What is the mode of the following numbers?<br> 3,5,6,7,9,6,8

Write three fractions between 3/10 and 9/10

Norma-Jean [14]

Answer:

4/10, 5/10, 6/10 are all fractions in between 3/10 and 9/10

Step-by-step explanation:

8 0

3 years ago

The city of Anville is currently home to 16000 people, and the population has been growing at a continuous rate of 4% per year.

Nesterboy [21]

Answer

After 13.15 years the population of both towns will become equal.

Step-by-step explanation:

Population of the city Anville is given by using the compound interest formula

The formula of compound interest

A = p( 1+r/n)^n*t

using this we get

P1 = 16000 (1 + $\frac{0.04}{1}$ ) ^1*t

Population of the city of Brinker will be

P2 = 11000( 1 + $\frac{0.07}{1}$ ) ^1*t

now to make equal population in both towns

P1=P2

16000 (1 + $\frac{0.04}{1}$ ) ^1*t = 11000( 1 + $\frac{0.07}{1}$ ) ^1*t

$(\frac{1.04}{1.07} )^t = \frac{11}{16}$

t = 13.15 years

5 0

3 years ago

TRUE or FALSE: Your boat travels 480 miles in 20 hours. That is the same rate as 860 miles in 40 hours.

Morgarella [4.7K]

Answer:

false

Step-by-step explanation:

860 divided by 2 is 430 NOT 480

5 0

3 years ago

Read 2 more answers

A 14-foot ladder is leaning against a building as shown. It touches a point 11 feet up on a building. How far away from the base

Luden [163]

We can assume that the point the ladder creates with the ground and building is a triangle. You can use the Pythagorean theorem to solve this.

A^2 + B^2 = C^2

The ladder is C, and the building can act as A or B, so for the purpose of this explanation, I’ll make it A.

11^2 + B^2 = 14^2
Figure out the squares

121 + B^2 = 196
Subtract 121 from both sides

B^2 = 75
Square root B^2 and 75

B = 5 root3

6 0

3 years ago

Consider a chemical company that wishes to determine whether a new catalyst, catalyst XA-100, changes the mean hourly yield of i

kolezko [41]

Answer:

Null hypothesis: $\mu = 750$

Alternative hypothesis: $\mu \neq 750$

$t=\frac{811-750}{\frac{19.647}{\sqrt{5}}}=6.943$

$p_v =2*P(t_{4}>6.943)=0.00226$

If we compare the p value and a significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the actual true mean is significantly different from 750 pounds per hour.

Step-by-step explanation:

Data given and notation

Data: 801, 814, 784, 836,820

We can calculate the sample mean and sample deviation with the following formulas:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=811$ represent the sample mean

$s=19.647$ represent the standard deviation for the sample

$n=5$ sample size

$\mu_o =750$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses to be tested

We need to conduct a hypothesis in order to determine if the mean is different from 750 pounds per hour, the system of hypothesis would be:

Null hypothesis: $\mu = 750$

Alternative hypothesis: $\mu \neq 750$

Compute the test statistic

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

We can replace in formula (1) the info given like this:

$t=\frac{811-750}{\frac{19.647}{\sqrt{5}}}=6.943$

Now we need to find the degrees of freedom for the t distirbution given by:

$df=n-1=5-1=4$

What do you conclude?

Compute the p-value

Since is a two tailed test the p value would be:

$p_v =2*P(t_{4}>6.943)=0.00226$

If we compare the p value and a significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the actual true mean is significantly different from 750 pounds per hour.

4 0

3 years ago

What is the mode of the following numbers? 3,5,6,7,9,6,8