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3 years ago

PLEASE HELP ME!!

Mathematics

1 answer:

Arisa [49]3 years ago

7 0

Answer:

y-intercept: 2000
rate of change: 500

Step-by-step explanation:

When Timon starts, he is already $2000 in debt. If we represent Timon's debt with positive numbers, the y-intercept will be $2000.

Timon's debt seems to be increasing at the rate of $500 per month. That value is the rate of change.

After m months, Timon's debt d will be ...

d = 500m + 2000

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Please help! geometry problem 3!

Vilka [71]

Comment
|First of all, the triangles are equal by ASA the way the diagram has been marked.

B and E are both right angles.
Side BC = Side DE
<BCA =< EDA

So triangle BCA = triangle EDA

Now to the letters.
x = y - 1 Add 1 to both sides.
x + 1 = y (1)
3x - 2 = 2y + 1 Subtract 1 from both sides.
3x -2 - 1 = 2y
3x - 3 = 2y Divide by 2
3x/2 - 3/2 = 2y/2
1.5x - 1.5 = y (2)

Step One
Since (1) and (2) both have y isolated on their respective right sides, they can be equated.

1.5x - 1.5 = x + 1 Take an x from both sides.
0.5x - 1.5 = x - x + 1
0.5x - 1.5 = 1 Add 1.5 to both sides.
0.5x = 1 + 1.5
0.5x = 2.5 Divide 0.5 on both sides.
0.5x/0.5 = 2.5/0.5

x = 5

Now we need a y value.
x = y - 1
5 = y - 1 Add 1 to both sides.
5 + 1 = y - 1 + 1
6 = y

So the 2 sides and the 2 angles are equal when
x = 5
y = 6

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3 years ago

What is (5 7/8 minus 6 3/4) minus 2 1/4 ? Please give me the correct answer and stepy by step instructions.

MaRussiya [10]

(5 7/8-6 3/4)-2 1/4
Solve the numbers in the parenthesis ( I change the denominators to a common denominator that 8 and 4 share)
(5 7/8 - 6 3/4)-2 1/4
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-1 1/8-2 1/4
(I use KKC aka Keep Change Change where I keep -1 1/8 the same, change the minus sign to a plus sign, and change the -2 1/4 to positive) ( I change the denominators to a common denominator that 8 and 4 share)
-1 1/8 + +2 1/4 = 1 1/8

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3 years ago

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KonstantinChe [14]

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3 years ago

What's the proportional relationship? I've totally forgot how to do this aaa

lubasha [3.4K]

Answer: yes it has a proportional relationship

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3 years ago

A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is current

lapo4ka [179]

Using the z-distribution, we have that:

The hypothesis test is:

$H_0: \mu = 7.4$

$H_1: \mu < 7.4$

The p-value is of 0.0668.

The critical value is $z^{\ast} = -1.28$

b) Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

Item a:

At the null hypothesis, it is tested if the mean is of 7.4 minutes, that is:

$H_0: \mu = 7.4$

At the alternative hypothesis, it is tested if the mean is lower than 7.4 minutes, that is:

$H_1: \mu < 7.4$

We have the standard deviation for the population, hence, the z-distribution is used.

The test statistic is given by:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

$\sigma$ is the standard deviation of the sample.

n is the sample size.

For this problem, the values of the parameters are: $\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36$ .

Hence, the value of the test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}$

$z = -1.5$

Using a z-distribution calculator, the p-value is of 0.0668.

Also using a calculator, considering a left-tailed test, as we are testing if the mean is less than a value, the critical value with a significance level of 0.1 is of $z^{\ast} = -1.28$ .

Item b:

Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

You can learn more about the use of the z-distribution to test an hypothesis at brainly.com/question/16313918

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2 years ago