Sam earned $154 washing 7 cars. He earned the same amount for washing each car
Select all the equations that show reasonable estimates for the amount Sam eamed washing each car
A $140 = 7 = $20
B. $190 = 9 = $10
C. $160 = 8=320
D. $150 = 5= $10
E $150 = 3= $50

Answer:

10 ; 3.464 ; 2.4 ; (7.6, 12.4)

Step-by-step explanation:

Given the data :

10, 8, 12, 15, 13, 11, 6, 5

Point estimate of population mean :

m = ΣX / n

n = sample size = 8

(10+8+12+15+13+11+6+5) / 8

= 10

Point estimate of population standard deviation :

Sqrt(Σ(X - m)^2 / n-1)

((10-10)^2 + (8-10)^2 + (12-10)^2 + (15-10)^2 + (13 - 10)^2 + (11-10)^2 + (6-10)^2 + (5-10)^2) / 7

= sqrt(84/7)

= 3.464

Margin of error at 95%:

Zcritical * sqrt(sd²/n)

Zcritical at 95% = 1.96

1.96 * sqrt(3.464^2 / 8)

Margin of Error = 2.4

Confidence interval :

m ± Z(s/sqrt(n))

10 - 1.96(3.4634/sqrt(8)) = 7.6

10 - 1.96(3.4634/sqrt(8)) = 12.4

Answer:

4(x-3) = 8

Step-by-step explanation:

4 times the difference would be 4(x-y), and we already know what y is, which is 3. Finally, the "is 8" means "equals 8" giving us our equation: 4(x-3) = 8.

Answer:

4(x-3) = 8

Step-by-step explanation:

Answer: 48yx^1+2y^3

Step-by-step explanation:

Answer: the initial number of water lily’s

Step-by-step explanation:

the value 1.106 represents the population increase rate

edge 2021

The value 3.915 represents the initial population of water lilies

The standard exponential equation is given as y = ab^x

where;

Given the exponential equation y = 3.915(1.106^x

On comparison, we can see that;

a  = 3. 915

This shows that the value 3.915 represents the initial population of water lilies

Learn more on exponential equation here: https://brainly.com/question/2456547

Answer:

2 units

Step-by-step explanation:

Given data

The points are  (2, 3) and (2, 5)

x1= 2

y1= 3

x2= 2

y2= 5

substitute into the distance between two points formula

d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((2-2)²+(5-3)²)

d=√(2)²)

d=√4

d= 2 units

Hence the length is 2 units

Answer:

0.0025 = 0.25% probability that both are defective

Step-by-step explanation:

For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

5 percent of these are defective.

This means that [tex]p = 0.05[/tex]

If two items are randomly selected as they come off the production line, what is the probability that both are defective

This is P(X = 2) when n = 2. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025[/tex]

0.0025 = 0.25% probability that both are defective

Answer:

the zeros of the function are those that result, when plugged into the equation, in zero; the zeros are -3, 1, and 1/2

Step-by-step explanation:

all possible factors:

±3/2,  ±1/2,  ±3,  ±1

2x³ + 3x² - 8x + 3

let '2' = p and let '3' = q

factors of 'p' are 1 and 2

let '3' = q

factors of 'q' are 1 and 3

possible factors are q/p

Answer:

[tex]\frac{5\sqrt{3} }{6}[/tex]

Step-by-step explanation:

Given :

base length = 2

side lengths = x

dx/dt = 5 unit/min

Determine d∅ / dt  at x = 2

d∅ / dt  at x = 2  = [tex]\frac{5\sqrt{3} }{6}[/tex]

attached below is a detailed solution

Answer:

D 18 percent

Step-by-step explanation:

So a percent s out of a hundred and you have 50 so it is more easy to double everything and make it a hundred

the equation should be 18 is what percent of 100 which is the same thing as 18/100

18 divided by 100 is .18

Answer:

Step-by-step explanation:

The first term here is -50 and the common ratio is 0.70.  Note that the second term is 0.70(50) = 35.

The formula a(n) = a(0)*r^(n -1) becomes  a(n) = -50*0.70^(n -1), and so

the 5th term is a(5) = -50*0.70^4 = -12.005

Answer:

Please check the explanation.

Step-by-step explanation:

Given

First we need to determine the percentage decrease such as:

Percentage decrease = 2.6% of 28

                                     = 2.6/100 × 28

                                     = 0.026 × 28

                                     = 0.73

New value can be determined using the formula

New vaue = 28 - percentage decrease

                 = 28 - 0.73

                 = 27.27

Answer:

In 81 / In 12 ;

log 81 / log 12

Step-by-step explanation:

Log 12 81

Log 81 base 12

According to rule of logarithm :

Log 81 base 12 = (log 81 base 10) / log 12 base 10)

Obtaining the value :

(log 81 base 10) / log 12 base 10) = 1.7684564

Using trial and error method :

log 81 / In 12 = 0.7680308

In 81 / In 12 = 1.7684564

In 81 / 12 = 0.3662040

Hence, the correct answers are :

In 81 / In 12

log 81 / log 12

Answer:19.2

Step-by-step explanation:

Answer:

x = (-150)/49

Step-by-step explanation:

Solve for x:

49 x + 150 = 0

Hint: | Isolate terms with x to the left hand side.

Subtract 150 from both sides:

49 x + (150 - 150) = -150

Hint: | Look for the difference of two identical terms.

150 - 150 = 0:

49 x = -150

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 49 x = -150 by 49:

(49 x)/49 = (-150)/49

Hint: | Any nonzero number divided by itself is one.

49/49 = 1:

Answer: x = (-150)/49

Answer:

The difference is 10,400$.

Step-by-step explanation:

$61,000-$50,600=$10,400

Answer: x=−3 or x=13

Step-by-step explanation:

Step 1: Subtract 39 from both sides.

x2−10x−39=39−39

x2−10x−39=0

Step 2: Factor left side of equation.

(x+3)(x−13)=0

Step 3: Set factors equal to 0.

x+3=0 or x−13=0

x=−3 or x=13

Answer:

Point d

Step-by-step explanation:

because the x is -2 and the y is 3 so you look for the x and then the y

Answer:

P= 25 so

25+75= 100

Step-by-step explanation:

100-75

Answer:

P=25

Step-by-step explanation:

P+75=100

  -75  -75

_________

P=25

Answer:

Multiplied, Group Addition

Step-by-step explanation:

Again, all I know of.

Answer:

The required function is:

Please check the attached graph.

Step-by-step explanation:

We need to write a function to match the function machine  multiply the input by -3, then  subtract 2.

Let 'x' be the input.

Therefore, multiply the input by -3, then  subtracting 2 would give us the result:

f(x) = 3x - 2

Therefore, the required function is:

Please check the attached graph.

Answer:

M₁=Fr²/GM₂

Step-by-step explanation:

The original formula is

F = GM₁M₂/r²

Rearrange it so M₁ is isolated:

Fr²=GM₁M₂

M₁=Fr²/GM₂

The Vertex is (-2,1)

And the focus is  (-2,3)

Answer:

2 2/5

Step-by-step explanation:

3 pizzas are equal to 24 slices. if there 10 each person can get 2.4 or 2 2/5

Answer:

3/10 of the pizza is given to each person

Step-by-step explanation:

total number of people= 10

number of pizzas=3

as a fraction, this would be 3/10

you can also use this as 30 out of 100 if that's easier to understand.

Hope this helps ༼ つ ◕_◕ ༽つ

Answer:

it would be B

Step-by-step explanation:

Answer:

b right handed boys

Step-by-step explanation:

Answer:

y -y1= m(x-x1)  is in point slope form

y --9 = -2 (x-10)

y+9 = -2(x-10)

Step-by-step explanation:

HOPE THIS HELPS!!!