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
77julia77 [94]
2 years ago
13

Using the following image, if you EG = 59, what are x, EF, and FG.

Mathematics
1 answer:
Harman [31]2 years ago
8 0

Answer:

x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units

Step-by-step explanation:

Given: EG =59 \,\,units

To find: x,EF,FG

Solution:

From the image, EG=EF+FG

Put EF=8x-14\,,\,FG=4x+1\,,\,EG=59

8x-14+4x+1=59\\12x-13=59\\12x=59+13\\\\12x=72\\x=\frac{72}{12}=6

EF=8x-14=8(6)-14=48-14=34\\FG=4x+1=4(6)+1=24+1=25

Therefore,

x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units

You might be interested in
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
Factor x^2+5x-50<br> A. (x+25)(x-2)<br> B. (x-5)(x+10)<br> C. (x-10)(x+5)<br> D. (x+2)(x-25)
Drupady [299]
The answer would be B
7 0
3 years ago
Find the volume. SHOW WORK
Anettt [7]

Answer:

827.39

Step-by-step explanation:

Volume = L X W X H

So 6.2 X 8.5 X 15.7

6.2 X 8.5 = 52.7

52.7 X 15.7 = 827.39

So the volume is <u>827.39</u>

3 0
2 years ago
Read 2 more answers
Can you use elimination to solve a system of linear equations with three equations
crimeas [40]
You can use elimination to solve systems of equations with 3 equations. I know how to solve systems of equatons with 3 equations, but I use a different process, I don't know how to use the elimination method.
7 0
3 years ago
Read 2 more answers
Simplify. 5 - 2(x - 3)
V125BC [204]
To solve this, we simply need to remember our rules about order of operations. They tell us that first, we should distribute the 2 with the rest of the parentheses.

5-2(x-3)
5-2x+6

Next, we should combine our like-terms.

5-2x+6
11-2x

Seeing as we do not know the value of the variable, the simplest form of the expression is 11-2x.
3 0
3 years ago
Other questions:
  • A book of stamps costs $9.80 $ 9 . 80 . The expression 9.8 9 . 8 n represents the price of one stamp. What does the variable n r
    9·1 answer
  • How can I solve that
    9·1 answer
  • Choose an equation in slope-intercept form for the line that passes through (0,7) and is parallel to the y=4x-19
    9·2 answers
  • A window is 12 feet above the ground. A ladder is placed on the ground to reach the window. If the bottom of the ladder is place
    14·2 answers
  • A music video website received 5,000 comments on a new song they released. After the artist performed the song on television, th
    7·1 answer
  • Help pls I will give 20 points
    8·1 answer
  • One of these scenarios represents a direct variation and one does not. How can you tell the difference? a) A large pizza with on
    8·1 answer
  • Help me find the surface area ​
    15·1 answer
  • What is 1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1
    10·2 answers
  • Place the appropropriate symbol betwen each of the following pairs of numbers a: -4
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!