Needing help with problem 1..

Answer:

The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.

Step-by-step explanation:

When we have a sample, the mean of the sample is used as the point estimate for the mean of the entire population.

What value will be used as the point estimate for the mean endowment of all private colleges in the United States?

We have to find the mean of the 8 colleges. So

[tex]M = \frac{60.2 + 47.0 + 235.1 + 490.0 + 122.6 + 177.5 + 95.4 + 220.0}{8} = 180.975[/tex]

The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.

Answer:

[tex]Measure \: of \: angle \: z = \boxed{ \tt{ 19.5\degree}}[/tex]

Answer:

∠ABC = 63.26°

Step-by-step explanation:

cos ∠ABC = (9/2)/10

cos ∠ABC = 0.45

∠ABC = 63.26°

Answer:

Carlos born in 1944

Julio born in 1945

Ricky born in 1946

Step-by-step explanation:

x = Carlos age

x+1 = Julio age

x+2 = Ricky age

x + x+1 + x+2 = 129

3x + 3 = 129

3x = 126

x = 42 (Carlos age)

x+1 = 43 (Julio age)

x+2 = 44 (Ricky age)

1990 - 42 = 1944 (year Carlos born)

1990 - 43 = 1945 (year Julio born)

1990 - 44 = 1946 (year Ricky born)

Answer:

0.2287

Step-by-step explanation:

The computation of the probability that the automated manufacturing system runs for more than 18 hours without a failure is shown below:

P(X > 17) = 1 - P(X < 17)

= 1 - [1 - e^-18 ÷ 12.2]]

= 1 - [1 -0.228684984 ]

= 0.2287

Answer:

72 units^2

Step-by-step explanation:

Answer:

3(3×2x + 0)(3x²+2)² = 18x(3x²+2)²

Answer: 43 ft = 14.333333 yd/and/or/43 ft = 14 yd 1 ft

Step-by-step explanation:

To convert a foot measurement to a yard measurement, divide the length by the conversion ratio.Since one yard is equal to 3 feet, you can use this simple formula to convert:

yards = feet ÷ 3

The length in yards is equal to the feet divided by 3.

Answer:14.3333 yards equals 43 feet 1 foot is equivalent to .333 yards

Step-by-step explanation:

Answer:

24.5

Step-by-step explanation:

7^2=49

49/2=24.5

Answer:

x=2

Step-by-step explanation:

The true solution to the equation  3log2 + log 8 = 2 log(4x) is x=2, Option B is correct.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 3log2 + log 8 = 2 log(4x)

We have to calculate the value of x

We know that,  x logb=log bˣ

and loga + logb = logab

The equation is 3log2 + log 8 = 2 log(4x)

log 8+ log 8= log 16x²

log64/log 16=x²

4=x²

Take square root on both sides

x=2

Hence, the true solution to the equation  3log2 + log 8 = 2 log(4x) is x=2, Option B is correct.

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Answer:

If a gallon of gas costs $2.9

The Prius can drive 50 miles with one gallon.

then for m miles, it needs:

(m/50) gallons.

and each gallon costs $2.9

Then for driving m miles, the cost would be:

(m/50)*$2.9

Then the total cost of buying the Prius and driving for m miles is:

P(m) = $25,000 + (m/50)*$2.9

We can do a similar approach for the Accord's case.

The Accord can drive 31 miles with one gallon.

Then if it drives m miles, it will need:

(m/31) gallons.

And knowing that each gallon costs $2.9, the cost for driving m miles is:

(m/31)*$2.9

Then the total cost of buying an Accord and driving for m miles is:

A(m) = $22,000 + (m/31)*$2.9

We want to find the value of m, such that the cost of the Prius is smaller than the cost of the Accord.

Then the first thing we need to find is the value of m such that the costs are equal:

P(m) = A(m)

$25,000 + (m/50)*$2.9 = $22,000 + (m/31)*$2.9

$25,000 - $22,000 = (m/31)*$2.9 -  (m/50)*$2.9

$3,000 = m*$2.9*(1/31 - 1/50)

$3,000/($2.9*(1/31 - 1/50)) = m = 84,392

This means that if you drive more than 84,392 miles, then the cost of the Prius will be smaller.

I

Answer:

644 cm³

Step-by-step explanation:

Surface area of the composite figure = (surface area of the upper cuboid - base area of upper cuboid) + (surface area of the lower cuboid - base area of the upper cuboid)

✔️Surface area of upper cuboid = 2(LW + LH + WH)

L = 3

W = 3

H = 8

Surface area of upper cuboid = 2(3*3 + 3*8 + 3*8) = 2(9 + 24 + 24) = 114 cm²

✔️Surface area of Surface area of lower cuboid = 2(LW + LH + WH)

L = 12

W = 10

H = 7

Surface area of lower cuboid = 2(12*10 + 12*7 + 10*7) = 2(120 + 84 + 70) = 548 cm²

✔️Base area of upper cuboid = L*W

L = 3

W = 3

Base area = 3*3 = 9 cm²

✅Surface area of the composite figure = (114 - 9) + (548 - 9) = 105 + 539 = 644 cm³

6,900 times is the answer,also can i get brainliest

Answer:

24

Step-by-step explanation:

we'll use the pythagoras theorm, but change it a little

instead of a² + b² = c², we'll use c² - a² = b²

26² - 10² = 576

the square root of 576 is 24, and that's the answer :)

Answer:

22% or 22/100 which is 11/50

Step-by-step explanation:

Answer:

[tex]\dfrac{18(3\sqrt2-1)}{17}[/tex]

Step-by-step explanation:

The given expression is :

[tex]x=\dfrac{18}{3\sqrt2+1}[/tex]

We need to rationalize the denominator.

Multiplying and dividing both sides by [tex]3\sqrt2+1[/tex] as follows :

[tex]x=\dfrac{18}{3\sqrt2+1}\times \dfrac{3\sqrt2-1}{3\sqrt2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(3\sqrt2)^2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(18-1}\\\\=\dfrac{18(3\sqrt2-1)}{17}[/tex]

So, the answer is [tex]\dfrac{18(3\sqrt2-1)}{17}[/tex].

Answer:

a-b/c

or

0.6-0.2/.5

0.6-0.4

0.2

Answer:

The answer is 13.

Step-by-step explanation:

(b) Find the value of 2a + b: Remember that 2a means 2 × a. Replacing a by 4 and b by 7 gives 2×4 + 7.

Two possible values for 2a - b are 4i√2 and -4i√2, where 'i' is the imaginary unit.

To find the value of 2a - b, we need to eliminate 'b' from the two equations given.

Given equations:

1. 2a + b = 4

2. ab = -3

Let's solve for 'a' and 'b' using these equations.

Step 1: Solve for 'b' in terms of 'a' from equation (1).

2a + b = 4

b = 4 - 2a

Step 2: Substitute the value of 'b' from step 1 into equation (2).

a(4 - 2a) = -3

[tex]4a - 2a^2 = -3[/tex]

Step 3: Rearrange the equation to a quadratic form:

[tex]2a^2 - 4a + 3 = 0[/tex]

Step 4: Solve the quadratic equation for 'a'. You can use the quadratic formula:

a = [ -(-4) ± √([tex](-4)^2[/tex] - 4*2*3) ] / (2*2)

a = [ 4 ± √(16 - 24) ] / 4

a = [ 4 ± √(-8) ] / 4

a = [ 4 ± 2i√2 ] / 4

a = 1 ± i√2

Now we have two possible values for 'a': a = 1 + i√2 and a = 1 - i√2, where 'i' is the imaginary unit (√(-1)).

Step 5: Find the corresponding values of 'b' using the equation b = 4 - 2a.

For a = 1 + i√2:

b = 4 - 2(1 + i√2) = 4 - 2 - 2i√2 = 2 - 2i√2

For a = 1 - i√2:

b = 4 - 2(1 - i√2) = 4 - 2 + 2i√2 = 2 + 2i√2

Now we have two sets of values for 'a' and 'b':

1. a = 1 + i√2, b = 2 - 2i√2

2. a = 1 - i√2, b = 2 + 2i√2

Step 6: Calculate the value of 2a - b for each set of values:

For a = 1 + i√2, b = 2 - 2i√2:

2a - b = 2(1 + i√2) - (2 - 2i√2)

        = 2 + 2i√2 - 2 + 2i√2

        = 4i√2

For a = 1 - i√2, b = 2 + 2i√2:

2a - b = 2(1 - i√2) - (2 + 2i√2)

        = 2 - 2i√2 - 2 - 2i√2

        = -4i√2

So, the two possible values for 2a - b are 4i√2 and -4i√2, where 'i' is the imaginary unit.

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Complete Question:

If 2a + b = 4 and ab = -3, what is the value of 2a - b

Answer:

45/8 cubic cm

Step-by-step explanation:

The volume of a prism can be determined using the formula below.

Volume = length × width × height

Since each cube measures  of a centimeter on one side, then the dimensions of the prism are shown below.

Length = 5 x 1/2 cm

Width = 3 x 1/2 cm

Height = 3 x 1/2 cm

Answer:

5/3

Step-by-step explanation:

Answer:

234 books.

Step-by-step explanation:

You need to set up a proportion. Be careful to note what it looks like and the explanation that follows.

9 books            13 magazines

=======     =     ===========

x                        572 - x                Cross multiply

What you want is the number of book sales from the proportion.

However all you have is the ratio of books to magazines. So you have to set up the total sales to magazines, which is a bit awkward.  572 - x is the number of magazine sales.

9*(572 - x) = 13x                        Remove the  brackets on the left.

5148- 9x = 13x                           Add 9x to both sides.

5148 = 13x + 9x                         Transpose and add the right.

22x = 5148                                Divide by 22

x = 5148/22

x = 234                    

234 books were sold.

Answer:

180-138

=42, is the answer

Answer:

Step-by-step explanation:

The sales will double on the 6th day of the month

The equation sales for last month = 4(day of the month) + 16

let

x = day of the month

The day of the month could be 1, 2, 3, 4, 5, 6, 7, 8...…31. The numbers represents the first, second, third ,...… thirty first day.

Sales = 4x + 16

From the equation, on the first day his sales  will be :

sales = 4(1) + 16 = 20 units

The double of 20 units is 40 units. Therefore, the day of the month which the sales will double can be calculated below

40 = 4x + 16

40 - 16 = 4x

4x = 24

x = 24 / 4

x = 6

it will double on the 6th day.

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Answer:

-4/5

Step-by-step explanation:

x2y

(-3/4)(2)(8/15)

(-3/2)(8/15)

-4/5

Answer:

la verdad que depende de la situación