Answers
Answer:
TS=22
Step-by-step explanation: Since we know the triangles are proportional, we need to set up an proportion to find TS. First, let find which sides are correspond with each, TS and MN does and US and NQ does. So we set up a proportion that includes.
TS/US=MN/NQ: Let plug in the numbers
3x+1/26=5x-2/39: Then cross multiply
39(3x+1)=26(5x-2): Then simplify
117x+39=130x-52: Subtract 117x from both sides
39=13x-52: Add 52 to both sides
91=13x: Divide 13 by both sides
7=x: Then plug it in to TS
3(7)+1=22
Related Questions
A cell phone company offers two plans to its subscribers. At the time new subscribers sign up, they are asked to provide some demographic information. The mean yearly income for a sample of 39 subscribers to Plan A is $55,575 with a standard deviation of $8,970. For a sample of 29 subscribers to Plan B, the mean income is $59,475 with a standard deviation of $6,942.
At the .025 significance level, is it reasonable to conclude the mean income of those selecting Plan B is larger? Hint: For the calculations, assume the Plan A as the first sample.
The test statistic is ______. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
The decision is _______
the null hypothesis that the mean of Plan B is larger.
The p-value is ______
(Round your answer to 2 decimal places.)
Answers
Answer:HI
Step-by-step explanation:HI
Is the expression 3(x+1 1/2)-3 equivalent to 3x+ 1 1/2
Answers
Answer:
Yes
Step-by-step explanation:
3(x+5.50)-3
3x+16.50)-3
-3(3x+16.50)
4(x+4) + 2x = 52 need answer
Answers
Answer:
x=6
Step-by-step explanation:
Installation of a certain hardware takes a random amount of time with a standard deviation of 5 minutes. A computer technician installs this hardware on 64 different computers, with the average installation time of 42 minutes. Compute a 95% confidence interval for the mean installation time. Explain your interval in context.
Answers
Answer:
The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96*\frac{5}{\sqrt{64}} = 1.225[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 42 - 1.225 = 40.775 minutes
The upper end of the interval is the sample mean added to M. So it is 42 + 1.225 = 43.225 minutes
The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.
The 95% confidence interval for the mean installation time is (40.775, 43.225) and this can be determined by using the formula of margin of error.
Given :
Standard deviation is 5 minutes. Sample size is 64.Mean is 42 minutes.95% confidence interval.The following steps can be used in order to determine the 95% confidence interval for the mean installation time:
Step 1 - The formula of margin of error can be used in order to determine the 95% confidence interval.
[tex]M = z \times \dfrac{\sigma}{\sqrt{n} }[/tex]
where z is the z-score, [tex]\sigma[/tex] is the standard deviation, and the sample size is n.
Step 2 - Now, substitute the values of z, [tex]\sigma[/tex], and n in the above formula.
[tex]M = 1.96 \times \dfrac{5}{\sqrt{64} }[/tex]
[tex]M = 1.225[/tex]
Step 3 - So, the 95% confidence interval is given by (M - [tex]\mu[/tex], M + [tex]\mu[/tex]) that is (40.775, 43.225).
The 95% confidence interval for the mean installation time is (40.775, 43.225).
For more information, refer to the link given below:
https://brainly.com/question/6979326
To thank her five volunteers mai gave each of them the same number of stickers then she gave them each two more stickers altogether she gave them a total of 30 stickers
Answers
Answer: 4
Step-by-step explanation:
I got it right when i did my math
The equation which represents the given situation is 5(y + 2) = 30 and the value of y = 4.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
Total number of volunteers = 5
Mai gave each of them the same number of stickers.
Let y be the number of stickers she gave to each of them.
Then she gave 2 more stickers to each of them.
Then number of stickers each has = y + 2
Total number of stickers = 30
5(y + 2) = 30
5y + 10 = 30
5y = 20
y = 4
Hence the number of stickers each one has is 4.
Learn more about Equations here :
https://brainly.com/question/29657983
#SPJ2
9-3 divided by 1/3 + 1
Answers
Answer:
1
Step-by-step explanation:
Jessica cuts a ribbon with a length of 12 inches into three pieces such that the length of
one piece is 3 1/2 inches and the lengths of the other two are the same. What is the length of each of the other two pieces?
A. 2 1/2 inches
B. 4 1/4 inches
C. 7 3/4 inches
D. 8 1/2 inches
Answers
Answer:
B 4 1/4
Step-by-step explanation:
Answer:
Its B. 4 1/4
Step-by-step explanation:
How it helps!
10 MINUTES UNTIL I HAVE TO TURN TEST IN
HELP PLS :)
Answers
Answer:
10) Total Discount = $15 dollars; New Amount = $60 dollars.
11) Total Markup = $3,750 dollars; New Amount = $28,750 dollars.
12a) Percent Increase from $100 to $150: 50% increase.
12b) Percent Decrease from $150 to $100: 33.33% decrease.
Step-by-step explanation:
I would be more than happy to show my work, but I see that you have to submit your test soon, so I will just leave it at this for now. If you need any clarification, I am more than happy to help. Feel free to give me Brainliest if you feel this helped! Have a good day, and good luck on your test. :)
Please help!! Will make brainliest
Answers
UmmmmAnswer:
Step-by-step explanation:
Peyton and her children went into a restaurant and where they sell drinks for $3 each
and tacos for $4 each. Peyton has $40 to spend and must buy at least 10 drinks and
tacos altogether. If Peyton decided to buy 4 drinks, determine all possible values for
the number of tacos that she could buy. Your answer should be a comma separated
list of values. If there are no possible solutions, submit an empty answer.
Answers
Answer:
7,6
Step-by-step explanation:
So in total Peyton must buy 10 items. Since she's already buying 4 drinks. We need to find the amount of tacos the max amount of tacos she can buy are 7 tacos and the minimum is 6 because if we bought less than 6 it wouldn't have met the criteria for 10 items minimum. And if we passed 7 tacos it would go past the limit of how much money Peyton has. I hope this helped:)
Solve the system of equations
Answers
R= 584
If have any problem, tell me^_^
Describe how to plot the point (-1, -2)
Where do you start? How many units do you go to the left or right? How many units it’s do you go up or down?
Answers
5 cards are drawn at random from a standard deck. Find the probability that all cards are face cards.
Answers
Answer:
99 / 324,870 or 3%
Step-by-step explanation:
there are 12 face cards out of a total of 52 cards
probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]
The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Calculation of the probability:Since 5 cards are drawn at random from a standard deck
Also, we know that
there are 12 face cards out of a total of 52 cards
So here the probability be like
[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]
= [tex]99 / 324,870[/tex]
Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Learn more about probability here: https://brainly.com/question/21102470
Need help ASAP
Will mark you brainlist
Answers
Answer:
Step-by-step explanation:
Brayden's car travels 37.1 miles per gallon.
Dylan's car travels 48.4 miles/(2 gallons) = 24.2 miles per gallon.
37.1 - 24.2 = 12.9
Dylan's car gets 12.9 miles per gallon less than Brayden's car.
Which relation is a function?
{(1, −1), (−2, 2), (−1, 2), (1, −2)}
{(1, 2), (2, 3), (3, 2), (2, 1)}
{(1, 4), (2, 3), (3, 2), (4, 1)}
{(4, 2), (3, 3), (2, 4), (3, 2)}
Answers
Answer:
c
Step-by-step explanation:
because all the x values in c are different
Pls help will give brainlest to first person who answer correct 50 points
Answers
Answer:
-25/3
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer:
x = - 25/3Step-by-step explanation:
10/3 = x/(-5/2)x = 10/3*(-5/2)x = - 25/3A cable TV company has a $35 installation fee and a $15 monthly rate. Write an equation in slope-intercept form to describe the cost of cable TV for any number of months. Use x for the number of months and y for the total cost.
Answers
Answer:
y=15x+35
Step-by-step explanation:
15 every month and 35 for instant charge
Gabe Amodeo, a nuclear physicist, needs 90 liters of a 50% acid solution. He currently has a 30% solution and a 60% solution. How many liters of each does he need to make the needed 90 liters of 50% acid solution?
Answers
Answer:
You need two equations: one for solution amounts and one for alcohol amounts.
Step-by-step explanation:
90 = X + Y
45 = (0.6)/X + (0.3)Y
Here X = amount of 60 % solution and Y = amount of 30 percent solution. Note that percentages have been converted to decimal amounts in the second equation.
From here you have to solve two equations with two unknowns. Easiest to solve first equation for X = 90 - Y, then substitute into second equation. this get you one equation in one unknown. Solving you you will get
X = 30 liters and Y = 60 liters.
Determine the relationship between the two triangles and whether or not they can be proven to be congruent
Answers
Answer:
The two triangles are related by AAS, so the triangles are congruent.
Step-by-step explanation:
Two angles and a non-included side of one triangle are congruent to corresponding two angles and an included side in the other triangle. Therefore, we can conclude that the two triangles are related by the AAS Congruence Criterion. Hence, both triangles congruent to each other.
Please help I’ll mark you as brainliest if correct
Answers
Answer:
72 cm³ (see below)
Step-by-step explanation:
First, refer to the volume formula:
V = l · w · h
If you plug in all of your values and simplify, you'll get the volume:
l = 6 cm
w = 3 cm
h = 4 cm
V = (6) (3) (4)
V = 18 (4)
V = 72 cm³
Because this is volume, the measurements are units cubed, meaning it's cm³.
"Out of" is used when you want too divide . True or false ?
Answers
Answer:
I think it's true
Step-by-step explanation:
Answer: this is true
Step-by-step explanation:
The term out of is express as a fraction
Example:
1/2
This is 1 out of 2
Hope this helps ;)
The cost of tuition at a 2 year school is $14,000 per academic year. Todd is eligible for $6,500 in financial aid to cover tuition each year. He will save money for one year to cover the remaining cost of tuition for his two years of school.
What is the minimum amount of money he needs to save each month?
$540
$625
$675
$1,250
Answers
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
Proportionally means
2 fractions (ratios) are NOT equal
2 fractions (ratios) are equal
Answers
Answer:
2 fractions are equal
Step-by-step explanation:
We say that two quantities are proportional if one is always the same multiple of the other.
Say a recipe calls for 2 cups of flour to 3 eggs. That proportion, 2 cups flour : 3 eggs, will always stay the same, no matter how many serving we make. If we make 2 servings, we'd double to 4 cups and 6 eggs, but that wouldn't change the proportion. After all,
[tex]\frac{2}{3}=\frac{4}{6}[/tex]
help plz will give brainlyest
Answers
Answer:
A. Cendric is correct because he used the inverse of subtraction and added 4.5
Step-by-step explanation:
To solve for x, all we needed to do was to make x stand alone. To do this, we have to apply addition property of equality. This means we would add 4.5 to both sides for the equation to balance. Thus, we would have z standing alone which equals 3.
Therefore, Cendric was correct because he used the inverse of subtraction of -4.5, which is 4.5 that was later added to both sides of the equation.
Tori earned $62.86 as a bonus from her job. She decided to buy as many CDs as possible since they were on sale for $8.80 each. Estimate how many CDs Tori can buy.
Answers
Answer:
approximately 7 CDs for her bonus
Answer:
Toris can buy about 7 CDs
Step-by-step explanation:
63 Divided by 9 = 7
Which fraction is equal to 35%?
O A.
100
350
O B.
100
35
C.
3.5
100
D.
35
100
Answers
Answer: D 35/100
Step-by-step explanation: if you divide 35/100, the answer would be .35, which is the decimal form of 35%.
(Click the Picture for my question) and thank you!
Answers
Answer:
D
Step-by-step explanation:
By definition, π is defined to be the ratio of a circle's circumference to its diameter. In other words:
[tex]\displaystyle \pi=\frac{C}{d}[/tex]
In fact, if you multiply both sides by the diameter d, you can see that:
[tex]C=\pi d[/tex]
Which is the formula for circumference you've been commonly taught.
What number is 120% of 16?
Answers
Answer:19.2
Step-by-step explanation:
Someone please help me with this thank you
Answers
If mQOS = 46, and mPOR = 61
and mPOQ = 28, what is mROS?
Answers
Answer:
ROS = 225°
Step-by-step explanation:
The four corners of the squares add up to 360°
Hope it helps you
Angles at a point add up to [tex]360^o[/tex]. The measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]
Given that:
[tex]m\angle QOS = 46^o[/tex]
[tex]m\angle POR = 61^o[/tex]
[tex]m\angle POQ = 28^o[/tex]
The 4 angles (i.e. QOS, POR, POQ and ROS) are all angles at a point (i.e. point O).
This means that we can apply the angle at a point theorem.
The theorem is represented as:
[tex]m\angle QOS +m\angle POR +m\angle POQ + m\angle ROS = 360^o[/tex] --- i.e. angles at a point add up to [tex]360^o[/tex]
So, we have:
[tex]46^o + 61^o + 28^o + m\angle ROS = 360^o[/tex]
[tex]135^o + m\angle ROS = 360^o[/tex]
Collect like terms
[tex]m\angle ROS = 360^o -135^o[/tex]
[tex]m\angle ROS = 225^o[/tex]
Hence, the measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]
Learn more about angles at:
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