The sum of two number is 65 and their difference is 5.Set up and solve a system of equations to find the two number.Show work

Answer:

           6, 7, 8 are correct

Step-by-step explanation:

[tex]XV=\dfrac{RS+TU}2\\\\\\44=\dfrac{30+TU}2\\\\44\cdot2=30+TU\\\\88-30=TU\\\\TU=58[/tex]

9514 1404 393

Answer:

  A. exponential; constant % rate of change

Step-by-step explanation:

Each round has 50% of the players of the previous round, so the rate of change is a constant percentage. That makes the function a decaying exponential function, matching choice A.

Answer:

x = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Since you cannot subtract -1 from 4x, you multiply 2 × 4x = 8x

Now, you have 8x - 1 + 3 = 7

Seperate the 8x from the other numbers

8x = 1 - 3 + 7 ---> 6

8x = 6

Now simplify

x = [tex]\frac{6}{8}[/tex]  <----- to reduce, divide the numerator and denominator by 2

Hence,

x =  [tex]\frac{3}{4}[/tex]

Answer:

36

Step-by-step explanation:

ik it bc im smart

Answer:

If the question has

What are the mean and standard deviation of the sampling distribution of the difference in sample means x¯F−x¯M ?

It is E

Step-by-step explanation:

AP classroom uses the example with different end questions.

The mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.

Suppose that a random variable X is formed by n mutually independent and normally distributed random variables such that:

[tex]X_i = N(\mu_i , \sigma^2_i) ; \: i = 1,2, \cdots, n[/tex]

And if

[tex]X = X_1 + X_2 + \cdots + X_n[/tex]

Then, its distribution is given as:

[tex]X \sim N(\mu_1 + \mu_2 + \cdots + \mu_n, \: \: \sigma^2_1 + \sigma^2_2 + \cdots + \sigma^2_n)[/tex]

For this case, it is given that:

Estimated sample mean  = population mean

Estimated sample standard deviation = population std. dev / √n

where n = sample size

Thus, we get:

For sample of females, the distribution is [tex]X_F \sim N(\overline{x}_F = 8.8, s_F = 3.3/\sqrt{8})[/tex]
For sample of males, the distribution is [tex]X_M \sim N(\overline{x}_M =7.3, s_M = 2.9/\sqrt{8})[/tex]

Also, if we take distribution of difference between sample means([tex]X_F - X_M = X_F + (-X_M)[/tex], then it would be normal with mean = 8.8-7.3 = 1.5 minutes (as mean for [tex]-X_F[/tex] will be -7.3 but same standard deviation) as factor gets squared for affecting standard deviation and variance)

and standard deviation is: [tex]s = \sqrt{s_F^2 + s_M^2} = \sqrt{3.3^2/8 + 2.9^2/8} \approx 1.553 \: \rm minutes[/tex]

The distribution of difference between sample means is [tex]X_F - X_M \sim N(\overline{x} = 1.5, s = 1.533)[/tex] approximately

We need [tex]P(X_F - X_M < 0)[/tex]

Converting this distribution to standard normal distribution, we get:

[tex]P(X_F - X_M < 0) = P(Z < \dfrac{0 - \overline{x}}{s} \approx -1.98)[/tex]

From the z-tables, we get the p value for Z = -1.98 as 0.0239

Thus, we get:

[tex]P(X_F - X_M < 0) = P(Z < \dfrac{0 - \overline{x}}{s} \approx -1.98) \approx 0.0239[/tex]

Thus, the mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.

Learn more about standard normal distribution here:

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Answer:

111,200,204,210,211

Step-by-step explanation:

Answer:

This is complematry and x=7

Step-by-step explanation:its complematry because they both add up to make 90 degree angle right angle

8+5=13

90-13=77

3x+8x=11x

77 divided by 11x =7x

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Answer:

100 cal

Step-by-step explanation:

it says 100 calories on the top left

Answer:

4/7  4 by 12

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

because real number values of x are not the same

Answer:

Shortest side = 7 inches.

Medium side = 9 inches.

Longest side = 10 inches.

Step-by-step explanation:

Let the shortest side be x.

Translating the word problem into an algebraic equation, we have;

Shortest side = x

Medium side = x + 2

Longest side = x + 3

The perimeter of a triangle is given by the addition of all its three (3) sides.

Mathematically, the perimeter of a triangle is given by the formula;

[tex] P = A + B + C [/tex]

Substituting into the equation, we have;

26 = x + x + 2 + x + 3

26 = 3x + 5

3x = 26 - 5

3x = 21

x = 21/3

x = 7 inches.

Therefore, the length of the three sides are;

Shortest side = x = 7 inches.

Medium side = x + 2 = 7 + 2 = 9 inches.

Longest side = x + 3 = 7 + 3 = 10 inches.

The baseball card be worth in 30 years is: $159212.14

We have the following information available from the question is:

A rare baseball card just sold for $12,000

This baseball card to increase in value by 9%

each decade.

The principal = $12,000

Rate of interest (r) =9%

Time period (t) = 30 years

The number of times per year the interest is compounded (n) = 1

We know the formula is:

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

Plug all the values, we get:

[tex]=12000(1+\frac{\frac{9}{100} }{1} )^3^0[/tex]

Then, Evaluate the equation/expression:

=> $159212.14

Learn more about Compound interest at:

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Answer:

4 and 3/4 YOU GOT THIS!!

Step-by-step explanation:

Answer:

I believe the answer would be 1/2 a centimeter per week, hope this helps

?

Step-by-step explanation:

what's the question??

Answer:

y=2x-4

Step-by-step explanation:

sorry if I get this wrong I'm slowly understanding slope intercept form

80 + 35 = 115

180 - 115 = 65

the answer is 65

Answer:

32 aces

Step-by-step explanation:

4/20= x/160

once you set up this proportion you can cross multiple to get:

20x= 640

then just solve for x:

x= 32

Answer:

the answer is 4

Step-by-step explanation:i hope im right sry if im not

Answer:

264 cubic cm

Step-by-step explanation:

(8x5x5)+(8x8x1)

(200)+(64)

Volume = 264 cubic cm

Answer:

B

Step-by-step explanation:

Answer:

Answer is B

Step-by-step explanation:

took the test edg2021

Answer:A

Step-by-step explanation:

Answer:

common ratio =24/4

common ratio=6

G7=4x(6)^6

G7=186624

Answer:

1) y = - 3 and x = 3

2) x = 9/2 and y = 9

Step-by-step explanation:

Substitute x= 0 to find y and y=0 to find x

Answer:

B. I think

Step-by-step explanation:

1.50 times 86 equals 129 witch would mean Diana bought 86 sodas

8 is equal to 1 pizza so Dianna could have bought 1 pizza

86>1

8+129 is 137 so I think the answer is B.

Answer:

1 1/2 times more

Step-by-step explanation:

6.75 ÷ 4.5 = 1.5

Answer:

55x + 148/24

Explanation:

Answer:

x= 2/3

Step-by-step explanation:

if they are equating,

10x +38 = 40+7x

10x-7x = 40-38

3x = 2

x= 2/3

Answer:

x = 0.6666666667

Step-by-step explanation:

Simplifying

10x + 38 = 40 + 7x

Reorder the terms:

38 + 10x = 40 + 7x

Solving

38 + 10x = 40 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

38 + 10x + -7x = 40 + 7x + -7x

Combine like terms: 10x + -7x = 3x

38 + 3x = 40 + 7x + -7x

Combine like terms: 7x + -7x = 0

38 + 3x = 40 + 0

38 + 3x = 40

Add '-38' to each side of the equation.

38 + -38 + 3x = 40 + -38

Combine like terms: 38 + -38 = 0

0 + 3x = 40 + -38

3x = 40 + -38

Combine like terms: 40 + -38 = 2

3x = 2

Divide each side by '3'.

x = 0.6666666667

Simplifying

x = 0.6666666667