Which of theses numbers are prime

7,42,65,87,95

Answer:

Maya is correct.

Step-by-step explanation:

Khan Academy gave me the answer.

Answer:

B

Step-by-step explanation:

[tex]2x^{4}y - 18x^{2}y^{3}[/tex]

Both sides have [tex]x^{2}[/tex]

[tex]x^{2} (2x^{2}y - 18y^{3})[/tex]

Both sides have y

[tex]yx^{2} (2x^{2} - 18y^{2})[/tex]

Both sides have 2

[tex]2yx^{2} (x^{2} - 9y^{2})[/tex]

[tex]x^{2} = x.x\\9y^{2} = 3y. 3y[/tex]

[tex](x^{2} - 9y^{2}) = (x +3y) (x-3y)[/tex]

Final:

[tex]\red{ 2 {x}^{2} y(x - 3y)(x + 3y)}[/tex]

Hope this helps ^-^

The factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.

The act of expressing a number or other mathematical object as the sum of numerous factors is known as factorization.

The given expression is 2x⁴y-18x²y³.

Factor the expression as follows:

2x⁴y-18x²y³

= 2x²y(x² - 9y²)

= 2x²y(x² - (3y)²)

= 2x²y(x + 3y)(x- 3y)

Hence, the factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.

Learn more about factorization:

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The mean absolute deviation of the data is 30.

Given data:

To find the mean absolute deviation (MAD) of the given data, we need to follow these steps:

Calculate the mean (average) of the data set.

Find the absolute difference between each data point and the mean.

Calculate the mean of these absolute differences.

Given data set: 60, 105, 80, 125, 140, 95, 65, 170

Step 1:

Calculate the mean

Mean = (60 + 105 + 80 + 125 + 140 + 95 + 65 + 170) / 8

Mean = 840 / 8

Mean = 105

Step 2:

Find the absolute difference between each data point and the mean

|60 - 105| = 45

|105 - 105| = 0

|80 - 105| = 25

|125 - 105| = 20

|140 - 105| = 35

|95 - 105| = 10

|65 - 105| = 40

|170 - 105| = 65

Step 3:

Calculate the mean of the absolute differences

MAD = (45 + 0 + 25 + 20 + 35 + 10 + 40 + 65) / 8

MAD = 240 / 8

MAD = 30

The mean absolute deviation of the given data set is 30.

Interpretation:

The mean absolute deviation represents the average amount by which each data point deviates from the mean. In this case, the MAD of 30 indicates that, on average, the data points in the set deviate from the mean by approximately 30 units.

To learn more about mean absolute deviation, refer:

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Answer:

1)  14

2) -8

Step-by-step explanation:

-2 × (-7) = 14

24 ÷ (-3) = -8

Answer: No

Step-by-step explanation:

Because Mode is not the best centre of tendency use for statistical data. And mode cannot be used for average.

Mean should be used for average values

Answer:

da ba dee da ba doo im blue

Step-by-step explanation:

Grace made a dot plot showing the distances she ran each day for two weeks.

She says that she usually runs 7 miles each day because that is the distance that occurs most often.

Do you agree with Grace’s reasoning?

Use the drop-down menus to explain and show your answer.

Dot plot named as ALTDCDistances RunALTDC has number line from 1 to 7. 1 dot on 1, 3 dots on 2, 3 dots on 3, 3 dots on 4 and 4 dots on 7 are given.

The mode, which is (3,4, or 7) ,(is or is not) a typical distance for the data. The median, which is (3.5,4, or 7),(is or is not) a typical distance for the data. The mean, which is (3,4, or 7) ,(is or is not) a typical distance for the data. So, Grace’s reasoning(is or is not ) correct.

Answer:4 words per minute.

Step-by-step explanation:32 divided by 8 is 4.

Answer:

sqrt3 or about 1.7

Step-by-step explanation:

length^2 + Width^2 + Height^2 = Diagonal^2

so 1 + 1 + 1 = 3, which when square rooted equals

sqrt3 or about 1.7

Answer:

b

Step-by-step explanation:

edg

Answer:

[tex] 94.2 -0.994*3.1 = 91.1186[/tex]

[tex] 94.2 +0.994*3.1 = 97.2814[/tex]

And the 68% confidence interval is given by (91.1186, 97.2814)

Step-by-step explanation:

For this case we know that mean time that visitors stay at a museum is given by:

[tex] \bar X = 94.2 [/tex]

The standard deviation is given by:

[tex] s= 15.5[/tex]

And the standard error is given by:

[tex] SE = \frac{s}{\sqrt{n}} =3.1 [/tex]

And we want to interval captures 68% of the means for random samples of 25 scores and for this case the critical value can be founded like this using the normal standard distribution or excel:

[tex] z_{\alpha/2}= \pm 0.994[/tex]

We can find the interval like this:

[tex] \bar X \pm ME[/tex]

And replacing we got:

[tex] 94.2 -0.994*3.1 = 91.1186[/tex]

[tex] 94.2 +0.994*3.1 = 97.2814[/tex]

And the 68% confidence interval is given by (91.1186, 97.2814)

Answer 5 ft 4 in

Step-by-step explanation:

2 1/2 + 2 1/2=5 + 4 inches

Answer:

She would have $1,126.16 in 3 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question:

Invested 1000, which means that [tex]P = 1000[/tex].

Interest of 4%, so [tex]r = 0.04[/tex]

Semianually is twice a year, so [tex]n = 2[/tex]

How much money would she have in 3 years?

This is A(3).

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

[tex]A(3) = 1000(1 + \frac{0.04}{2})^{6} = 1,126.16[/tex]

She would have $1,126.16 in 3 years.

Answer:

1

Step-by-step explanation:

-2x+9y=15

x+7=4 ​

Solve for X.

x +7=4

   -7.  -7

x = -3

Plug in X into the first equation

-2(-3) + 9y = 15

6 + 9y = 15

-6.           -6

9y = 9

Divide by 9 on both sides

9/9=1

Answer:

x = -3. | y = 1. | (-3,1)

Step-by-step explanation:

-2x+9y=15

x+7=4

-7. -7

x= -3

-2(-3) + 9y =15

6 + 9y= 15

-6. -6

9y = 9

÷9. ÷9

y = 1

Answer:

10.8

Step-by-step explanation:

5 times what gives 6? 5 times 1.2

So now you just do 9 times 1.2 which is 10.8

Answer:

10.8

Step-by-step explanation:

5*x=6

5*1.2=6

9*1.2=r

r=10.8

Answer:

complicated process just think and do the math If I was helpful pls be thnked

Step-by-step explanation:

Answer:

-102

Step-by-step explanation:

Answer:

1 and 4

Step-by-step explanation:

Answer:

[tex]a_{n}=3^{n}[/tex]

Step-by-step explanation:

We can start solving this problem by making a list of the number of chain emails that are sent on each round:

Round one:

[tex]a_{1}=3[/tex]

which represents the three friends you send the mail to.

Round two:

[tex]a_{2}=3*3=9[/tex]

since each of your friends sends the mail to another three friends, then we multiply the original 3 friends by 3 to get a total of 9.

Round three:

[tex]a_{3}=3*3*3=9*3=27[/tex]

on the next round we multiply the previous 9 persons by 3 mails each giving us a total of 27 persons receiving the mail. A patter starts showing here. Notice that for each round we need to take the previous round number an multiply it by 3. When we have a number being multiplied by itself n times, we rewrite it as a power, so the expression for the nth term will be:

[tex]a_{n}=3^{n}[/tex]

which is our final answer.

Answer:

1/12 my guy

Step-by-step explanation:

There really isn't one

Answer:

Would be 0.08333 or 1/12

Step-by-step explanation:

Answer:

The correct option is;

[tex]\frac{1}{\pi }[/tex]

Step-by-step explanation:

Here we have that

[tex]Probability = \frac{Number \, of \, required\, outcomes}{Number \, of \, possible\ outcomes} = \frac{Dimension \, of \, the \, line}{Size \, of \, the \ needle} = \frac{l \times D}{\pi \times D \times l } = \frac{1}{\pi }[/tex]

Therefore, the probability that the needle will cut the line = 1/π.

Answer:

-9x + x = 17 – 1  

8x = 16

X = 16/8  

X=2

there is no flow chart

Answer:

WHAT FLOWCHART?

Step-by-step explanation:

Answer:

Area of Shaded Region = (25π - 24) cm²

Step-by-step explanation:

See attachment

From the attached, the following observations are made;

Radius, r = 5cm

Base of triangles = 6cm.

Required

Area of shaded region.

If the distance between the base of the triangle to the outline of the circle is 1cm then the height of the triangle is 1cm less than the radius

Height = 5cm - 1cm

Height = 4cm

To calculate the area of the shaded region, we first calculate the area of the circle.

Area = πr²

Substitute 5 for r

Area = π * 5²

Area = π * 25

Area = 25π cm²

Then we calculate the area of both triangles

Area of 1 triangle is calculated as follows.

Area = ½ * base * height

Substitute 4 for height and 6 for base.

Area = ½ * 4 * 6

Area = 2 * 6

Area = 12cm²

Since both triangles are equal.

Area of two triangles = 2 * Area of 1 triangle

Area = 2 * 12cm²

Area = 24cm²

Having calculated the area of the circle and that of both triangles.

Area of shaded region = Area of Circle - Area of Triangles

Area of Shaded Region = 25π cm² - 24 cm²

Area of Shaded Region = (25π - 24) cm²

Answer:

The third one

Step-by-step explanation:

Answer: 1/5

Step-by-step explanation:

From the question, there are ten dogs at the dog park on a busy Saturday and two of the dogs are Corgis. The probability that a randomly selected dog is a Corgi will be the number of Corgis divided by the total number of dogs. This will be:

Probability (Corgi) = Number of Corgis/total number of dogs.

Probability (Corgi) = 2/10

= 1/5

Answer:

523 cm^3

Step-by-step explanation:

The volume of a sphere  is

V = 4/3 pi r^3

V = 4/3 (3.14) (5)^3

V = 523.33333

Rounding to the nearest whole number

V = 523

Answer:

5x-(9x+14)=−4x−14

3(x+10)-2=3x+28

So, 3(x+10)-2 is greater than 5x-(9x+14)

Answer: $2936.27

Step-by-step explanation:

Present value = $1663

Rate = 5.5%

Time(n) = 19years

Future value= PV(1+r)^n

= 1663(1+5.5%)^19

= 1663(1.055)^19

=1663 × 2.766

=4599.86

Interest = Future value - Present value

= $4599 - $1663

= 2936

Remember: volume=length x width x height

So  i think its 15, 15, and neither of them have greater volume.

Answer:

4th option: 1953.08 mm

Step-by-step explanation:

circumference of circle= [tex]\pi d[/tex]

Thus, circumference of wheel

[tex] = 3.14(622) \\ = 1953.08mm[/tex]

Answer:

D.

Step-by-step explanation:

Answer:

Arc EPF is 240°

Step-by-step explanation:

Since the quadrilateral, EFGH is a trapezoid and EF is parallel to GH, we have;

∠HGF + ∠GFE = 180°

∠GHE + ∠GFE = 180°

∠HGF + ∠HEF = 180°

∴∠HEF = ∠GFE

In ΔHEF and ΔGFE

∠EHF = ∠EGF (Angles subtending the same segment)

With side EF common to both triangles and ∠HEF = ∠GFE , we have;

ΔHEF ≅ ΔGFE (Angle Angle Side rule)

Hence, side FG = EH

For cyclic trapezoid side FG = EH

The base angles subtended by GH = 70

Arc EH = x² - 2·x

Arc FG = 56 - 3·x

Therefore;

70 + x² - 2·x + 56 - 3·x + arc EPF = 360 .............(1)

Also since the equation of a circle is (x-h)² + (y-k)² = r², where the center of the circle is (h, k), then as EF is a displacement of say z from GH, then arc EH = FG which gives;

x² - 2·x = 56 - 3·x

x² - 2·x - 56 + 3·x = 0

x² + x - 56 = 0

(x - 7)(x + 8) = 0

Therefore, since x > 0 we have x = 7

Plugging in the value of x into the equation (1), we have

70 + 7² - 2·7 + 56 - 3·7 + arc EPF = 360 .............(1)

70 + 70 + arc EPF = 360

arc EPF = 360 - 140 = 240°.

Answer:

C

Step-by-step explanation:

-

Answer:

yes

Step-by-step explanation:

Answer:

0.067 gallons ( to 2 decimal places)

Step-by-step explanation:

First, note that since the same amount of vinegar was used in each container, it means that the 1 gallon of vinegar was divided equally to the 15 containers, hence the amount of vinegar used in each dye container is calculated as follows:

total volume of vinegar = 1

number of egg dye containers = 15

if equal volume of vinegar was used in each container:

volume of vinegar in each egg dye container = 1 ÷ 15 = 0.067 gallons ( to 2 decimal places)

Answer:13.8 is the best answer i could get

Step-by-step explanation:1,077 multiply that × 13.8 =14,862