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2 years ago

Find two consecutive whole numbers that 56 lies between.

Mathematics

2 answers:

olasank [31]2 years ago

7 0

Answer:

55 And 57

Step-by-step explanation:

55, 56, 57,

ivolga24 [154]2 years ago

7 0

Answer:

8 and 7

Step-by-step explanation:

You might be interested in

Suppose you invest $950 at an annual interest rate of 6.5% compounded continuously. How much will you have in the account after

posledela

The correct answer is $1820.

The formula for continuously compounded interest is

A = Pe^(rt), where P is the amount of principal, r is the interest rate expressed as a decimal number, and t is the number of years. Using our information, we have:

A = 950*e^(0.065*10) = 1819.76 ≈ 1820

3 0

2 years ago

A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean

Dovator [93]

Answer:

B) 0.0069

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 question, we have that:

$\mu = 8.4, \sigma = 1.8, n = 40, s = \frac{1.8}{\sqrt{40}} = 0.2846$

Find the probability that their mean rebuild time exceeds 9.1 hours.

This is 1 subtracted by the pvalue of Z when X = 9.1. So

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

By the Central Limit Theorem

$Z = \frac{9.1 - 8.4}{0.2846}$

$Z = 2.46$

$Z = 2.46$ has a pvalue of 0.9931

1 - 0.9931 = 0.0069

So the answer is B.

6 0

2 years ago

Write your answer as a mixed number in simplest form

Neko [114]

Answer:

2 5/12

Step-by-step explanation:

You put it so that the denominators are the same so in this case I used 12 as the denominator and used the rule for each. Next I subtracted 3 9/12 minus 1 4/12 and got 2 5/12

5 0

2 years ago

The town library is raising money by selling old books for $2 each.Which equation can be used to find the amount of money raised

alexgriva [62]

Y=2x
y is the amount of money made from the sold books
x is the number of books that are sold (it is x because you don't know how many will be sold, so you have to account for all possibilities)
2x is because every book is sold for 2 dollars, so that mean x is multiplied by 2 to get y

5 0

2 years ago

Read 2 more answers

B) Amount<br>Rs 5760, Interest<br>Rs 1526

Crazy boy [7]

Given :

Amount, A = 5760 Rs.

Interest in the amount, I = 1526 Rs.

To Find :

We need to find the % rate of interest.

Solution :

Let, us assume it is simple interest.

So,

$Interest = \dfrac{price \times rate \times time}{100}\\\\1526 = \dfrac{5760 \times r \times m}{100}\\\\r = \dfrac{152600}{5760m}\\\\r = \dfrac{26.5}{m}$

Hence, this is the required solution.

6 0

2 years ago