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2 years ago

The blue string is 0.98 meters long. The

Mathematics

1 answer:

Yuliya22 [10]2 years ago

4 0

Answer:

22 centimeters

Step-by-step explanation:

1. See how many centimeters are in a meter:

There is 100 centimeters in one meter

2. Multiply each number by 100 to convert the meters to centimeters 

0.98 x 100= 98

0.76 x 100 = 76

3. Subtract to find the difference

98 - 76 = 22

Hence, the blue string is 22 centimeters longer than the yellow string.

have great night! :D

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Evaluate the expression: for y = 2 + 3x when x=4. What does y=?

lora16 [44]

Answer:

y = 14

Step-by-step explanation:

Plug in 4 as x into the equation:

y = 2 + 3x

y = 2 + 3(4)

Simplify:

y = 2 + 12

y = 14

So, when x = 4, y = 14.

4 0

3 years ago

Construct a 99% confidence interval to estimate the population proportion with a sample proportion equal to 0.36 and a sample s

vivado [14]

Using the z-distribution, the 99% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 99% confidence level, hence $\alpha = 0.99$ , z is the value of Z that has a p-value of $\frac{1+0.99}{2} = 0.995$ , so the critical value is z = 2.575.

The estimate and the sample size are given by:

$\pi = 0.36, n = 100$ .

Then the bounds of the interval are:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.2364$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.4836$

The 99% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

More can be learned about the z-distribution at brainly.com/question/25890103

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8 0

2 years ago

12(5 x-4.5)=36 what is the value of x

-Dominant- [34]

Answer:

3 /2

Step-by-step explanation:

12(5x−4.5)=36

(12)(5x)+(12)(−4.5)=36(Distribute)

60x+−54=36

60x−54=36

Step 2: Add 54 to both sides.

60x−54+54=36+54

60x=90

Step 3: Divide both sides by 60.

60x

90 /60

3 /2

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3 years ago

60 POINTS!!! PLEASE HELP ASAP!!! Find the 3rd side in simplest radical form.

stealth61 [152]

Answer:

Step-by-step explanation:

third side=√((√73)²-7²)=√(73-49)=√24

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3 years ago

Use Gauss-Jordan elimination to nd the general solution for the following system of linear equations: z2 + 3z3 ???? z4 = 0 ????z

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Answer:

Step-by-step explanation:

Solution is attached below

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3 years ago