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DiKsa [7]
2 years ago
11

Solve for x.

Mathematics
1 answer:
S_A_V [24]2 years ago
3 0

Answer:

x = {-2, 2/3}

Step-by-step explanation:

2x = -4

x = -2

3x = 2

x = 2/3

x = {-2, 2/3}

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Solve each triangle - find any missing side and angle measures. Round answers to the nearest tenth.
Basile [38]

The sides of the right-angle triangle will be 16 units and 20.30 units. And the missing angle will be 52°.

<h3>What is a right-angle triangle?</h3>

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The side AC will be

tan 38° = 12.5 / AC

      AC = 15.999

      AC ≈ 16 units

Then the side AB will be

AB² = 12.5² + 16²

 AB = 20.30 units

We know that the angle sum is 180 degrees. Then we have

∠A + ∠B + ∠C = 180°

38° + ∠B + 90° = 180°

                  ∠B = 52°

More about the right-angle triangle link is given below.

brainly.com/question/3770177

#SPJ1

6 0
1 year ago
Lucy is going to invest in an account paying an interest rate of 7% compounded daily. How much would Lucy need to invest, to the
Lubov Fominskaja [6]

Answer:

Lucy needs to invest $55,194.16

Step-by-step explanation:

5 0
2 years ago
The sum of 4.5 and a number K is 26.2​
garri49 [273]

Answer:

Your answer should be K=21.7

You can find this by subtracting 26.2-4.5

3 0
2 years ago
a company has $25,000 in cash. next month the company anticipates sales revenue of $10,000, equiptment expense of $2,500, insura
wlad13 [49]

Answer:o

Step-by-step explanation:

6 0
3 years ago
Bottles of a popular cola drink are supposed to contain 300 ml of cola. There is some variation from bottle to bottle because th
Ksju [112]

Answer:

We conclude that the mean contents of cola bottles is more than or equal to the advertised 300 ml.

Step-by-step explanation:

We are given that Bottles of a popular cola drink are supposed to contain 300 ml of cola. The distribution of the contents is normal with standard deviation of 3 ml.

A student who suspects that the bottler is under-filling measures the contents of six bottles. The results are: 299.4, 297.7, 301.0, 298.9, 300.2, 297.0

<u><em>Let </em></u>\mu<u><em> = mean contents of cola bottles.</em></u>

SO, Null Hypothesis, H_0 : \mu \geq  300 ml   {means that the mean contents of cola bottles is more than or equal to the advertised 300 ml}

Alternate Hypothesis, H_A : \mu < 300 ml   {means that the mean contents of cola bottles is less than the advertised 300 ml}

The test statistics that will be used here is <u>One-sample z test statistics</u> as we know about the population standard deviation;

                       T.S.  = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean contents of cola bottle = \frac{\sum X}{n} = 299.03 ml

            \sigma = population standard deviation = 3 ml

            n = sample of bottles = 6

So, <em><u>test statistics</u></em>  =  \frac{299.03-300}{\frac{3}{\sqrt{6} } }     

                               =  -0.792

<em>Now at 5% significance level, the z table gives critical value of -1.6449 for left-tailed test. Since our test statistics is more than the critical value of z as -0.792 > -1.6449, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.</em>

Therefore, we conclude that the mean contents of cola bottles is more than or equal to the advertised 300 ml.

8 0
3 years ago
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