Work out the surface area of this cylinder.
8 cm
+
16.8 cm

Answer:

25 - 5a

Step-by-step explanation:

5(5 - a)

25 - 5a

Hope this helps, thank you !!

Answer:

-10g +24 + 5 hope this helps

Step-by-step explanation:

1-2g+20h

You have to cancel out the factors

Following order of operations:

3^2 = 9

(10-2) = 8

Now you have :

9 + 8 x 5 -4

Multiplication is next:

9 + 40 -4

Now just add and subtract from left to right:

9 + 40 = 49

49-4 = 45

The answer is 45

Step-by-step explanation:

So first you solve whats inside of the parenthesis 10 -2 aand get 8 then you figure 3^2 which is 9 then multiplie 8 times 5 and get 40. 9 + 40 - 4 is what it is so far then add 9 to 40 which is 49 then subtract 4 and get 45!

Answer:

B one solution

Step-by-step explanation:

3x + 1/3y=12

2y=18x+72; y = 18x/2 +72/2; y =9x+36

3x + 1/3y=12

multiply all through by 3

9x + y = 36

9x + 9x+36 = 36

18x =36-36= 0

x= 0/18 = 0

y =9x+36

y = 9(0) +36 = 0+36= 36

Answer:

A. y=x+4

Step-by-step explanation:

I used Desmos to graph all the information and the black line (which is A) goes through all the points. See picture

Answer:

Tenths

Hope this helps :)

Answer:

tenths

Step-by-step explanation:

Answer:

46.6 inches in 5 years

Step-by-step explanation:

Answer: 46.6 inches in five years

Step-by-step explanation:

SO you wanna multiply 7.9 by 5 to get your grand total

Answer:

1352 cm

Step-by-step explanation:

Length (l) = 13 cm

Width (w) = 52 cm

Perimeter of the rectangle = 2(l + w) units

P = 2(13 + 8)

P = 2 (21)

P = 42

Thus, the perimeter of the rectangle is 42 cm.

Example 2: If a rectangle's length is 2x + 1 and its width is 2x – 1. If its area is 15 cm2, what are the rectangle's dimensions and what is its perimeter?

Solution:

We know that the dimensions of the rectangle in terms of x:

l = 2x + 1

w = 2x – 1

Since the area of a rectangle is given by:

A = l * w

We can substitute the expressions for length and width into the equation for area in order to determine the value of x.

A = l * w

15 = (2x + 1) (2x -1)

15 = 4x2 – 1

16 = 4x2

x = ±2

Note that the value of x must be positive and therefore in our case, the value of x is 2. And now we have:

l = 11 cm

w = 52 cm

Therefore, the dimensions are 5cm and 3cm.

Now, substituting these values in the formula for perimeter, we will get

P = 2l + 2w

P = 2(5)+2(3)

P = 10+6

P = 16 cm

(a) List all the possible outcomes

A dice has 6 sides, ranging from numbers 1 to 6.

As such, the possible outcome for 1 dice is 1, 2, 3, 4, 5 and 6.

Since 2 dice are used, the possible outcome increases, ranging from 2 to 12.

Working:

1 + 1 = 2 (MIN)

6 + 6 = 12 (MAX)

Therefore, the possible outcomes is from 2 to 12.

(b) Find the probability of getting an even number as a score

Total number of score = 11

Total number of even score = 6

P (even number) = 6 / 11

I believe this should be the correct answer... seems logical to me. HAHA. Anyway, do let me know if I am correct or have any queries :)

Answer:

The independent variable is the number of cars

the band washes and the dependent is the number of money they earn

Step-by-step explanation:

Answer:

64

2×32=64............

Answer:

y = -2x + 8

Step-by-step explanation:

(−6, 20) and (0, 8)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(8 - 20) / (0 - (-6))

Simplify the parentheses.

= (-12) / (6)

Simplify the fraction.

-12/6

= -2

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -2x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 8). Plug in the x and y values into the x and y of the standard equation.

8 = -2(0) + b

To find b, multiply the slope and the input of x(0)

8 = 0 + b

b = 8

Plug this into your standard equation.

y = -2x + 8

This is your equation.

Check this by plugging in the other point you have not checked yet (-6, 20).

y = -2x + 8

20 = -2(-6) + 8

20 = 12 + 8

20 = 20

Your equation is correct.

Hope this helps!

Step-by-step explanation:

........understood..............

Answer: m=18

Step-by-step explanation:

Answer:

my names jeff

Step-by-step explanation:

Answer:

Step-by-step explanation:

So its a rectangle which means it has 4 sides

two of the sides are x feet long

and two of them are 2x -3 feet long

we also know that all of the sides together are 48 feet long

so the equation would look like

2(x)+2(2x-3)=48

or x+x+2x-3+2x-3=48

It doesn't matter which one you use because they both simplify to

6x-6=48

add 6 to both sides

6x=54

divide both sides by 4

x=9

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:

I think the answer is 50.

Step-by-step explanation:

Y + S = 90

S = 4 (Y) - 160

160 = 4 (Y)

Y = 40

90 - 40 = 50

Hope it's correct and helps!

Answer:

They are not

Step-by-step explanation:

4/5 cannot be simplified, plus 1/2 indicates half of a fraction but 4/5 is not half if a fraction, therefore they are not equivalent.

Answer:

Equals 2.2

Step-by-step explanation:

hope it's useful

Answer:

I don't know what your asking but if its simplifying then its 7(7w+3)

Step-by-step explanation:

Answer:

3. All you did was switch the numbers, so it will still equal the same :)

4. 8a and the other 8a cancel each other out, so since 8 has no variables, it ends up by itself.

Answer:

length of buyers driving record

Step-by-step explanation:

it just is because the driving record has nothing to do with monthly payments

Answer:

y = -2x + 5

Step-by-step explanation:

Recall that slope-intercept form is y = mx + b where m is the slope and b is the y intercept

In this case our slope is m = -2

and, line crosses y-axis at 5 which is b = 5

thus, y = -2x + 5

Answer:

[tex]24ft^{2}[/tex]

Step-by-step explanation:

If you break the shapes into two sections you get

2 × 4 = 8 & 8 × 2 = 16

16 + 8 = 24

good luck, i hope this helps :)

Step-by-step explanation:

y=-6x+2

y=-6x+2 since both are equal, it can have infinite solutions

Answer:

the number is 18

Step-by-step explanation:

25% of 12 is 3

1*x/6*1

x is the unknown number

x/6=3

6*3=x

x=18

Step-by-step explanation:

log x = 1 + a

a = log x - 1

log y = 1 - a

a = 1 - log y

So

log x - 1 = 1 - log y

log x + log y = 2

log (xy) = 2

xy = 100

Answer:

23.09 w/ 3 dollar shipping is more.

Step-by-step explanation:

20.29 + 4 = 24.29

23.09 + 3 = 26.09

hope this helps :)

Answer:

23.09 dollars and 3 dollar shipping is more than 20.29 with 4 dollar shipping

Step-by-step explanation:

if you add the shipping and price together 23.09 dollars and 3 dollar shipping is 26.09 in total

And the 20.29 with 4 dollar shipping is 24.29 in total

and 26.09 is greater than 24.29, so 23.09 dollars and 3 dollar shipping is more than 20.29 with 4 dollar shipping

Answer:

7-y=-3(6-x)

Step-by-step explanation:

Point slope form:

Substitute y in for 7. Substitute x in for 6. Substitute m in for -3.