Jennifer drew the graph of f(x) = 2x2 + 4x.



Matt drew the graph of f(x) = 2(x + 1)2 on the same coordinate plane.

Compare the graphs that Jennifer and Matt drew by completing the statements.


Jennifer’s graph is vertically shifted
from Matt’s graph.

Jennifer’s graph is horizontally shifted
from Matt’s graph.

Jennifer’s graph is
Matt’s graph.

Which graph has a vertex that is a maximum?

Answer:

Step-by-step explanation:

145 mm hg

Answer:

A

Step-by-step explanation:

Answer:

0.065 metric tons

Step-by-step explanation:

Given

65 kg

To find

Convert 65 kg to metric tons

Then, the answer is 0.065 metric tons

Answer:

$78.37 ÷7

Step-by-step explanation

im not smart

Answer:

110.068181818

Step-by-step explanation:

Answer:

39 sq inches

Step-by-step explanation:

Answer:

Disagree

Step-by-step explanation:

[tex]3.67 = c - 2.13 \\ 3.67 + 2.13 = c \\5.8 0 = c[/tex]

Answer:

The value of X is 126. The angle of JML is 42

Answer:

Step-by-step explanation

Answer:

22% probability the student is a junior.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes:

The table says that:

There are 4 + 6 + 2 + 2 + 3 + 4 + 6 + 6 + 3 = 36 total students.

2 + 6 = 8 are juniors.

If a student is selected at random, find the probability the student is a junior.

8/36 = 0.2222 = 22.22%

Rounding to the nearest whole percent, 22% probability the student is a junior.

Answer:

27%

Step-by-step explanation:

Answer:

The scientist must use 10 ounces of Solution A and 40 ounces of Solution B.

Step-by-step explanation:

Since a scientist has two solutions, which she has labeled Solution A and Solution B, each containing salt, and she knows that Solution A is 40% salt and Solution B is 90% salt, and she wants to obtain 50 ounces of a mixture that is 80% salt, to determine how many ounces of each solution should she use the following calculation must be performed:

100 x 0.9 + 0 x 0.4 = 90

90 x 0.9 + 10 x 0.4 = 85

80 x 0.9 + 20 x 0.4 = 80

50 x 0.8 = 40

Therefore, the scientist must use 10 ounces of Solution A and 40 ounces of Solution B.

Answer:

$600

Step-by-step explanation:

To find the original price, divide the cost by 0.75

450/0.75

= 600

So, the original price was $600

Answer: $600

Step by Step explaination:

Answer:

x=7

x=4

x=1/9

Step-by-step explanation:

For number 9 you can either type out the work or say something like:

To solve all of the problems in Question 8 I had to move all of the terms without an (x) to the right side. After I did this I divided everything by the number attached to the (x) to find the value of (x) by itself.

Answer and Step-by-step explanation:

8a.

3x + 6 = 27

Subtract 6 from both sides.

3x = 21

Divide 3 from both sides.

x = 7

8b.

6x + 3 = 27

Subtract 3 from both sides.

6x = 24

Divide 6 from both sides.

x = 4

8c.

27x + 3 = 6

Subtract 3 from both sides.

27x = 3

Divide 27 from both sides.

x = 3/27

Simplify the fraction

x = 1/9

9.

The above steps are the reasonings for the above answers.

9514 1404 393

Answer:

  7 hours

Step-by-step explanation:

They will be at the same place when Kara completes one lap and Steven completes 2 laps. It will take Kara 7 hours to complete one lap.

  (105 km)/(15 km/h) = 7 h

Answer:

 7 hours

Step-by-step explanation:

They will be at the same place when Kara completes one lap and Steven completes 2 laps. It will take Kara 7 hours to complete one lap.

 (105 km)/(15 km/h) = 7 h

Answer:

a) 0.0526 = 5.26% probability that more than 40 babies weigh less than 25 pounds.

b) 0.409 = 40.9% probability that 34 or more babies weigh less than 25 pounds.

c) 0.6249 = 62.49% probability that the number of babies who weigh less than 25 pounds is between 28 and 38 exclusive.

Step-by-step explanation:

The binomial approximation to the normal is used to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

A government agency reports that 22% of baby boys 6-8 months old in the United States weigh less than 25 pounds.

This means that [tex]p = 0.22[/tex]

A sample of 147 babies is studied.

This means that [tex]n = 147[/tex]

Mean and standard deviation:

[tex]\mu = E(X) = np = 147*0.22 = 32.34[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{147*0.22*0.78} = 5.02[/tex]

(a) Approximate the probability that more than 40 babies weigh less than 25 pounds.

Using continuity correction, this is P(X > 40 + 0.5) = P(X > 40.5), which is 1 subtracted by the pvalue of Z when X = 40.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{40.5 - 32.34}{5.02}[/tex]

[tex]Z = 1.62[/tex]

[tex]Z = 1.62[/tex] has a pvalue of 0.9474

1 - 0.9474 = 0.0526

0.0526 = 5.26% probability that more than 40 babies weigh less than 25 pounds.

(b) Approximate the probability that 34 or more babies weigh less than 25 pounds.

Using continuity correction, this is [tex]P(X \geq 34 - 0.5) = P(X \geq 33.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 33.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{33.5 - 32.34}{5.02}[/tex]

[tex]Z = 0.23[/tex]

[tex]Z = 0.23[/tex] has a pvalue of 0.591

1 - 0.591 = 0.409

0.409 = 40.9% probability that 34 or more babies weigh less than 25 pounds.

(c) Approximate the probability that the number of babies who weigh less than 25 pounds is between 28 and 38 exclusive.

Exclusive means that we dont count 28 and 38, so, using continuity correction, this is [tex]P(28 + 0.5 \leq X \leq 38 - 0.5) = P(28.5 \leq X \leq 37.5)[/tex], which is the pvalue of Z when X = 37.5 subtracted by the pvalue of Z when X = 28.5. So

X = 37.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{37.5 - 32.34}{5.02}[/tex]

[tex]Z = 1.03[/tex]

[tex]Z = 1.03[/tex] has a pvalue of 0.8485

X = 28.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{28.5 - 32.34}{5.02}[/tex]

[tex]Z = -0.76[/tex]

[tex]Z = -0.76[/tex] has a pvalue of 0.2236

0.8485 - 0.2236 = 0.6249

0.6249 = 62.49% probability that the number of babies who weigh less than 25 pounds is between 28 and 38 exclusive.

Answer:

D. Completely randomized design

Step-by-step explanation:

Based on the description given about the experiment above and the manner in which the subjects were assigned to each of the treatment groups available, we can deduce that the study was conducted using a completely randomized design. The subjects weren't matched or blocked for any variable such as sex, height, age or any other variable. They were just evenly split randomly into the two available treatment levels ( those who receive the treatment and the placebo) group. With this design, all subjects have an equal chance of being in any of the two groups and the selection bias is almost totally eliminated using this sort of design as errors are being considered as arising from experimental faults.

Answer:

31.50

Step-by-step explanation:

1.)1/6

2.)1 5/10

3.)2 6/7

4.)2

5.)1 7/12

6.)2 4/5

7.)1/12

with like denominators you can just add or subtract freely just the top numerators

Answer:

1.)1/6

2.)1 5/10

3.)2 6/7

4.)2

5.)1 7/12

6.)2 4/5

7.)1/12

Step-by-step explanation:

Answer: g  

its g cause I solved it and got g

Answer:

The answer is G. Hope this helps!

Answer:

600 m²

Step-by-step explanation:

Area = 3.14 × 14 × 14 = 615.44

rounding off :

600 m²

Answer:

30

Step-by-step explanation:

the ratio is 1:6

Answer:

30 pizzas

Step-by-step explanation:

1 packet makes 6 pizzas, so you would just multiply 6 pizzas by 5 packets of flour to get 30

Answer:

$10,213.34

Step-by-step explanation:

Using the compound interest formula;

A = P(1+r/n)^t

Given that;

P = $7,200

rate r = 6% = 0.06

Time t = 6years

n = 1

Substitute into the formula

A = 7200(1+0.06)^6

A = 7200(1.06)^6

A = 7200(1.4185)

A = 10,213.34

Hence the final amount is $10,213.34

Answer: ~31.3

first use the pythagorean theorem. a^2+(40)^2=50^2.

simply. a+1600=2500. subtract 1600 from both sides. a^2=900.

square root both sides to get a= 30

then find how far the top of the ladder is from the ground once in its new position.

a^2+(39)^2=50^2.

simplify. a^2+1512=2500. subtract 1512 from both sides to get a^2=979.

square root both sides to get a=31.288975. round to the nearest tenth to get a=31.3

Answer:

Step-by-step explanation: iT'S 31.3

Answer:

[tex] \frac{5}{2} \times \frac{3}{4} \\ \frac{15}{8} [/tex]

Answer:

15/8

Step-by-step explanation:

2.5/2 = 1.25

1.25/2 = 0.625

2.5 - 0.625 = 1.875

1.875 = 75/40 = 15/8

Answer:

p = 20

a = 27.5

Step-by-step explanation:

The length of the bottom side is 4.

perimeter = 5 * 4 = 20

area = ½san

area = ½(4)(2.75)(5)

area = 27.5

Answer:

0.468

Step-by-step explanation:

Hope it helps

Answer:

The answer is 13.005

Step-by-step explanation:

Answer:

13.005

Step-by-step explanation:

Answer:

d. Cos B = 9/41

Step-by-step explanation:

Recall, SOHCAHTOA.

Cos B = Adjacent length / Hypotenuse length

Adjacent length to reference angle B = 27

Hypotenuse length = 123

Cos B = 27/123 = 9/41

Answer:

circumference of circle = 2×pi×r

circumference of circle =2×3.14×2.8 mi

circumference of circle =17.584 mi