Solve for x and y in the equation.
xy=80 and log x - 2 log y =1

Answer:

A) SE = 0.1118

B) 95% Confidence interval is;

-2.22 < μ1 - μ2 < -1.78

Step-by-step explanation:

We are given;

Sample size; n = 60

Sample mean 1; x1 = 8

Sample mean 2; x2 = 10

Variance 1; v1 = 0.25

Variance 2; V2 = 0.5

Now,

Standard deviation is given by the formula ;

σ = √variance

Thus;

σ1 = √0.25

σ1 = 0.5

σ2 = √0.5

σ2 = 0.7071

Formula for standard error of mean is;

SE = σ/√n

Thus;

SE1 = 0.5/√60

SE1 = 0.06455

SE2 = 0.7071/√60

SE2 = 0.0913

The standard error of the difference between their mean scores would be;

SE = √[(SE1)² + (SE2)²]

SE = √(0.06455² + 0.0913²)

SE = 0.1118

Formula for 95% confidence interval is;

(x1 - x2) - ((Z_α/2) × SE) < μ1 - μ2 < (x1 - x2) + ((Z_α/2) × SE)

Where Z_α/2 is the critical value. At confidence interval of 95%, we have a critical value of 1.96 from tables.

Thus, plugging in the relevant values, we have;

(8 - 10) - (1.96 × 0.1118) < μ1 - μ2 < (8 - 10) + (1.96 × 0.1118)

-2.22 < μ1 - μ2 < -1.78

9514 1404 393

Answer:

  a = {1, 2, 3}, b = (2, 4, 7}, c = (-3/14, -3/7, 5/14}

Step-by-step explanation:

For the above vectors, ...

  a × b = a × c = (2, -1, 0)

__

Here, c is found to be a scaled version of (a×(a×b)).

Answer:

f(g(x))=6x-8

Step-by-step explanation:

To keep it simple lets say if , for example

[tex]f(x)=2x-4[/tex]

then f(2) would be what?

[tex]f(2)=2(2)-4\\f(2)=0[/tex]

which means we plugged in x=2 in our f(x) this goes for same as the composite function [tex]f(g(x))[/tex] where we plug in g(x) in f(x) and replace x with g(x). I'll show you

[tex]f(x)=2x-4\\g(x)=-3x+2\\[/tex]

now we insert g(x) in f(x) cause we need f(g(x)) which means we replace x with the function g(x).

[tex]f(g(x))=-2(-3x+2)-4[/tex]

[tex]f(g(x))=6x-4-4\\f(g(x))=6x-8[/tex]

so that is our final answer.

Hope i helped

Answer:

bro i need a picture

Step-by-step explanation:

i will solve if u give me brainliest.

8 + 24 = 32 feet long

Area = length x width

384 = 32 x width

Width = 384/32

Width = 12 feet

Answer: The room is 12 feet wide.

Step-by-step explanation: 8+24= the total length of the room. The area of anything divided by either the width or the length always gives you the missing measurement. So, 8+24=32. 384/32=12. You can check any answer you get doing one operation by taking the information you get and preforming the inverse (opposite) operation. Since the opposite of division is multiplication, all you have to do to check your answer is this: 32*12=384.

Answer: a+(2a - 7) = 41

Step-by-step explanation:

Let be "a" the Nicci's age and "s" the Nicci's sister.

You know that the sum of Nicci's age and her sister's age is 41. This can be represented with the following equation

Answer:

I'd say 50

Step-by-step explanation:

I just divided 150 by 3 since I only saw 3 toppings.

Answer:

Negative numbers cannot have square roots.

Step-by-step explanation:

Anything multiplied by itself will always equal a positive number, not negative.

Answer:

D

Step-by-step explanation:

Its d Reason is if she has 5 and he has 10 he has twice as much

Answer:

(1,-4)

Step-by-step explanation:

If you reflect it over the x it would equal (-1,-4), then if you reflect it over the y it would equal (1,-4)

Answer: The answer I believe is 4

Answer:

vz

Step-by-step explanation:

The requried function that represents Silvi's final cost for an item with an original price of x dollars is c(x) = 1.06x - 5.3.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Let's break down the problem into steps to determine the function that represents Silvi's final cost:

Apply the $5 discount to the original price x:

New price = x - 5

Calculate the amount of sales tax on the discounted price:

Sales tax = 0.06 * (x - 5)

Add the sales tax to the discounted price to get the final cost:

Final cost = (x - 5) + 0.06 * (x - 5)

Simplifying this expression, we get:

Final cost = 1.06x - 5.3

Therefore, the function that represents Silvi's final cost for an item with an original price of x dollars is c(x) = 1.06x - 5.3.

Learn more about function here:

brainly.com/question/21145944

#SPJ3

Answer:

You cant make this..

Step-by-step explanation:

Answer:

Three.

Step-by-step explanation:

An analyst wants to include Level of Education in a regression model.

Level of Education has 4 possible values - HS, BS, MS, PHD

How many dummy variables must the analyst add to the regression model, in order to account for the variable LEVEL OF EDUCATION?

Since LOE has 4 possible values, (4 - 1 = 3) dummy variables will be added to the regression model.

If the dummy letter is M for instance, and 1 represents the presence of a particular LOE and 0 represents the absence of that LOE;

M1 = 1 when LOE is HS   but =0 when LOE is otherwise

M2 = 1 when LOE is BS   but =0 when LOE is otherwise

M3 = 1 when LOE is MS   but  =0 when LOE is otherwise

So, when M1, M2, M3 are equal to 0, the PHD value is represented.

Answer:

y=mx+b m= rise/run b= y-intercept (0,b)

hope this helps

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

multiply 2 from both sides to isolate x

then u should end up with 1x=12

It's easier to eliminate x because when you add both equations -4x +4x would be zero

Answer:

26°

Step-by-step explanation:

m∠A + m∠B + m∠C = 180°

x + 3x + (x+50) = 180

5x + 50 = 180

5x = 130

x = 26°

Answer: $200

Step-by-step explanation:

We know that:

You have $150 in a savings account.

This is represented with two tiles.

Then each tile represents:

$150/2 = $75

And in cash you have 5 tiles, then in cash you have:

5*$75 = $375.

Then the problem is:

You have $150 in the savings account

You have $375 in cash.

You want to deposit a quantity such that you have twice the amount of money in your savings account as you have in cash.

Suppose that you move a quantity X from cash to the savings account, then now we have the situation:

Sav. Acc. = $150 + X

Cash = $375 - X

And we want that:

Sav. Acc. = 2*Cash

($150 + X) = 2*($375 - X)

Let's solve this for X.

$150 + X = $750 - 2*X

3*X = $750 - $150 = $600

X = $600/3 = $200

You should deposit $200 in the Savings acount.

Tape diagrams are used to represent numbers as a ratio

$200 from the cash should be deposited into the savings account

Represent the amount in the savings account with s, and the cash with c.

So, we have the following ratio from the tape diagram

[tex]\mathbf{s : c = 2 : 5}[/tex]

You have $150 in the savings account.

So, the ratio becomes

[tex]\mathbf{150 : c = 2 : 5}[/tex]

Express as fractions

[tex]\mathbf{\frac c{150}= \frac 52}[/tex]

Multiply both sides by 150

[tex]\mathbf{c= \frac 52 \times 150}[/tex]

[tex]\mathbf{c= 375}[/tex]

Let the deposited amount be x.

Twice the amount in the savings account as cash means that:

[tex]\mathbf{150 + x = 2 \times (375 - x)}[/tex]

Open brackets

[tex]\mathbf{150 + x = 750 - 2x}[/tex]

Collect like terms

[tex]\mathbf{2x + x = 750 - 150}[/tex]

[tex]\mathbf{3x = 600}[/tex]

Divide both sides by 3

[tex]\mathbf{x = 200}[/tex]

Hence, $200 from the cash should be deposited into the savings account

Read more about tape diagrams at:

https://brainly.com/question/22960561

Answer:

x=15ft

Step-by-step explanation:

a^2+b^2=c^2

8^2+b^2=17^2

b^2+64=289

b^2=225

b=15

Answer: x=4

Step-by-step explanation:

Answer: that will be 5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

its b

Answer:

The answer would be 4.5

Answer:

96

Step-by-step explanation:

144/12= 12 ( each hour)

12( times)  8=96

Since they got 144 for 12 hours you have to divide the hours by the money to get the amount earned ever hour so you divide the total amount by the  hour then use the information you got and then you multiply the amount of money by 8

Answer:

a

Step-by-step explanation:

If you make your enemy's doctor away he will die of sickness

Answer:

35 failed and 140 passed

Step-by-step explanation:

Let  p = number who passed

f = number who failed

p+f = 175

4 times the number of students passed as failed, so we need to balance this to set it equal

4f = p

Substitute this into the first equation

4r+f = 175

5f = 175

5f/5 =175/5

f = 35

Now find the number who passed

p = 4f

p = 4*35

p =140