What number should go in the space? Multiplying by 1.98 is the same as increasing by ____

phan fills the tank of her car with gasoline before starting her road trip. the table below shows the amount of gas left in her

liq [111]

G(h) h
12 3
8 5
4 7
0 9

Equation of the line:

slope = [12-0]/[3-9] = 12 / -6 = -2

g / [h - 9] = -2

g = -2(h-9)

g = -2h + 18

g = 18 -2h

Filling the tank ==> h = 0

g = 18 - 2(0) = 18

Answer: first option g = 18 -2 h; 18

8 0

2 years ago

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Nathan flew 3,547 miles from Canada to California during the first part of his trip. He flew 2,567 miles from California to Hawa

AURORKA [14]

Difference in the number of miles Nathan flew between the first and second parts of his trip is 980 miles

<em><u>Solution:</u></em>

Given that Nathan flew 3,547 miles from Canada to California during the first part of his trip

He flew 2,567 miles from California to Hawaii during the second part of his trip

Therefore,

first part of his trip = 3547 miles

second part of his trip = 2567 miles

Difference in the number of miles Nathan flew between the first and second parts of his trip is given as:

difference = first part of his trip - second part of his trip

difference = 3547 - 2567 = 980

Therefore, the difference in number is 980 miles

4 0

2 years ago

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. David invested $220

S_A_V [24]

Answer:

The answer is 23 years.

Step-by-step explanation:

We will use the formula :

$A=P(1+r)^{t}$

Here P = 220

r = 3%

A = 400

Putting these values in the formula we get,

$400=200(1+0.03)^{t}$

$2=1.03^{t}$

Taking log on both sides,

ln(1.03)t=ln 2

$t=\frac{ln(2)}{ln(1.03)}$

t=23.44 or rounding to nearest, t=23 years

The graph of the function can be shown as below.

3 0

2 years ago

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A civil engineer tested concrete samples to investigate the difference in strength, in newtons per square millimeter (N/mm2), be

xxTIMURxx [149]

Answer: d)In repeated samples of the same size, approximately 95 percent of the intervals constructed from the samples will capture the population difference in means.

Step-by-step explanation:

Confidence interval is constructed to estimate a range of values that could possibly contain the population parameter. This could be the population mean or population proportion. A 95 percent confidence interval does not mean 95% probability. It tells how confident that we are that the confidence interval contains the population proportion. If we construct 100 of the given confidence interval, we are confident that 95% of them would contain the true population parameter. Therefore, the correct option is

d)In repeated samples of the same size, approximately 95 percent of the intervals constructed from the samples will capture the population difference in means.

3 0

2 years ago

Food allergies affect an estimated 7% of children under age 5 in the US. What is the probability that in a kindergarden class of

bezimeni [28]

Answer:

Probability of atleast one of 12 student has food allergies ≈ 0.58 ( approx)

Step-by-step explanation:

Given: Probability of a children under age 5 has food allergies = 7%

= $\frac{7}{100}$

To find : Probability of atleast one of 12 student has food allergies

Probability of a chindren under age 5 does not have food allergies = $1-\frac{7}{100}$

⇒ prob = $\frac{93}{100}$

now we find Probability of atleast one of 12 student has food allergies this means we have to find prob of 1 student, 2 student, 3 student, till 12 student have allergy out of 12 student of class then add all prob.

But instead of finding all these probability we find probability of student having no allergy.i.e., 0 student then subtract it from 1(total probability)

Probability of 0 student having allergy out of 12 student = $(\frac{93}{100})^{12}$

Therefore, Probability of atleast one of 12 student has food allergies

= $1-(\frac{93}{100})^{12}$

= $0.581403702521$

≈ 0.58 ( approx)

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2 years ago

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What number should go in the space? Multiplying by 1.98 is the same as increasing by _____%.