Answer:
5x+23
Step-by-step explanation:
3(x+1) - 4(2x-5) + 10x
3x+3 - 8x+20 + 10x
(3x-8x+10x = 5x)
(3+20 = 23)
Therefore, answer is 5x-23. :)
Write the slope-intercept form of the equation of the line
2x + 3y = 18
Answer:
y=-2/3x+18
Step-by-step explanation:
Slope intercept form equals y=mx+b
Step 1 move 2x to the other side. 3y=-2x+18
Step 2 divide by 3. y=-2/3x+18
answer it pls and explain too
Answer:
y-intercept: (0, 5); slope: 1/4
Step-by-step explanation:
The slope (m) is found from ...
m = (y2 -y1)/(x2 -x1)
Using the first two points in the table, this is ...
m = (8 -6)/(12 -4) = 2/8 = 1/4 . . . . . eliminates choices A and C
__
Then, the point-slope form of the equation of the line can be written as ...
y -y1 = m(x -x1)
y -6 = (1/4)(x -4) . . . fill in known values
y = 1/4x -1 +6 . . . . . add 6
y = 1/4x +5
Then the value of y when x=0 is ...
y = 0 +5 = 5
So, the y-intercept is (0, 5) and the slope is 1/4, matching the last choice.
Solve for t.
-t = 9(t-10)
pls help
Step-by-step explanation:
-t = 9(t-10)
-t = 9t - 90
90 = 9t + t
90 = 10t
90 ÷ 10 = t
9 = t
WILL MARK AS BRAINLEST
Prove that in a triangle an exterior angle is equal to the sum of the two interior angles not adjacent to it.
Answer:
Brainlest two angle adjacent will mark
A human resource company performs employment screening for large companies in southern California. Recently, the company began working with a new client and formulated a new test just for this company. Thirty people were given the test. The data below reflect the scores of those 30 people. The human resource company has in the past issued a rejection letter with no interview to the lower 16% taking the test. They also send the upper 2.5% directly to the company without an interview. Everyone else is interviewed. Based on the data and assuming a bell-shaped distribution, what scores should be used for the two cutoffs?
79 79 7151 65 71 65 90 60 62 78 76 88 69 65
91 72 56 61 83 61 78 68 66 52 79 88 74 71 69
A score of ________should be used as the cutoff for the lower 16% and a score of________ (Round to the nearest integer as needed.)
Answer:
A score of 61 should be used as the cutoff for the lower 16% and a score of 92 should be used as the cutoff for the upper 2.5%.
Step-by-step explanation:
The data set for the scores of the 30 people are:
S = {79, 79, 71, 51, 65, 71, 65, 90, 60, 62, 78, 76, 88, 69, 65, 91, 72, 56, 61, 83, 61, 78, 68, 66, 52, 79, 88, 74, 71, 69}
Compute the mean and standard deviation:
[tex]\mu=\frac{1}{n}\sum X=\frac{1}{30}\times 2138=71.27\\\\\sigma=\sqrt{\frac{1}{n-1}\sum (X-\mu)^{2}}=\sqrt{\frac{1}{30-1}\times 3343.8667}=10.74[/tex]
It is provided that in the past the company issued a rejection letter with no interview to the lower 16% taking the test.
That is the probability of no interview is, P (X > x) = 0.16.
That is, P (Z > z) = 0.16.
The z-score corresponding to this probability is, -1.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\x=\mu+z\cdot \sigma\\\\=71.27+(-1\times 10.74)\\\\=60.53\\\\\approx 61[/tex]
It is also provided that the upper 2.5% directly to the company without an interview.
That is the probability of no interview is, P (X < x) = 0.025.
That is, P (Z < z) = 0.025.
The z-score corresponding to this probability is, 1.96.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\x=\mu+z\cdot \sigma\\\\=71.27+(1.96\times 10.74)\\\\=92.3204\\\\\approx 92[/tex]
Thus, the complete sentence is:
A score of 61 should be used as the cutoff for the lower 16% and a score of 92 should be used as the cutoff for the upper 2.5%.
How do you simplify the expression (s+t)3
Answer:
3s + 3t
Step-by-step explanation:
To simplify this expression, all you need to do is distribute the 3, which means you basically multiply whatever is in the parentheses by 3:
(s + t) * 3 =
3s + 3t
And that is the simplified form for this expression.
Hope this helps :)
- If f(x) = 2(1 — 4x) – 5(3x – 10), what is the value of f(-3)? y = -117 H. V = 121 y = 21
Answer:
121
Step-by-step explanation:
f(-3)=2[1-4(-3)]-5[3(-3)-10]
or,f(-3)=2*13-5*(-19)
or,f(-3)=26+95
f(-3)=121
Simplify 13√5 +3√5
√21
√26
16√5
16√10
Answer:
16√5
Step-by-step explanation:
[tex]13 \sqrt{5} + 3 \sqrt{5} \\ \\ = (13 + 3) \sqrt{5} \\ \\ = 16 \sqrt{5} [/tex]
Some the equation 4y-6x=12 for y.
Answer:
y = 3 + 1.5x
Step-by-step explanation:
4y = 12 + 6x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Divide each side by '4'.
y = 3 + 1.5x
Simplifying
y = 3 + 1.5x
Answer:
y = 3/2x + 3
Step-by-step explanation:
Given :
4y - 6x = 12To Do :-
To solve out for y .Solution :-
The given equation is ,
⇒ 4y - 6x = 12
⇒ 4y = 6x + 12
⇒ y = ( 6x + 12 )/4
⇒ y = 3/2x + 3
what's the pattern of 160,80,40,20,10
How many hours did the technician work on Richard's car?
The parts cost $100.
The technician charged $52 per hour.
His total bill was $308
Answer:
6 hours
Step-by-step explanation:
Answer:
4 hours
Step-by-step explanation:
the parts cost 100$, so take away 100 from 308.
the answer 208. then divide 208 by 52
then the answer comes as 4.
you have $8.00 to make copies. each copy costs $0.40. write and solve an inequality that represents the number of copies you can make?
Answer:
0.40x[tex]\leq \\[/tex]8
The inequality that represents the number of copies you can make is x ≤ 20. This means you can make a maximum of 20 copies with your $8.00 budget.
To determine the number of copies you can make with a given budget, you need to write and solve an inequality using the cost per copy and your available funds.
1. Let's denote the number of copies as "x".
2. The cost of each copy is $0.40.
3. The total cost of the copies can be calculated by multiplying the number of copies by the cost per copy, which gives us 0.40x.
4. You have $8.00 available for copying.
5. To represent the inequality, we compare the total cost of the copies (0.40x) to the available funds ($8.00).
6. Since you want to ensure that the cost of the copies does not exceed your budget, the inequality is: 0.40x ≤ 8.00
To solve the inequality and find the maximum number of copies you can make, divide both sides of the inequality by 0.40:
= (0.40x) / 0.40 ≤ (8.00) / 0.40
= x ≤ 20
Learn more about Inequality here:
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Is this a Function or NOn function
Answer: function
Step-by-step explanation: Here were given a relation in
the form of a graph and we're asked if it represents a function.
In this situation, we would use what is called the vertical line test.
In other words, if we can draw a vertical line that passes through more
than one point on the graph, then the relation is not a function.
In this problem, there is no way to draw a vertical
line that passes through more than one point on a graph.
Therefore, this relation must be a function.
(x +8)(x + 11) = 0
Pls help I’m dumb and don’t know this ...
Answer:
Step-by-step explanation:
x= -8,-11
Answer:
-8, -11
Step-by-step explanation:
Go to the M-a-t-h-w-a-y website
a
Zero
b
Undefined
c
Positive
d
Negative
Answer: C: Negative
Step-by-step explanation: That's what I assumed you're asking due to the absolute lack of info
Use n = 6 and p = 0.25 to complete parts (a) through (d) below.
(a) Construct a binomial probability distribution with the given parameters.
х
P(x)
0
1
2
3
4
5
6
(Round to four decimal places as needed.)
(hl somnute the mean and standard deviation of the random variable using Hy = x.P(x)] and oy =
Answer:
The binomial probability distribution is shown below.
Step-by-step explanation:
The probability mass function of X is:
[tex]P(X=x)={n\choose x}p^{x}(1-p)^{n-x};x=0,1,2,3..[/tex]
It is provided that n = 6 and p = 0.25.
Construct a binomial probability distribution with the given parameters as follows:
X P (X = x)
0 [tex]P(X=0)={6\choose 0}(0.25)^{0}(1-0.25)^{6-0}= 0.1780[/tex]
1 [tex]P(X=1)={6\choose 1}(0.25)^{1}(1-0.25)^{6-1}= 0.3560[/tex]
2 [tex]P(X=2)={6\choose 2}(0.25)^{2}(1-0.25)^{6-2}= 0.2966[/tex]
3 [tex]P(X=3)={6\choose 3}(0.25)^{3}(1-0.25)^{6-3}= 0.1318[/tex]
4 [tex]P(X=4)={6\choose 4}(0.25)^{4}(1-0.25)^{6-4}= 0.0330[/tex]
5 [tex]P(X=5)={6\choose 5}(0.25)^{5}(1-0.25)^{6-5}= 0.0044[/tex]
6 [tex]P(X=6)={6\choose 6}(0.25)^{6}(1-0.25)^{6-6}= 0.0002[/tex]
Compute the mean and standard deviation as follows:
[tex]\mu=np=6\times0.25=1.50\\\\\sigma=\sqrt{np(1-p)}=\sqrt{6\times 0.25\times (1-0.25)}=1.0607[/tex]
Binomial probability distribution was constructed, and the mean and standard deviation comes to be 1.5 and 1.061 respectively.
As we know that binomial probability distribution is given by
[tex]P(x) = ^nC_xp^x(1-p)^{n-x}[/tex]
What is binomial distribution?The binomial distribution is a probability distribution that depicts the likelihood that a value will take one of two independent values under a given set of parameters.
Given n=6 & p=0.25
[tex]P(0) = ^6C_0(0.25)^0(1-0.25)^{6-0}[/tex] = 0.1780
[tex]P(1) = ^6C_1(0.25)^1(1-0.25)^{6-1}[/tex]=0.3560
[tex]P(2) = ^6C_2(0.25)^2(1-0.25)^{6-2}[/tex] = 0.2966
[tex]P(0) = ^6C_3(0.25)^3(1-0.25)^{6-3}[/tex] =0.1318
[tex]P(0) = ^6C_4(0.25)^4(1-0.25)^{6-4}[/tex]=0.0330
[tex]P(5) = ^6C_5(0.25)^5(1-0.25)^{6-5}[/tex]=0.0044
[tex]P(6) = ^6C_6(0.25)^6(1-0.25)^{6-6}[/tex]= 0.0002
Mean = np
Mean = 6*0.25
Mean = 1.5
Standard deviation σ = [tex]\sqrt{np(1-p)}[/tex]
σ = [tex]\sqrt{6*0.25(1-0.25)}[/tex]
σ = 1.061
Hence, binomial probability distribution was constructed, and the mean and standard deviation comes to be 1.5 and 1.061 respectively.
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1. Simplify by using the Distributive Property.
4(4f - 29)
Answer:
[tex]\huge\boxed{\boxed{\bf{16f-116}}}[/tex]
Step-by-step explanation:
Hello.
Do you remember what the Distributive Property states? If you don't, please don't worry :)
The Distributive Property states that
[tex]\huge\boxed{a(b+c)=ab+ac}[/tex]
Now, let's simplify our expression ;)
4(4f-29)
4 times 4f and 4 times -29:
4×4f=16f
16f- (4×(-29)
16f-116
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
5n - 3 = 6
???????????
Answer:
n=9/5, 1.8, or 1 4/5
Step-by-step explanation:
Answer:
oml
Step-by-step explanation: [tex]n[/tex]=9/5
i think ';-;
PLEASE HELP!!! Inequality's
Answer:
(6,-3) should work but there are infinite answers
Step-by-step explanation:
PLEASE HELP WHOEVER ANSWERS GETS BRAINLIEST BUT PLS HELPPPP
Answer:
yesnt
Step-by-step explanation:
7th grade math help me plzzz
Answer:
A: -5 and B is -14
Step-by-step explanation:
Answer:
-5 and -14
Step-by-step explanation:
-5 and -14 you can also look at calculator
What happens to the function f(x)=x2 when it becomes f′(x)=x2−3?
A: It moves 3 units to the right.
B: It moves 3 units upward.
C: It moves 3 units downward.
D: It moves 3 units to the left.
Help me please ASAP !! I will mark brainliest
Please
Help fast I have 25 mins left
Answer:
Step-by-step explanation:
sales earning commission=130,000-21000=109,000
sales commission=5800-900=4900
rate of commission=4900/109,000 ×100=490/109 %
≈4.495
≈4.50%
Find the equation of the line with slope 2/5 and y-intercept (0,−2).
Answer:
[tex]\boxed {\tt y=\frac{2}{5}x-2}[/tex]
Step-by-step explanation:
If the slope and y-intercept is known, the equation of a line can be written using slope-intercept form.
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
We know that the slope is 2/5.
The y-intercept is (0,-2). For this form, we only need the y-coordinate, which is -2 in this case. Therefore, we can say the y-intercept is -2.
[tex]m=2/5 \\b= -2 \\[/tex]
Substitute the values into the formula.
[tex]y=2/5x+ (-2)[/tex]
[tex]y=2/5x-2[/tex]
The equation of the line is y=2/5x-2
Help is appreciated :)
Answer:
60
Step-by-step explanation:
She uses 18 square inches of paper for each card How many square feet of paper does she need to make 150 cards
Answer:
225
Step-by-step explanation:
Well, we already know how many square inches each card is. 18. All we need to do is multiply that number by 150 because we need to make 150 cards. So:
18 x 150 = 2,700inches.
Now all we need to do is divide the number of inches by the amount each foot is. Each foot is 12 inches. So:
2,700 ÷ 12 = 225.
225 is your answer.
Hope this helps and have a nice day!
Josh chicken soup recipe calls for 2 1/2 L of chicken stock Josh makes 3 1/4 times the recipe How mush chicken stock does he have to use to make the soup? Express your awnser as a mixed number in the simplest form
Answer:
8 1/8
Step-by-step explanation:
Multiple the first number by the second
Answer:
4 1/8
Step-by-step explanation:
dvdsfdsfdgfdsfdsfdsfdfdfdf a ss
7/8 divided by 3 1/4
Answer:
7/26
Step-by-step explanation:
7/8 ÷ 13/4
7/8 * 4/13
7/2 * 1/13
=7/26
Please help fast pls
Need if
Answer:
Dustin Earns $14,000 in a year but in the question, we are given the salary of a month
Monthly salary of dustin:
14000 / 12 = $1,166 (approx)
Hence,
The actual monthly salary of Dustin is $1166, excluding the commissions
For a specific month, the salary of Dustin including the commissions is $2,400
Money earned in commissions:
Salary earned - Actual monthly salary
2400 - 1166 = $1,234
We are given the sales of Dustin for that specific month = $ 18,000
Hence, Dustin Earned a commission of $1,234 for sales of $18,000
Commission rate of Dustin:
Commission Earned * 100 / Sales made
1234 * 100 / 18000
6.856 %
Therefore, the commission rate of Dustin is 6.856%