Lines a and b are perpendicular. The equation of line a is y = x + 3. What is the
equation of line b?
Equation of line b
y=
x

If the random variable x is normally distributed with a mean equal to 0.45 and a standard deviation equal to 0.40, then P(x ≥ .75) is 0.9227.

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

Given the problem above, we need to find what the z-score is when P(x ≥ .75).

The formula for calculating a z-score is given by:

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

Where:

Now,

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

\(Z=P(\text{x} \geq 0.75) = \huge \text(\dfrac{P(Z \geq (0.75 - 0.45)}{0.40}\huge \text)\)

\(Z= P\huge \text (\dfrac{Z \geq0.30}{0.40}\huge \text)\)

\(Z=P(Z \geq 0.75) = 1 - P(Z < 0.75)\)

\(Z=1 - 0.077337\)

\(Z\thickapprox 0.9227\)

Therefore, the z-score of P(x ≥ .75) is 0.9227.

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Step-by-step explanation:

4n = - 6

n = - 6/4

n = - 3/2

And that it

Answer:

n = 1.5

Step-by-step explanation:

So, you left off on where we subtracted 40 from both sides.

34 - 40 = -6

4n = -6

Now, divide both sides by 4 to ultimately isolate the variable:

4n/4 = -6/4

Therefore your answer is -1.5

Answer:A school bus provides a safe way of transportation for your child. Learn resources to talk to your child about school bus and bus stop safety.

Step-by-step explanation:

Answer:

Answer=bbbbbbbbbbbbbb

Answer:

21 Pokémon cards

Step-by-step explanation:

If Max had 120 Pokémon cards and gave 99 of them to Eve, we can find out how many cards Max has left by subtracting 99 from 120:

Therefore, after giving 99 cards to Eve, Max has 21 Pokémon cards left.

________________________________________________________

Answer:

Max have = 120 Pokémon cards

He gave = 99 to eve

How much does max have?

Ans =120-99

=21

The employer will charge $55 for 5 hours

The first step is to calculate the amount charged for an hour

22= 2

x= 1

cross multiply

2x= 22

x= 22/2

x= 11

The amount charged for 5 hours can be calculated as follows

11= 1

y= 5

cross multiply

y= 55

Hence $55 will be charged for 5 hours

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we have the following:

the inverse is:

therefore, the answer is:

The value of angle 1 given the value of angle 4 as 47° will be 133°

Parallel lines are two lines on a two-dimensional plane that, no matter how far they are extended, never collide. They always keep the same gap between them.

Parallel lines have the same slope, which means they have the same angle of inclination or steepness. In other words, they rise and fall at the same pace along their length.

The value will be:

= 180° - 47°

= 133°

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Answer:

1

Step-by-step explanation:

The number 1 stands for 1 thousand, and all the other numbers stand for a smaller value.

Answer:

a and c

Step-by-step explanation:

-0.33 = -0.3 because you round it to the tenths place

-0.33 = 1/6 because 1/6 would = -0.30

so hope this helps

just did it on khan

The equation is y = ₋20/x and when x = 3 then y = ₋ 6.6 .

Given x and y vary inversely.

The relationships between variables that are expressed as y = k/x, where x and y are two variables and k is a constant value, are known as inverse variation. According to this statement, if the value of one item rises, the value of the other quantity falls.

the value of x is  = 3, we need to find the value of y.

then when x = 5 and y = ₋4

If y varies inversely as x then:

x × y = k (for some constant c)

If (x,y) = (5,₋4) then:

5 × ₋4 = k

₋20 = k

Therefore, xy = ₋20

then, y = ₋20/x ; is the equation of y.

when x = 3, then:

y = ₋20/3 or y = 6.6

Hence we get the required equation of y and the value of when x = 3 as y=₋20/x and y = ₋20/3 or y = 6.6

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The point which represents the cost of 4 pints is:

                     (4,8)        

Step-by-step explanation:

We are given that:

A market sells strawberries for $2.00 per pint.

Then, cost of 4 pints= $ 4×2.00

                                = $8.00

The point on the x coordinate represents number of pints

and the point on the y coordinate represents the cost in dollars

Hence, the point which represents the cost of 4 pints is:

                     (4,8)        

Answer:

c on edg

Step-by-step explanation:

got it right :)

Answer:

b) 4

Step-by-step explanation:

4 times $0.05 = $0.20

4 times $0.30 = $1.20

then you add the both totals together

0.20 + 1.20= $1.40

We would apply the triangle inequality theorem which states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side. Looking at the given triangle, the length of the two given sides are 14 inches and 8 inches. The sum of the length of the two sides is

14 + 8 = 22

looking at the given options, they are lesser than 22. Thus, they can all form the remaining sde of the triangle.

Answer:

\(m\angle PUQ = 43\textdegree\)

Step-by-step explanation:

\(\angle PUQ\), \(\angle QUR\), \(\angle RUS\), and \(\angle RUT\) all form a straight line, so their measures add up to \(180 \textdegree\). Therefore, \(m\angle PUQ = 180 \textdegree - m\angle QUR - m\angle RUS - m\angle RUT\) \(=180\textdegree - 49\textdegree - 52\textdegree - 36 \textdegree = \bold 4 \bold3\bold\textdegree\). Hope this helps!

Math isn't my best subject, but I beleive its 43.

49+52+36=137

137-180= 43.

Sorry if it's correct, but I believe 43 is the answer.

Answer:

C, 4+x=15

Step-by-step explanation:

since you're trying to find x you need to isolate it, so use the other numbers you have, 19 and 4, subtract 4 from 19, (19-4) to get x=15.

Answer:

3a-b=14x-7ax

Step-by-step explanation:

Two equivalent expressions are shown in the equation :

a(7x + 3) = b + 14x

Let it assumed to form an equation in terms of a and b.

Opening brackets of both sides,

7ax+3a=b+14x

Taking constant terms to LHS and variables to RHS

3a-b=14x-7ax

Hence, the equation is "3a-b=14x-7ax".

Answer:

D

Step-by-step explanation:

3 | 1   5   - 8   6

   ↓   3    24   48

   ----------------------

    1   8   16    54 ← Remainder

Answer:

March 29th

Step-by-step explanation:

do an LCM of 6 and 8 so that u get the date when both schools have their chicken wrap serving day

dam i needed hel on this one

Answer:

26

Step-by-step explanation:

STEP

1

:

4

Simplify —

1

Equation at the end of step

1

:

(24 - 4) + 6

STEP

2

:

Final result :

26

Answer:

$34.89

Step-by-step explanation:

1,325.75 ÷ 38 = 34.89

Answer:

a. A two-sample z-test for a difference in sample proportions

Step-by-step explanation:

We are told that there are two supermarkets in the research named X and Y.

That a random number of shoppers were selected in each supermarket.

Thus means we have two different sample proportion.. Since a different number of people were randomly selected from each supermarket and a different number of people purchased the product.

Thus, we will have 2 sample proportions one for supermarket X and the other for supermarket Y.

In addition, the position of the product was different in both supermarkets.

Thus, we can say that this is a 2 sample Z-test for difference in their sample proportion.

The option that is most appropriate method for analyzing the results is that a two sample z test for a difference in population proportions.

A Two-Sample Z-test is known to be a kind of test that is often employed so as to make a comparison of the means of two samples to know and show if it is feasible that they are a product of the same population.

Conclusively, When a two sample z test is employed in the data given above, one can know and show the various difference that can be seen in population proportions.

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The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

Similar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.

Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:

the measure of angle Z is equal to 65°

the side EF corresponds to JK and side FG corresponds to KL, so:

8/20 = 11/x

x = (11 × 20)/8 {cross multiplication}

x = 27.5

the side EF corresponds to JK and EH corresponds to JM, so:

8/20 = y/30

y = (30 × 8)/20 {cross multiplication}

y = 12

Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

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Answer:

X + 10

Step-by-step explanation:

or n + 10

it shows 10 more than a number

ok so the obtuse angle is always across from the acute angle so the answer is b

In a triangle, the angle with the greatest measure is always opposite the longest side. Option D is correct.

Incomplete statement to be completed that In a triangle, the angle with the greatest measure is always opposite the _____.

The triangle is a geometric shape that comprises 3 sides and sum of interior angle should not greater than 180°.

Here, In a triangle angle opposite the largest side is the greatest angle among the other two angles.

Thus, In a triangle, the angle with the greatest measure is always opposite the longest side.

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6. Using Pythagoras Theorem the value of x = 99. 7, The value of x is 102.56. 8. The triangle is a right triangle. 9. The triangle is acute. 10. The triangle is acute. 11. The value of x is 32.28. 12. The value of x is 40.

The relationship between the sides of a right triangle is explained by the Pythagorean theorem, a fundamental mathematical theorem. The square of the hypotenuse's length, the longest side in a right triangle, is said to be equal to the sum of the squares of the lengths of the other two sides.

6. For a = 20, b = 99 using the Pythagoras Theorem we have:

x² = a² + b²

x² = 20² + 99²

x² = 9801

x = 99

7. For a = 60, b = 91 we have:

x² = 60² + 91²

x² = 10521

x ≈ 102.56

8. To determine whether the triangle is acute, obtuse, or right we check for using the Pythagoras Theorem.

a = 20, b = 21, and c = 29

Here,

20² + 21² = 841

29² = 841

Hence, the triangle is right.

9. For a = 15, b = 19, and c = 24. We have:

15² + 19² = 556

24² = 576

The triangle is acute.

10. For a = 11, b = 23, and c = 26. We have:

11² + 23² = 650

26² = 676

The triangle is acute.

11. Using the Pythagoras Theorem we have:

x² = 53² - 45²

x² = 1044

x ≈ 32.28

The value of x is 32.28

12. x² = 41² - 9²

x² = 1600

x = 40

The value of x is 40.

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Answer:

Step-by-step explanation:

Answer:1,400

Step-by-step explanation:

The shortest distance Estelle swam at practice is 200 meters if the Estelle swims for the Shorewood Sharks swim team

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

We have box plot data:

1,000    1,400    1,800    2,200    2,600    3,000

From the box plot:

The shortest distance Estelle swam at practice is given by:

= 1800—(1400+1800)/2

= 1800 – 1600

= 200 meter

Thus, the shortest distance Estelle swam at practice is 200 meters if the Estelle swims for the Shorewood Sharks swim team

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Step-by-step explanation:

Given equations :-

Substitute (2) in (1) :-

Answer:

Answer one= 6

Step-by-step explanation:

Problem #1

30 divided by 6 is 6

and 48 divided by 6 is 8

so she/ he  can only make 6 full ones