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2 years ago

F) One number is 78 more than

Mathematics

1 answer:

vladimir2022 [97]2 years ago

7 0

Answer:

The larger number = 116

Step-by-step explanation:

Let the smaller number = x

Given that one number is 78 more than another, so

The larger number = x+78

Given that if we add 12 to the smaller number, the result is 50, so

$x+12=50$

subtract 12 from both sides

$x+12-12=50-12$

Simplify

$x=38$

Therefore,

The smaller number = 38

The larger number = x+78 = 38+78 = 116

Thus, the larger number = 116

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Find the measure of angle x

Triss [41]

Answer:

it is heptagon and sum of interior angles of heptagon is 900 °

123°+131°+ 125°+124°+x 129°+132° = 900°

764° +x = 900 °

x = 900°-764°

x = 136°

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3 years ago

For every 3 kiwis there are 4

MArishka [77]

Answer:

Ratio of 3/4 I think

Step-by-step explanation:

Because you said for every 3 kiwis there are 4 of something so you would take the number of kiwis over the other number.

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3 years ago

(^^tap) SOS having a bit of trouble with this problem

MrRa [10]

Answer:

x = -5.25 or 21/4

Step-by-step explanation:

When break the bracket out, if there is a minus sign in front of the bracket, when we break it out, the sign inside the bracket would become positive:

67 = 18 - (8x - 7)

67 = 18 - 8x - (-7)

67 = 18 - 8x + 7

67 = 18 + 7 - 8x

67 = 25 - 8x or rewrite for easier look: 25 - 8x = 67

25 - 8x = 67

8x = 25 - 67

8x = -42

Divide both side by 8, we got:

x = -42 / 8

x = -5.25 or 21/4

Hope this helped :3

5 0

3 years ago

Find the simple interest on $900 for 18 months at a rate of 9.5% per year

Anestetic [448]

To get the simple interest, we must use the formula: I= (p)(r )( t)
So, in this one we need to multiply $900x18x9.% and the answer will be $128.25. This is the amount of interest they are going to pay per year.

6 0

3 years ago

A random sample of 100 observations from a quantitative population produced a sample mean of 22.8 and a sample standard deviatio

natima [27]

Answer:

We conclude that the population mean is 24.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 24

Sample mean, $\bar{x}$ = 22.8

Sample size, n = 100

Alpha, α = 0.05

Sample standard deviation, s = 8.3

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 24\\H_A: \mu \neq 24$

We use Two-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{22.8 - 24}{\frac{8.3}{\sqrt{100}} } = -1.44$

We calculate the p-value with the help of standard z table.

P-value = 0.1498

Since the p-value is greater than the significance level, we accept the null hypothesis. The population mean is 24.

Now, $z_{critical} \text{ at 0.05 level of significance } = \pm 1.96$

Since, the z-statistic lies in the acceptance region which is from -1.96 to +1.96, we accept the null hypothesis and conclude that the population mean is 24.

7 0

3 years ago