Answer:
2x - 3 = 5(x + 6)
2x - 3 = 5x + 30
-33 = 3x
x = -11
Answer:
x= -11
Step-by-step explanation:
1. Expand and distribute.
2x - 3 = 5x + 30
2. Subtract 2x from both sides.
2x - 3 = 5x + 30
-2x -2x
---------------------
-3 = 3x + 30
4 Subtract 30 from both sides.
-3 = 3x + 30
-30 -30
---------------------
-33 = 3x
6. Divide both sides by 33.
-33/3 = 3x/3
-11 = x
7. Switch sides
x = -11
Create an algebraic expression to solve the following problems.
a) Jeff’s cell phone plan charges him $10 per GB with no extra fees. How much will his bill be for 6 GB?
b) Marks cell phone charges him $8 per GB and a monthly fee of $15 how much will his bill be for 10 GB
c) Ricks cell phone plan charges him $5 per GB and a monthly for of $30. How much will his bill be for 2 GB?
PLEASE ANSWER PLEASE
Answer:
Step-by-step explanation:
x is the number of GB
f(x) is the cost in dollars
f(x) = 10x
Bill for 6 GB = f(6) = 60
:::::
f(x) = 8x+15
Bill for 8 GB = f(10) = 95
:::::
f(x) = 5x+30
Bill for 2 GB = f(2) = 40
A car rental company is interested in the amount of time its vehicles are out of operation for repair work. A random sample of 21 cars showed that, over the past year, the numbers of days that each of these cars had been inoperative were as follows: 15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14 Assuming that the population is normally distributed, construct a 95% confidence interval for the mean number of days that vehicles in the company's fleet are out of operation.
Answer:
(10.891; 15.869)
Step-by-step explanation:
Given the data::
15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14
The confidence interval is obtained using the relation :
Mean ± margin of error
Margin of Error = Zcritical * s/sqrt(n)
Using a calculator, the mean value of the data and standard deviation above is :
Mean = Σx / n ; n = sample size
Mean, xbar = 281 / 21
Mean = 13.38
Standard deviation , s = sqrt[Σ(X - xbar)²/ n-1]
Standard deviation, s = 5.82
Margin of Error = Zcritical * s/sqrt(n)
Zcritical at 95% confidence level = 1.96
Margin of Error = 1.96 * 5.82/sqrt(21) = 2.489
Confidence interval :
Mean ± margin of error
13.38 ± 2.489
Lower boundary = (13.38 - 2.489) = 10.891
Upper boundary = (13.38 + 2.489) = 15.869
(10.891; 15.869)
BRAINLIEST FOR ALL 3 CORRECT ANSWERS, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answer:
1. quarter turn 2. B 3. (b,-a)
Step-by-step explanation:
Solve for 0 Round your answer to the nearest tenth.
20
13
A =
degrees
Answer:
1.835
Step-by-step explanation:
use pythagoras theorem to find missing side
use sin to find missing angle
missing side/13 = 1.835
PLS ANSWER QUICK, HELP
Answer:
1014 in
Step-by-step explanation:
(13 x 13) x 6 = 1014 in^3
Answer:
The answer should be A (676)
Step-by-step explanation:
On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below. x 0 1 2 3 4 5 Total P(x) .02 .31 .25 .19 .13 .10 1.00 (a) Calculate the mean and standard deviation. (Round your mean value to 2 decimal places and standard deviation to 3 decimal places.) Mean Standard deviation (b) Describe the shape of this distribution. multiple choice Skewed to the right Skewed to the left Symmetric
Answer:
Mean = 2.40
Standard deviation = 1.356
Step-by-step explanation:
Given the data:
X :___ 0 __1 ___ 2 ___ 3 __ 4 __ 5 __Total
P(x)_0.02_0.31_0.25_0.19_0.13 _0.10_ 1.00
The mean [E(X)]
Σx*p(x)
(0*0.02)+(1*0.31)+(2*0.25)+(3*0.19)+(4*0.13)+(5*0.10) = 2.4
The standard deviation :
Std(x) = sqrt[VAR(x)]
Var(x) = ((0^2 * 0.02)+(1^2 * 0.31)+(2^2 * 0.25)+(3^2 * 0.19)+(4^2 * 0.13)+(5^2 * 0.10)) - 2.4^2
Var(X) = 7.6 - 5.76 = 1.84
Std(X) = sqrt(1.84) = 1.356 (3 decimal places)
1 Which expression can be used to find the volume, in cubic centimeters, of the solid shown? Choose all that apply. 3 cm 4 cm 7 cm 5 cm 9 cm A (3 X 4 X 5) + (3 X 5 X 9) B (3 X 5 X 6) + (5 X 4 X 3) C (9 X 5 X 3) + (3 X 5 X 7) D (7 X 5 X 3) + (6 X 5 X 3) E (3 X4 X 7) + (6 X 5 X 4)
Answer:
I think its D
Step-by-step explanation:
A set of data is Normally distributed with a mean of 25 and a standard deviation of 5. What percent of values are between the z-values –0.4 and 0.6? Round to the nearest whole percent.
Use the z-table to answer the question.
9%
19%
38%
49%
Answer:
38%
Step-by-step explanation:
Answer:
38% is correct
ED2021
Please please help please
Answer:
Greater Than [The second choice]
Step-by-step explanation:
Factor by removing a common
1. 3a +9ab
Answer:
3a(1+3b)
Step-by-step explanation:
First step is to find the greatest common factor between these two terms, which is 3a. Next you'll need to divide the two terms by that factor, which would give you what would be in the parenthesis, placed the factor in front to signify the multiplication of those terms and voila, you got the fully factored form.
HELPPP PLSSS
ANSWER ALL PLS HELP AND EXPLAIN HOW YOU GOT YOUR ANSWER
Answer:
1. 64
2. 36
3. 32
4. 20
5. 33
6. 30
Step-by-step explanation:
Sorry I can't see the symbols on questions 7-9
Please please help please
Answer:
Your answer will be D. 15,840:) you're welcome, have a great day:)!
What is the range of y=4sin(x)-2
Answer:
According to me it should be -6 [tex]\leq[/tex] y [tex]\leq[/tex] 2.
Step-by-step explanation:
In triangle PQR, find the measure of angle P .
Answer:
P=0.94619355852°
Step-by-step explanation:
Use cos:
cosA=adjacent/hypotenuse
cosP=33.8/57.8
P=arccos(0.5847750865)
P=0.94619355852°
Answer:
54.1
Step-by-step explanation:
If you put the reverse cos sign and divide 33.8 by 57.6 you get 54.069…
that’s the answer. In the calculator it should look like this (check attached image)
192, 96, 48, 24 what are the next three terms
Answer:
12,6,3
Step-by-step explanation:
its dividing by half
Solve percent problems (if anyone has done this test can you please screen shot it or just type the answers) Thank you very much!
Simplify 42 ⋅ 48.
Please help with this!
Answer:
Step-by-step explanation:
a^x. a^y=a^{x+y}
4²*4^8=4^{10}
Answer:
4 to the power of 10
Step-by-step explanation:
solve the system of linear equations by elimination. 6x-4y=18 3x+2y=-3
Answer:
y = -3
x = 1
Step-by-step explanation:
6x-4y=18
3x+2y=-3, so 3x = -2y - 3, then x = (-2y - 3)/3
substitute for x:
6((-2y - 3)/3) - 4y = 18
2(-2y - 3) - 4y = 18
-4y - 6 - 4y = 18
-8y - 6 = 18
-8y = 24
y = -3
x = (-2(-3) -3)/3 = 1
Il means
* is equal to
* is parallel to
*lines
* therefore
* none of these
Help on this one please
Answer:
74.2
Step-by-step explanation:
First think of a whole circle. The area of a circle is pi*r^2., which is 81 pi. Then the fraction of the circle is 105/360. Times this by 81 pi and you get about 74.2 and that is the answer.
By the way, can you follow me? Thanks!
Pioneer company has given an aptitude test to 71 potential job applicants. The test score had an average of 81 and a standard deviation of 8. Aptitude tests are known to follow a t-distribution. Pioneer rejects the bottom 5% of the applicants right away. The top 5% are hired immediately at managerial positions.
A. What is the degrees of freedom for this distribution?
B. What is the t-score for someone who has scored 93?
C. What is the cutoff score for those who'll be hired as managers?
D. What will be the cutoff score fro those who'll get rejected right away?
E. If we want to define the middle of the class (80%) to be average, what will be the lower cut-off scores?
F. If we want to define the middle of the class (80%) to be average, what will be the upper cut-off scores?
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
In point A:
[tex]\to df = n - 1 = 71-1= 70[/tex]
In point B:
[tex]\to t = \frac{(x -X)}{s} = \frac{(93-81)}{8} = \frac{12}{8}= 1.5[/tex]
In point C:
For df = 70, the top 5% critical t score
tcrit = 1.666914479
Thus,
[tex]\to 1.666914479 = \frac{(x - 81)}{8}\\\\\to 1.666914479 \times 8 = (x - 81)\\\\\to 13.335315832 = (x - 81)\\\\\to 13.335315832 +81 =x \\\\\to x= 94.335315832[/tex]
In point D:
For df = 70, the top 5% critical t score
tcrit = -1.666914479
[tex]\to -1.666914479 = \frac{(x - 81)}{8}\\\\\to -1.666914479 \times 8= (x - 81)\\\\\to -13.335315832= (x - 81)\\\\\to -13.335315832+81 = x \\\\\to x = 67.664684168\\\\[/tex]
In point E:
The lower cutoff is 0.10 in the center, which would be around 80 %. The critical point therefore is
tcrit = -1.293762898
[tex]\to -1.293762898 = \frac{(x-81)}{8}\\\\\to -1.293762898 \times 8= (x-81) \\\\\to -1.293762898 \times 8= (x-81) \\\\\to -10.350103184=x-81\\\\\to -10.350103184+81=x\\\\\to x=70.649896816[/tex]
In point F:
The lower cutoff is 0.90 in the center, which would be around 80 %. The critical point therefore is
tcrit = 1.293762898
[tex]\to 1.293762898 = \frac{(x-81)}{8}\\\\\to 1.293762898 \times 8= x-81\\\\\to 10.350103184 =x-81\\\\\to 10.350103184 +81=x\\\\\to x = 91.350103184\\[/tex]
Which is the graph of x - y = 1?
y
y
5
5
4
4
3
3
3
2
2
2
1
1
4
3
1 2
5
5
4-3-2-1,
1 2 3 4 5 X
4
1 2 3
5-4-3-2-11
5-4-3-2-1
2
-2
2-
-3
3
4
4
5
5
ly
5
4
3
Answer:
the 3rd graph
Step-by-step explanation:
The graph which represents x-y = 1 is; The 3rd graph.
Graph of a straight lineFrom the task content, the given equation of the line is; x - y = 1.
By rearranging the equation to take the slope-intercept form;.
y = x - 1.Hence, slope of the graph is 1 and the y-intercept of the graph is -1.
On this note, only the 3rd graph satisfies the conditions above.
Read more on graph of a straight line;
https://brainly.com/question/14323743
HELP DUE IN 2 MINUTESS!!!! PLS HELP
An Urn contains 6 red marbles and 9 white marbles. A marble is drawn and put back into the urn. Both marbles were red. If another marble is drawn, what is the probability of it being white?
Answer:
3/5
Step-by-step explanation:
favorable outcomes/total number of outcomes=probability
Answer:
[tex] \frac{3}{5} [/tex]
Step-by-step explanation:
Previous extractions do not influence the probability
Factor out the common terms: 24a + 12b - 40c
I'll give brainliest
Answer:
4(6a+3b-10c)
Step-by-step explanation:
Answer and Step-by-step explanation:
All of the terms have a common factor of 4.
4(6a + 3b - 10c)
#teamtrees #PAW (Plant And Water)
A retiree invests $7,000 in a savings plan that pays 7% per year. What will the account balance be at
the end of the first year?
Answer:
$6510
Step-by-step explanation:
First thing that should come to mind is: What is 7% of $7000?
Well, if you don't know how to find a percent of something, this is the formula you use:
7000 x 0.07 = 490.
In the first year, they will receive 490 out of the 7000 they've invested.
7000 - 490 = 6510.
Therefore, the account balance at the end of the first year will be 6510.
The account balance at the end of first year will be equal to $6510.
What do you mean by percentage ?
Percentage is the relative value indicating one hundredth part of any quantity.
It is given that a retiree invests $7000 in a savings plan which pays 7% per year. So , it meant that we need to calculate that what is the value 7% of $7000.
So , 7% of $7000 is :
= 7000 × [tex]\frac{7}{100}[/tex]
= $490
It is known that this amount is paid as per plan per year. So, to find out the account balance at the end of the first year , we need to subtract the invested amount to the amount per year at 7%.
So , the account balance at the end of first year will be :
= 7000 - 490
= $6510
Therefore , the account balance at the end of first year will be equal to $6510.
Learn more about percentage here :
brainly.com/question/22091903
#SPJ2
-7x+4y=32
-5x-2y = -16
elimination method explain please
Answer:
(0,8)
Step-by-step explanation:
-7x+4y=32
-10x-4y=-32
-17x=0
x=0
-5×0-2y=-16
y=8
(0,8)
17.
Which pair of numbers is relatively prime? *
7 & 21
4 & 15
ОООО
6 & 9
9 & 27
Answer:
9 & 27
Step-by-step explanation:
since all prime numbers above 5 end in 1,3,7 and 9then to find a prime number between say 70 and 80 the only possibilities are 71,73,77,79
Answer:
9 & 27
Step-by-step explanation:
Plz mark as Brainliest...
Question 5 of 10 How does a low credit score affect a person who applies for a loan? O A. It causes banks to charge the person higher interest rates on the loan. OB. It makes it easier for the person to get a loan with a poor debt-to- income ratio. O C. It allows banks to give the person a loan without checking his or her tax records. OD. It makes banks more likely to give the person a large, long-term loan. SUBMIT
It's def not c or d, I think it's a.
The cost of 12 oranges and 7 apples is 5.36. Eight oranges and 5 apples cost 3.68. Find the cost of each
help lol i can’t do math and everything is due at midnight