I need help for number 5

Marta runs a mandarin-orange fruit stand. She is talking to an employee, Maribel, on the phone and trying to tell her the equati

Ivanshal [37]

Answer:

Fifty more than half the number of the oranges is one-hundred-and-twenty.

The sum of fifty and half the number of oranges is the same as one-hundred-twenty.

Step-by-step explanation:

The equation is 50 + one-half m = 120.

Assume the number of oranges=m

50+1/2m=120

1/2m=120-50

1/2m=70

m=70÷1/2

=140

All statement that applies includes:

1. Fifty more than half the number of the oranges is one-hundred-and-twenty.

50+1/2m=120

2. The sum of fifty and half the number of oranges is the same as one-hundred-twenty.

50+1/2m=120

Martha can use the two statements above to communicate the correct equation

8 0

3 years ago

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In the picture above, line BX is the bisector of A, angle B and C. Line CX is the bisector of A, angle C and B. If angle A = 68°

ad-work [718]

Answer:

,

Step-by-step explanation:

answer. is in the image

3 0

2 years ago

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A hypothesis will be used to test that a population mean equals 10 against the alternative that the population mean is more than

PilotLPTM [1.2K]

Answer:

A) 2.58

B) 1.96

C) 1.65

Step-by-step explanation:

A hypothesis used to test that

$H_o : \mu = 10$

against the alternatives $H1 : \mu$ not equal to 10

if null hypothesis is true, then distribution of test statics follow

$Zo = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}$

for two sided alternatives hypothesis $( H1: \mu \neq 7)$ , then P value is

$P = 2[1- \phi(\left | Zc \right |)]$ (1)

a)significance level $\alpha = 0.01$

from 1 eq we get

$\pi (\left | Zc \right |) = P(Zo$

Therefore $\left | Zc \right | = 2.58$ FROM Z TABLE

B) significance level $\alpha = 0.05$

from 1st equation we get

$\pi (\left | Zc \right |) = P(Zo < \left | Zc \right |) = 1 - \frac{0.05}{2} = 0.975$

Therefore $\left | Zc \right | = 1.96$ FROM Z TABLE

C) significance level $\alpha = 0.10$

from 1 eq we get

$\pi (\left | Zc \right |) = P(Zo$

Therefore $\left | Zc \right | = 1.65$ FROM Z TABLE

3 0

3 years ago

A goat enclosure is in the shape of a right triangle. One leg of the enclosure is built against the side of the barn. The other

Sonbull [250]

Answer:

The lengths are

8 + 8[root]3 , 12 + 8[root]3 and 20 + 8[root]3.

Step-by-step explanation:

Let the side against the barn be xft

We were told that the adjacent side is 4ft more than the side against the barn. This means it has a length of (x + 4)ft.

Lastly, we are told that the hypotenuse is 8ft longer than the side along the barn I.e (x + 4 + 8)ft = ( x + 12)ft.

Since the three lengths form a triangle, the square of the hypotenuse equals the square of the adjacent side plus the square of the opposite side. This is the pythagoras' theorem.

Mathematically, this can be written as follows:

(x + 12)^2 = x^2 + (x + 4)^2

This yields x^2 + 24x + 144 = x^2 + x^2 + 8x + 16

x^2 + 24x + 144 = 2x^2 + 8x + 16

Rearranging this will yield:

x^2 - 16x - 128 = 0

Using the quadratic formula yields the following values for x :

8 - 8[root]3 and 8 + 8[root 3]

Since the first is negative, we discard it and the only correct value of x is 8 + 8[root]3

Now the other length is 12 + 8[root]3 and 20 + 8[root]3.

4 0

4 years ago

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Easy ratio question for you power hungry point eaters<br>please answer both questions :)

Amiraneli [1.4K]

Answer:

#1- 20.25 kg of milk

#2- 80kg of butter

Step-by-step explanation:

7 0

3 years ago