Melanie surveyed 4 people to find out the ages of their cars and the distance they drive each day.
• Lara said her car is 4 years old, and that she drives 34 miles in the morning and 38 miles in the evening each day.
• Jamal said his car is 6 years old, and that each day he drives 56 miles total to go back and forth to work and 8 miles total to drive
his children to and from school.
• Cala said her car is 2 years old, and that she drives 18 miles each day.
. Ali said his car was 2 years old when he purchased it and that he's owned it for 6 years. He also said that he drives 7 miles to
school, 2 miles to soccer practice, and 6 miles back home each day.
Enter your answers in the boxes to complete the data table.

Answer:

y = 3x² + 15x + 12

Step-by-step explanation:

A quadratic function in standard form is

y = ax² + bx + c ( a ≠ 0 )

Given

y = 3(x + 4)(x + 1) ← expand the factors using FOIL

  = 3(x² + 5x + 4) ← distribute parenthesis by 3

  = 3x² + 15x + 12

Answer:

Step-by-step explanation:

if (x,y) is the centroid. Then x=(x1+x2+x3)/3,y=(y1+y2+y3)/3

5.

x=(-2+4+10)/3=4

y=(6+0+6)/3=4

centroid=(4,4)

6.

x=(3+5-2)/3=2

y=(3-1+1)/3=1

centroid=(2,1)

Answer:

4

Step-by-step explanation:

0*(1/3125)+1*(4/625)+2*(32/625)+3*(128/625)+4*(256/625)+5*(1024/3125)

The expected value is an extension of the weighted average in probability theory. The expected value for the given binomial distribution is 4.

The expected value is an extension of the weighted average in probability theory. Informally, the anticipated value is the arithmetic mean of a large number of independently chosen random variable outcomes.

Expected value, E(x) = ∑(Px)

where P is the probability and x is the random distribution value.

The expected value for the given binomial distribution is,

Expected value = Random variable × Probability

E(x) = ∑(Px)

= 0(1/3125) + 1(4/625) + 2(32/625) + 3(128/625) + 4(256/625) + 5(1024/3125)

= 0 + (4/625) + (64/625) + (384/625) + (1024/625) + (5120/3125)

= 0 + 0.0064 + 0.1024 + 0.6144 + 1.6384 + 1.6384

= 4

Hence, the expected value for the given binomial distribution is 4.

Learn more about Expected Value here:

https://brainly.com/question/13945225

#SPJ2

Answer:

Vincent’s plane is cruising at an altitude of 3.2 × 10^4 feet.

Convert the number to standard notation.

3.2 × 10^4 feet  

=

3.2 • 10,000 feet

=

32,000 feet

Step-by-step explanation:

This is the sample answer from Edmentum.

Answer:

Question 1 part a =

Vincent’s plane is cruising at an altitude of 3.2 × 104 feet.

Convert the number to standard notation.

3.2 × 104 feet  

= 3.2 • 10,000 feet

= 32,000 feet

Part b =

Felix’s skydiving altitude is 1.28 × 105 feet.

Convert the number to standard notation.

1.28 × 105 feet  

= 1.28 • 100,000

= 128,000 feet

Part c =

Subtract the two altitudes to find the difference.

128,000 feet − 32,000 feet = 96,000 feet

The difference of their altitudes is 96,000 feet.

Part d =

The difference of the altitudes is 96,000 feet.

Covert 96,000 to scientific notation:

96,000 feet = 9.6 × 104 feet

Question 2 part a  =

Vincent’s plane’s altitude is 3.2 x 10^4 feet.

Felix’s skydiving altitude is 1.28 x 10^5 feet.

Transform 3.2 x 10^4  so its exponent matches the power of 10 in 1.28 x 10^5.

To do so, multiply and divide the number by 10.

3.2 x 10^4 = 10/10 x 3.2 x 10^4

                 = 3.2/10 x 10^4 x 10

                 = 0.32 x 10^5

Part b =

Calculate the difference of the two altitudes:

1.28 × 105 – 0.32 × 105

=  (1.28 – 0.32) • 105

= 0.96 • 105

The difference of their altitudes is 0.96 •105 feet.

Part c =

The difference of Vincent’s and Felix’s altitudes is 0.96 x 10^5 feet.

To convert the answer to scientific notation, multiply and divide the number by 10.

0.96 x 10^5 = 10/10 x 0.96 x 10^5

                   = (0.96 x 10) x (10^5 x 10^-1)

                   = 9.6 x 10^4 feet

In scientific notation, the difference of Vincent’s and Felix’s altitudes is 9.6 x 10^4 feet.

Question 3 =

The altitudes are the same. That means you can subtract numbers given in scientific notation using either of two methods: convert them to standard notation and then perform the subtraction, or subtract the numbers in scientific notation without converting them to standard notation.

Step-by-step explanation:

Your answer is in bold. All edmentum answers :)

Hope this helps someone!

Answer:

PQ = 1/2BC

Step-by-step explanation:

Answer:

(x - √7*√x) / (x - 7)

Step-by-step explanation:

I suppose your expression is √x / (√x + √7)

(√x * (√x - √7)) / ((√x + √7) * √x - √7)) = (√x * √x - √7 * √x) / (x - 7)

= (x - √7*√x) / (x - 7)

Answer:

Its A

Step-by-step explanation:

I just took the test on edge

Answer: 69.2%

Step-by-step explanation:

There are 101 Year 13 students out of a total number of 146 pupils.

To find this as a percentage, divide the total number of students by the year 13 students and then multiply by 100%:

= Year 13 students/ Total students * 100%

= 101 / 146 * 100%

= 0.692 * 100%

= 69.2%

Answer:

Step-by-step explanation:

D

Answer:

x = 39

Step-by-step explanation:

54/x = 36/26

1,404 = 36x

x = 39

Answer:

y - intercept = -5/2

x-intercept = -2

Step-by-step explanation:

-5x - 4y = 10

At y-intercept , x = 0

0 - 4y = 10

       y = 10/-4

       y = -5/2

At x-intercept, y = 0

   -5x  - 0 = 10

           -5x = 10

              x = 10/-5

               x = -2

Answer: 43%

Step-by-step explanation:

2021/4700 = 0.43

0.43 x 100 = 43%

Answer:

-13.8y

Step-by-step explanation:

Since these all have the same variable you don't need to worry that much. Let's take away the y to make it easier. Now you just subtract normally.

1.8 - 9.3

A trick that I use is that I subtract 9.3 - 1.8, and then add a negative sign. So that is -7.5

Then, subtract -7.5-6.3. You add these because they have the same symbol. So it is -13.8

We can't forget about the variable!! So it is -13.8y

Hope this helps!!

-Ketifa

(Can I get brainliest?)

Answer: 10) Fourth option

Step-by-step explanation:

10) [tex]\frac{t^2+2t-24}{t^2-36}[/tex]

Factor t^2 + 2t - 24

What two numbers add to 2 and multiply to -24?

6 and -4 so

(t + 6)(t - 4) is the factored form

t^2 - 36 factored is  => because of a^2 - b^2 = (a - b)(a + b)

[tex]\frac{(t + 6)(t - 4)}{(t + 6)(t - 6)} = \frac{t-4}{t-6}[/tex]

Since we cancelled out be t + 6, t + 6 ≠ 0, t ≠ -6

And since the denominator is t - 6, t - 6 ≠ 0, t ≠ 6

[tex]\frac{t-4}{t-6}[/tex] , t ≠ -6, t ≠ 6

#11 is similar, try that yourself :)

[tex] \frac{ {2}^{5} \times {3}^{ 3} \times 4}{9 \times 32} \\ \frac{ {2}^{5} \times {3}^{ 3} \times 4}{ {3}^{2} \times {2}^{5 } } \\ \\ \\ \\ therefore \: answer \: is \: 12[/tex]

Answer:

12

Step-by-step explanation:

2⁵ = 2*2*2*2*2 = 32

3³ = 3*3*3 = 27

(2⁵ x 3³ * 4) / (9 x 32) = (32 x 9 x 3 x 4) / (9 x 32) = 3 x 4 = 12

Answer:

C

Step-by-step explanation:

< this means that its less than what ever the number is and wants to eat it because ye. so C

Answer:

y = tan-1 (31/23)

Formula: SOHCAHTOA

TOA: tan = opposite/adjacent

31 / 23 = 1.3478

tan-1 of 1.3478 is 53.4264

53.4264 = 53 (rounding to the nearest degree)

y = 53 degrees

Answer:

8^2-60 ,   11^1   , 2^2x5

Step-by-step explanation:

2^2= 4

4 x 5 = 20

11^1= 11

8^2= 64

64-60 = 4

Answer:

11 coins each day, not counting the first day

Step-by-step explanation:

89 - 23 = 66

66/6 = 11 coins per day

PLZZZZ give me brainliest!

Answer:

LOLLLLLLLLLLLLLLLLLLLLLL

Answer:

3x+ -1

Step-by-step explanation:

-x-2x= -x+ -2x

-x+ -2x= -3x

1-2= -1

Hope this helps

Answer:

-3x-3

Step-by-step explanation:

Answer:

-9x^2+911x-202

Step-by-step explanation:

You will need to multiply each term in the parenthesis with each term in the other parenthesis.

Answer:

11

Step-by-step explanation:

So the sum of the angles is 18 × 90 = 1620

the formula to find number of sides is n which is sides - 2 into 180 equals sum of interior angles

(n-2)*180 = 1620

n-2 = 1620/180

n- 2 = 9

n = 11

hope this helped

Answer:

The answer is 1m/s

Answer:

x = 3

y = 2

Step-by-step explanation:

5x + 4y= 23

x - y = 1   then x = y + 1

substitute for x:

5(y + 1) + 4y = 23

simplify:

9y = 18

y = 2

x = 2 + 1 = 3

check:

3-2 = 1

1 = 1

and:

5(3) + 4(2) = 23

23 = 23

Answer:

153.86 units squared.

Step-by-step explanation:

given

diameter (d) = 14

radius (r) = 14/ 2 = 7

Area of the circle

= πr²

= 3.14 * 7²

= 3.14 * 49

= 153.86 units squared

Hope it will help :)❤

Answer:

Adding them together. x = 3/2, y = 8

Step-by-step explanation:

Adding because we want to get rid of a variable. If we add, 2x + 6x = 8x, 1/2 * y + (-1/2 * y) = 0, and 7 + 5 = 12. Adding gets rid of the y variable.

By adding we get that 8x = 12 which gives us x = 12/8 = 3/2

Substituting this back into either equation will give us y = 8.

Step-by-step explanation:

multiple 1/2 × 2 × 1 1/2

you can download Desmo calculator or write down what you multiple neatly on a piece of paper and use photo math