Given a point on a plane,there is ______ and only ______ line perpendicular to the plane through that plane

M mr. Brown has $410,000 in a retirement account that earns 3.85% interest each year. Find the amount earned each year by his in

Maslowich

Ok you first turn percent into a decimal so 3.85 would become .0385 then you multiply 410,000 by .0385 and add your awnser to 410,000 to have your final awnser witch is 425,785

4 0

3 years ago

Nia increased her class average by 3% she now has 92% in her math class

hichkok12 [17]

Answer:

see below

Step-by-step explanation:

1.03 * x = 92 x = prior percentage

92 / 1.03 = x = 89.32

She HAD a 89.32 percentage score

increasing this score 3% reults in a score of 92

6 0

2 years ago

A sample of 100 workers located in Atlanta has an average daily work time of 6.5 hours with a standard deviation of 0.5 hours. A

Readme [11.4K]

Answer:

$t=\frac{6.5-6.7}{\sqrt{\frac{0.5^2}{100}+\frac{0.7^2}{110}}}}=-2.398$

$df = n_1 +n_2 -2= 100+110-2= 208$

Since is a bilateral test the p value would be:

$p_v =2*P(t_{208}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we can reject the null hypothesis, and we have significant differences between the two groups at 5% of significance.

Step-by-step explanation:

Data given and notation

$\bar X_{1}=6.5$ represent the sample mean for Atlanta

$\bar X_{2}=6.7$ represent the sample mean for Chicago

$s_{1}=0.5$ represent the sample deviation for Atlanta

$s_{2}=0.7$ represent the sample standard deviation for Chicago

$n_{1}=100$ sample size for the group Atlanta

$n_{2}=110$ sample size for the group Chicago

t would represent the statistic (variable of interest)

$\alpha=0.01$ significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the meanfor atlanta is different from the mean of Chicago, the system of hypothesis would be:

Null hypothesis: $\mu_{1}=\mu_{2}$

Alternative hypothesis: $\mu_{1} \neq \mu_{2}$

Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}$ (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

$t=\frac{6.5-6.7}{\sqrt{\frac{0.5^2}{100}+\frac{0.7^2}{110}}}}=-2.398$

What is the p-value for this hypothesis test?

The degrees of freedom are given by:

$df = n_1 +n_2 -2= 100+110-2= 208$

Since is a bilateral test the p value would be:

$p_v =2*P(t_{208}$

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we can reject the null hypothesis, and we have significant differences between the two groups at 5% of significance.

3 0

3 years ago

Read 2 more answers

A bicycle is traveling at 16 miles per hour. How many feet will it cover in 35 seconds? Round your answer to the nearest tenth o

ch4aika [34]

A bicycle is traveling at 16 miles per hour it covers 821.33 ft in 35 seconds.

It is required to find How many feet will it cover in 35 seconds.

<h3>What is conversion?</h3>

conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons. Units are used for measuring length, measuring weight, measuring capacity, measuring temperature, and measuring speed.

Given that:

1 hour = 60min×60sec = 3600 sec

1 miles = 5280 feet

16 miles = 16×5280ft = 84480 ft

3600sec ................. 84480 ft

35sec ................................ x ft

x = 35×84480/3600

=2956800 /3600

= 821.33 feet.

Hence, a bicycle is traveling at 16 miles per hour it covers 821.33 ft in 35 seconds.

Learn more about conversion here:

brainly.com/question/3477680

#SPJ1

3 0

2 years ago

Read this excerpt from “Incidents in the Life of a Slave Girl.” Again and again I had [traveled] those dreary twelve miles to an

Kamila [148]

Answer:

i think its D but im not entirely sure, im sincerly sry if im wrong

Step-by-step explanation:

3 0

3 years ago