______________________________
1.) Swap sides so that all variable terms are on the left hand side:[tex]5k-2=17[/tex]- This is an optional step. I prefer the numbers to be on the left hand side, but it's not necessary.
Equation at the end of Step 1:
[tex]5k-2=17[/tex][tex]17=5k-2[/tex]2.) Add 2 to both sides:[tex]-2+2=[/tex] Cancels Out[tex]17+2=19[/tex]- When solving problems like this, to get k alone you have to do the opposite of what you see.
- In this case, we have a -2. So to get rid of -2 we do the opposite: +2 on each side.
Equation at the end of Step 2:
[tex]5k=19[/tex]3.) Divide both sides by 5:[tex]5k[/tex] ÷ [tex]5=k[/tex][tex]19[/tex] ÷ [tex]5=3.8[/tex]- When solving problems like this, to get k alone you have to do the opposite of what you see.
- In this case, we have 5 being multiplied by k. So to get rid of the 5 we do the opposite: Divide by 5 on each side.
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Which of the following expressions is equivalent to the expression 42+90?
A. 6(7+14)
B.6(7+15)
C.7(6+12)
D.6(36+84)
Answer:
B
Step-by-step explanation:
6(7+15)
= 6(7) + 6(15)
= 42 + 90
:D it helps!
True or false: sometimes, a quadratic expression cannot be factored.
Answer:
true
Step-by-step explanation:
A national consumer agency selected independent random samples of 45 owners of newer cars (less than five years old) and 40 owners of older cars (more than five years old) to estimate the difference in mean dollar cost of yearly routine maintenance, such as oil changes, tire rotations, filters, and wiper blades. The agency found the mean dollar cost per year for newer cars was $195 with a standard deviation of $46. For older cars, the mean was $286 with a standard deviation of $58. Which of the following represents the 95 percent confidence interval to estimate the difference (newer minus older) in the mean dollar cost of routine maintenance between newer and older cars?
A. (195 - 286) + 1.992 underroot46/45 + 58/40
B. (286 - 195) + 1.992 underroot46^2/45+ 58^2/40
C. (195 - 286)+ 1.992 underrot 140² 158²/45+40
D. (286 - 195) + 1.992 46 1582 45 +40
E. (195-286) +1.992 462 + 58 45 40
Answer:
(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))
Step-by-step explanation:
Given that:
NEWER CARS:
Sample size = n1 = 45
Standard deviation s1 = 46
Mean = m1 = 195
OLDER CARS:
Sample size = n2 = 40
Standard DEVIATION s2 = 58
Mean = m2 = 286
Confidence interval at 95% ; α = 1 - 0.95 = 0.05 ; 0.05 / 2 = 0.025
Confidence interval is calculated thus : (newer--older)
(m1 - m2) ± Tcritical * standard error
Mean difference = m1 - m2; (195 - 286)
Tcritical = Tn1+n2-2, α/2 = T(45+40)-2 = T83, 0.025 = 1.99 (T value calculator)
Standard error (E) = sqrt((s1²/n1) + (s2²/n2))
E = sqrt((46^2/45) + (58^2/40))
Hence, confidence interval:
(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))
The 95% confidence interval for estimating the difference in the mean dollar cost of the routine maintenance between newer and older cars is given by:
[tex]CI=(\overline{x_1} - \overline{x_2}) \pm t_{critical} \sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]
Given that:The first sample consists of owners of newer cars
First sample's size = [tex]n_1 =45[/tex]First sample's mean = [tex]\overline{x_1}=\$195[/tex]First sample's standard deviation = [tex]s_1 = \$46[/tex]The second sample consists of owner of older cars.
Second sample's size = [tex]n_2 = 40[/tex]Second sample's mean = [tex]\overline{x_2}=\$286[/tex]Second sample's standard deviation = [tex]s_2 = \$58[/tex]To find:95% confidence interval for difference between both samples' means.
Calculations and Explanations:Since the sample sizes are > 30, thus we can use the z table for finding the Confidence interval.
The CI is given as:
[tex]CI=(\overline{x_1} - \overline{x_2}) \pm t_{critical} \sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]
For 0.95 probability confidence, we have t at 40+45-3= t at 83 at 0.05/2 is 1.992 (from T tables)
Thus,
[tex]CI=(195-268) \pm 1.992 \sqrt{\dfrac{46^2}{45} + \dfrac{58^2}{40}}[/tex]
Learn more about confidence interval here:
https://brainly.com/question/4249560
which transformation is happening in the image below
Answer:
B.) Reflection over y=-3
Step-by-step explanation:
In order from less complex to more complex, which level of organization is directly after tissue?
A store manager purchases a DVD for $15. He marks it up to $21.75 in order to make a profit. What is the percent of increase?
3x-4+7x-8-10x-2
Simplify
Answer:
The answer is -14
Step-by-step explanation:
P.S Can I have brainliest?
Mike and Joe each receive money for their lunch. Mike receives $100 and spends $3 each day on his lunch. Joe receives $20 and then an additional $5 each day. Joe saves his
money and does not buy lunch. How many days will it take for Mike and Joe to have the same amount of money?
1. If 12 kg of sugar cost $ 250, calculate the cost of 20 kg of sugar.
Answer: 416.7
250/12 = 20.8
20.8 x 20 = 416.7
which statement is true regarding the graphed functions?
Answer:
if -2 refers to the y-intercept "f(-2)=g(-2)" would be correct
Solve for the complimentary angle b
Answer:
b = 38
Step-by-step explanation:
The two angles form a 90 degree angle so they add to 90
b+52 = 90
Subtract 52 from each side
b+52-52 =90-52
b = 38
Answer:
38
Step-by-step explanation:
90-52=38
and the little box indicates it's a right angle which is 90 degrees
What is 39/20 written as decimal ?
Answer:
1.95
Step-by-step explanation:
9 = 40 + 13
Helpppppp I need it due today
Its is equal to 9x6=53 Goodluck
Does -3/4 equal 3/(-4)?
Answer:
Yes
Step-by-step explanation:
When you're dividing 2 numbers, the order of the negatives doesn't matter. As long as one of the numbers is negative, the result will be negative. Since the order of these numbers are the same (with 3 first and 4 second) they will have the same value.
Thirty-five less than the square of a number is the same as 2 times the number. Find the number
9514 1404 393
Answer:
-5 or 7
Step-by-step explanation:
Let x represent the number. The problem statement tells us ...
x^2 -35 = 2x
x^2 -2x -35 = 0 . . . . subtract 2x to put in standard form
(x -7)(x +5) = 0 . . . . . factor
x = 7 or x = -5 . . . . solutions are values of x that make the factors zero
The number could be either -5 or +7.
Tamara draws a tile from a bag and records the results. The bag contains tiles labeled with the letters, W, A, T, E, R, M, E, L, O, and N. Based on this information, which statement is true?
Answer:
These are the statements. I need help to
Step-by-step explanation:
She is 1.5 times less likely to draw a vowel than a consonant.
She is 1.5 times more likely to draw a vowel than a consonant.
She is twice as likely to draw a consonant as a vowel.
Drawing a vowel and a consonant are equal likely.
The ratio of potatoes to turnips is 3:1 if there is 75 potatoes how many turnips are there
Answer:
25
Step-by-step explanation:
let the total of potatoes and turnips be x
total ratio=1+3
=4
3÷4×x=75
3x=75×3
3x=300
x=300÷3
x=100
Help help help help help help pls
Answer:
a.) 36
b.) 18
c.) 27
Step-by-step explanation:
For exercises 16-18 , trace each figure and draw its rotated image
99+99x=0
How to solve this please help
99 + 99x = 0
Subtract 99 from both sides:
99x = -99
Divide both sides by 99
X = -1
Answer:
[tex]x = - 1[/tex]
Step-by-step explanation:
[tex]99 + 99x = 0 \\ collecting \: like \: terms \\ 99x = - 99 \\ divide \: by \: 99 \: on \: both \: sides \\ \frac{99x}{99} = \frac{ - 99}{99} \\ x = - 1[/tex]
Assume that you have a choice between a manufacturing job and a sales job. The annual earnings from the manufacturing job will have a normal distribution with a mean of $40 000 and a standard deviation of $9 000. The annual earnings from the sales job will have a normal distribution with a mean of $35 000 and a standard deviation of $9 000. What is the probability that you would earn more than $45 000 per year if you select one or the other
Answer:
0.42124
Step-by-step explanation:
Manufacturing job :
Mean (m) = 40,000
Standard deviation (s) = 9000
Sales job :
Mean (m) = 35000
Standard deviation (s) = 9000
Probability of earning more than 45000 if one or the other job is selected;
Obtaining the standardized scores and probability for each :
Z = (x - m) / s
P(x > 45000)
Z = (45000 - 40000) / 9000 = 0.5555
= 0.56
P(Z > 0.56) = 0.28774(Z probability calculator)
For sales :
P(x > 45000)
Z = (45000 - 35000) / 9000 = 1.1111111
= 1.11
P(Z > 1.11) = 0.1335 (Z probability calculator)
0.28774 + 0.1335 = 0.42124
I gave extra points and I will give brainliest
Which of these is an example of a random sample?
A. Mrs. Baker selects the 10 students who raised their hands to volunteer to fill out a survey.
B. Mrs. Baker selects the 10 students whose names are drawn from a bag to fill out a survey.
C. Mrs. Baker selects the 10 students who arrived to class first on Monday to fill out a survey.
D. Mrs. Baker selects the 10 students with the highest grade point averages to fill out a survey.
Answer:
I think it's A.
Step-by-step explanation:
I hope it is helpful to you
Solve for a
-3=a+4
I need some help today
If it takes 3 gallons of gas to go 60 miles, how many gallons of gas does it take to go 440 miles at the same rate?
Answer:
it would take 22 gallons of gas
Step-by-step explanation:
3 divided by 60
that’s the amount of gas per single mile
then that number times 440 (number of miles you wish to go).
Find the distance between a point (-7,-19) and a horizontal line at y = 3 .
The line is horizontal so the x value of the dot doesn’t matter because the x is a horizontal location.
The vertical distance would be the y value to the line.
-19 to 0 would be 19 and from 0 to 3 is 3
Total distance is 19 + 3 = 22
The answer is 22
Help me out here pleaseeeeee
Answer:
C
Step-by-step explanation:
Robert pays $32.04 for 6 student tickets to the basketball game. What is the cost of each student ticket?
Answer:
$5.34
Step-by-step explanation:
Step-by-step explanation:
$5.34
hope it helps!
......
Please help I need this answer. Answer ALL 3 questions to get free brainliest.
Tyler’s brother works in a shoe store.
A: Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $900 worth of shoes. How much was his commission?
B: The store bought a pair of shoes for $50, and sold it for $80. What percentage was the markup?
C: Tyler’s brother earns $12 per hour. The store offers him a raise—a 5% increase per hour. After the raise, how much will Tyler’s brother make per hour?
Answer:
a. $22.50
b. 60%
c. $12.60/hr
Step-by-step explanation:
a. $900*0.025 = $22.50
b. $80-$50 = $30
$30/$50 = .60
.60*100% = 60%
c. $12*1.05 = $12.60
Answer:
1. $22.50
2. 60%
3. $12.60
Step-by-step explanation:
This time I put all three answers check for yourself
the question is below thanks
Answer:
[tex]10.02[/tex] units
Step-by-step explanation:
[tex]FH = \frac{82}{360} \times 2 \pi r[/tex] (Multiplying the circumference of the circle by the arc's degree over the total degree of the circle will find the length of the arc [tex]FH[/tex])
[tex]FH = \frac{82}{360}\times 2 \pi (7)[/tex]
[tex]=\frac{82}{360}\times14\pi[/tex]
[tex]=\frac{287\pi}{90}[/tex]
[tex]=10.02[/tex] (to the nearest hundredth)
∴ The length of the arc [tex]FH[/tex] is 10.02 units to the nearest hundredth.
Hope this helps :)
A bag contains 5 red marbles, 3 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue when one marble is drawn from the bag?
Answer:
4/9
Step-by-step explanation:
simplify if you ned
d to
n(s) = 9
n(e) = 6
p(e) = 6/9 = 2/3
Step by step explanation
1. n(s) = Number of sample space
2. n(e) = Number of events
here , question asks to find the probability of marbles that are not blue , that means
red and green so n(e) = 6
3. p(e) = probability