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3 years ago

A model car is 3 3/4 inches long.using a scale of 1/2 inch=2 feet,find the actual length of the car

Mathematics

1 answer:

MaRussiya [10]3 years ago

8 0

Answer:

14.25 because for every 1/2 inch, the car is 2 feet.

Step-by-step explanation:

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If U = {a, b, c, d, e, f, g, h}, A= {a, b, c, d, e) and B= {c, d, e, f, g), find A-B and A nB.

Assoli18 [71]

here,

U = {a, b, c, d, e, f, g, h}, A= {a, b, c, d, e) and B= {c, d, e, f, g),

now,

A-B = {a,b}

A n B = { c,d,e}

3 0

2 years ago

Multiply. 8 1/2 -2 2/3

MrRissso [65]

Answer: $-\frac{68}{3}$ or $-22\ 2/3$

Step-by-step explanation:

To solve this problem you must:

- Convert the mixed numbers to fractions, as following:

$8\ 1/2=\frac{((8*2)+1)}{2}=\frac{17}{2}$

$2\ 2/3=\frac{((3(2)+2)}{3}=\frac{8}{3}$

- Multiply both fractions. Mutilply the numerators and the denominators:

$(\frac{17}{2})(-\frac{8}{3})=-\frac{136}{6}$

- Simplify. Therefore, you obtain that the answer is:

$-\frac{68}{3}$ or $-22\ 2/3$

5 0

2 years ago

Read 2 more answers

How do you solve 9 tenths minus 13 fiftenths

Elena L [17]

Answer:

0.04

Step-by-step explanation:

1. 9/10 = 0.9 and 13/15 = 0.86

2. Subtract 0.9 and 0.86

3. You should end up with 0.04

Remember when a number goes like 0.86666666666 to use 0.86 or if it has 0.86666666667 to use 0.87 because you would be simplifying it.

4 0

2 years ago

Suppose a batch of metal shafts produced in a manufacturing company have a population standard deviation of 1.3 and a mean diame

lbvjy [14]

Answer:

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 208, \sigma = 1.3, n = 60, s = \frac{1.3}{\sqrt{60}} = 0.1678$

What is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

Lesser than 208 - 0.1 = 207.9 or greater than 208 + 0.1 = 208.1. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Lesser than 207.9.

pvalue of Z when X = 207.9. So

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

By the Central Limit Theorem

$Z = \frac{207.9 - 208}{0.1678}$

$Z = -0.6$

$Z = -0.6$ has a pvalue of 0.2743

2*0.2743 = 0.5486

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

6 0

3 years ago

The area of a rectangular swimming pool is 360 square feet. If the length of the swimming pool is 9 feet more than its width, fi

Inessa [10]

Answer:

l = 24ft

Step-by-step explanation:

A = lw

360 = (x + 9)(x)

360 = x^2 + 9x

0 = x^2 + 9x - 360

0 = (x + 24)(x - 15)

x ≠ -24 (length cannot be negative)

x = 15

l = 15 + 9

l = 24ft

7 0

3 years ago