis.

Hence, There is sufficient evidence to conclude that car accidents are NOT equally distributed through out the year.

[ Option a) Yes, because the p-value = 0.0145 ] is the correct answer.

Step-by-step explanation:

Given the data in the question;

number of car accident = 150

Observed Frequencies O are;

Spring = 27

Summer = 39

Fall = 31

Winter = 53

Significance level ∝ = 0.05

Hypothesis

Null hypothesis            H₀ : The car accidents are equally distributed through out the year

Alternative hypothesis H₀ : The car accidents are NOT equally distributed through out the year

Now, Expected Frequency E will be;

Spring = 150/4 = 37.5

Summer = 150/4 = 37.5

Fall = 150/4 = 37.5

Winter = 150/4 = 37.5

Test Statistics;

\(X^2_{stat^\) = ∑[ ( O-E )² / E ]

so

\(X^2_{stat^\) = [ ( 27-37.5 )² / 37.5 ] + [ ( 39-37.5 )² / 37.5 ] + [ ( 31-37.5 )² / 37.5 ] + [ ( 53-37.5 )² / 37.5 ]

\(X^2_{stat^\) = 2.94 + 0.06 + 1.1267 + 6.4067

\(X^2_{stat^\) = 2.94 + 0.06 + 1.1267 + 6.4067

\(X^2_{stat^\) = 10.5334

Degree of Freedom DF = n-1 = 4 -1 = 3

Now,

p-value = P( \(X^2\) - \(X^2_{stat^\) ) = P( \(X^2\) - 10.5334 ) = 0.0145

p-value = 0.0145

Since p-value ( 0.0145 ) is less than Significance level ∝ ( 0.05 ),

We reject Null hypothesis.

Hence, There is sufficient evidence to conclude that car accidents are NOT equally distributed through out the year.

[ Option a) Yes, because the p-value = 0.0145 ] is the correct answer.

Answer:

\(\tt C) \:\tt f^{-1}(x)=\cfrac{x-6}{3}\)

Step-by-step explanation:

We're given,

\(\tt f(x) = 3x + 6\)

~

\(\tt y=3x+6\)

\(\tt x=3y+6\)

\(\tt x-6=3y\)

\(\tt y=\cfrac{x-6}{3}\)

\(\tt f^{-1}(x)=\cfrac{x-6}{3}\)

~

No. We cannot always use synthetic divison to divide polynomials.

Synthetic division can only be used to divide polynomials if the degree of the denominator is  equal to one.

Synthetic division is only used for a linear factor of the denominator.

When the degree of the denominator is greater than one, we can use long division.

So, we cannot always use synthetic division for dividing polynomials

Therefore, no. We cannot always use synthetic divison to divide polynomials.

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Answer:

\(x=-\frac{4}{5}\)

Step-by-step explanation:

\(6=\frac{3}{4}(10x+16)\\\mathrm{or,\ }6\times 4=3(10x+16)\\\\\mathrm{or,\ }24=30x+48\\\\\mathrm{or,\ }-24=30x\\\\\mathrm{\therefore}\ x=-\frac{4}{5}\)

Considering the given expression and the numerical values, it is found that it's value is False.

The expression used in this question is given as follows:

\((x - y) \times 2 > y\)

The values considered are x = 4 and y = 6, hence:

\((6 - 4) \times 2 > 6\)

\(4 > 6\)

Hence, it is a False expression, as 4 is less than 6.

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The  best measure of center for the data shown is the median, and its value is 17.

The median is the best measure of center for the given data set. To find the median, we arrange the numbers in ascending order:

10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24

Since the data set has an odd number of values, the median is the middle value, which in this case is 17.

Therefore, the best measure of center for the data shown is the median, and its value is 17.

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The proof is given as follows:

The transitive property argues that "if two quantities are equal to the third quantity, then we may claim that all the quantities are equal to one other".

The term transitive refers to a transfer. If there are three quantities a, b, and c, and if an is connected to b by some rule and b is related to c by the same method, then a and c are related to each other by the same rule; this property is known as the transitive property of equality.

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Answer:

To solve this problem, we will use the following steps:

Step 1: Let's assume that the larger number is x and the smaller number is y, we know that the difference between the two numbers is 9, so we can write the equation: x-y = 9

Step 2: We know that Four times the larger number plus one-half the smaller is 45, so we can write the equation: 4x + 0.5y = 45

Step 3: Now we have two equations with two unknowns, we can solve for one of the unknowns by isolating it in one of the equations.

x-y = 9

x = y+9

Step 4: Now we can substitute the value of x in the second equation

4(y+9) + 0.5y = 45

4y + 36 + 0.5y = 45

4.5y + 36 = 45

4.5y = 9

y=2

Step 5: We can substitute the value of y in one of the equation, to find the value of x

x-2 = 9

x = 11

Final Answer: The two numbers are 11 and 2.

Using correlation and it's value of coefficient , The answer is b. 0.50

A statistical method called regression links a dependent variable to one or more independent (explanatory) variables. A regression model can demonstrate whether changes in one or more of the explanatory variables are related to changes in the dependent variable.

A statistical measure called correlation shows how much two or more variables fluctuate in connection to one another.

we have 25% variance confidence.

\(r ^ {2} = 0.25\)

\(r=\sqrt {0.25}\)

\(r=0.50\)

The answer is b.0.50

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If a linear regression equation predicts more than 25% of the variance in the Y scores, then the correlation between X and Y must be greater than (c) r = 0.35.

Correlation (r) quantifies the strength and direction of the linear relationship between two variables. A correlation of 0.35 indicates a moderate positive linear association, suggesting that as X increases, Y tends to increase as well, and vice versa.

When the correlation surpasses this threshold, it implies that a substantial portion of the variability in Y can be explained by changes in X. However, it's important to interpret the correlation value within the context of the specific data and the field of study.

Other factors like sample size and potential outliers can also influence the significance of the correlation. In summary, a correlation greater than (c) 0.35 signifies a meaningful connection between X and Y, contributing to the prediction of Y scores using the linear regression equation.

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Answer:

i think its 13

Step-by-step explanation:

you are supposed to measure the lowest point of the liquid.

Answer:

1/14

Step-by-step explanation:

The ratio is 5:70. The fraction form of that is 5/70. To get the lowest terms, I divided both numbers by 5. So it is 1/14

The distance between the tree and the ground is represent with x

Using pythagoras theorem

The distance between the tree and the ground is 16.5 feet

In a right angle triangle (i.e a triangle that has one of its angle equal to 90 degrees)

There are three sides, namely; the hypotenus, the opposite and the adjacent

The hypotenus is the side opposite to the right angle, so to identify the hypotenus, locate the 90 degrees, the side facing that right angle is the hypotenus

The opposite side is dependent on the reference acute angle of the other two acute angles while the third side is the adjacent. So with a given reference angle in the triangle, the opposite is the side facing that reference angle.

Pythagoras state that

In the question hyp = 17 (side facing the 90 degrees), opp = x, adj = 4

Answer:

The proposed rule correctly works.

Step-by-step explanation:

As the original triangle has the vertices with the coordinates

From the given diagram, the image of the triangle has the vertices

A'(10, 4)

B'(5, 4)

C'(5, 0)

According to the proposed rule, the image should have the following vertices.

(x,y) ➝ (y+4, -x-2)

A(-6, 6) ➝ (6+4, -(-6)-2) = A'(10, 4)

B(-6, 1) ➝ (1+4, -(-6)-2) = B'(5, 4)

C(-2, 1) ➝ (1+4, -(-2)-2) = C'(5, 0)

So, the coordinates of the image of the triangle are correctly drawn as per the proposed rule.

Therefore, the proposed rule correctly works.

Answer:

y = -3x + 1

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the slope will be -3.

Plug in the slope and given point into y = mx + b

y = mx + b

-5 = -3(2) + b

-5 = -6 + b

1 = b

Then, plug in the slope and y intercept into y = mx + b again:

y = -3x + 1 will be the equation of the line

Answer:

The correct answer is a.

Step-by-step explanation:

The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.

The surface area of the given shape is 285.01 ft²

From the question, we are to calculate the surface area of the given shape.

The given shape in the diagram is a cone.

The surface area of a cone is given by the formula,

\(S = \pi r(r+l)\)

Where S is the surface area

r is the radius

and \(l\) is the slant height

First, we will calculate the slant height of the cone

\(l^{2}=9^{2} +5.6^{2}\) (Pythagorean theorem)

\(l^{2}=81+31.36\)

\(l^{2}=112.36\)

\(l}=\sqrt{112.36}\)

\(l=10.6 \ ft\)

∴ The slant height is 10.6 ft

Now, for the surface area

\(S = \pi \times 5.6(5.6+10.6)\)
\(S = \pi \times 5.6(16.2)\)

\(S = 90.72\pi \ ft^{2}\)

\(S = 285.0053 \ ft^{2}\)

S ≅ 285.01 ft²

Hence, the surface area of the given shape is 285.01 ft²

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There are 29% of the Planes are Green.

The percentage is defined as a ratio expressed as a fraction of 100.

Total number of green planes = 250

The total number of green vehicles = 870

The percent of green planes = (number of green planes/number of total green vehicles) x 100

The percent of green planes = (250/870) x 100

The percent of green planes = 0.2873 x 100

The percent of green planes = 28.73

Round to the nearest percent, and we get

The percent of green planes = 29%

Thus, 29% of Planes are Green.

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Answer:

2

Step-by-step explanation:

The equation has 2 terms in it which means 2 is the answer.

Answer:

Step-by-step explanation:

I do not know bro. If I was a robot i'd know. I don't. I'm different.

Answer: 18.78 cubic feet

Step-by-step explanation:

The detailed analysis is attached below.

Answer:

  61.03°

Step-by-step explanation:

You want the angle opposite the side of length 7 in the triangle with other sides of lengths 4 and 8.

The law of cosines relates the angles of a triangle to the side lengths. For triangle ABC with opposite sides a, b, c, the relation is ...

  c² = a² +b² -2ab·cos(C)

Solving for angle C, we have ...

  cos(C) = (a² +b² -c²)/(2ab)

  C = arccos((a² +b² -c²)/(2ab))

In this triangle, that means ...

  C = arccos((4² +8² -7²)/(2·4·8)) = arccos(31/64)

  C ≈ 61.03°

The angle of interest is about 61.03°.

__

Additional comment

We get the same result from a triangle solver. See the second attachment. (The angle we want is angle B in that attachment.)

<95141404393>

The result of the unknown variable x is equivalent to 7

Linear equations are equation that has a leading degree of 1. Given the expression below:

5(3x − 15) + 16 = 5x + 11

Expand the expression

5(3x) - 5(15) + 16 = 5x + 11

15x - 75 + 16 = 5x + 11

15x - 5x - 59 - 11 = 0

10x - 70 = 0

10x = 70

Divide both sides by 10

10x/10 = 70/10

x = 7

Hence the value of x makes the equation true is 7

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Answer:

yes.…......................)

Answer:

4 > x > -7

Step-by-step explanation:

4 > x > -7

Because we usually put lower numbers to the left on a number line

the convention is to present this as

-7 < x < 4

Answer:

4 < x > - 7

Step-by-step explanation:

4 < x

x < - 7

4 < x > - 7

Answer:

0.125 gallon

Step-by-step explanation:

Answer:

The answer is 0.125.

Step-by-step explanation:

Nobody wants an explanation. Get to the point.

Answer:

A

Step-by-step explanation:

For a right triangle

\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)

This is the same as the other triangle because they are the same size because of congruency

Area of the rectangle

\(a^2+b^2=c^2\\\)

\(\sqrt{(10.4^2+15.3^2} =c\)

\(c= 18.5\)

18.5 x 7 = 129.5

Add them all up

129.5+79.56+79.56= 288.62

Answer:

Step-by-step explanation:

D

Answer:

11/18

Step-by-step explanation:

4/9 + 1/6

Get a common denominator of 18

4/9 * 2/2 = 8/18

1/6 * 3/3 = 3/18

8/18+3/18

11/18

Answer:

11/18

4/9 + 1/6

Get a common denominator of 18

4/9 * 2/2 = 8/18

1/6 * 3/3 = 3/18

8/18+3/18

11/18

ez

Step-by-step explanation:

Answer:

Put it as something which y=zx where z would be z>45

Step-by-step explanation: