Solve problem A and B please!!

Answer:

[tex]C(d) = \frac{1}{5}d + 320[/tex]

Step-by-step explanation:

Given

[tex]d \to miles[/tex]

[tex]C \to cost[/tex]

So:

[tex](d_1,C_1) = (500,420)[/tex] --- May

[tex](d_2,C_2) = (620,444)[/tex] --- June

Required

Express as a function

Start by calculating the slope (m)

[tex]m = \frac{\triangle C}{\triangle d}[/tex]

[tex]m = \frac{444-420}{620-500}[/tex]

[tex]m = \frac{24}{120}[/tex]

Simplify

[tex]m = \frac{1}{5}[/tex]

The equation is:

[tex]C(d) = m(d - d_1) +C_1[/tex]

[tex]C(d) = \frac{1}{5}(d - 500) +420[/tex]

[tex]C(d) = \frac{1}{5}d - 100 +420[/tex]

Take LCM

[tex]C(d) = \frac{1}{5}d + 320[/tex]

Answer:

i believe it is D side angle side

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Hi there!

There are 6 sections that are odd-numbered and there are 8 sections in total. Therefore, the probability that the pointer will land on an odd-numbered section is 6/8, or 3/4 when simplified.

I hope this helps!

Answer:

x = 13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

7x - 18 = 4x + 21

Step 2: Solve for x

Answer:

x = 13

Step-by-step explanation:

7 x - 18 = 4 x + 21

Subtract 4x on both side

7x - 4 x - 18 = 4x - 4x + 21

3 x - 18 = 21

Add 18 on each side

3 x - 18 + 18 = 21 + 18

3 x = 39

Divided each side by 3

3 x / 3 = 39 / 3

x = 13

Answer:

x is 40° because it's same side interior angle

y is 140° because it's a corresponding angle with the 140° angle

z is 40° because it's a corresponding angle with x

Answer:

X=40, Y=140, Z=40 because total sum is 360

Answer:

a. The researcher makes sure that the proportion of respondents from each state matches the proportion of each state's population to the US population.

b. The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.

c. The researcher gets the complete list from the Census Bureau and uses a computer to randomly select 2000 people.

d. The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people. Then the researcher makes sure that everyone from each group answers the survey question.

e. The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.  

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.  

First 2000, so convenience.

The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.

Every kth element, k = 1500, so systematic.

The researcher gets the complete list from the Census Bureau and uses a computer to randomly select 2000 people.

Randomly selects 2000 people, so random sampling.

The researcher makes sure that the proportion of respondents from each state matches the proportion of each state's population to the US population.

Divides the population into groups(by state), and a few members of each group are surveyed, so stratified.

The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people. Then the researcher makes sure that everyone from each group answers the survey question.

Each element of the cluster is surveyed, so cluster sampling.

After 17 years, Serenity has $778 more than Avery

The formula for calculating the compound amount is expressed according to the formula;

[tex]A=P(1+\frac{r}{n} )^{nt}\\[/tex]

For Avery;

P = $3,800

rate = 5 1/2 % = 0.055

time = 17 years

n = 12 (monthly compounding)

Substitute into the formula to have:

[tex]A=3800(1+\frac{0.055}{12} )^{12(17)}\\A=3800(1+0.00458)^{204}\\A=3800(1.00458)^{204}\\A=3800(2.5401)\\A = \$9,652.22[/tex]

Hence the amount that will be in Avery's account after 17years is $9,652

For Serenity;

P = $3,800

rate = 6 1/8 % = 0.06125

time = 17 years

n = 1 (continuous compounding)

Substitute into the formula to have:

[tex]A=3800(1+\frac{0.06125}{1} )^{1(17)}\\A=3800(1+0.06125)^{17}\\A=3800(1.06125)^{17}\\A=3800(2.7473)\\A = \$10,439.62[/tex]

Hence the amount that will be in Serenity's account after 17years is $10,430.

Amount Serenity have more than Avery = $10,430 - $9652 = $778

Learn more on compound amount here: https://brainly.com/question/18442810

Answer:

10

Step-by-step explanation:

Answer: The median is 10

Step-by-step explanation:

Answer:

1x1=1

9x6 =54

18×6=108

54×6=324

10x2=​20

Step-by-step explanation:

Answer:

ADMC

Step-by-step explanation:

The secant of a circle is a line that cuts the cuts two points of the circumference with one end point external to the circle;

Fro the given diagram, the two lines that cuts the circumference of the circle at two points are AEB and ADMC

Hence the one that contains diameter with point M is line ADMC

Answer:

Diverges

Step-by-step explanation:

It will diverge due to my calculations

Answer:

The absolute deviation at 19 is 3.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

|19-16|=3

subtract mean from expected value

Answer:

i dont know

Step-by-step explanation:

i dont know

Answer:

50 hot dogs

150 sodas

Step-by-step explanation:

set up a system of equations where 'h' = # hot dogs sold and '3h' = # sodas sold

h + s = 200

s = 3h

h + 3h = 200

4h = 200

h = 50

s = 200-50 or 150

Answer:

do you have a picture or?

have a good day :)

Step-by-step explanation:

Answer: 4374

Step-by-step explanation:

Answer:

View the graph for a visual

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]f(x)=xe^{\frac{x}{2} } \\f'(x)=x*\frac{1}{2} e^{\frac{x}{2} } +e^{\frac{x}{2} } =e^{\frac{x}{2} } (\frac{x}{2} +1)\\[/tex]

f'(x)=0, gives x=-2

we find f(x) at x=-3,-2,1

f(-3)=-3e^(-3/2)≈-0.67

f(-2)=-2e^(-2/2)=-2e^{-1}=-2/e≈-0.74

f(1)=1 e^(1/2)=√e≈1.65

Answer:

its 9 plus 9 and equals 19.0

Answer:

0.8974 = 89.74% probability that the person actually has the disease.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test.

Event B: Has the disease.

Probability of a positive test:

0.7 of 0.2(has the disease).

0.02 of 100 - 20 = 80%(does not have the disease). Thus:

[tex]P(A) = 0.7*0.2 + 0.02*0.8 = 0.156[/tex]

Probability of a positive test and having the disease:

0.7 of 0.2. So

[tex]P(A \cap B) = 0.7*0.2 = 0.14[/tex]

What is the probability that the person actually has the disease?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.14}{0.156} = 0.8974[/tex]

0.8974 = 89.74% probability that the person actually has the disease.

Answer:

2^4

Step-by-step explanation:

2*2*2*2

There are four 2's multiplied together

2 is the base and 4 is the exponent

2^4

Answer:

Hello There!!

Step-by-step explanation:

The answer is D. 2^4. 2^4 means the same as 2×2×2×2 which means 2 is multiplied my itself 4 times.

hope this helps,have a great day!!

~Pinky~

9514 1404 393

Answer:

  C.  -√(x+6) -2

Step-by-step explanation:

The functions x², √x, and |x| all have ranges that are non-negative values. This means the range of the given function f(x) = -|x+3|-2 will be values that are at most 2.

The ranges of the offered answer choices are ...

  A. y ≥ -3

  B. y ≥ -2

  C. y ≤ -2 . . . . . matches that of the given function

  D. y ≤ -3

Answer:

different

Step-by-step explanation: very different

Answer:

35 is 40% of 87.5

Step-by-step explanation:

[tex]\frac{40}{100}=\frac{35}{x}[/tex]

Cross multiply

[tex]40x=3500[/tex]

Divide both sides by 40

[tex]x=87.5[/tex]

Hope this helps

9514 1404 393

Answer:

  21 September

Step-by-step explanation:

Since Alicia is 12 days older, her birthday was 12 days before October 3rd. If we think of October 3rd as equivalent to September 33rd, then 12 days previous is the 33 -12 = 21st day of September.

Alicia's birthday is September 21st.

Answer:

Multiply each side by 6

Step-by-step explanation:

27 = m/6 - 3

Add 3 to each side

27+3 = m/6 - 3+3

30 = m/6

Multiply each side by 6

30*6 = m/6*6

180 = m

Answer:

22 ft²

Step-by-step explanation:

SA = 2(5 x 1) + 2 ( 5 x 1 ) + 2 (1x1)

SA = 20 + 2 = 22

If my answer is incorrect, pls correct me!

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-Chetan K