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
Natasha2012 [34]
3 years ago
8

4 - t = 3(t-1) - 5 A 3 B 6 C no solution D Identity

Mathematics
1 answer:
Ket [755]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Given

4 - t = 3(t - 1) - 5 ← distribute and simplify right side

4 - t = 3t - 3 - 5

4 - t = 3t - 8 ( subtract 3t from both sides )

4 - 4t = - 8 ( subtract 4 from both sides )

- 4t = - 12 ( divide both sides by - 4 )

t = 3

You might be interested in
What is the surface area of a sphere with radius 4?
Verdich [7]

Answer:

SA =64 pi units ^2

Step-by-step explanation:

The surface area of a sphere is given by

SA = 4 pi r^2

SA = 4 * pi * 4^2

SA =64 pi

SA =200.96

7 0
3 years ago
Plz help due tonight
rusak2 [61]

Answer:

The bottom left square of the triangle in 90 degrees always so take 90 + 40 giving you 130,

a Triangle has 180 degrees in total so 180 -130 = 50 degrees for the last side

5 0
2 years ago
Read 2 more answers
A sample of 200 observations from the first population indicated that x1 is 170. A sample of 150 observations from the second po
igor_vitrenko [27]

Answer:

a) For this case the value of the significanceis \alpha=0.05 and \alpha/2 =0.025, we need a value on the normal standard distribution thataccumulates 0.025 of the area on each tail and we got:

z_{\alpha/2} =1.96

If the calculated statistic |z_{calc}| >1.96 we can reject the null hypothesis at 5% of significance

b) Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{170+110}{200+150}=0.8  

c)z=\frac{0.85-0.733}{\sqrt{0.8(1-0.8)(\frac{1}{200}+\frac{1}{150})}}=2.708    

d) Since the calculated value satisfy this condition 2.708>1.96 we have enough evidence at 5% of significance that we have a significant difference between the two proportions analyzed.

Step-by-step explanation:

Data given and notation    

X_{1}=170 represent the number of people with the characteristic 1

X_{2}=110 represent the number of people with the characteristic 2  

n_{1}=200 sample 1 selected  

n_{2}=150 sample 2 selected  

p_{1}=\frac{170}{200}=0.85 represent the proportion estimated for the sample 1  

p_{2}=\frac{110}{150}=0.733 represent the proportion estimated for the sample 2  

\hat p represent the pooled estimate of p

z would represent the statistic (variable of interest)    

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

\alpha=0.05 significance level given  

Concepts and formulas to use    

We need to conduct a hypothesis in order to check if is there is a difference between the two proportions, the system of hypothesis would be:    

Null hypothesis:p_{1} = p_{2}    

Alternative hypothesis:p_{1} \neq p_{2}    

We need to apply a z test to compare proportions, and the statistic is given by:    

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

a.State the decision rule.

For this case the value of the significanceis \alpha=0.05 and \alpha/2 =0.025, we need a value on the normal standard distribution thataccumulates 0.025 of the area on each tail and we got:

z_{\alpha/2} =1.96

If the calculated statistic |z_{calc}| >1.96 we can reject the null hypothesis at 5% of significance

b. Compute the pooled proportion.

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{170+110}{200+150}=0.8  

c. Compute the value of the test statistic.                                                                                              

z-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.    

Replacing in formula (1) the values obtained we got this:    

z=\frac{0.85-0.733}{\sqrt{0.8(1-0.8)(\frac{1}{200}+\frac{1}{150})}}=2.708    

d. What is your decision regarding the null hypothesis?

Since the calculated value satisfy this condition 2.708>1.96 we have enough evidence at 5% of significance that we have a significant difference between the two proportions analyzed.

5 0
3 years ago
$300 base price plus $20 per guest for up to 30 guests
belka [17]

Answer:

20 is the rate of change/slope

7 0
2 years ago
Read 2 more answers
It is an obtained solution to an equation which makes the original equation undefined.
Digiron [165]
Extraneous root since dividing by zero is undefined
8 0
3 years ago
Other questions:
  • Triangle DEF is similar to triangle ABC, and the length of EF is 5cm. What are the lengths of sides DE is 6cm and DF is 8cm cent
    10·1 answer
  • One hundred people in a music store were surveyed about what type of they prefer. If 35% of them said they prefer rock music, ho
    6·1 answer
  • A circular table has a diameter of 20 inches.what is the area of the table
    5·2 answers
  • Tina Zappa purchased a three-pack of facial tissues for $2.98. What is the unit price per pack rounded to the nearest tenth of a
    8·2 answers
  • Solve this application using logarithms. How long will money in savings take to double at 5% interest compounded annually? Round
    15·1 answer
  • The least common denominator of<br><br> 3/2 and 2/3
    8·1 answer
  • Misty correctly determined the equation of the linear function represented by the table of values below to be in slope-intercept
    9·2 answers
  • What is the slope of a line that is perpendicular to the line y = 1?
    12·1 answer
  • Find the unknown length y in the following pair of similar triangles.
    6·1 answer
  • It is 5
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!