Please answer this correctly

Answer:

d. y ˆ =269,000−8300x

Step-by-step explanation:

If the regression describes the amount of dollars left after a single donation as a function of time, the regression must consist of a positive lump sum subtracted by an yearly rate. This rules out alternatives a, c, and e.

Since this equation must represent the amount left after 10 years, it must yield a positive value up to at least x = 10.

For equation b., when x = 10:

[tex]y=69,000-8,300*10\\y=-14,000[/tex]

For equation d., when x = 10:

[tex]y=269,000-8,300*10\\y=186,000[/tex]

Therefore, the only possible answer is d. y ˆ =269,000−8300x

Answer:

[tex]V(t) = 425(0.952)^{t}[/tex]

Step-by-step explanation:

The amount of water in the bucket after t hours, in mL, can be modeled by an equation in the following format:

[tex]V(t) = V(0)(1-r)^{t}[/tex]

In which V(0) is the initial amount, and r is the constant decay rate, as a decimal.

Bucket contains 425 mL of water.

This means that [tex]V(0) = 425[/tex]

The capacity of water in the bucket decreases 4.8% each hour.

This means that [tex]r = 0.048[/tex]

So

[tex]V(t) = V(0)(1-r)^{t}[/tex]

[tex]V(t) = 425(1-0.048)^{t}[/tex]

[tex]V(t) = 425(0.952)^{t}[/tex]

Answer:

13.82 or 14 people

Step-by-step explanation:

Step 1: Set equation equal to 7500

7500 = -25x² + 1250x - 5000

Step 2: Solve

0 = -25x² + 1250x - 12500

0 = -25(x² - 50x + 500)

0 = x² - 50x + 500

When you use the quadratic formula, you should get 13.82, rounded to 14 people as your answer.

Alternatively, we can graph the expression and see where $7500 for x people is.

Answer:

Don't quote me i think the poulation of 3

Step-by-step explanation:

for 9 suared is 81 so it cant be squared for then it would be 81cm and the one you need can not be longer than 1cm

The minimum sample size should be 35.

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

Given:

Variance= 9

So, standard deviation= √9 = 3

and, The critical z-score values when using a 95 percent confidence level are -1.96 and +1.96 standard deviations.

Then, Sample size= Critical value x SD / Margin error

= 1.96 x √ 3 / 139

= 34.57

= 35

Hence, the minimum sample size should be 35.

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Answer:

Step-by-step explanation:

Simple interest is I = prt where I is the interest earned in dollars, p is the initial investment in dollars, r is the interest rate in decimal form, and t is time in years. For us,

p = 37800

r = .04 and

t = 1/2 (6 months is half a year)

I = 37800(.04)(.5) so

I = $756

The value of the account after that interest is

37800 + 756 = $38556

Answer:8

Step-by-step explanation:

I’m guessing it’s like 6*x^8?

Answer:

Probability of having at least 4 Girls

= 0.6875

Step-by-step explanation:

Probability of having at least 4 Girls is 1-probability of having exactly 3 girls

Total number of children= 5 = N

Probability of having a girl p = 0.5

Probability of not having a girl q= 0.5

X= 3

Probability of at least 4 girls is given by

Probability= NCX(p)^x(q)^(N-x)

Probability = 5C3(0.5)^3(0.5)^(5-3)

Probability = 5C3(0.5)^3(0.5)^2

Probability= 5!/3!2!(0.5)^3(0.5)^2

Probability= 10(0.125)(0.25)

Probability= 0.3125

Probability of having at least 4 Girls

= 1- 0.3125

= 0.6875

Answer:

314- The unknown digit is 1

Step-by-step explanation:

16*314=5024

5024/16=314

Hope this helps ;) ❤❤❤

Answer:

5 < 10x - 3

Step-by-step explanation:

The answer is 5 < 10x - 3 because you are adding 2x to both sides of the inequality.

Answer:

  64π in²

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr²

where r is the radius.

The radius of a circle is half the diameter. For the circle shown, the radius is ...

  r = d/2 = (16 in)/2 = 8 in

Then the area is ...

  A = π(8 in)² = 64π in²

_____

Often, units are left off, so the appropriate choice might be 64π.

_____

If you want to be technically correct (at the expense of getting your answer marked wrong), you can select "None of the above." That is because none of the offered choices have the correct units: square inches. You may want to discuss this with your teacher.

Answer:

c) $450,000

Step-by-step explanation:

The calculation of the cost of the walk-in program is shown below:-

Cost of the walk-in program = 1 ÷ 4 × Salaries + 1 ÷ 2 × (Rent + Depreciation) + 1 ÷ 5 × (Utilities)

= 1 ÷ 4 × $1,000,000 + 1 ÷ 2 × ($300,000 + $80000) + 1 ÷ 5 × $50,000

= $250,000 + $190,000 + $10,000

= $450,000

Therefore for computing the cost of the walk-in program we simply applied the above formula.

Answer:

Answer D: Construct Y because it constructs the circumcenter.

Step-by-step explanation:

Point E has equal distance to L,M and N, because it is the center of a circle that goes through all 3 of them. The circumcenter is the center of a circle circumscribed about (drawn around) the triangle.

Answer:

x = -7/2

y = -13/2

Step-by-step explanation:

Solve for y in the first equation.

y = 4 + 3x

Put y as 4 + 3x in the second equation and solve for x.

-9x + 5(4 + 3x) = -1

-9x + 20 + 15x = -1

6x + 20 = -1

6x = -21

x = -21/6

x = -7/2

Put x as -7/2 in the first equation and solve for y.

y = 4 + 3x

y = 4 + 3(-7/2)

y = 4 + -21/2

y = -13/2

Answer:

The Prime Factorization of 80 is,  2 × 4 × 10, 2 × 2 × 2 × 2 × 5  and  2 × 4 × 10

Step-by-step explanation: They are correct, because they all equal 80. 2 × 4 × 10=80 and  2 × 4 × 10=80, and 2 × 2 × 2 × 2 × 5=80.

24 × 5=120, Therefore it's the only incorrect question.

The term  2 x 2 x 2 x 2 x 5 shows the prime factorization of 80.

Prime factorization is the process of dissecting a number into the prime numbers that contribute to its formation when multiplied. In other terms, it is known as the prime factorization of the number when prime numbers are multiplied to get the original number.

Given the number 80

factors of 80 are 2 x 2 x 2 x 2 x 5

and given factors,

2 x 4 x 10,

2 x 2 x 2 x 2 x 5,

2 x 5 x 8,

24 x 5

all are the factors of 80 except 24 x 5,

but the correct representation of the prime factorization of 80 is

2 x 2 x 2 x 2 x 5

Hence option B is correct.

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Answer:

4,300

Step-by-step explanation:

Lateral area of a squared Pyramid is given as ½ × Perimeter of base (P) × slant height of pyramid

Thus, we are given,

Side base length (s) = 43 yd

height (h) = 25 yd

Let's find the perimeter

Permimeter = 4(s) = 4(43) = 172 yd

Calculate the slant height using Pythagorean theorem.

Thus, l² = s²+h²

l² = 43²+25² = 1,849+625

l² = 2,474

l = √2,474

l ≈ 50 yd

=>Lateral area = ½ × 172 × 50

= 172 × 25

= 4,300 yd

Answer:

B is the correct answer! :)

Step-by-step explanation:

I'm not completely sure but I think the answer is:

corporate jet 16.5 mph

smaller plane 33 mph

Good luck

Answer:

3/8 project per hour

Step-by-step explanation:

Take the part of the project done and divide by the time

3/10 project ÷ 4/5 hours

Copy dot flip

3/10 * 5/4

Rewriting

3/4 * 5/10

3/4 * 1/2

3/8 project per hour

Answer:

3/8

Step-by-step explanation:

3/10 div 4/5

Divide 3/10=0.3 by 4/5=0.8 by multiplying 3/10=0.3 by the reciprocal of  4/5=0.8.

3/10x(5/4)

Multiply 3/10 =0.3 times 5/4 =1.25 by multiplying numerator times numerator and denominator times denominator.

3x5/10x4

Do the multiplications in the fraction 3×5/10x4

15/40 = 0.375

Reduce the fraction  15/40 = 3/8 =0.375 to lowest terms by extracting and canceling out 5.

3/8

Answer: 8n-5

Step-by-step explanation:

Answer:

  a reflection across the line containing ZK

Step-by-step explanation:

If you draw the figure, you see it is symmetrical about line ZK. Hence reflection across that line (ZK) will map one triangle to the other.

Answer:

reflection across the line containing ZK

Step-by-step explanation:

How To Solve This Problem

1. Understand what has to be true for each transformation.

2. Determine what characteristics the triangle fits.

3. The answer is is D. Reflections

4. As you can see the triangles are congruent by ASA (angle-side-angle).

5. If reflected across line ZK the pre-image is the same as the image. Therefore this is true.

Answer:

Yes.

Step-by-step explanation:

If you write out the coordinates, you can see that you can do the Vertical Line Test and confirm that if you were to write a function, it would be an actual function. No 2 x-values can be the same y-values. The coordinates all have separate xy values (or the same exact xy values) and you can determine a function.

Answer:

YES

Step-by-step explanation:

let's organize our information :

Notice how when the chair's height is growing by 1 the same happens for the tables

Answer:

a)

Null hypothesis : H₀:μ = $43,500

Alternative Hypothesis : H₁ : μ ≠ $43,500

b)

The calculated value t = 2.2975 < 1.7709 at 0.01 level of significance

Null hypothesis is accepted

c)

The calculated value t = 2.2975 < 1.7709

The residents of Wilmington, Delaware, have more income than the national average

Step-by-step explanation:

Step(i):-

Given mean of the Population = $43,500,

Given mean of the sample  = $50,500

Given standard deviation of the sample  = $11,400.

level of significance = 0.01

Step(ii):-

a)

Null hypothesis : H₀:μ = $43,500

Alternative Hypothesis : H₁ : μ ≠ $43,500

b)

Test statistic

[tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]

[tex]t = \frac{50,500 -43,500}{\frac{11400}{\sqrt{14} } }= 2.2975[/tex]

Degrees of freedom

                           ν =n-1 = 14-1 =13

The critical value

[tex]Z_{\frac{0.01}{2} } = Z_{0.05} = 1.7709[/tex]

c)

The calculated value t = 2.2975 < 1.7709 at 0.01 level of significance

Null hypothesis is accepted

Conclusion:-

The residents of Wilmington, Delaware, have more income than the national average

Answer:

the maximum error in the calculated area of the disk ΔA = 9.6 π cm²

Relative error = 0.016667

Step-by-step explanation:

Given that:

The radius of a circular disk is given as 24 cm with a maximum error in measurement 0f 0.2 cm.

The objective of this question is to use differentials to estimate the maximum error in the calculated area of the disk and determine the relative error.

To start with the differentials used to estimate the maximum error in the calculated area of the disk; we have:

radius of a circular disk  r = 24 cm

maximum error of measurement Δr = 0.2 cm

By the area of a circular disk ; A = πr²

Hence, the error in measuring the area can be represent by the equation;

ΔA = 2πrΔr

ΔA = 2×π ×(24)× (0.2)

ΔA = 9.6 π cm²

The relative error can be determined by using the expression;

Relative error = ΔA /A

where;

ΔA = 2πrΔr and A = πr²

Relative error = 2πrΔr/πr²

Relative error = 2rΔr/r²

Relative error = 2Δr/r

Relative error = 2×0.2/24

Relative error = 0.4/24

Relative error = 0.016667

Answer:

a): m=3

b)n=-4

3):x1=4.59779

Step-by-step explanation:

3(m+2)/5=3 solve brackets first

3m+6/5=3  multiply each side by 5

5(3m+6)/5=15

3m+6=15     subtract 6 from each side

3m+6-6=15-6

3m=9

m=9/3=3

b): 8(n-1)/5=3n-4/2 brackets first

8n-8/5=3n-4/2     cross multiplication

2*(8n-8)=5(3n-4)    

16n-16=15n-20   put n together

16n-15n=-20+16

n=-4

3): x^3-2x=88

it is in the form of ax^3+bx^2+cx+d (a=1,b=0,c=1,d=-88)

the polynomial has no rational roots that can be found

to find the value of x1 , find the zero roots of x when y=0

x^3-2x-88=0

x1=4.59779 which lies between 4 and 5( use polynomiol calculator)

x^3-2x-88 by x-4.59779 ( polynomial calculator)

check : (4.59779)^3-2(4.59779)-88= 0( almost zero)

Answer:

B.

Step-by-step explanation:

Hello

step 5 is wrong

because 2 + 10/2

[tex]2+\dfrac{10}{2}=\dfrac{4}{2}+\dfrac{10}{2}=\dfrac{14}{2}[/tex]

is different from (2+10)/2

[tex]\dfrac{2+10}{2}=\dfrac{12}{2}[/tex]

as there is no parentheses you have the follow the correct priorities

division first, do 10/2=5 and then the addition 5 + 2 = 7

hope this helps

Answer:

Step 5 is incorrect

Step-by-step explanation:

You dont have to solve this to figure it out.

Remember the Order of Operations:

         1. Parenthesis

                 2. Exponents

                        3. Multiplication & Division

                              4. Addition & subtraction

You can see that in step 5, they added instead of divided.

It should have gone from 2 + 10 / 2  ----->   2+ 5. And then its a different final solution as well.

Hope this helps! If not, comment on it and let me know about my error. Have a great day!!

Answer:

[tex]\large \boxed{\sf \ \ \sqrt{3x^4}\cdot \sqrt{5x^2}\cdot \sqrt{10}=5x^3\sqrt{6} \ \ }[/tex]

Step-by-step explanation:

Hello,

First, of all, as x is positive we know that:

[tex](\sqrt{x})^2=|x|=x[/tex]

Let's simplify the expression:

[tex]\sqrt{3x^4}\cdot \sqrt{5x^2}\cdot \sqrt{10}=\sqrt{3}\cdot x^2\cdot \sqrt{5}\cdot x\cdot \sqrt{2\cdot 5}=x^3\cdot \sqrt{3\cdot 5\cdot 5 \cdot 2}\\ \\=5x^3\sqrt{6}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

y = 86100 / w.

21 miles per gallon.

Step-by-step explanation:

If y is the consumption then:

y  = k / w   where k is some constant so we have:

28.7 = k / 3000

k = 3000 *28.7 = 86100

So the required equation is y = 86100 / w.

For a car weighing  4100 pounds:

y =  86100 / 4100 = 21 miles per gallon.

The required inverse relation is, yw = 86100.

The car will get 21 miles per gallon if it weighs 4,100 pounds.

A direct relation between two quantities implies that the increase in one increases the other and vice-versa.

If quantity a and b are directly related, then we write the relation as a ∝ b, which can be written as a = kb, where k is the constant of proportionality used to replace the proportionality symbol with the equal to sign.

An inverse relation between two quantities implies that the increase in one decreases the other and vice-versa.

If quantity a and b are inversely related, then we write the relation as a ∝ 1/b, which can be written as a = k/b, or, ab = k, where k is the constant of proportionality used to replace the proportionality symbol with the equal to sign.

In the question, we are given that the fuel consumption in miles per gallon (y) for a car inversely varies with its weight (w).

Thus we can write the relation like this:

y ∝ 1/w

or, y = k/w

or, yw = k.

The value of k can be determined using the given value of y = 28.7 miles per gallon and w = 3000 pounds.

Therefore, 28.7*3000 = k

or, k = 86100.

Thus, the required inverse relation is, yw = 86100.

Now, we are asked how many miles per gallon will a car get if it weighs 4100 pounds.

Therefore, w = 4100, y = ?

We know, yw = 86100.

or, y = 86100/w = 86100/4100 = 21.

Therefore, the car will get 21 miles per gallon, if it weighs 4,100 pounds.

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Answer:

7 unique values can be created.

[tex]1,2,3,\dfrac{1}{2},\dfrac{1}{3},\dfrac{2}{3},\dfrac{3}{2}[/tex]

Step-by-step explanation:

We need to find unique values that can be created by forming the fraction

[tex]\dfrac{x}{y}[/tex]

where, [tex]x[/tex] is either 4, 8, or 12 and [tex]y[/tex] is either 4, 8, or 12.

Now, possible ordered pairs are (4,4), (4,8), (4,12), (8,4), (8,8), (8,12), (12,4), (12,8), (12,12).

For these ordered pairs the value of [tex]\dfrac{x}{y}[/tex] are:

[tex]\dfrac{4}{4},\dfrac{4}{8},\dfrac{4}{12},\dfrac{8}{4},\dfrac{8}{8},\dfrac{8}{12},\dfrac{12}{4},\dfrac{12}{8},\dfrac{12}{12}[/tex]

[tex]1,\dfrac{1}{2},\dfrac{1}{3},2,1,\dfrac{2}{3},3,\dfrac{3}{2},1[/tex]

Here, 1 is repeated three times. So, unique values are

[tex]1,2,3,\dfrac{1}{2},\dfrac{1}{3},\dfrac{2}{3},\dfrac{3}{2}[/tex]

Therefore, 7 unique values can be created.

Hey there!

Let's look at the squares of all of our answer options. We will compare them to eighty two to see which it belongs in.

A. 36 and 49.

B. 49 and 64.

C. 64 and 81.

D. 81 and 100

As you can see, 82 is in between 81 and 100, so the answer is D. 9 and 10.

Also, the square root of 82 is about 9.05, and this fits our answer.

Have a wonderful day!

The value of √82 is between 9 and 10 integers.

A number system is defined as a system of writing to express numbers.

We need to find the value of √82 is between which two integers.

The value of √82  is 9.05

Square root of eighty two is nine point zero five

9.05 is in between 9 and 10

Nine point zero five is between nine and ten.

Hence, the value of √82 is between 9 and 10 integers.

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Answer:

All quadrilaterals are four sided shape.

Step-by-step explanation:

Four sided shape can be:

- Square

- Trapaziod

Four sided shape can be called a quadrilateral.