what percent of americans are between 60 and 70 inches tall if the mean height is 66 inches and the standard deviation is 4 inches?

Answer:

Step-by-step explanation:

6x-y=1

-y=-6x+1

y=6x-1

4x-3y=-11

Answer: C

i hope this helps

Answer:

I think it is the 5th one if im wrong i am sorry

Step-by-step explanation:

Answer:

E.

Step-by-step explanation:

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them. So the monthly charge for Danielle's cable bill is $5.

Danielle pays a monthly charge of $69 for her cable bill.

She also pays a fee every time she watches a movie on demand.

Last month Danielle watched 7 movies on demand, and her total monthly bill was $104.

We have to find the monthly charge for Danielle's cable bill to choose.

Remove the monthly fee of 69 dollars for cable service from the total of 104 dollars, then check the statement to see that there is still a mystifying 35 dollars on it.

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them, giving you the result of $5 per on-demand movie.

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Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

A number's  root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as  or as 3 x 3.

Here,

If an equation have 2 roots , it means it is a quadratic function

If D=0, a quadratic function has two roots that are equal.

D (discriminant) = 0

=>b24ac=0 is required for a polynomial function to have equal roots.

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

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The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.

Answer:

13,920 units²

Step-by-step explanation:

Bottom = 120 x 30 = 3600

2 long sides = 2(20 x 120) = 4800

2 short sides = 2(20 x 30) = 1200

2 top sides = 2(17 x 120) = 4080

2 triangular sides = 2(1/2 x 30 x 8) = 240

Total surface area = 3600 + 4800 + 1200 + 4080 + 240 = 13,920 units²

Answer:

assosative of multiplcation

Step-by-step explanation:

Answer:

its commutative property

Step-by-step explanation:

Answer:

y=68

Step-by-step explanation:

isolate the variable by adding 14 to both sides

54+14=y+14-14

68=y

Answer:

7 cm and 49 cm²

Step-by-step explanation:

(a)

A square has 4 equal sides , then

28 cm ÷ 4 = 7 cm

The length of each side of the square is 7 cm

(b)

The area (A) of a square is

A = s² ( s is the side length ) , then

A = 7² = 49 cm²

Answer:

Step-by-step explanation:

Perimeter of square will be equal to the length of the  string

Perimeter of square = 28 cm

4*side = 28

Divide both sides by 4

Side = 28/4

Side = 7 cm

b) Area of square = side * side

                             = 7 * 7

                             =49 cm²

6. False. The present value (PV) is the initial investment or the amount invested in the stock, which is $7,500, not the amount received today ($8,050).

7. $1,200 represents the variable PMT (Payment). It represents the total dividends received over the four-year period.

8. The future value (FV) amount is $8,050, which is the amount received from selling the stock today.

9. It is not necessary to clear the TVM (Time Value of Money) registers when the calculations are completed, and you don't need to perform any further calculations.

10. True. When the "periods per year" register is set to 1, the periodic rate (interest rate) should be entered directly into the i-register as a decimal value, such as 0.05 for 5%.

Therefore, the PV is not $8,050 but $7,500, representing the initial investment. The variable $1,200 represents the PMT (payment) or the total dividends received. The FV amount is $8,050, the selling price of the stock. Clearing the TVM registers is not necessary after completing calculations, and when "periods per year" is set to 1, the periodic rate is entered directly into the i-register.

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Answer:

linear

y = 2.75x

Step-by-step explanation:

Price: $2.75/lb

Let y = cost.

Let x = number of pounds.

equation:

y = 2.75x

Linear equation

This is a direct proportion, so it is a linear equation.

For equal changes in x, you get equal changes in y.

9514 1404 393

Answer:

  4(3x +8)

Step-by-step explanation:

You are being asked to factor 4 from each of the terms of the expression and use the distributive property to show the result.

  12x +32

  = 4(3x) +4(8)

  = 4(3x +8)

The numbers that go in the boxes, left to right, are ...

  4, 3, 8

c) both statements together are sufficient, but neither statement alone is sufficient.

According to the question

The query asks if statements (1) and (2) by themselves are sufficient to determine whether x is an even number. The answer is that neither assertion by itself is adequate to ascertain what x is worth. However, when both claims are taken into account, they are adequate to decide whether or not x is an even number. This is due to the fact that if xyz is even and yz is odd, x must be even. If x were odd, both xy xz and y xz would be strange as well. Due to this, the proper response is "c) neither statement is adequate when read alone, but both assertions taken together are sufficient."

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Step-by-step explanation:

\(5y = 4y + 3 \\ y = 3 \\ p = 4 \times a = 4 \times 3 = 12\)

Answer:

5609/7 = 801.3 (rounded)

Step-by-step explanation:

Answer:801.2857143

Step-by-step explanation: Remember to enter it in your calculator, if you get a fraction as an answer click shift and then = there you go

Answer:

A) $12.80 per pound of chocolate

Step-by-step explanation:

As, 2 1/2 pounds = 5/2 = 2.5

So for 2.5 pounds = $32

For 1 pound = 32/2.5 = 12.80

So, = 12.80

1. The metric unit to measure the radius of a tennis ball would be centimeters (cm).

4. The metric unit to measure the mass of a beach ball would be kilograms (kg).

2. The metric unit to measure the length of a notebook would be centimeters (cm).

3. The metric unit to measure the mass of a textbook would be kilograms (kg).

5. The metric unit to measure liquid in a cup would be milliliters (mL).

6. The metric unit to measure water in a bathtub would be liters (L).

7. 120 in. : ? ft = 10 ft

10. 210 mm =  cm = 21 cm

13. 90 in. =  yd = 2.5 yd

16. 0.62 km = m = 620 m

8. 18 ft =  yd = 6 yd

11. 180 mm =  m = 0.18 m

14. 5280 yd = mi = 3 mi

17. 370 mL =  L = 0.37 L

19. 32 fl oz = c = 7.57 c

22. 48 c =  gal = 12 gal

25. 13 lb =  oz = 208 oz

20. 5 qt =  c = 20 c

23. 4 gal =  qt = 16 qt

26. 130 g =  kg = 0.13 kg

9. 10 km =  m = 10,000 m

12. 3100 m =  km = 3.1 km

15. 8 yd =  ft = 24 ft

18. 12 L = mL = 12,000 mL

21. 10 pt =  qt = 0.625 qt

24. 36 mg =  g = 0.036 g

27. 9.05 kg =  g = 9,050 g

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State which metric unit you would probably use to measure each item.

1. radius of a tennis ball

4. mass of a beach ball

2. length of a notebook

3. mass of a textbook

5. liquid in a cup

6. water in a bathtub

Complete each sentence.

7. 120 in. : ? ft =

10. 210 mm =. ? cm

13. 90 in. =?yd

16. 0.62 km = ? m

8. 18 ft = ? yd

11. 180 mm = ? m

14. 5280 yd = ? mi

17. 370 mL = ? L

19. 32 fl oz = ? c ==

22. 48 c=? gal

25. 13 lb = ? oz

20. 5 qt = ? c

23. 4 gal?qt

26. 130 g = ? kg

9. 10 km ? m =

12. 3100 m = ? km

15. 8 yd? ft

18. 12 L= ? mL

21. 10 pt=?qt

24. 36 mg = ? g

27. 9.05 kg = ?_g

Answer:

$6.50 per hour

Step-by-step explanation:

6 pm-1:30pm=4.5 hrs

29.25/4.5=6.5

$6.50 per hour

Answer:

x<-9 oops so that would be A :)

Step-by-step explanation:

You're welcome. :)

The average spending difference between the upper and lower spending cut-offs which define the middle 90% of the customers is $1.94.

Average spending at Neco's salad bar is $9.41

Standard deviation of the spending is $2.81

Distribution follows t-distribution,

The management is interested in the middle 90% of the customers (spending wise)Sample contains 41 customers

In order to find the cut-off values, we need to find the z-values for 5% and 95% of the data set.

Lower cut-off = Average spending - z × (Standard deviation / √n)

Upper cut-off = Average spending + z × (Standard deviation / √n)

Here,

n = 41,

Average spending = $9.41,

Standard deviation = $2.81

Let's find the value of z from the t-distribution.

t-distribution is a symmetric distribution.

Since we need to find the middle 90%, we need to find the area outside of 5% (on both sides of the distribution).

For a 90% confidence interval, the area outside of 5% on both sides of the t-distribution is \(\frac{0.05}{2}\) = 0.025.

As per the t-distribution table, for 40 degrees of freedom, the t-value for 0.025 is 2.021..

Lower cut-off = $9.41 - 2.021 × ()

Lower cut-off = $8.44

Upper cut-off = $9.41 + 2.021 × ($2.81/√41)

Upper cut-off = $10.38

Therefore, the difference between the upper and lower spending cut-offs which define the middle 90% of the customers is

$10.38 - $8.44 = $1.94.

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Answer:

Step-by-step explanation:

Given angle 1 = 140°, you want the measures of the other numbered angles where a transversal crosses parallel lines.

Where a transversal crosses parallel lines, corresponding angles are congruent.

Wherever lines cross. vertical angles are congruent, and linear pairs are supplementary.

These reasons together tell you all the obtuse angles are congruent, and all the acute angles are congruent. The obtuse and acute angles are supplementary.

  ∠1 = ∠4 = ∠5 = ∠8 = 140° . . . . . . given

  ∠2 = ∠3 = ∠6 = ∠7 = 40° . . . . . . done for you

__

Additional comment

The angles are also named according to where pairs of angles are found.

Various theorems describe the congruent/supplementary status of pairs of angles using these names:

In general, the converses of these theorems are also true. If corresponding angles are congruent, then the lines are parallel.

According to the given statement the tan(3π/2) does not have a value. To find the value of tan(3π/2) without using a calculator, we can use the properties of trigonometric functions.

The tangent function is defined as the ratio of the sine of an angle to the cosine of the same angle.

In the given case, 3π/2 represents an angle of 270 degrees.

At this angle, the cosine value is 0 and the sine value is -1.

So, we have tan(3π/2) = sin(3π/2) / cos(3π/2) = -1 / 0.

Since the denominator is 0, the tangent function is undefined at this angle.

Therefore, tan(3π/2) does not have a value.

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The value of tan(3π/2) without using a calculator is positive. The value of tan(3π/2) can be found without using a calculator.

To understand this, let's break down the problem.

The angle 3π/2 is in the second quadrant of the unit circle. In this quadrant, the x-coordinate is negative, and the y-coordinate is positive.

We know that tan(theta) is equal to the ratio of the y-coordinate to the x-coordinate. Since the y-coordinate is positive and the x-coordinate is negative in the second quadrant, the tangent value will be positive.

Therefore, tan(3π/2) is positive.

In conclusion, the value of tan(3π/2) without using a calculator is positive.

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The probability of both events occurring is P(A ∩ B) = P(A)P(B) = 0.16^2 = 0.0256.

The event of getting a "2" and the event of getting a "5" on the first roll of a die are mutually exclusive events because they cannot both occur in the same trial. The probability of either of these events occurring is P(A) = 0.16, and the probability of both events occurring at the same time is P(A ∩ B) = 0.00.

The event of getting a "2" on the first roll and the event of getting a "5" on the second roll of a die are independent events. This can be confirmed using the formula P(A ∩ B) = P(A)P(B). The probability of getting a "2" on the first roll is P(A) = 0.16 and the probability of getting a "5" on the second roll is P(B) = 0.16. Thus, the probability of both events occurring is P(A ∩ B) = P(A)P(B) = 0.16^2 = 0.0256.

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Answer:

The height is 20 cm.

Step-by-step explanation:

First, we have to know that the volume formula is V = πr²h and the base area of cylinder is a circle. So we can let πr² be 77 cm² . Then we have to substitute the following values into the formula :

\(v = 1.54 \: l\)

\(v = 1540 \: {cm}^{3} \)

\(v = \pi \times {r}^{2} \times h\)

Let πr² be 77,

Let v be 1540,

\(1540 = 77 \times h\)

\(77h = 1540\)

\(h = 1540 \div 77\)

\(h = 20 \: cm\)

The probability that students will participate in two team sports is 0.167.

According to the statement

we have to find that the probability that the student will choose to participate in two team sports.

So, For this purpose,

Probability is a the chance that a given event will occur.

So, the given information is :

There are four track events, two academic events, and six team sports events.

It means total number of events is 12 events.

and the probability is

probability that students will participate in two team sports = 2/12

probability that students will participate in two team sports = 1/6

probability that students will participate in two team sports = 0.167.

So, The probability that students will participate in two team sports is 0.167.

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Answer:

I think it is y=-3

Step-by-step explanation:

Answer:

y=-3

Step-by-step explanation:

The rule of the function is y = 4x - 1 and the output of the function is 11

From the question, we have the following parameters that can be used in our computation:

y = 4x - 1

This means that the rule is y = 4x - 1

The output of the function when the input is 3 is then calculated as

y = 4 x 3 - 1

Evaluate the products

y = 12 - 1

So, we have

y = 11

Hence, the output is 11

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Answer:

smallest=20, middle=40, largest=120

Step-by-step explanation:

x+2x+6x=180

9x=180

x=20