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2 years ago

Round your answer to the nearest hundredth.

Mathematics

1 answer:

BartSMP [9]2 years ago

3 0

Answer:

$in \: right \: angle \: triangl \: a \: b \: c \\ tan35 = \frac{bc}{ac } = \frac{bc}{2} \\ bc = 2 \times 0.7002 \\ bc = 1.4004$

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A Chevy Malibu has a fuel capacity of 18.5 gallons. This vehicle averages 666 miles per tank. Assume the relationship between fu

Nuetrik [128]

Answer:

180 miles

Step-by-step explanation:

Step one:

capacity of tank= 18.5gallons

vehicle averages 666 miles per tank.

Hence, the vehicle can travel 666 miles on 18.5 gallons

Required

The distance covered on 5 gallons

Step two:

vehicle can travel 666 miles on 18.5 gallons

the vehicle will go x miles on 5 gallons

cross multiply we have

5*666= 18.5*x

3330=18.5x

divide both sides by 18.5

x= 3330/18.5

x=180 miles

5 0

3 years ago

Among freshman at a certain university, scores on the Math SAT followed the normal curve, with an average of 550 and an SD of 10

lina2011 [118]

Answer:

a) 6.68th percentile

b) 617.5 points

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 550, \sigma = 100$

a) A student who scored 400 on the Math SAT was at the ______ th percentile of the score distribution.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{400 - 550}{100}$

$Z = -1.5$

$Z = -1.5$ has a pvalue of 0.0668

So this student is in the 6.68th percentile.

b) To be at the 75th percentile of the distribution, a student needed a score of about ______ points on the Math SAT.

He needs a score of X when Z has a pvalue of 0.75. So X when Z = 0.675.

$Z = \frac{X - \mu}{\sigma}$

$0.675 = \frac{X - 550}{100}$

$X - 550 = 0.675*100$

$X = 617.5$

6 0

3 years ago

How tall would one million pennies be in centimeters.And how do you know

Vikki [24]

One US-penny is 19 mm in diameter.

One British-penny is 20.3 in diameter.

We can make an accurate measurement of the diameters, or research on the internet.

1 milion US_pennies are

1,000,000*19 mm = 19,000,000 mm = 1,900,000 cm tall, since 1cm=10mm

1 milion British_pennies are

1,000,000*20.3 mm = 20,300,000 mm = 2,030,000 cm tall, since 1cm=10mm

8 0

4 years ago

What is the definition of constant

Pie

Answer: If you mean the math definiton then a quantity or parameter that does not change its value whatever the value of the variables, under a given set of conditions.

7 0

3 years ago

How can you write 5+5+5 using a different math operation

Len [333]

Answer:

five plus five plus five

Step-by-step explanation:

This is in wording

3 0

3 years ago

Read 2 more answers