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3 years ago

What is the value of b when the expression 14.1x+b is equivalent to 4.7(3x-3.5)

1 answer:

4 0

Equivalent means they are equal.

14.1x+b = 4.7(3x-3.5)

Solve for b. First subtract 15.1x to both sides.

b = 4.7(3x-3.5) - 14.1x

You can simplify by distributing the 4.7 and combining like terms.

b = 14.1x - 16.45 - 14.1x

The positive and negative 14.1x cancel each other out.

b = -16.45

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Point Q is on line segment PR. Given PQ = 5 and QR=6, determine the length <br> PR

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Answer:

Step-by-step explanation:

PQ=5

QR=6

6+5=11

PR=11

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3 years ago

Find the greatest common factor of 16 and 33.

Luden [163]

Answer:

Step-by-step explanation:

The greatest common factor of 16 and 33 is 1.

16 x 1 = 16

16 x 2 = 32

16 x 3 = 48

33 x 1 = 33

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4 years ago

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4 years ago

Use the given data to find the 95% confidence interval estimate of the population mean μ. Assume that the population has a norma

loris [4]

Answer: For 95% Confidence Interval:

Upper Limit = 110.2

Lower Limit = 97.8

95% Confidence Interval = [97.8, 110.2]

Step-by-step explanation:

Given that,

Mean(M) = 104

Standard Deviation(SD) = 10

Sample Size(n) = 10

Formula for calculating 95% Confidence Interval are as follows:

Standard error(SE) = $\frac{SD}{\sqrt{n} }$

= $\frac{10}{\sqrt{10} }$

= 3.164

⇒ M ± $Z_{0.95}$ × SE

= 104 ± (1.96)(3.164)

= 104 ± 6.20

∴ Upper Limit = 104 + 6.20 = 110.2

Lower Limit = 104 - 6.20 = 97.8

So,

95% Confidence Interval = [97.8, 110.2]

6 0

3 years ago

Find the product of (k – 9)2 using the perfect square trinomial rule shown on the left. The product (k – 9)2 can also be written

Crank

$(a-b)^2=a^2-2ab+b^2$

$(k-9)^2=k^2-2\cdot k\cdot9+9^2=k^2-18k+81$

6 0

3 years ago