The data represents the number of ounces of water that 26 students drink before donating blood: 8, 8, 8, 16, 16, 16, 32, 32, 32, 32, 32, 32, 64, 64 64,64, 64,64,64,80,80,80,88,88,88. Create a dot plot for the data.

Answer:

Step-by-step explanation:

Let the unknown number be x;

for Four less than three times a number, it is expressed as (3x-4)

If the number gotten is increased by six times the same number, the equation becomes 3x-4+6x

If they are all equal to 32 then;

3x-4+6x = 32

We are to look for the value of x from the expression;

3x-4+6x = 32

-4+9x = 32

add 4 to both sides

-4+9x+4 = 32+4

+9x = 36

x = 36/9

x = 4

Hence the answer to the unknown number is 4

Answer:

6(8.5)/15

Step-by-step explanation:

Answer:

T = 6L/15 = 6(8.5)/15 = 51/15= 3.4 lessons per week

Answer:

A. $147.67

B. $26,581.49

C.  Principal: 65.8352%

C.  Interest: 34.1647%

The values:

a) PMT = $147.67.

b) $26580.6

c) Of the total amount paid, 65.84 percentage is paid toward the principal and 34.16 percentage is paid for the interest.

The formula:

PV = PMT/i[1 - {1/(1+i)ⁿ]

PV denotes the loan sum.

PMT stands for "monthly payment," I for "interest rate" (interest rate % divided by 12), and "n" for the number of months (term of the loan in months)

Given:

Consider a student loan of $17,500 at a fixed APR of 6% for 15 years.

PV is the loan amount = 17500

PMT is the monthly payment .

i is the interest rate per month in decimal form (interest rate percentage divided by 12)

i = 0.06/12 = 0.005

n is the number of months (term of the loan in months)

n = 180 months.

The monthly payment,

PMT = PV i(1+i)ⁿ/{(1+i)ⁿ-1}

PMT = 17500(0.005)(1.005)⁴⁸/{(1.005)⁴⁸-1}

PMT = $147.67.

The total amount paid over the term of the loan,

= 147.67 x 180 = $26580.6

Of the total amount paid, 65.84 percentage is paid toward the principal and 34.16 percentage is paid for the interest.

Therefore, all the required values are given above.

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I believe the answer is C! Because..

Answer:

c. The square root of 12 is between 4 & 5.

Step-by-step explanation:

a. The square root of 112 is between 10 & 11

i. Find the squares of 10 & 11

10² = 100

11² = 121

Because 100 < 112 < 121, we know the square root of 112 is between 10 & 11

b. The square root of 180 is between 13 & 14

i. Find the squares of 13 & 14

13² = 169

14² = 196

Because 169 < 180 < 196, we know that the square root of 180 is between 13 & 14

c. The square root of 12 is between 4 & 5.

i. Find the squares of 4 & 5

4² = 16

5² = 25

Because 12 < 16 & 25, we know that the square root of 12 is not between 4 & 5.

d. The square root of 5 is between 2 & 3.

i. Find the squares of 2 & 3

2² = 4

3² = 9

Because 4 < 5 < 9, we know that the square root of 5 is between 2 & 3.

Answer:

30/95

Step-by-step explanation:

because 95 cant be split

Hey there!

[tex]Answer:\boxed{\frac{6}{19}}[/tex]

[tex]Explanation:[/tex]

[tex]\frac{30}{95}[/tex] in simplest form

95 / 30 = 3.16666666667 Divide

3.16666666667 = 19/6 Convert to a fraction

6/19 Flip up the fraction

6/19 is the final answer.

Hope this helps!

Answer:

Let x represent: the price per lime.

Let y represent: the price per avocado.

System: 6*x + 2*y = $7.50

               2*x + y =$3.00

Solution: x = $0.75     y = $1.50

Step-by-step explanation:

Here we have two variables, x and y.

Let's take x =  price per lime, and y = price per avocado.

We know that when he bought 6 limes and 2 avocados he paid $7.50, so we can write this as:

6*x + 2*y = $7.50

And we also know that when he bought 2 limes and 1 avocado, he paid $3.00

2*x + 1*y = $3.00

Then we have a system of equations:

6*x + 2*y = $7.50

2*x + y =$3.00

Now we want to solve this system,

The first step is isolating one of the variables in one of the equations, let's isolate y in the second equation:

y = $3.00 - 2*x

Now we can replace this into the other equation:

6*x + 2*($3.00 - 2*x) = $7.50

6*x + $6.00 - 4*x = $7.50

$6.00 +  2*x = $7.50

2*x = $7.50 - $6.00 = $1.50

x = $1.50/2 = $0.75

now we can find the value of y.

y  = $3.00 - 2*x = $3.00 - 2*$0.75 = $1.50

Answer:

x = -1.8

Step-by-step explanation:

-9x = 16.2

Divide each side by -9

-9x/-9 = 16.2/-9

x = -1.8

Answer:

44

Step-by-step explanation:

3 x 12 = 36 + 8 = 44

Answer:

$1900

Step-by-step explanation:

Starting from the equation of simple interest, which is defined as follows:

I = P * r * t

Being I the interest, P the value of the product, r the interest rate and t would be time.

We want to know the price of the product, therefore, solving the equation we have:

P = I / r * t

We know each other's values so we replace:

P = 1026 / (0.135 * 4)

P = $ 1900 was the value of the refrigerator Jaime bought

Answer:

$1900

Step-by-step explanation:

Starting from the equation of simple interest, which is defined as follows:

I = P * r * t

Since I is the interest, P the value product, r the interest rate and t would be time

We want to know the price of the product, therefore, solving the equation we have:

P = I / r * t

We know each other's values so we replace:

P = 1026 / (0.135 * 4)

P = $1900 was the value of the refrigerator Jaime bought.

Answer:

[tex]3[/tex]

Step-by-step explanation:

[tex]\sqrt{12} =3.46[/tex] (2 decimal places)

If you want to arrange the tiles into a square, you will need 3.46 in each row/column.

This is physically impossible, hence you round it down to 3.

(If you round it up, you won't have enough tiles since [tex]4*4=16[/tex])

Thus, the square area will be [tex]3*3=9[/tex]

Tiles left: [tex]12-9=3[/tex]

Answer:

Z = -1.333

P-value  = 0.09176

Decision Rule: Reject [tex]H_o[/tex] if ∝  is greater than the P-value

Conclusion: Since P-value is >  the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.

Step-by-step explanation:

Given that:

The sample size of the poll = 1068

The proportion of voters that preferred Democratic candidate is [tex]\hat p[/tex] = 0.48

To test the claim that at least half of all voters prefer the Democrat, i.e 1/2 = 0.5

The null hypothesis and the alternative hypothesis can be computed as:

[tex]H_o : p \geq 0.50[/tex]

[tex]H_1 : p < 0.50[/tex]

Using the Z test statistics which can be expressed by the formula:

[tex]Z = \dfrac{\hat p - p}{\dfrac{\sqrt{p(1-p) }}{n}}}[/tex]

[tex]Z = \dfrac{0.48 - 0.5}{\dfrac{\sqrt{0.5(1-0.5) }}{1068}}}[/tex]

[tex]Z = \dfrac{-0.02}{\sqrt{\dfrac{{0.5(0.5) }}{1068}}}[/tex]

[tex]Z = \dfrac{-0.02}{\sqrt{\dfrac{{0.25}}{1068}}}[/tex]

[tex]Z = \dfrac{-0.02}{0.015}[/tex]

Z = -1.333

P-value = P(Z< -1.33)

From z tables,

P-value  = 0.09176

The level of significance ∝ = 0.05

Decision Rule: Reject [tex]H_o[/tex] if ∝  is greater than the P-value

Conclusion: Since P-value is >  the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.

Answer:

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Answer: I think the answer is that the bicycle is a liability.

Answer:

6a+48

Step-by-step explanation:

Distribute:

6(a+8)

6 x a = 6a

6 x 8 = 48

6a+48

Answer: 6a + 48

Step-by-step explanation: use the distributive property and multiply 6•a to get 6a and multiply 6•8 to get 48

Answer:

There are no domains so 0

Step-by-step explanation:

The domain of any function is simply all the possible numbers you can input for   x

without violating the rules of math.

we cannot have a negative number for x (its against the laws of math), so the domain would be all non-negative numbers

:) Hoped this helped

Answer:

58.5

Step-by-step explanation:

1.) Divide 78 by 4

2.) Multiply 19.5 by 3

OR

1.) Change 78 to 78/1

2.) Multiply 78/1 by 3/4

3.) Smile because you got the answer right :)

Her heart beats 58.5 beats in 3/4 of a minute.

We have Patricia's normal heart rate.

We have to determine how many times does her heart beat in 3/4 of a minute.

A normal resting heart rate for adults ranges from 60 to 100 beats per minute.

According to the question -

Patricia's normal heart rate = 78 beats per minute.

Now - 3/4 of a minute = 3/4  x  60 =  15 x 3 = 45 seconds.

Now -

60 seconds → 78 beats

1 second → (78/60) beats

45 seconds → (78/60) x 45 = 58.5 beats

Hence, her heart beats 58.5 beats in 3/4 of a minute.

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Answer: x=38

Step-by-step explanation:

x+(-15)=23

x-15=23

+15  +15

x=38

When there is a positive and negative sign the negative sign cancels the positive sign.

Answer:

38

Step-by-step explanation:

23+15=38 because in order to get 23 from -15 a negative number you need to have 38 to silence the -15.

Answer:

$2,935 increase, which makes $32,285.

Step-by-step explanation:

10% is .10, so just multiply 29,350 by .10 and ger 2,935. Then add it to your inital value.

Answer:

V-20

Step-by-step explanation:

(-2) + (-18)= -20

Answer:

Measure of third side = 2.1 inches

Step-by-step explanation:

Perimeter of any polygon = Sum of lengths of all sides of the polygon

From the figure attached,

Number of sides of the polygon = 3

Therefore, perimeter of a triangle = sum of all three sides of the given triangle

Length of two sides = 1.7 inches and 3.4 inches.

Let the third side = x inches

Perimeter of the triangle = 7.2 inches

By the definition of the perimeter,

7.2 = 1.7 + 3.4 + x

7.2 = 5.1 + x

x = 7.2 - 5.1

x = 2.1 inches

Therefore, third side of the given triangle is 2.1 in.

Answer:

[tex]x -3e^{-x} + C[/tex]

Step-by-step explanation:

Given the integral [tex]\int\limits {\dfrac{e^{x}+3}{e^x} } \, dx[/tex], we are to evaluate it. Note that sum of integral is equal to the integral of its individual sum as  shown;

[tex]\int\limits {\dfrac{e^{x}+3}{e^x} } \, dx = \int\limits {\dfrac{e^{x}}{e^x} } \, dx + \int\limits {\dfrac{3}{e^x} } \, dx[/tex]

[tex]= \int\limits 1\, dx + 3\int\limits {e^{-x} \, dx \\\\[/tex]

[tex]= x + 3(-e^{-x})\\\\= x -3e^{-x} + C[/tex]

Hence the value of the evaluated integral is [tex]x -3e^{-x} + C[/tex] where C is the constant of integration.

Answer:

-15

Step-by-step explanation:

When

Expression get value of:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 15 }}}}}[/tex]

Step-by-step explanation:

Given, m = 2

[tex] \sf{ {m}^{2} - 8m - 3}[/tex]

plug the value of m

[tex] \longrightarrow{ \sf{ {2}^{2} - 8 \times 2 - 3}}[/tex]

Evaluate the power : 2²

[tex] \longrightarrow{ \sf{4 - 8 \times 2 - 3}}[/tex]

Multiply the numbers: 8 and 2

[tex] \longrightarrow{ \sf{4 - 16 - 3}}[/tex]

The positive and negative integers are always subtracted but posses the sign of the bigger integer :

[tex] \longrightarrow{ \sf{ - 12 - 3}}[/tex]

The negative integers are always added but posses the negative ( - ) sign

[tex] \longrightarrow{ \sf{ - 15}}[/tex]

Hope I helped!

Best regards! :D

Answer:

B. 1.23 g/cc answer is

Step-by-step explanation:

because in the picture the ice berg is cold and sea water

1) 1/4+1/2

We need to convert the fractions.

1/4 is fine.

1 x 2=2

2 x 2=4

1/4+2/4=3/4

2) a+a

a can be written as 1a.

1a+1a=2a

I can't see photos and he doesn't know 3 or 4 and i'm confused on 5.

a=?

Hope it helps?

Answer:

2. 2a

3. a^4

4. a^5

5. 1

9. 125

10. 1875

I believe most of these are correct

Answer and Step-by-step explanation:

This regression can generate an omitted variable bias, because the researcher did not determine any parameters or real data to measure it. In this case, the researcher determined the crime rate as a dependent variable, but did not establish the facts that influence it and that promote an observable result. In this way, he omitted the independent variable and his research will be inaccurate and incorrect. To control this bias, it is necessary for the researcher to provide a dependent variable such as the level of education in the region, the income distribution in the region, the unemployment rate, the fraction of young men, among others.

Answer:

i think it A i might be wrong

Step-by-step explanation:

The point (-4, 1) is in the top left or II quadrant.

Answer:

Sammy has the greatest amount.

Step-by-step explanation:

I figured that out because half of 1,000,000 is 500,000 , and Laila had 1,000,000 but gave Sammy half of that money , and Sammy had already started out with 90,000 , So 500,000 + 90,000 = 590,000 . So that means Laila is stuck with the 500,000 while Sammy has the 90,000 she started off with and the 500,000 Laila gave her .