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3 years ago

Evaluate the expression, using the given value of the variable.

Mathematics

1 answer:

iren2701 [21]3 years ago

4 0

Answer:

-16

Step-by-step explanation:

Z/3 - 5(z) + 4(z-2)

12 /3 - 5(12) + 4(12-2)

4-60+40

-16

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The average and standard deviation of a measurement is 15.0 ± 5.0. if 100 students measured the value, how many would you expect

AURORKA [14]

Solution: We are given:

$\mu=15, \sigma=5$

Using the empirical rule, we have:

$\mu \pm \sigma$ covers 68% of data.

Also the percentage of values below mean = Percentage of values above mean = 50%

Now, let's find the z score for x=20

$z=\frac{20-15}{5}=1$

Therefore, the percentage of values greater than 1 standard deviation above mean $50\% - \frac{68\%}{2} =50\%-34\%=16%$

Expected number of students = 16% of 100 = 16

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3 years ago

Wane went on a 4-kilometer run he took a break at four third kilometers he took a drink of water at ten third kilometers show Wa

otez555 [7]

Answer:

Given,

The total distance covered = 4 km,

Since, initially he would be in rest,

So, his starting point would be 0.

Now, his first break = $\frac{4}{3}$ km,

Second break = $\frac{10}{3}$ km,

Also, we can write,

$4=\frac{4\times 3}{3}=\frac{12}{3}$

Drawing number line:

Step 1: Draw a line.

Step 2: Make 12 marks in same distance.

Step 3: Starts from 0, then 1/3, 2/3, 3/3 and so on.

Thus, we can show Wayne's bike on a number line as below.

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3 years ago

Construct a 99% confidence interval for the population standard deviation of white blood cell count (in cells per microliter). A

kogti [31]

Answer:

The correct option is 1.148 < σ < 6.015

Explanation:

The 99% confidence interval for the standard deviation is given below:

$\sqrt{\frac{(n-1)s^{2}}{\chi^{2}_{\frac{0.01}{2} }} }$

Where:

$\chi^{2}_{\frac{0.01}{2} }=18.548$

$\chi^{2}_{1-\frac{0.01}{2}}=0.676$

Therefore, the 99% confidence interval is:

$\sqrt{\frac{(7-1)2.019^{2}}{18.548} }$

$1.148$

Therefore, the option 1.148 < σ < 6.015 is correct

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4 years ago

What is the radius of a circle whose equation is x2+y2−10x+6y+18=0?

Brums [2.3K]

Answer:

Step-by-step explanation:

center | (5, -3)

radius | 4

diameter | 8

area enclosed | 16 π≈50.2655

circumference | 8 π≈25.1327

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3 years ago

(Help!!!!!!!!) Elena is building a fence for a garden. Using the drawing of her fence below, how many feet of fencing does she n

Tanzania [10]

Answer:it is d because on the chart it is 5 and 2 and your round

Step-by-step explanation:7 times 5 28 equal 30 hope helped correct if wrong

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3 years ago