Surveys were sent to a random sample of owners of all-wheel-drive (AWD) vehicles and to a random sample of owners of front-wheel-drive (FWD) vehicles. The proportion of owners who were satisfied with their vehicles was recorded for each sample. The sample proportions were used to construct the 95 percent confidence interval for a difference in population proportions (FWD minus AWD) for satisfied owners. The interval is given as (−0.01,0.12). A car company believes that the proportion of satisfied owners of AWD vehicles differs from the proportion of satisfied owners of FWD vehicles. Does the confidence interval provide evidence that this belief is plausible?

Answer:

-3

Step-by-step explanation:

Input -3 for x.

2*-3 - 9

then simplify.

Answer: Distance = 4

Step-by-step explanation:

Concept:

Here, we need to know the concept of the distance formula.  

The distance formula is the formula, which is used to find the distance between any two points.  

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Find the distance from Layan's house to the store, where:

[tex]Distance = \sqrt{(x_2 - x_1)^2+(y_2-y_1)^2}[/tex]

[tex]Distance = \sqrt{(-1\frac{1}{3} - 2\frac{2}{3} )^2+(7\frac{1}{3} -7\frac{1}{3} )^2}[/tex]

[tex]Distance = \sqrt{(-4)^2+(0)^2}[/tex]

[tex]Distance = \sqrt{16+0}[/tex]

[tex]Distance = \sqrt{16}[/tex]

[tex]Distance = 4[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

A

Step-by-step explanation:

Did the test sorry I'm late

Answer:

42

Step-by-step explanation:

prime factorisation of 1764 = 2^2 × 3^2 × 7^2

hence,

√1764 = √(2^2 × 3^2 × 7^2) =2 x 3 x 7 = 42

Answer:

42

Step-by-step explanation:

1764 = 2 * 882

        = 2 * 2 * 441

        = 2 * 2 *  3 * 147

        = 2 * 2 * 3 * 3 * 49

        = 2 * 2 * 3 * 3 * 7 * 7

[tex]\sqrt{1764} = \sqrt{2*2*3*3*7*7} = 2*3*7 = 42[/tex]

Answer:

14.49 inches......I think this help you.....I am not dam sure this is right or not....

Answer:

x=8

Step-by-step explanation:

x^2+15^2=17^2, x=sqrt(64)=8

Let the perimeter be 100cm

Then value of x = 100/4

x = 25cm

Answered by Gauthmath must click thanks and mark brainliest

Given:

The equation is:

[tex]2540=\dfrac{22}{7}r^2(20)[/tex]

To find:

The solution for the given equation.

Solution:

We have,

[tex]2540=\dfrac{22}{7}r^2(20)[/tex]

It can be written as:

[tex]\dfrac{2540\times 7}{22\times 20}=r^2[/tex]

[tex]\dfrac{17780}{440}=r^2[/tex]

[tex]\dfrac{889}{22}=r^2[/tex]

Taking square root on both sides, we get

[tex]\sqrt{\dfrac{889}{22}}=r[/tex]               [Radius cannot be negative]

[tex]r=6.3568145[/tex]

[tex]r\approx 6.36[/tex]

Therefore, the value of r is about 6.36 cm.

Answer:

5 trees per day

Step-by-step explanation:

Answer:

5 trees per day

Step-by-step explanation:

(1, 5)

(2,10)

the day increases by 1 and the trees increase by 5

Answer:

11.3 feet

Step-by-step explanation:

let x= answer

x²+4²=12²

x²=128

x=11.3137085

which rounds to

11.3

Answer:

≈ 11.3 ft.

Step-by-step explanation:

In order to solve this, we must use some trigonometry, in this case, SOH-CAH-TOA. If you don't know what it is, here's a quick explanation:

- SOH: Sin(θ) = Opposite / Hypotenuse

- CAH: Cos(θ) = Adjacent / Hypotenuse

- TOA: Tan(θ) = Opposite / Adjacent

(Remember, SOH-CAH-TOA can ONLY be used for right triangles. If the problem does not clearly show a right triangle, meaning that there's no box in the corner, you cannot use it)

When using SOH-CAH-TOA, we first must choose an angle, either the top one or the bottom one. We can't use the right angle as, well, you just can't :). First, we have to find the bottom angle, so circle it. Literally, just circle the angle, you'll thank me later. I'll explain why we don't solve the top angle later on.

After that, we just do some labeling on the sides of the triangle. First, label the shortest side that forms the circled angle, which is the floor (4 ft), as the Adjacent side. Then label the longest side of the triangle, which is the ladder (12 ft), as the Hypotenuse. Finally, label the side that doesn't form the circled angle as the Opposite side. This is why the circling comes in handy :)

Then, out of SOH, CAH, and TOA, we choose the one that has the sides that forms the circled angle. In this case, it's CAH, or cosine, as the adjacent and hypotenuse form the circled angle.

Next, we write out the formula and solve:

Cos(m∠Circled Angle) = Adjacent/Hypotenuse

Cos(m∠Circled Angle) = 4/12

Cos(m∠Circled Angle) x Cos^-1 = 1/3 x Cos^-1

m∠Circled Angle ≈ 70.5288 (Rounding to the nearest ten-thousandth)

Note: Pay attention to the 3rd line. 'Cos^-1' is basically the equivalent of '÷ Cos'.

The reason why we did the bottom angle first is because you cannot have two unknown variables when solving for one of them. That would've been the case if we did choose the top angle as we wouldn't know the measure of the wall nor the angle. Now that we have solved the bottom angle, we can move onto solving the length of the wall.

Looking at SOH-CAH-TOA, we can either use sine or tangent as we have the measures for both the adjacent and hypotenuse. I'll use sine cause why not? Anyways, let's move on!

Just like last time, we write out the formula and solve:

Sin(m∠Circled Angle) = Opposite/Hypotenuse

Sin(70.5288) = Opposite/12

0.9428 = Opposite/12

0.9428 x 12 = Opposite/12 x 12

11.3137 ≈ Opposite (Wall)

Wall ≈ 11.3 ft. (Rounding to the nearest tenth, as asked to do so by the problem)

Note: Be careful with SOH-CAH-TOA because I've messed up multiple times with my calculator while typing out my explanation, so just make sure you go over it several times before submitting your answer when solving trig problems :). But I'm confident with my answer, so just submit it without hesitation as I've already double-checked my work.

Answer: 196πcm²

Given

Diameter = 14

Radius = d/2

= 14/2

= 7

Surface area = 4πr²

Take π = 22/7

= 4×22/7×7×7

= 616 cm²

Must click thanks and mark brainliest

[tex] \large\begin{gathered} {\underline{\boxed{ \rm {\purple{Formula \: \: Using \: = \: 4 \: \pi \: {r}^{2} }}}}}\end{gathered}[/tex]

[tex]\bf \ \implies \: \: r \: = \: \frac{Diameter}{2} \\ [/tex]

[tex]\bf \ \implies \: \: r \: = \: \frac{14}{2} \\ [/tex]

[tex]\bf \ \implies \: \: r \: = \: \cancel\frac{14}{2} \: \: \large ^{7} \: \\ [/tex]

[tex]\bf \ \implies \: \: r \: = \: 7 \: cm[/tex]

[tex]\bf \large \longrightarrow \: \: 4 \: \pi \: {r}^{2} [/tex]

[tex]\bf \large \longrightarrow \: \: 4 \: \times \: \pi \: \times {7} \: ^{2} [/tex]

[tex]\bf \large \longrightarrow \: \: 4 \: \times \: \pi \: \times 49[/tex]

[tex]\bf \large \longrightarrow \: \: 196 \: \pi \: {cm}^{2} [/tex]

Hence , the surface area of sphere is 196 π cm²

Answer:

a)sin153°=0.454

cos153°=   -0.891

tan153°=   -0.510

b)sin 204°=  -0.407

cos204°=    -0.914

tan204° =   0.445

c)sin320°=   -0.643

cos320° =  0.766

tan320°=  -0.839

Step-by-step explanation:

Answer:

156

Step-by-step explanation:

f(x)= 4^(2x) -100

Let x =2

f(2)= 4^(2*2) -100

   = 4^4 - 100

   = 256 -100

   = 156

Answer:

soln:

(5.5 × 107)

(3.2 × 10')

+ 2 × 105

_______________

8.8. ×.1011

Answer:

sorry I don't know.....

Answer:

Step-by-step explanation:

hope it will help you

Answer:

-842

Step-by-step explanation:

We should find the sum of -1451 and 1267 and the sum of 1146 and -2172.

-1451 + 1267 = 1267 - 1451 = -184

1146 + (-2172) = 1146 - 2172 = -1026

Then we subtract -184 from -1026.

-1026 - (-184) = -1026 + 184 = -842

Answer:

15 lessons for $80.

Step-by-step explanation:

Answer:

∠ T = 82°

Step-by-step explanation:

In a Isosceles trapezoid, any lower base angle is supplementary to any upper base angle , so

∠ T + ∠ P = 180°

∠ T + 98° = 180° ( subtract 98° from both sides )

∠ T = 82°

The triangle is missing and so i have attached it.

Answer:

x = 93°

Step-by-step explanation:

From the triangle attached, we can say that;

<SQP + <SQR = 180°

This is because sum of angles on a straight line equals 180°.

Secondly, we know that sum of angles in a triangle also equals 180°.

Thus;

<SQR + <QSR + <SRQ = 180

From the attached triangle, we see that;

<QSR = 35°

<SRQ = 58°

Thus;

<SQR + 35° + 58° = 180°

<SQR + 93° = 180°

<SQR = 180° - 93°

<SQR = 87°

From earlier on, we saw that;

<SQP + <SQR = 180°

Plugging in <SQR = 87°, we have;

<SQP + 87° = 180°

<SQP = 180° - 87°

<SQP = 93°

We are told in the question that <SQP is denoted by x.

Thus;

x = 93°

Answer:

The value of x is answer D: 93

Answer:

Step-by-step explanation:

Answer:

x = 2 ±sqrt( 97)

Step-by-step explanation:

log10(x^2 -4x+7) =2

Raise each side to the base 10

10 ^ log10(x^2 -4x+7) =10^2

x^2 -4x +7 = 100

Subtract 7 from each side

x^2 -4x+7-7 = 100-7

x^2 -4x = 93

Complete the square

-4/2 = -2  (-2)^2 = 4

Add 4 to each side

x^2 -4x+4 = 93+4

(x-2)^2 = 97

Take the square root of each side

sqrt((x-2)^2 )=±sqrt( 97)

x-2 = ±sqrt( 97)

Add 2 to each side

x = 2 ±sqrt( 97)

[tex] \frac{9}{41} [/tex]

Step-by-step explanation:

The ratio cosine tell us that

In other words,

[tex] \cos(x) = \frac{adj}{hyp} [/tex]

The side adjacent to angle a is 9. The hypotenuse is 41.

So

[tex] \cos(a) = \frac{9}{41} [/tex]

Answer:

5

Step-by-step explanation:

Answer:

∠ JFK = 57°

Step-by-step explanation:

∠ JFK and ∠ GFH are vertically opposite and congruent , then

∠ JFK = ∠ GFH = 57°

Answer:

7 sqrt(2) = c

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

7^2 + 7^2 = x^2

49+49 = c^2

98 = c^2

Taking the square root of each side

sqrt(98) = sqrt(c^2)

sqrt(49*2) = c

7 sqrt(2) = c

[tex]\huge\underline\blue{✏ANSWER}[/tex]

(no answer found.)

(maybe can found on other apps?)

#BrainliestBunch

Answer:

12

Step-by-step explanation:

1) Vector AB (-2-(-6); -1-(-1))= (4; 0). Vector module is module AB=sqrt (4*4+0*0)= 4

2) The module of Vector BC is sqrt((-1-(-2))*(-1 - (-2))+ (-4-(-1))* (-4-(-1))= sqrt (9+1)= sqrt 10.

3) The module of AC is sqrt ((-1-(-6))*(-1-(-6))+ (-4-(-1))*(-4-(-1))= sqrt (25+9)= sqrt 34.

4) Having the triangle with the sides AB, BC, AC use the theorem of cos:

sqrt34*sqrt34= sqrt 10*sqrt 10 + 4*4- 2*sqrt10*4*cosB

34-10-16= -8 sqrt 10*cosB

c0sB= (-1)/ sqrt10

5) Find out sinB that is equal to Sqrt (1- ((-1)/sqrt 10)* ((-1)/sqrt10))= sqrt (9/10)= 3/sqrt10.

6)S= 4*sqrt10*3/sqrt10= 4*3=12. The area is equal to 12.

To solve this divide 4565 by 3.

Step-by-step explanation:

pricr of 1 kg powder= 4465/3

=1521.66

Nice job on getting problem 1 correct.

=================================================

Problem 2

The double stem and leaf plot says we have the following data set for the men's side

Be careful to read the stem first, followed by the leaf (even though the leaf values are listed on the left side of the stem).

Notice how each row is a different stem (in this case, tens digit) to help make things more readable.

If we were to add up all of those values I listed above, then we should get the sum 2707. Divide this over n = 37 to get 2707/n = 2707/37 = 73.162 approximately. This rounds to 73 since your teacher wants you to round to the nearest whole point.

You'll do the same thing for the women's side. That data set is

Again, it's handy to break the scores up by stem or else you'll have a long string of scores to get lost in (or it's easier to get lost in).

Adding up those 37 scores should get you 2824 which then leads to a mean of 2824/n = 2824/37 = 76.324 approximately. This rounds to 76

=================================================

Problem 3

The range for the men is max - min = 98 - 53 = 45

The range for the women is max - min = 100 - 55 = 45

==================================================

Problem 4

It's strongly recommended to use a spreadsheet here. Let's focus on the men's data set.

The idea is to subtract each data value from the mean 73.162, and then square the result. So each term is of the form (x-mu)^2 where mu is the mean.

For example, the data value x = 53 on the men's side will lead to

(x-mu)^2 = (53 - 73.162)^2 = 406.506

We consider this a squared error value.

You'll do this with the remaining 36 other values in the men's data set.

After doing this, you'll add up the 37 items in this new column and you should get roughly 4711.027, and this is the sum of the squared errors (SSE).

Divide this over n = 37 and we get 4711.027/37 = 127.325

Lastly, apply the square root and we arrive at sqrt(127.325) = 11.284 which rounds to 11.28

The steps for the women's standard deviation will be the same. You should get 12.30

-------------

These are population standard deviation values. If you don't want to use a spreadsheet, a much better option is to use online calculators that specialize in population standard deviation.

1) The men's and women's team each played 37 games.

2) the mean score of men's and women's team is 73 and 76 approximately.

3) the range of men's and women's score is 45.

4)the standard deviation of men and women team 11 and 12 approximately.

Number of observations can be found by counting the observations.

Mean is the average of all observations. It is the sum product of observations divided by the number of observations.

The range of observations is the measure of spread. It is the highest value minus the lowest value.

The standard deviation is another measure of variability. It is the square root of variance, where variance is the sumproduct of observations minus the mean, divided by the number of observations.

The data set is given by:

Men's team

Women's team

1) Number of games each team played :

men's team = 37

women's team = 37

2)mean = [tex]\frac{sum \ of \ observations}{number \ of \ observations}[/tex]

men's team = [tex]\frac{2707}{37}[/tex] =  = 73.162

women's team = [tex]\frac{2824}{37}[/tex]  =  = 76.324

3)range =  highest observation - lowest observation

men's team = 98 - 53 = 45

women's team = 100 - 55 = 45

4)population standard deviation = [tex]\sqrt{ \frac{\sum (x-\bar x)^2}{n}}[/tex]

On using the formula :

men's team = [tex]\sqrt{\frac{4711.027}{37} } = \sqrt{127.325} = 11.284[/tex]

women's team = [tex]\sqrt{151.29}[/tex] = 12.3

Learn more about mean here

https://brainly.com/question/31101410

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