The average life of an automobile tire of a certain manufacturer follows a Normal distribution, with a mean of 32,000 miles and a standard deviation of 1,250.


Which z-score separates the lower 70% from the upper 30% of the tires?


0.30

0.52

0.70

0.85

The null hypothesis is [tex]H_0:\mu=3[/tex] and the alternative hypothesis is [tex]H_1:\mu > 3[/tex]

There are two hypothesis considered in a statistical test. They are:

Formulation of null and alternative hypothesis are considered as the first step of a statistical procedure. The whole procedure, then, continues on testing whether to accept or reject these hypotheses.

Null Hypothesis is the actual hypothesis which is tested. Alternative hypothesis, as its name suggests, is the hypothesis accepted when the null hypothesis is rejected in the test carried out.

Here the sociologist is carrying out the test on the mean number of cars, [tex]\mu[/tex].

So to check whether the families own more than 3 cars in average,

the null hypothesis will be ,[tex]\bold{H_0:\mu=3}[/tex]  

and the alternate hypothesis will be,  [tex]\bold{H_1:\mu > 3}[/tex]

So if the null hypothesis is rejected, then there is the possibility for only more than 3 cars in average.

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2 Sevens take that 2 and subtracts is by 7 like this 7 minus 2 which is five

The Domain of a relation is the set of all allowable inputs. It is all the x-values in the (x, y) points determined by the relation.

The Range of a relation is the set of the resulting outputs. It is all the y-values in the (x, y) points determined by the relation.

Now, the given relation is {(2, 1). (-4, 5), (1, 7), (2, -3), (-1,2)}

The Domain of the given relation will be

= {2, -4, 1, -1}

And the Range of the relation will be

= [1, 5, 7, -3, 2]

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Answer:

66.8 inches

Step-by-step explanation:

The mean height of 16 students is 67.0"

Total height of 16 students = 67 x 16 = 1,072"

When Danielle walks into the class an additional height of 63.6" is added to the total and the new total becomes 1072 + 63.6 = 1135.6"

Since there are now 17 students, mean = 1135.6/17 = 66.8"

The algebraic expression for the sum of (k) and (l) divided by the sum of (d) and (e) is: (k + I) / (d + e) =

To solve this problem, we have to state the equation using the information of the problem:

Algebraic Expression:

"the sum of (k) and (l) divided by the sum of (d) and (e)"

(k + I) / (d + e) =

We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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Answer:

[tex]\sf\frac{-4+6}{2}[/tex] = 1

Step-by-step explanation:

Let's solve the problem,

→ (-4 + 6)/2

→ 2/2 = 1

Hence, the solution is 1.

Step-by-step explanation:

To tell if something is longer than another object is to find the difference between the two objects.

If the difference is < 0, then the object is shorter

If the difference is = 0, then the objects are equal in length

If the difference is > 0, then the object is longer

[tex]6.5 * 10^{-9}[/tex] - [tex]4.75 * 10^{-9}[/tex] = [tex]1.75*10^{-9}[/tex]

The difference is > 0, so the wavelength is longer.

Answer:

0

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

1st option. -27. is the answer

Answer: -22.5

Step-by-step explanation:

-12.5+(-10)=

-12.5-10=

-22.5

For you and your sister to reach bottom at the same time, the large Ferris wheel has to take 7 revolutions and the small Ferris wheel has to take 10 revolutions.

Time taken by the large Ferris wheel to complete 1 revolution = 10 seconds.

Time taken by the small Ferris wheel to complete 1 revolution = 7 seconds.

For them to reach bottom at the same time, we need to calculate their least common multiple.

LCM of 10 and 7 will be :

LCM = 10 × 7 = 70 seconds.

Revolutions taken by large Ferris wheel will be = 70 / 10 = 7 revolutions.

Revolutions taken by small Ferris wheel will be 70 / 7 = 10 revolutions.

Therefore, for you and your sister to reach bottom at the same time, the large Ferris wheel has to take 7 revolutions and the small Ferris wheel has to take 10 revolutions.

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perimeter is just all sides added so the answer would be 37+54+48 = 139

Answer:

1st Q.

2nd Q.

The equation for the straight line given in standard form and slope intercept form are-

Straight lines can appear geometrically in five different cases in two dimensional space and are mathematically expressed in algebraic equation form. It is known as the general or standard form of a straight line.

Comparing the given equations with the general equation-

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The slope of the line = rise/run = 2/3.

To determine the slope of a line, we can find the ratio of the rise of the line to that of its run.

Therefore, slope (m) of a line = rise/run.

Rise = vertical distance across the line

Run = horizontal distance across the line

In the graph given, we have:

Rise is the blue line = 6 units

Run is the red line = 9 units

Slope of the line (m) = 6 units/9 units

Slope of the line (m) = 2/3

Therefore, In simplest form, the slope of the line = rise/run = 2/3.

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Answer:

3

Step-by-step explanation:

To find the average rate of change from two points: [a, b] we generally use the slope equation, which can be represented as: [tex]\frac{f(a)-f(b)}{a-b}[/tex]

So here let's first calculate f(3) and f(5)

[tex]f(3)=(3)^2-5(3)+14\\f(3)=8\\\\f(5)=(5)^2-5(5)+14\\f(5)=14[/tex]

Now let's plug these values into the equation: [tex]\frac{f(5)-f(3)}{5-3}[/tex]

To get the equation: [tex]\Longrightarrow \frac{14-8}{5-3}=\frac{6}{2}=3[/tex]

The value is 3. 24. Option C

Index form is defined as the power or exponent that is raised to a number or a variable.

From the information given, we have the expression to be represented as;

[tex](\frac{(1.8)^7}{1. 8^6} )^2[/tex]

Now, we have to expand the exponential value of the bracket, we have;

[tex]\frac{(1. 8)^7^*^2}{(1. 8)^6^*^2}[/tex]

expand the bracket

[tex]\frac{(1.8)^1^4}{(1.8)^1^2}[/tex]

Using the laws of laws of indices, take the inverse of the denominator

(1. 8)^14-12

(1. 8)²

3. 24

Thus, the value is 3. 24. Option C

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Answer:

3.24

Step-by-step explanation:

Answer:

Step-by-step explanation: ok so divide by 647

The airplane that cruises 1 kilometer in 1/12 of a minute has a speed of 12 km/min

The formula and procedure we will use to solve this problem is:

v = x/t

Where:

Information about the problem:

Applying the velocity formula, we get:

v = 1 km/ (1/12 min)

v = (1 km * 12) / 1 min

v = 12 km/ 1 min

v = 12 km/min

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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Answer: send a pic

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer: 192 in

Step-by-step explanation:

volume of the rectangular prism:

2x8x8= 128 in

volume of the rectangular pyramid:

1/3 ( 8 x 8 x (5-2))= 64 in

Total: 128 + 64 = 192 in

Answer:

20

Step-by-step explanation:

P, perimeter of triangle = a + b + c

We're given P = 140 and it is an isosceles triangle.

We can change P to be 2a + b since 2 sides are equal in an isosceles

So, 140 = 2a + b

One side is 3x longer than the other. The equal sides in the triangle can not be 3x longer than each other since it is equal.

And the isosceles sides are longer than the 1 base side.

So if a = our isosceles sides, and b is our base side, than a is 3x our base side which can be written as a = 3b

Now, 140 = 2(3b) + b, and we can now solve

140 = 6b + b => 140 = 7b

20 = b

Our base length is 20.

Answer:

Please mark my answer as the brainliest, it would mean a lot to me

There is no anser, 0 can't equal 8

Step-by-step explanation:

3x + 4 = 12 + 3x

3x = 8 + 3x

0 = 8

NO ANSWER

Using the definitions of the mean and of the standard deviation of a data-set, we have that:

When the measure of 84 is added to the data-set, we have that:

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(B) Bar graph method of displaying the data could be used to display the data produced from that question.

Therefore, (B) bar graph method of displaying the data could be used to display the data produced from that question.

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The correct answer is given below:

300 people were asked the following question: How many times have you accessed the internet this week?

- none

- once or twice

- three or four times

- more than four times

Which method of displaying the data could be used to display the data produced from that question?

(a) Time Plot

(b) Bar graph

(c) Stemplot

(d) Histogram

Answer:

Step-by-step explanation:

Total Cost = D

D= Price  + Price (0.0775)

D= Price (1 +(0.0775)) Factoring the price

D= Price (1.0775)

D= 1.0775 Price

Answer: The one that has a picture to itself

Step-by-step explanation:

Use desmos its a free online graphics calculator for graphs. etc

Answer:

x = 5

Step-by-step explanation:

Because an isosceles triangle's angles will always add up to 180, it's quite simple plugging in angle J into a formula to find our answer.

Before we begin, recall that the bottom two angles of an isosceles triangle are equal to the other. Thus:

Unknown angle (H) = 14x+1

So...

38 + 14x + 1 + 14 x + 1 = 180

40 + 28x = 180
-40             -40
28x = 180

28x/28 = 180/28

We get:
x = 5

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Note that:

Calculating For the Value Of X

(14x + 1)° + (14x +1)° +38° = 180°

14x + 1 + 14x + 1 + 38 = 180°

28x + 2 + 38 = 180°

28x + 40 = 180°

28x = 180 - 40

28x = 140

x =5

Therefore the value of x is 5