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
Represent the following sentence as an algebraic expression, where ‘’ a number’’ is the letter x
3 times a number
Answer:
n = x * 3
Step-by-step explanation:
n is your "number"
Answer:
3 × x
Step-by-step explanation:
"a number" = x
"times" = multiplication = ×
3 × x
Robert earned $10, which was 4 less than twice what Eric earned , How much money did Eric earn?
Answer:
Eric's earning is $7
Step-by-step explanation:
Given
Represent Robert's earnings with R and Eric's with E.
[tex]R = 10\\R = 2E - 4[/tex]
Required
What is the value of E?
Substitute 10 for R in the second equation.
[tex]10 = 2E - 4[/tex]
Solve for 2E
[tex]2E = 10 + 4[/tex]
[tex]2E = 14[/tex]
Solve for E
[tex]E = 14/2[/tex]
[tex]E = 7[/tex]
Eric's earning is $7
(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
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
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%
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%
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.
Help pls I’m confused
Answer:
Scale factor of dilation is [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\\\frac{QR}{Q'R'} = \frac{6}{2} \frac{QR}{Q'R'} = 3[/tex]
Cross multiplication gets:
QR = 3 * Q'R'
Q'R' = 1/3 * QR
So it's 1/3
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 :)
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
PLEASE HELP WHOEVER ANSWERS GETS BRAINLIEST BUT PLS HELPPPP
Answer:
yesnt
Step-by-step explanation:
(3х - 2y = 8
(х+5y = 7
Answer:
21y
Step-by-step explanation:
you welcome
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%.
Which expression is equivalent to (4 - 7)(2x - 1)?
The equivalent expression to [tex](4-7)(2x-1)[/tex] is [tex]-6x+3[/tex]
First, you multiply the binomials using the multiplying binomial that you are used to. I like to use the box method.
Multiply 4 by 2x and -1 and multiply -7 by 2x and -1
[tex]8x-14x-4+7[/tex]
Then, add like terms.
[tex]-6x+3[/tex]
PLEASE HELP!!! Inequality's
Answer:
(6,-3) should work but there are infinite answers
Step-by-step explanation:
4p + 2р - Зр
Oi mans needs help
Answer:
3p
Step-by-step explanation:
4p + 2р - Зр
Combine like terms
6p -3p
3p
Think of 4p as having 4 pizzas
Adding on 2 more pizzas gets you 4p+2p = 6p
So we have 6 pizzas now.
Then we subtract off 3 pizzas
6p-3p = 3p
Leaving us with 3 left when everything is said and done
So,
4p + 2p - 3p = 6p-3p = 3p
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
-1 × f(-9) + 7 × g(6)
Answer:
38
Step-by-step explanation:
Answer:
38
Step-by-step explanation:
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.
To get more about binomial distribution visit:
https://brainly.com/question/24756209
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.
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
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.
How do you do this question?
Answer:
(8√2) / 15
Step-by-step explanation:
A curve bounded by the y-axis is represented by in terms of dy;
[tex]\int \:x\:dt[/tex]
When the curve crosses the y-axis, x will be 0. In this case x is the function of t, so we have to solve for x(t) = 0;
0 = t^2 + 2t --- (1)
Solution(s) => t = 0, t = 2
dy = (1/2 * 1/√t)dt --- (2)
Our solutions (0, 2) are our limits. The area of the curve is in the form [tex]A\:=\:\int _b^a\:f\left(t\right)g'\left(t\right)dt[/tex] , so now let's introduce the limits of integration, x(t) and dy/dt. Remember, dy/dt = (1/2 * 1/√t) (second equation). 1/2 * 1/√t can be rewritten as 1/2 * t^(-1/2)....
[tex]A\:=\:\int _2^0\:\left(t^2-2t\right)\left(\frac{1}{2}t^{-\frac{1}{2}}\right)dt\\\\= \int _2^0\:\left(\frac{1}{2}t^{\frac{3}{2}}-t^{\frac{1}{2}}\right)dt\\\\= \left[\frac{t^{\frac{5}{2}}}{5}-\frac{2t^{\frac{3}{2}}}{3}\right]_2^0\\\\= 0\:-\:\left(\frac{4\sqrt{2}}{5}-\frac{4\sqrt{2}}{3}\right)\\\\= \frac{8\sqrt{2}}{15}[/tex]
Your solution is 8√2 / 15
Can some help me with this I gotta get to 50 im on 48 this the last one
Answer:
Step-by-step explanation:
K (-5, 1)
L (0, 1)
M (0, 3)
N (-5, 3)
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
1
The expression $1.75 + $0.15x can be used to find Mr. Thompson's cost for
making x dozen cookies. How much does it cost Mr. Thompson to make 25
dozen cookies? {Write an equation.} *and also ( solve and equation).
Answer:
Step-by-step explanation:
3x - 4y = 13 (1)
2x + y = 5 (2)
——————
3x - 4y = 13
4(2x + y = 5) (2) times 4
——————-
3x - 4y = 13
8x + 4y = 20
——————-
11x = 33
x = 33/11
x = 3
Plug x = 3 in (2):
2(3) + y = 5
6 + y = 5
y = 5-6
y = -1
Thus, x = 3 and y = -1
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.
Help is appreciated :)
Answer:
60
Step-by-step explanation:
p(A∩B)≥P(A), true or false
Answer:
Step-by-step explanation:
false
as A∩B≤A
so P(A∩B)≤P(A)
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