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2 years ago

Look at the figure, rectangle FHJM. Find the m

Mathematics

1 answer:

Ilya [14]2 years ago

8 0

Answer:

Step-by-step explanation:

180-106 =74

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Please help mee! <33 y+4=-4(x+2) in standard form! <3

Pachacha [2.7K]

Answer:

y = -4x - 12

Step-by-step explanation:

y + 4 = -4(x + 2)

y = -4x -8 - 4

y = -4x - 12

6 0

3 years ago

Read 2 more answers

suppose that $20,000 is invested at an interest rate of 3.2%. what would be the amount in the account in 5 years if invested

otez555 [7]

Answer:

it is D

Step-by-step explanation:

8 0

3 years ago

A simple random sample with n = 58 provided a sample mean of 24.5 and a sample standard deviation of 4.4. (Round your answers to

nasty-shy [4]

Answer: (23.53, 25.47)

Step-by-step explanation:

The confidence interval for population mean(when population standard deviation is unknown) is given by :-

$\overline{x} \pm\ t^*\dfrac{s}{\sqrt{n}}$

, where $\overline{x}$ = sample mean

n = sample size.

s = sample standard deviation.

t* = Critical value.

Given : $\overline{x}=24.5$

s= 4.4

Confidence level = 90% =0.090

Significance level = $\alpha=1-0.90=0.10$

Sample size : n= 58

Degree of freedom : df= n-1= 57

Using t-distribution table , the critical value :

$t_{\alpha/2,\ df}= t_{0.05,\ 57}=1.6720$

Then, the confidence interval will be :-

$24.5 \pm\ (1.6720)\dfrac{4.4}{\sqrt{58}}$

$24.5 \pm\ (1.6720)\dfrac{4.4}{7.61577310586}$

$24.5 \pm\ 0.965995165263\approx24.5\pm0.97\\\\=(24.5-0.97,\ 24.5+0.97)\\\\=(23.53,\ 25.47)$

Hence, a 90% confidence interval for the population mean = (23.53, 25.47)

6 0

3 years ago

Owen earns a base salary plus a commission that is a percent of his total sales. His total weekly pay is described by f(x)=0.15x

Travka [436]

Answer:

0.05x

This is equivalent to 5% of the total amount of sales.

Step-by-step explanation:

Previous Weekly pay function for Owen; f (x) = 0.15x +325-------------------- (1)

Current Weekly pay function for Owen; g(x) = 0.20x +325--------------------(2)

Change in Owen's Salary plan is equation (2) minus equation (1)

g(x) - f(x) = (0.20x+325)-(0.15x+325)

= 0.05x

The new change in Owen's salary is 5% of the total amount of sales

4 0

3 years ago

L'Shonda purchased a container of juice

cupoosta [38]

L'Shonda purchased a container of juice. 80 calories are from carbohydrates.

Solution:

Given that, LShonda purchased a container of juice that contains 200 calories.

The label says that 40% of the calories are from carbohydrates.

We have to find how many calories are from carbohydrates?

Now, according to the given information,

Number of calories from carbohydrates = 40% of the total calories of the juice

Then, calories from carbohydrates = 40% of 200 calories

40% can be written in fraction as $\frac{40}{100}$

$\text { Calories from carbohydrates }=\frac{40}{100} \times 200=40 \times 2=80 \text { calories }$

Hence, 80 calories are from carbohydrates.

5 0

3 years ago