Factor the polynomial completely.

4x3 – 12x2 + 7x – 21
4x2(x – 3) + 7(x – 3)
Which is the completely factored polynomial?

4x2(x + 4)
3x2(x – 3)
(4x2 – 7)(x + 3)
(4x2 + 7)(x – 3)

Answer:

155

Step-by-step explanation:

<MEY= <PEX because they are vertical angles

<PEY = 180 because it is a straight angle, so 180-25 = 155

Answer:

155

Step-by-step explanation:

yup

Answer:

10:35

11:35

12:35

1:35

2:35

=Thats 4 hours

and then 40-35=5

So 4hours 5 minutes

Answer:

yeah

Step-by-step explanation:

im reply cause I want to ask a questionbx

Answer:solve for x 5a/x = 5b/ x-1 - 11261842. ... out the denominators by multiplying both sides by the bottom, you can then factor to find X= a / (a-b).

Step-by-step explanation:

Answer:

I do not know

Step-by-step explanation:

Answer:

A. Fail to reject the null hypothesis and conclude that customers rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow

Step-by-step explanation:

The researcher found out that;

MBlue = 5.6 and MYellow = 3.42

This means that more customers found lemon snacks cake tinted blue as sweeter since Mblue > Myellow.

Null hypothesis is that lemon cake with blue coloring will make the cake-eating experience sweeter and more enjoyable.

Thus; since Mblue > Mellow, we will Fail to reject the null hypothesis and conclude that the customers rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow.

Answer:

A) Mean = 21.5

Standard deviation = 3.3

B) - Values of 14.9 girls or fewer are significantly low.

- Values of 28.1 girls or higher are significantly high

C) - The result is significantly​ high, because 32 girls is greater than 28.1 girls

-A result of 32 girls would suggest that the method is effective.

Step-by-step explanation:

A) We are given;

Number of couples; n = 43

Probability it is a girl; p = 0.5

Formula for mean is;

Mean; x¯ = np

x¯ = 43 × 0.5

x¯ = 21.5

Formula for standard deviation is;

SD = √(np(1 - p))

SD = √(43 × 0.5 × (1 - 0.5))

SD = √(43 × 0.5²)

SD ≈ 3.3

B) range rule of thumb is that the values are usually within 2 standard deviations from the mean.

Thus, we have;

x¯ ± 2SD

This gives;

21.5 ± 2(3.3)

That is;

21.5 + 6.6 and 21.5 - 6.6

To get; 28.1 and 14.9

This means that;

- Values of 14.9 girls or fewer are significantly low.

- Values of 28.1 girls or higher are significantly high

C) If the result is 32,it doesn't fall in between 14.9 and 28.1. As a matter of fact it is higher than 28.1, therefore we can say it is significantly high

- A result of 32 girls would suggest that the method is effective.

Answer:

I'm so sorry for ur sister

Answer:

Its slope is

m = -1/(1/2) = -2

y = -2x + b

Get b from the given point.

-4 = -2(6) + b

b = 8

y = -2x + 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given slope (m) = -3/4

and x1 = 6

and y1 = 4

Solve for b (y2) using x2 = 0.
m = -3/4 = (y2-y1)/(x2-x1)

-3/4 = (4-y1)/(6-0)

-3/4 = (4-y1)/6

-(3/4)*6 = 4 - y1

-18/4 = 4 - y1

y1 = b = 16/4 + 18/4 = 34/4 = 8 1/2

therefore the correct answer should be:

Equation of the line:

y = -3/4x + 8 1/2

Answer:

$546000

Step-by-step explanation:

($65000×8%)(2)

Answer:combination

Step-by-step explanation: just did the assignment

Answer:

B. 40 meters

Step-by-step explanation:

there are 100 cm in a meter

we can divide 4,000 by 100 to see how many meters are equivalent to 4,000 cm.

4,000/100 = 40

Therefore, the answer is B. 40 meters

hope this helps :)

Answer:

The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.

Step-by-step explanation:

Normal Probability Distribution:

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

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with the average of 7.95 lb and the standard deviation of 3.12 lb.

This means that [tex]\mu = 7.95, \sigma = 3.12[/tex]

Which value separates the top 2% of the weekly discarded paper weights in this area?

This is the 100 - 2 = 98th percentile, which is X when Z has a pvalue of 0.98. So X when Z = 2.054.

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

[tex]2.054 = \frac{X - 7.95}{3.12}[/tex]

[tex]X - 7.95 = 2.054*3.12[/tex]

[tex]X = 14.36[/tex]

The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.

Answer:

The answer to this question is A

Answer:A:42.192

Step-by-step explanation:

line them up by the decimals and place value

39.24

+2.952

add a zero onto 39.24 to line them up correctly

39.240

+2.952

then add to get an answer of

A:42.192

Answer:

[tex]\Large \boxed{\sf a)\ 128 \ liters \ \ \ b)\ \$ \ 115.20}[/tex]

Step-by-step explanation:

a) distance/unit rate = 1600/12.5 = 128

b) liters of gas × unit price = 128 × 0.90 = 115.2

Answer:

a) 128 liters

b) $ 115.2

Step-by-step explanation:

Part a)

12.5 km = 1 liter

1 km = 1/12.5 liters

Multiplying both sides by 1,600

1600 km = 1600 / 12.5 liters

1600 km = 128 liters

Part b)

1 liter = $ 0.90

128 liters = 128 * 0.90

128 liters = $ 115.2

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

[tex]H'I = 48[/tex]

Step-by-step explanation:

Given

See attachment for complete question.

From the attachment, we have:

[tex]GH=16.5[/tex]

[tex]HI =24[/tex]

[tex]IJ = 17[/tex]

[tex]JG =32.2[/tex]

[tex]k = 2[/tex] --- Scale factor

Required

Find H'I

The corresponding side of H'I is HI.

So:

H'I is calculated as:

[tex]H'I = k * HI[/tex]

This gives:

[tex]H'I = 2 * 24[/tex]

[tex]H'I = 48[/tex]

Answer I to j is 42

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the equation of the line 'a' is,

y = mx + c

Here, m = slope of the line

c = y-intercept

For line 'a',

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

m = [tex]\frac{10}{16}[/tex]

m = [tex]\frac{5}{8}[/tex]

y-intercept = 20

Therefore, equation of the line 'a' is,

y = [tex]\frac{5}{8}x+20[/tex]

Similarly, equation of the line 'b' is,

y = m'x + c'

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

m' = [tex]\frac{20}{16}[/tex]

m' = [tex]\frac{5}{4}[/tex]

y-intercept = 0

Therefore, equation of the line is 'b' is,

y = [tex]\frac{5}{4}x[/tex]

1). Line 'b' represents a proportional relationship → FALSE

2). The constant of proportionality of y to x for line 'a' is [tex]\frac{1}{2}[/tex] → FALSE

3). The ratio of y-coordinate to x-coordinate of one of the points on line b is 25 : 8 → FALSE

4). let a passes through the point [tex](1,\frac{5}{4})[/tex] so the constant of proportionality is [tex]\frac{5}{4}[/tex] → TRUE

Answer:

z=13

Step-by-step explanation:

Answer:

2.35

Step-by-step explanation:

2x50=100

3x25=75

4x10=40

4x5=20

100+75+40+20=2.35

since both numbers have an x, the first question might as well be asking 5 is what % of 8.

This can be found using division, 5/8=0.625 This also meant that the answer is 62.5 %

For the second question, to find the answer, you just gave to multiply the 2 numbers.

65%*80x=52

Done!

Answer:

i think

all the numbers between

0 to 4.6

Answer:

5.09 or 5.10(if u round up)

Step-by-step explanation:

When you convert √24 it will be 5.099

The decimal point must lie between 5 and 0

Hope this helps:)

Answer:

4.8

Step-by-step explanation:

6.4×1/4=1.6

6.4-1.6=4.8

hope this helps you...

.....

Step-by-step explanation:

Answer:

The third angle measures 66°

Step-by-step explanation:

If we look at the properties of triangles, we will know that all triangles have angles that, when added together, equal 180 degrees. Because we already know the measurement of two of the angles, all we have to do is add them up and subtract the sum by 180.

57+57=114

180-114=66

We got 66 as the measure of the last angle. Now, to make sure we have the right answer, we are going to check our work. We do this by adding together all of the angle measurements. If they all add up to 180, then we know we have the correct answer.

57+57+66=180

We were correct! Now we have the measurements of all three of the triangle's angles. Great job!

I hope this is easy to understand. Please let me know if you need any more help. Have a great morning!

Answer:

Jacob had more home runs relative to his usual season average than Hugo did.

Step-by-step explanation:

The key solving this is to express their respective home runs in z-value forms.

Z = (x - ų)/óx

X = Current home runs

Ų = Mean

= Meanóx = Standard deviation

For Hugo,

X = Current home run = 31

Ų = Mean = 27

Óx = Stardard deviation = 1.6

Z = (x - ų)/óx

Z = (31 - 27)/1.6 = 2.5

Hope this helped!!!

The person who had more home runs relative to their usual seasonal average was Jacob.

Representing their home runs in z-value forms.

Where

= Meanóx = Standard deviation

To find the home run for Hugo,

Therefore,

Z = (x - ų)/óx

Z = (31 - 27)/1.6

= 2.5

Hence, Jacob had the most home runs relative to their usual seasonal average.

Read more about standard deviation here:

https://brainly.com/question/12402189

Answer:

10 is the right answer

Step-by-step explanation:

please mark me as brainliest answer

Answer:

Group one has the larger median

Step-by-step explanation:

Group One:

By taking off 8 on both ends we see that the median is 53 for group one.

33, 35, 40, 41, 43, 46, 48, 49, 53, 54, 55, 58, 58, 58, 62, 62, 67

Group two:

By taking off 8 on each end as well we get 47 and 49.

35, 38, 40, 41, 42, 43, 47, 47, 47, 49, 50, 50, 53, 54, 57, 61, 66, 69

we then take the average of the two numbers

47 + 49 = 96

96 / 2 = 48