If f(x) = x - 4 and g(x) = 3x + 5, find (f + g)(x).
Answer:
(f + g)(x) = 4x + 1
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) = x - 4 + 3x + 5 = 4x + 1
In a large city school system with 20 elementary schools, the school board is considering the adoption of a new policy that would require elementary students to pass a test in order to be promoted to the next grade. The PTA wants to find out whether parents agree with this plan.
a. If they put a big ad in the newspaper asking people to log their opinions on the PTA Web site what kind of bias might they encounter.
1. response bias due to desire to give acceptable answers
2. nonresponse bias
3. bias due to the use of a voluntary response sample
4. bias due to a poor sampling frame resulting in undercoverage
5. no bias
b. If they randomly select one of the elementary schools and contact every parent by phone, what kind of bias is there?
1. bias due to the use of a voluntary response sample
2. response bias due to desire to give acceptable answers
3. undercoverage bias due to a poor sampling frame
4. no bias
5. nonresponse bias
c. Suppose they randomly select 20 parents from each elementary school. Send them a survey, and follow up with a phone call if they do not return the survey within a week. What kind of sampling was done?
1. stratified sampling
2. convenience sample
3. simple random sampling
4. voluntary response sample
Select all equivalent options
A. 6
B. 3^2
C. 9
D. 33
Sara uses 9.3 pints of white paint and blue paint to paint her bedroom walls.
3/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:2.65
Step-by-step explanation:
The answer is 2.65
Howard invested $2,500 in a local bank at a rate of 1.25% for 5 years. How
much interest will Howard earn in 5 years?
5(x + 2) = 5x + 10 is an example of the property?.
Answer:
Distributive property
Step-by-step explanation:
A movie theater has 940 seats. Tickets were sold for 846 of the seats. For what percent of the seats were tickets sold?
Answer:
90 percent
Step-by-step explanation:
Can someone help me pls
Answer:
AB = 18
Step-by-step explanation:
tan 45° = 18/AB
1 = 18/AB
AB = 18
A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following results. T
oday 5 Years Ago Mean 82 88 Variance 112.5 54 Sample Size 45 36
The standard deviation of the difference between the means of the two populations is
A) 12.9
B) 9.3
C) 4
D) 2
Answer: D) 2
Step-by-step explanation:
The standard deviation of the difference between the means of the two populations is given by:-
[tex]S.E.=\sqrt{\dfrac{\sigma^2_1}{n_1}+\dfrac{\sigma^2_2}{n_2}}}[/tex]
where [tex]n_1[/tex]= sample size of population 1
[tex]n_2[/tex]= sample size of population 2
[tex]\sigma^2_1[/tex]= variance of population 1
[tex]\sigma^2_2[/tex]= variance of population 2
As per given,
[tex]S.E.=\sqrt{\dfrac{112.5}{45}+\dfrac{54}{36}}}\\\\=\sqrt{4}\\=2[/tex]
Hence, the correct option is D) 2.
Please help me please
Answer:
y = x
Step-by-step explanation:
Hi,
We know that in the equation...
y = mx + b
m = slope
So, to find the equation of the line, we have to plug in what we already know. So...
-7 = 1 (-7) + b
Solve...
-7 = -7 + b
b = 0
That means that your equation is...
y = x
(you don't have to put the one in front of the x)
I hope this helps :)
Eileen plant a tree that is 2 meters tall in her yard which of the following is equivalent to meters following is equivalent to 2 meters?
(A) 200 mm
(B) 20 cm
(C) 200 km
(D) 2,000 mm
Answer:
D
Step-by-step explanation:
Answer: (d)
Step-by-step explanation:
You need a 90% alcohol solution. On hand, you have a 55 mL of a 45% alcohol mixture. You also have 95% alcohol mixture. How much of the 95% mixture will you need to add to obtain the desired solution?
Answer:
495 milliliters of the 95% mixture are needed.
Step-by-step explanation:
Given that I need a 90% alcohol solution, and on hand I have a 55 ml of a 45% alcohol mixture, and I also have 95% alcohol mixture, to determine how much of the 95% mixture will I need to add to obtain the desired solution, the following calculation must be performed:
55 x 0.45 + 45 x 0.95 = 67.5
25 x 0.45 + 75 x 0.95 = 82.5
15 x 0.45 + 85 x 0.95 = 87.5
10 x 0.45 + 90 x 0.95 = 90
10 = 55
90 = X
90 x 55/10 = X
4,950 / 10 = X
495 = X
Thus, 495 milliliters of the 95% mixture are needed.
help me with the math problem
Answer: If Im correct, Y= 14
Step-by-step explanation:
If X=2
Then 2x would be 2x2
and that equals 4
so then you have y=4+10
and 4+10=14
y=14
Answer:
y = 14
Step-by-step explanation:
y = 2x + 10 , x= 2.
y = 2(2) + 10
= 4 + 10
= 14
Which of the following is the least reduced equivalent of 243/729?
A.2/6
B.1/3
c.3/9
D. 1/2
Answer:
B.1/3
Step-by-step explanation:
Dividing by 3.
243/729
81/243
27/81
9/27
3/9
1/3
please help me on this
Answer: 7/8
Step-by-step explanation:
There are 8 tickmarks on the number line, each representing 1/8.
So, the question mark represents 7/8 (since it is one tickmark to the left of 1)
Which category do both of these shapes belong to
Answer:
D. Parallelogram
Step-by-step explanation:
Answer:
The answer is Parallelgram(D)
two pairs of parallel sides in a quadrilateral
hope it helps...
Can someone help me pls
Answer:
Okay so for this one use the Pythagorean theorem
Step-by-step explanation:
A^2 + 28^2 = 128^2
You are trying to find A.
So 28^2 is 784
128^2 is 16384
Now you will subtract 784 from both sides of the equation your new equation should be this: a^2 = 15600
Now you find the square root of both sides which gives you: A= 124.89 round it to 125
If a= 35 then find b
9514 1404 393
Answer:
35
Step-by-step explanation:
All of the marked angles subtend the same arc, so all have the same measure.
a = b = c = d = 35
b = 35
Will give brainliest
Answer:
c
Step-by-step explanation:
Answer:
its a reflection over the x-axis
Brainliest for correct answer
Answer:
V =1884 in ^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi ( 10) ^2 * 6
V = pi ( 600) in^3
Using 3.14 for pi
V = 3.14 * 600 in ^3
V =1884 in ^3
a customer asked for 48 oz of turkey lunch meat and 64 oz of cheese.How many pounds of lunch meat did the customer buy in total
Answer:
in order to get the total you must add add 48 + 64 whereby you get 112
Step-by-step explanation:
the the customer bought 112 pounds of meat hope that helps
I pick a ball from a bag, replace it and then pick
another. I keep doing this until I have chosen 40 balls. If I picked out 12 yellow balls, estimate the probability of not picking out a yellow ball.
Answer:
It should be 50%
Step-by-step explanation:
It should be 50% because there are 12 yellow balls, so it should be 50%.
Hope it helps you
You borrow $600 to buy a canoe. The simple annual interest rate is 5%. You pay off the loan after 4 years of equal monthly payments. How much is each payment?
Answer:
Amount of each payment = $15 each month
Step-by-step explanation:
Given:
Amount borrow = $600
Simple rate = 5% = 0.05
Number of year = 4 year
Payment method = monthly payment
Find:
Amount of each payment
Computation:
Total amount after 4 year = P + PRT
Total amount after 4 year = 600 + (600)(4)(0.05)
Total amount after 4 year = 600 + 120
Total amount after 4 year = $720
Number of total month = 4 x 12
Number of total month = 48
Amount of each payment = Total amount after 4 year / Number of total month
Amount of each payment = $720 / 48
Amount of each payment = $15 each month
Rectangle VWXY is dilated by a scale factor of 2/3 to form rectangle V'W'X'Y’. Side VW
measures 21. What is the measure of side V'W'?
Answer:
y
Step-by-step explanation:
Answer:
V'W' = 14Steps:
V'W' = VW×2/3
V'W' = 21×2/3
V'W' = 42/3
V'W' = 14
Tarzan leaned a 100-foot ladder against the side of a building. The
hase of the ladder is 18 feet from the base of the building. The top of
the ladder is 16 feet from the top of the building How tall, to the
narest tenth of a foot, is the building?
16
100
18
Answer:
is 16 foot a part from the building
I need questions 1 , 2 ,3 answered please :)
9514 1404 393
Answer:
54°both are 73°x = 12Step-by-step explanation:
Some useful relations are ...
A triangle inscribed in a semicircle is a right triangle.
Acute angles in a right triangle are complementary.
An inscribed angle is half the measure of the arc it intercepts.
The sum of arcs around a circle is 360°; 180° around a semicircle.
__
1. Arc DF is twice the marked inscribed angle, so is 126°. Arc FE is supplementary to that, so is ...
arc FE = 180° -126°
arc FE = 54°
Alternate solution: arc FE is twice angle D, which is the complement of 63°.
2(90° -63°) = 2(27°) = 54° = arc FE
__
2. Arc GJ = 360°-68° -31° -115° = 146°
angle GHJ = angle GIJ = 146°/2 = 73°
__
3. arc UT = 2(90° -43°) = 94°
9x -14 = 94
9x = 108 . . . . . add 14
x = 12 . . . . . . . . divide by 9
pls help!
find the area
Answer:
Area of circle = πr²
22/7*11*11
2662/7
380.13 in² is your answer ☺️☺️☺️
What is the measurement of Angle E? A) 45° B) 600 ( 75° D) 90°
Not sure if you accidentally typed 600 instead of 60, but the answer should be 60º
explanation:
angles in a triangle sum to 180º, as shown by the triangle on the right (45+75+60=180)
so the missing angle E would be 60º
g(x) = 2x – 4
h(x)=x²-3
Find (g.h)(5)
Answer:
40
Step-by-step explanation:
This is asking you to plug in the value of h(5) into g(x). First solve for h(5)
x^2-3 = h(x)
5^2-3= 22
h(5) = 22
h(5) is 22. So now, plug that into g(x).
g(h(5)) = 2(22)-4
44-4=40
(g.h)(5) is 40.
Which table shows ordered pairs that satisfy the function y = x + 1?
А
X
12
0
2
- 4
1
4
B
-2
0
2
5
0
5
С
X
y
5
-2
0
2.
1
5
D
x
y
-24
0 2
2 4
Answer:
Knowledge Check The table of ordered pairs (x, y) gives an exponential function. Write an equation for the function. x y -1 6 0 12 1 1 24 2. 48 88 O х ? I Don't ...
Step-by-step explanation: