Income tax returns show that the mean income of self-employed persons in a particular year was £15,000, with a standard deviation of £975. A random sample of 169 returns from people in the clothing industry gave a mean income of £14,500. Did this indicate that income from self-employment in the clothing industry was significantly different?

Answer:

The value of the larger number is

[tex]x=24[/tex]

Step-by-step explanation:

A number, x, is 4 times another number, y.

[tex]x=4y[/tex] --------- (1)

The difference between the two numbers is 18.

[tex]x-y=18[/tex] -------(2)

Re-arranging equation (2) yields

[tex]-y=18-x\\y=x-18[/tex]------------- (3)

Substitute y=x-18 in equation (1)

[tex]x=4 (x-18)[/tex]

[tex]x=4x-72\\x-4x=-72[/tex]

[tex]-3x=-72\\x=\frac{72}{3}\\x=24[/tex]

Substitute x=24 in equation (3)

[tex]y=24-18\\y=6[/tex]

Answer:

im not too sure but i think the answer is c

Step-by-step explanation:

Answer:

a.)2 b.)6

Step-by-step explanation:

a.) solve 7x+4=18 because EC bisects making FEC = CEG

b.) solve 12y+18=90 because AED is 90 degrees

Answer:

One thing that is unclear here is whether the "1." at the start is part of the number "1.2" or if it is an enumeration of the question, and the base raised to the exponent is in fact 2.

The rest of the equation seems to indicate the latter, so we'll solve both:

If 1.2ᵃ ₓ 2⁵ = 2⁰, then a is approximately equal to -19.009.

If as I'm guessing is the correct question, 2ᵃ ₓ 2⁵ = 2⁰, then a is equal to -5.

Step-by-step explanation:

Interpretation #1:

[tex]1.2^a \times 2^5 = 2^0\\1.2^a \times 32 = 1\\1.2^a = \frac{1}{32}\\log_{1.2} \frac{1}{32} = a\\a \approx -19.009[/tex]

Interpretation #2:

Here the question is much simpler, as we need only add the exponents when adding and dividing:

[tex]2^a \times 2^5 = 2^0\\2^a = 2^0 \div2^5\\2^a = 2^{-5}\\a = -5[/tex]

Answer:

hmmm this is too hard for me.

Step-by-step explanation:

Answer:

I'm guessing A, but am not sure, as for any number can go there if it's over 9!

Answer:

(-6, 4)

Step-by-step explanation

translation rule: (x+1,y-3)

(-7+1, 7-3)

(-6, 4)

Step-by-step explanation:

Classroom A has n students.

Since Classroom B has 4 less students, they have (n - 4) students.

Also Classroom C has double the students in B, so they have 2(n - 4) students.

We have A + B + C = 40.

=> n + (n - 4) + 2(n - 4) = 40

=> n + n - 4 + 2n - 8 = 40

=> 4n - 12 = 40

=> 4n = 52, n = 13.

Hence there are 13 students in Classroom A.

Answer:

A.27

B.6

Step-by-step explanation:

A. -3(9)=27

B.9/-3+9=-3+9=6

Plug in what its says a and b is equal to

Answer:

x = -6+-odmocnina36-40/2

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

10 times -4 is -40 since if you multiply a negative number by a positive you get a negative

Answer:

11 5/9

Step-by-step explanation:

Answer: x = 4 and y = -3

Step-by-step explanation:

2x + 4y = -4

2x = -4 - 4y

x = -2 - 2y

Now that we have solved the first equation for x, we plug (-2 - 2y) into the other equation in place of x and then solve for y.

3(-2 -2y) + 5y = -3

-6 - 6y + 5y = -3

-y = 3

y = -3

Now that we know y, we plug it into the original equation and solve for x.

2x + 4(-3) = -4

2x + -12 = -4

2x = 8

x = 4

You can check the answer by plugging both x and y into either of the original equations.

Answer:

40 items

Step-by-step explanation:

I used the equation 1.5x+50=2.75x to find the answer. If the school were to buy 40 items from either truck, they would both amount to 110.

Answer:

A

Step-by-step explanation:

A

Given:

[tex]OA=3[/tex] units

[tex]OA'=9[/tex] units

To find:

The scale factor of the dilation.

Solution:

From the given figure it is clear that the center of dilation is point O. Point A' is the image of point A. So,

[tex]\text{Scale factor}=\dfrac{OA'}{OA}[/tex]

Putting the given values, we get

[tex]\text{Scale factor}=\dfrac{9}{3}[/tex]

[tex]\text{Scale factor}=3[/tex]

Therefore, the scale factor of the dilation is 3.

Answer:

An acute angle is an angle that measures less than 90 degrees

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

i think 5

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

7- Cranberry

2:Grape = 40 so 40/2 = 1

3:Pineapple

1= 20 juices

7+2+3 is 12

20 x 12 is 140

Answer:

kisses -A

Step-by-step explanation:

Answer: 5/2

Step-by-step explanation: Use the slope formula

Answer:

C y>2/3x+3

Step-by-step explanation:

Use y=mx+b format. The B is the y-intercept. From the y-intercept (3), go up two then to the right 3. That gives you the slope, or mx which is 2/3. The area shaded is above so it would be the greater than symbol.  

Answer:

C.) 32

Step-by-step explanation:

2^5 = 32

Answer:

keep the canon digital marketing. this was not able the first one. it has to go on, I will not

Answer:

-6x

Step-by-step explanation:

23x+50x-79x

We take out x from the terms and group them up.

We therefore get (23+50-79)x after taking out x, and grouping the coefficients together.

Calculating 23+50-79 gets us -6, which is the coefficient of the final answer.

So the answer would be -6x.

Answer:

Step-by-step explanation:

Here you go mate,

Step 1

23x+50x-79x  Equation/Question

Step 2

23x+50x-79x  Simplify

23x+50x-79x

Step 3

23x+50x-79x  Combine terms

(23x+50x+(-79x))

Step 4

(23x+50x+(-79x))  Solve

answer

-6x

Hope it helps

Answer:

true

Step-by-step explanation:

Cause if you draw a square and turn it, its gone be a rhombus

Answer:

True

Step-by-step explanation:

Answer:

poop=pee

Step-by-step explanation: