True,
-4x=-28
Divide by -4 on both sides and since the negatives cancel eachother, you're left with x=7
A committee is to consist of two members. If there are seven people
available to serve on the committee, how many different committees can
be formed
Answer:
2
Step-by-step explanation:
Common Sense
The number of different ways committees can be formed will be 21.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
A committee is to consist of two members.
If there are seven people available to serve on the committee.
If two people are selected from the group of seven people.
Then the number of different ways committees can be formed will be
⇒ ⁷C₂
⇒ 7! / [(7 – 2)! x 2!]
⇒ 7! / [5! x 2!]
⇒ 7 x 6 x 5! / [5! x 2 x 1]
⇒ 7 x 6 / 2
⇒ 7 x 3
⇒ 21
Thus, the number of different ways committees can be formed will be 21.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
#SPJ2
Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy circles, x is approximately normally distributed with mean µ = 43 and standard deviation σ = 15. Find the following probabilities. (Round your answers to four decimal places.)
a. x is less than 60
b. x is greater than 16
c. x is between 16 and 60
d. x is more than 60
Answer:
a) 0.8708 = 87.08% probability that x is less than 60
b) 0.9641 = 96.41% probability that x is greater than 16.
c) 0.8349 = 83.49% probability that x is between 16 and 60
d) 0.1292 = 12.92% probability that x is more than 60.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 43, \sigma = 15[/tex]
a. x is less than 60
This is the pvalue of Z when X = 60. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 43}{15}[/tex]
[tex]Z = 1.13[/tex]
[tex]Z = 1.13[/tex] has a pvalue of 0.8708
0.8708 = 87.08% probability that x is less than 60
b. x is greater than 16
This is 1 subtracted by the pvalue of Z when X = 16. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 43}{15}[/tex]
[tex]Z = -1.8[/tex]
[tex]Z = -1.8[/tex] has a pvalue of 0.0359
1 - 0.0359 = 0.9641
0.9641 = 96.41% probability that x is greater than 16.
c. x is between 16 and 60
This is the pvalue of Z when X = 60 subtracted by the pvalue of Z when X = 16. We found those in a and b, si:
0.8708 - 0.0359 = 0.8349
0.8349 = 83.49% probability that x is between 16 and 60
d. x is more than 60
This is 1 subtracted by the pvalue of Z when X = 60.
So
1 - 0.8708 = 0.1292
0.1292 = 12.92% probability that x is more than 60.
Two linear functions are shown below which function has the greater rate of change? Use the drop-down menus to show your answer
1. A or B
2. A or B
3. A or B
Answer:
It’s A
Step-by-step explanation:
Because it’s not a curve but a straight line
fahimahash is wanted for using bad subject bounty 50 points for the account deleted
Solve the equation. w/5 =3 w=
Answer:
15
Step-by-step explanation:
[tex]\frac{w}{5}[/tex] = [tex]3[/tex] (multiply both sides by 5)
w= 15
Answer:
w= 15
Step-by-step explanation:
1. Multiply all terms by the same value to eliminate fraction denominators
2. Then simplify
Caroline is saving up to buy a new video game. She already has $45 and can save an additional $9 per week using money from her after school job. How much total money would Caroline have after 9 weeks of saving? Also, write an expression that represents the amount of money Caroline would have saved in w weeks
Answer:
Step-by-step explanation:
9*9=81
81+45
Answer:
9=9=81
Step-by-step explanation:
EFGH is an isosceles trapezoid. If EG=3y+19 and FH=11y-21, find the value of y.
Answer:
y = 5
Step-by-step explanation:
The diagonals of the isosceles EFGH are equal. Therefore:
EG = FH
EG = 3y + 19
FH = 11y - 21
Thus:
3y + 19 = 11y - 21
Collect like terms
3y - 11y = -19 - 21
-8y = -40
Divide both sides by -8
y = 5
What is a factor that is less than 1?
Answer:
none
Step-by-step explanation:
ben sells greeting cards for $5 each in his online store. He also charges $1.99 for shipping. The total cost, y, of an order from Bens store is found using the equation y = 5x+ 1.99, where x is the number of cards bought. Which quantity represents the dependent variable in this problem situation?
Answer: How many greeting cards he sells
Step-by-step explanation:
The cards are 5 dollars each. 1.99 for shipping is all the same. The only thing that changes is the amount that he sells. So the amount of Greeting cards sold is the dependent variable.
34 1/3% of animals at the shelter are dogs. About what fraction of the animals are dogs?
Answer:
Step-by-step explanation:
34%=34100
=0.34
=0.341×100100
=34/100
=17/50
Please help by today
Answer:
hmmmmm
Step-by-step explanation:
Answer:
∠3 = 108
Step-by-step explanation:
∠1 + ∠2=180 because a straight line is 180°
∠1=5x+10 and ∠2=9x+2
5x+10 + 9x+2 = 14x+12
14x+12=180
180-12=168
168/14=12
x=12
∠2 = 9x+2 = 110
180-110 = 70
∠4 = 70
∠4 + ∠3 + ∠5 = 180
∠5 = 90 -5x = 30
i messed up the process here lol but the answer is for sure right
Help here is an easy one
Answer:
x = 30°
Step-by-step explanation:
Given that,
∠A = x°
∠B = 2x°
∠C = 90°
We need to find the value of x.
We know that the sum of angles of a triangle is equal to 180°.
ATQ,
x° + 2x° + 90° = 180°
3x° = 180°-90°
3x° = 90°
x° = 30°
So, the value of x is 30°.
Answer:
3x+90=180
3x=90
x=30
Step-by-step explanation:
3r + 7 = -8 what does r =
Answer: R = -5
Step-by-step explanation: 3r + 7= -8 is turned into 3(-5) + 7= 8. -15 + 7=8
8x-5y=37 x=2y+6 substitution
Answer:
Solve for the first variable in one of the equations, then sub the result into the other equation.
point form- (4,-1)
equation form- x=4, y=-1
Step-by-step explanation:
I HIGHLY recommend math-way to help you with problems like this :)
hope this helps!
Help please 100 points if you do
express the surface area A of a cube in terms of its volume V
What is the value of 1/2 x^3+3.4y when x=2 and y=5?
I need help with this question
Answer:
f(g(4)) = 5
Step-by-step explanation:
Recall that to find f(g(4)), we need to first find g(4) which we find via the given table:
g(4) = 0
and then use the graph to find f(0) = 5
Then f(g(4)) = 5
Find the resultant of two displacement vectors A and B shown below. The magnitude of A is 20m, and the magnitude of B is 30m
Components A: ____ ____
Components B: ____ ____
Please help me! Im really confused!
Answer:
4) 8:1
Step-by-step explanation:
well on the first perfect point there are 8 cups of raspberry juice and 1 cup of lemon-lime soda and it is comparing them in that order so since 1 is the unit it would be 8:1
Answer:
c is correct answer is yes then please
?????????????????????
Answer:
g(3) = 0
Step-by-step explanation:
You know g(x) = 3x - 9. So, to find g(3), you have to replace x by 3 on the other side.
g(3) = 3(3) - 9
You can solve this.
g(3) = 9 - 9
g(3) = 0
Answer:
0
Step-by-step explanation:
Which brand would Cala need more of to fertilize her 450-foot row of vegetables
Answer:
What do,you mean
Step-by-step explanation:
Expand the logarithm. Simplify, if possible.
log7(49^w)
Step-by-step explanation:
Let x = log7(49^w).
We have 7^x = 49^w.
=> 7^x = (7^2)^w
=> 7^x = 7^2w.
=> x = 2w.
Therefore log7(49^w) = 2w.
Kendra just bought a new house and needs to buy new sod for her backyard. If the dimensions of her yard are 24.6 feet by 14.8 feet , what is the area of her yard
Answer:
364.08 Feet
Step-by-step explanation:
Answer:
Step-by-step explanation:
the yard will have the area is A= L*W
A=24.6*14.8=364.08 ft^2
HELP ASAPPPP I WILL GIVE BRAINLIEST
Answer:
It would be B
Step-by-step explanation:
If she is using the algebra tiles and added the 4 to both sides instead of subtracting, it would give you 2x=14 which then you would divide by 2 and get 7. Making the answer B
I will give a brainlist if someone could answer this problem with a explanation:)
Answer:
It would be ASA
Step-by-step explanation:
Those two triangles are congregant so it would be A. ASA
25 POINTS FOR ANYONE THAT CAN HELP ME!! Rewrite 16r^2s^2 as a power of a product.
Answer:
256rs
Step-by-step explanation:
16r^2=256r
s^2=s
*256r)(s)=256rs
You work for a landscaping company and will be installing a fence around a customer’s yard. The yard is rectangular and is 45 feet wide by 80 feet long. About how many feet of fencing should you buy to enclose the entire yard?
Answer:
250ft
Step-by-step explanation:
45ft + 45ft of fencing for the two short ends. 80ft +80ft for the two long sides
45ft+45ft=90ft
80ft+80ft=160ft
90ft+160ft=250ft
Write a slope-intercept equation of the line with a slope of — that passes through the point (6, 10).
O A. y = 6x + 10
O B. y=-x +38 3
O C. y=-x +14
O d.y= -x + 6
Answer:
y= -x + 6
please mark as brainliest
20x 10 <= (less then or equal to) 90
Answer:
x(less than or equal to)5
Step-by-step explanation:
add 10 to both sides
20x-10(less than or equal to) 90
+10 +10
20x (less than or equal to) 100
divide by 20 to isolate the variable
20x(less than or equal to) 100
/20 /20
x (less than or equal to) 5