Simplify the expression to a polynomial in standard form:

(3x+5)(2x^2+x+5)

Answer:

x=4/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Determining Median is super easy!

1. Order the numbers, in ascending order.

8, 11, 11, 12, 13, 15, 16, 16, 18, 21

2. Cross off one number from both ends until you reach the middle number, whether you're left with one or two.

11, 11, 12, 13, 15, 16, 16, 18

11, 12, 13, 15, 16, 16

12, 13, 15, 16

13, 15

3. Determine the average of these two numbers.

(13 + 15) / 2

28 / 2

14

The median for this set of data is 14.

P.S. the average only needs to be calculated when left with two numbers, if you are left with only one, that number is your answer!

Hope this helps :)

Answer:

The median of the following numbers is 14

Step-by-step explanation:

Answer:

Step-by-step explanation:

The function is

f(y) = (y + 2)³ + 1

Answer:

478.32

Step-by-step explanation:

1) the basic formula is:

[tex]A=A_{base}+A_{sidesurface}.[/tex]

2) the Area of the base consists of 6 triangles, they are the same. In one triangle: its base is 8 cm., the height is 6.93 cm, - then the Area of one triangle is 0.5*8*6.93=27.72 (cm²);

[tex]A_{base}=6*27.72=166.32(cm^2).[/tex]

3) the Area of the side surface consists of 6 triangles, they are the same. In one triangle: its base is 8 cm., the height is 13 cm, - then the Area of one triangle is 0.5*13*8=52 (cm.²);

[tex]A_{sidesurface}=6*52=312(cm.^2).[/tex]

4) finally, the required Area:

[tex]Area=A_{base}+A_{sidesurface}=166.32+312=478.32(cm.^2).[/tex]

Answer:

x = 18

Step-by-step explanation:

The line joining 2 midpoints of the non parallel sides of a trapezoid is 1/2 the sum of the two parallel lines.

Put in much simpler language XY = 1/2 (BC + AD)

4x - 2 = 1/2 (6x + 1 + x)                         Combine the right

4x - 2 = 1/2 (7x + 1)                               Multiply by 2

8x - 4 = 7x + 1                                       Add 4 to both sides

8x = 7x + 5                                           Subtract 7x

x = 5

But what you want is the length of XY

XY = 4x - 2 = 4*5 - 2 = 18

Sorry I noticed too late that I used x for s. The answer would still be 18.

Answer:

it will be c because you see the points on the grid if its wrong my bad

Step-by-step explanation:

Answer:

ADD MORE POINTS THEN WE CAN TALK HUN THANK ME LATER HUN FOU

Step-by-step explanation:

Answer:

x = fifteen

Step-by-step explanation:

no explanation i know the answer

Step-by-step explanation:

4^3=4×4×4=64 is answer

Answer:

[tex]4^{3}[/tex]

Step-by-step explanation:

Its in exponential form already the exponent is 3.

4 × 4 × 4 (standard form)

And then the actual answer will be 64....4 × 4 × 4 = 16 × 4 = 64

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

A.

Step-by-step explanation:

If the temperature was -3°F at first, but had decreased 15°F degrees by 5:00pm, it would be -18°F.

-3 - 15 = -18

Correct me if I end up being wrong.

Answer:0.48

Step-by-step explanation:

Answer:

0.48

Step-by-step explanation:

1.5 = 1 + 0.5

1.5 x 0.32 = 1 x 0.32 + 0.5 x 0.32

= 0.32 + 0.16

= 0.48

Answer:

The smallest number of chocolates in the box is 124.

Step-by-step explanation:

There are always 4 bars of chocolates left in the box when they are share equally among 8, 10, or 12 children.

This means that the smallest number of chocolates in the box is 4 added to the least common multiple of 8, 10 and 12.

LCM(8,10,12).

We factore them by prime factors until all are 1. So

8 - 10 - 12|2

4 - 5 - 6|2

2 - 5 - 3|2

1 - 5 - 3|3

1 - 5 - 1|5

1 - 1 - 1

So

lcm(8,10,12) = 2*2*2*3*5 = 8*15 = 120

Adding 4: 120 + 4 = 124

The smallest number of chocolates in the box is 124.

Answer:

Step-by-step explanation:

Question 1

Question 2

Question 3  

Question 4  

Question 5  

Question 6

Question 7

Question 8

Question 9  

Question 10

Answer:

wrong

Step-by-step explanation:

-5x + 3y, you can’t add those together since they aren’t like numbers

3x - 7y, can’t be done either since again, they aren’t like numbers.

like numbers include the same variable or no variable, which means you cant do -5x + 3y but you can to -5x + 3x. you can add those together since both of the numbers have the variable “x” while 3y and 7y have the same variable “y” therefore those can be added together.

since there isn’t a way to add those, both of those answers are not only wrong, but they’re also in simplest form.

9514 1404 393

Answer:

  (5, 8)

Step-by-step explanation:

The circumcenter of a right triangle is the midpoint of the hypotenuse.

  O = (A +C)/2

  O = ((2, 6) +(8, 10))/2 = (2+8, 6+10)/2

  O = (5, 8)

The circumcenter is (5, 8).

Answer:

3= 25 4= 20 25= 5

Step-by-step explanation:

its a pattern. the top goes up by ones and the bottom goes up by fives.

Answer:..................................................................

Answer:

0.5675 = 56.75% probability that the difference in mean weight of the samples is greater than fifteen pounds.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal variables:

When we subtract two normal variables, the mean of the subtraction distribution is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Scotts American Bulldog males have weights that are normally distributed with a mean of 85 pounds and a standard deviation of 14.6 pounds.

This means that [tex]\mu = 85, \sigma = 14.6[/tex]

Sample of 9 male bulldogs:

By the Central Limit Theorem:

[tex]n = 9, \mu_M = 85, s_M = \frac{14.6}{\sqrt{9}} = 4.8667[/tex]

Female American Bulldog have weights that are normally distributed with a mean of 69 pounds and a standard deviation of 8.8 pounds.

This means that [tex]\mu = 69, \sigma = 8.8[/tex]

Sample of 8 female bulldogs:

By the Central Limit Theorem:

[tex]n = 8, \mu_F = 69, s_F = \frac{8.8}{\sqrt{8}} = 3.1113[/tex]

Subtraction of Male by Female:

[tex]\mu_S = \mu_M - \mu_F = 85 - 69 = 16[/tex]

[tex]s_S = \sqrt{s_M^2+s_F^2} = \sqrt{4.8667^2+3.1113^2} = 5.7762[/tex]

What is the probability that the difference in mean weight of the samples (Male - Female) is greater than fifteen pounds?

This is 1 subtracted by the pvalue of Z when X = 15. So

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

With our distribution(subtraction)

[tex]Z = \frac{X - \mu_S}{s_S}[/tex]

[tex]Z = \frac{15-16}{5.7762}[/tex]

[tex]Z = -0.17[/tex]

[tex]Z = -0.17[/tex] has a pvalue of 0.4325

1 - 0.4325 = 0.5675

0.5675 = 56.75% probability that the difference in mean weight of the samples is greater than fifteen pounds.

Answer:

1/20

Step-by-step explanation:

1/5 chance she will wear the blue shirt on the first day and 1/4 chance she will wear a grey shirt on the second day.

1/5 X 1/4 = 1/20

Answer:

i got 1/20 as my answer

Answer:

£824

Step-by-step explanation:

3% of 800 + 800

1% = ÷100

800 ÷ 100 = 8

8×3=3%=24

800 +24 =£824

Answer:

16.

Step-by-step explanation:

The whole numbers stay the same so it stays as 2. The way they get 30 for the denominator is by multiplying the fraction 1/3 by 10 and 1/5 by 6. So now we have 10/30 and 6/30. Add them together, 10+6=16

Answer:

5. b  6. c  7. d  8. a

Step-by-step explanation:

Answer:

you'd get the expression 6.37+7.8k

Answer:

Third from the top, a=

[tex]3 \frac{1}{3} [/tex]

Answer:

a = 3 1/3

Step-by-step explanation:

We first separate the whole numbers from the fractions

So first we do

5 + 3 = 8

Then we add the fractions together

1/3 + 2/3 = 1

Then, we add the sum of the whole numbers and of the fractions

8 + 1 = 9

Thus, a = 3 1/3

WRITE IT IN STANDARD FORM

3x+(-2+4x)

Add 3x and 4x.

Answer:

Hope It helps

Answer:

k= -29

Step-by-step explanation:

Answer:

Step-by-step explanation:   Turn this into an equation for every 3 dogs there is 1 staff...

Part 2  around 57 staff bec for every 3 dog there is 1 staff so 19* 1 = 19