1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anastasy [175]
3 years ago
9

Find the length of the third side. If necessary, write in simplest radical form.

Mathematics
1 answer:
Zanzabum3 years ago
6 0

Answer:

Step-by-step explanation:

We have to find a leg, so we have to use the Pythagorean theorem in this way:

\sqrt{7^2 - 4^2} = \sqrt{49 - 16} = \sqrt{33}

You might be interested in
PLZ help HOMEWORK 100 ÷ 5 x 4 + 4 to the power of three
otez555 [7]

Answer:

144

Step-by-step explanation:

(100/5) x 4 + ( 4 to the power of 3 ) = 144

Hope that helps you.

6 0
2 years ago
Read 2 more answers
Calculate the value of the sample variance. Round your answer to one decimal place. 9_5,9_5,2,9_5
Ugo [173]

Answer:

s^2 = 0.01

Step-by-step explanation:

Given

Values: 9/5, 9/5, 2, 9/5

Required

Calculate the sample variance

Sample variance is calculated using:

s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}

First, we calculate the mean

\overline x = \frac{\sum x}{n}

\overline x = \frac{9/5 + 9/5 + 2 + 9/5}{4}

\overline x = \frac{7.4}{4}

\overline x = 1.85

s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1} becomes

s^2 = \frac{(9/5 - 1.85)^2+(9/5 - 1.85)^2+(2 - 1.85)^2+(9/5 - 1.85)^2}{4 - 1}

s^2 = \frac{(-0.05)^2+(-0.05)^2+(0.15)^2+(-0.05)^2}{4 - 1}

s^2 = \frac{0.0025+0.0025+0.0225+0.0025}{3}

s^2 = \frac{0.03}{3}

s^2 = 0.01

<em>Hence, the variance is 0.01</em>

5 0
2 years ago
How to estimate 26.2 and 18.5
atroni [7]
Average or round? 
average: 22.35
rounded: 26 and 19
Hope this is what you wanted!
8 0
3 years ago
A restaurant chain has two locations in a medium-sized town and, believing that it has oversaturated the market for its food, is
scoray [572]

Answer:

Yes, since the test statistic value is greater than the critical value.

Step-by-step explanation:

Data given and notation

\bar X_{1}=360000 represent the mean for the downtown restaurant

\bar X_{2}=340000 represent the mean for the freeway restaurant

s_{1}=50000 represent the sample standard deviation for downtown

s_{2}=40000 represent the sample standard deviation for the freeway

n_{1}=36 sample size for the downtown restaurant

n_{2}=36 sample size for the freeway restaurant

t would represent the statistic (variable of interest)

\alpha=0.05 significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the true mean of revenue for downtown is higher than for freeway restaurant, the system of hypothesis would be:

Null hypothesis:\mu_{1}\leq \mu_{2}

Alternative hypothesis:\mu_{1} > \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.

Determine the critical value.

Based on the significance level\alpha=0.05 and \alpha/2=0.025 we can find the critical values from the t distribution dith degrees of freedom df=36+36-2=55+88-2=70, we are looking for values that accumulates 0.025 of the area on the right tail on the t distribution.

For this case the value is t_{1-\alpha/2}=1.66

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{360000-340000}{\sqrt{\frac{50000^2}{36}+\frac{40000^2}{36}}}}=1.874

What is the p-value for this hypothesis test?

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

p_v =P(t_{70}>1.874)=0.033

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 reject the null hypothesis, and the true mean for the downtown revenue restaurant seems higher than the true mean revenue for the freeway restaurant.

The best option would be:

Yes, since the test statistic value is greater than the critical value.

5 0
2 years ago
What is the simplified form of<br> (4ab)^2
Alex
Use\ (a\cdot b)^n=a^nb^n\\-----------------\\\\(4ab)^2=4^2a^2b^2=\huge\boxed{16a^2b^2}
7 0
3 years ago
Other questions:
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
    5·1 answer
  • Find two possible values of x:
    11·1 answer
  • To find 40% of 75 and calculate 2 of 5 . 75 . Does her calculation Correct value for 40% of 75
    6·2 answers
  • 3x3x3x3x3 to the power of 2 as a single power
    14·1 answer
  • Dinner came out of the oven at 7:15 P.M. after baking for 30 minutes. What time was dinner put into the oven?
    14·2 answers
  • The equation of a circle is given below (x+7) 2 +(y+8)^2 = 4/9
    7·1 answer
  • Solve the exponential equation using the method of relating the bases by first rewriting the equation in the form of e^u=e^v
    10·1 answer
  • At Jefferson High School, there are 250250 students who drive to school and 375375 students who ride the bus to school. The numb
    6·1 answer
  • According to records, the amount of precipitation in a certain city on a November day has a mean of inches, with a standard devi
    13·1 answer
  • Hello! Please help!!!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!