If one-third of a number, x, is greater than five less than twice the number, which of the following is true?

Simplify 4 - 8 multiply 3/4 + 1/4

FromTheMoon [43]

The given equation is 4 - 8 * [3/4 + 1/4]
- 4 * [3/4 + 1/4]
- 4 * 1 = - 4
The answer is - 4.

6 0

3 years ago

Read 2 more answers

What is the equation for an explicit formula

umka21 [38]

It defines the sequence as a formula in terms of n. ... Sequence: {10, 15, 20, 25, 30, 35, ...}. Find an explicit formula. This example is an arithmetic sequence(the same number, 5, is added to each term to get to the next term).

5 0

3 years ago

Which number is prime? 36 37 35 38

dybincka [34]

A number is prime if its only divisors are 1 and the number itself.

Out of your numbers, 36 and 38 are even, and thus divisible by 2, so they aren't prime.

Similarly, 35 ends with 5, so it's divisible by 5, and is not prime.

37 is divisible only by 1 and 37, and thus it's prime.

5 0

3 years ago

The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding

melamori03 [73]

Answer:

We conclude that the mean wedding cost is less than $30,000 as advertised.

Step-by-step explanation:

We are given the following data set:(in thousands)

29100, 28500, 28800, 29400, 29800, 29800, 30100, 30600

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{236100}{8} = 29512.5$

Sum of squares of differences = 3408750

$S.D = \sqrt{\frac{3408750}{7}} = 697.82$

Population mean, μ = $30,000

Sample mean, $\bar{x}$ = $29512.5

Sample size, n = 8

Alpha, α = 0.05

Sample standard deviation, s = $ 697.82

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30000\text{ dollars}\\H_A: \mu < 30000\text{ dollars}$ We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29512.5 - 30000}{\frac{697.82}{\sqrt{8}} } = -1.975$

Now,

$t_{critical} \text{ at 0.05 level of significance, 7 degree of freedom } = -1.894$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it.

We conclude that the mean wedding cost is less than $30,000 as advertised.

8 0

3 years ago

Based on aâ€‹ survey, assume that â€‹48% of consumers are comfortable having drones deliver their purchases. Suppose that we wan

Andru [333]

Answer:

The value of n is the size of the sample, the number of customers selected.

The value of p is 0.48.

The value of q is 0.52.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

48% of consumers are comfortable having drones deliver their purchases.

This means that $p = 0.48, q = 1 - p = 1 - 0.48 = 0.52$

The value of n is the size of the sample, the number of customers selected.

5 0

2 years ago