Manuel and Kristina are reviewing like terms in the problem 3x + 3 - 4x. Manuel said that 3x and 3 are like terms because they both have threes. Kristina said 3x and -4x are like terms because they both have the same variable. Who is correct? Explain.
Answer:
Kristina
Step-by-step explanation:
Kristina is correct because 3x and -4x both have the variable 'x' in common making them like terms.
Help..................
A dinner plate has a diameter of 11 inches. What is the area?
Answer: Area of a circle= πr²
Data:
diameter=11 in
ratius=diameter/2=11 in/2=5.5 in
Area of this circular plate=π(5.5 in)²=30.25π in²=30.25 * 3.141592... in²≈
≈95.0 in².
answer : c 95.0 in²
A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results.
Sample Service Life (hours)
1 495 500 505 500
2 525 515 505 515
3 470 480 460 470
1. What is the sample mean service life for sample 2?
a. 460 hours
b. 495 hours
c. 515 hours
d. 525 hours
2. What is the mean of the sampling distribution of sample means for whenever service life is in control?
a. 250 hours
b. 470 hours
c. 495 hours
d. 500 hours
e. 515 hours
Answer:
1. c. 515 hours
2. c. 495 hours
Step-by-step explanation:
Sample mean:
Sum of all values in the sample divided by the number of values.
1. What is the sample mean service life for sample 2?
Sample 2 has four values, which are:
525 515 505 515
So
[tex]M = \frac{525+515+505+515}{4} = 515[/tex]
The answer is given by option C.
2. What is the mean of the sampling distribution of sample means for whenever service life is in control?
3 samples, 12 total values. We find the mean of all these values. So
[tex]M = \frac{495+500+505+500+525+515+505+515+470+480+460+470}{12} = 495[/tex]
The answer is given by option C.
Can y’all help me on question 34?!
Answer:
c) step 3
Step-by-step explanation:
7 (y - 10) + 8 - 6 (3 + 1)
y = 13
substitute 13 for y
7 (13 - 10) + 8 - 6 (3 + 1)
solve inside the brackets:
7 (3) + 8 - 6 (4)
multiply:
21 + 8 - 24
solve:
5
How to break down 14 as a prime number
To get the prime factorization of 14, we divide it by its smallest prime factor which is 2. Now, 14 is divided by the remaining prime factors 3, 5, 7, 11, and 13. 14 is only divisible by 7 and we get the quotient as 2. Thus, 14 has 2 prime factors.
Edit: No they copied me!!!
13. In the figure at the night, what is the
value of x?
16.
C с
6.1 cm
А
B
120°
3.5 cm
o
Fig. 4.77 Circle
For the figure above:
(a) Calculate the area of the circle, centre 0.
(b) Calculate the area of the minor sector
АОВС.
(c) Calculate the area of the triangle AOB.
(d) Determine the area of the segment ABC
22
7
d determine the are of the segment ABC 22 7
price of a visit to the dentist is $50 if the dentist fills any cavities and additional charge of $100 for cavity gets added to the bill if it doesn't find any cavities what was the cause of the visit me
Answer:
The visit will cost you $50
Step-by-step explanation:
Set up an equation:
Variable x = number of cavities
Variable y = cost of visit
y = 50 + 100x
If you had no cavities then x will equal 0
y = 50 + 100(0)
Anything multiplied by 0 is 0
y = 50 + 0
y = 50
A large hotel has five elevators. On any given day, there is an 8% chance that one elevator is broken The operate independently of one another. The Robertsons are staying in this hotel for five days. Let X represe number of days one elevator is broken during their stay What are the mean and standard deviation of X? W,-0.4.5, -0.074 W, 0.4.0, 0.61 , -2.5, 0, -1.92 O w.-4.0, 0.89
Answer:
0.4, 0.61
Step-by-step explanation:
The mean and standard deviation of X is 0.4.0, 0.61. The correct option is B.
What is standard deviation and mean?A standard deviation (or ) is a measurement of the degree of dispersion of the data from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
The average degree of variability in your data set is represented by the standard deviation. It reveals the average deviation of each score from the mean.
The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
Mean = sum of terms/number of terms
Therefore, the correct option is B, 0.4.0, 0.61.
To learn more about standard deviation, refer to the link:
https://brainly.com/question/23907081
#SPJ2
simplify by distributive property 9-5b+5m
Answer and Step-by-step explanation:
This is as far as the expression can be simplified.
The undistributed version of the expression is:
9 -5(b - m)
#teamtrees #PAW (Plant And Water)
Please help with this
Answer:
[tex]S_{25}=555[/tex]
Step-by-step explanation:
Given that,
In an AP, the 6th term is 39 i.e.
[tex]a_6=a+5d\\\\39=a+5d\ ....(1)[/tex]
In the same AP, the 19th term is 7.8 i.e.
[tex]a_{19}=a+18d\\\\7.8=a+18d\ ......(2)[/tex]
Subtract equation (1) from (2).
7.8 - 39 = a+18d - (a+5d)
-31.2 = a +18d-a-5d
-31.2 = 13d
d = -2.4
Put the value of d in equation (!).
39 = a+5(-2.4)
39 = a- 12
a = 39+12
a = 51
The sum of n terms of an AP is given by :
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
Put n = 25 and respected values,
[tex]S_{25}=\dfrac{25}{2}[2(51)+24(-2.4)]\\\\=555[/tex]
Hence, the sum of first 25 terms of the AP is equal to 555.
Find the annual percentage rate of change for the population of Oregon. In 2000, there were 4.8
million people, and in 2010, there were 8.7 million people.
Answer:
The annual percentage rate of change for the population of Oregon is of 8.125%.
Step-by-step explanation:
Total percentage change:
Change multiplied by 100 and divided by the initial value.
Change: 8.7 - 4.8 = 3.9 million
Initial value: 4.8
Percentage change: 3.9*100/4.8 = 81.25%
Annual percentage rate of change
81.25% during 10 years(from 2000 to 2010).
So, per year
81.25%/10 = 8.125%
The annual percentage rate of change for the population of Oregon is of 8.125%.
Select the measures that are equal to 3 gallons. Mark all that apply.
6 quarts
12 quarts
6 pints
12 pints
24 pints
20 cups
Answer:
12 quarts 24 pints
Step-by-step explanation:
change all measurements to gallons and solve.
1 quart= 2 pints
1 galllon = 8 pints
Answer:
12 quarts 24 pints
Step-by-step explanation:
change all measurements to gallons and solve.
1 quart= 2 pints
1 gallon = 8 pints
how do i solve this?
Answer:
m∠R = 60°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify
Angle θ = ∠R
Opposite Leg of ∠R = 10√3
Hypotenuse = 20
Step 2: Solve
Substitute in variables [sine]: [tex]\displaystyle sin(R^\circ) = \frac{10\sqrt{3}}{20}[/tex][Equality Property] Trig inverse: [tex]\displaystyle R^\circ = sin^{-1}(\frac{10\sqrt{3}}{20})[/tex]Evaluate trig: [tex]\displaystyle R = 60^\circ[/tex](11a2b+17a-4b2+15)+(12a2b-16b2+3)=
Answer:
232−202+17+18
Which of the following modifications to an electromagnet would be most likely to
decrease the strength of its magnetic field?
Answer:
Fewer coils, lower voltage, alloyed core with less iron
Step-by-step explanation:
Question 8 of 10 A decrease in the amount of principal owed on a loan is called what? A. Note reduction B. Payment number C. Amortization O D. Unpaid balance
Answer:
A (Note Reduction)
Step-by-step explanation:
A p e x of course
Answer: note reduction
Step-by-step explanation:
A PE C
Write an equation to describe the linear function that fits the given characteristics.
Passes through the points (1,2) and (3,-4)
Parallel to y=1/4x+5 and passes through the point (4,8).
1/4x+7 passes through (4,8) but to make it pass through (1,2) and (3,-4) would be better for perpendicular. perpendicular is -4x+6 for (1,2) and (3,-4) which is kind of the closes i had time to play with it.
Zoom in for a better look BUT HELP PLS ITS MY FINALS! I RLLY NEED HELP
Answer:
C.
Step-by-step explanation:
The word biodiversity means the variety of life and in this case, bats
Ecosystem 1 has the most variety bc it has the most number of different varieties of bats observed
hope this helps <3
For the quadratic equation f(x) = x2 + 8x + 15, identify the vertex
and one of the zeros
Answer:
vertex = ( − 4 , − 1 )
Zeros x = − 3, -5
Step-by-step explanation:
PLS EXPLAIN HOW U GOT THE ANSWER
Sara needs to cover the top and sides of the cylinder below
diameter 6 in.
height 8 in.
About how many square inches of paper will Sara need?
O 528 in.
O 415 in.
O 207 in.
O 179 in.
415 in
take 8 times 6 four times and add them together
3 2/5 + 4 2/7 = _________
2 5/8 + 6 1/6 = _________
4 8/10 + 5 2/6 =________
6 7/12 + 3 19/14 = _______
To the nearest tenth, which is the perimeter of ABC?
61°
20
29°
B
A 9.6
o
B. 17.4
C. 27.2.
0 D 47.2
Answer:
Step-by-step explanation:
BC = 20sin(61°) ≅17.5
AC = 20cos(61°) ≅ 9.7
perimeter = 20+17.5+9.7 = 47.2
Isandro and Yvette each have a calculator. Yvette starts at 100 and subtracts 7 each time. Isandro starts at 0 and adds 3 each time. If they press the keys at the same time, will their displays ever show the same number? If so, what is the number?
Answer: 30
Step-by-step explanation:
Yvette- 100-7
Isandro- 0+3
1.) I'm going to speed up the process and multiply by 5.
Yvette: 100-7
7 × 5 = 35
100-35= 65
65-35= 30
Isandro: 0+3
3 × 5 = 15
0+15= 15
15+15= 30
2.) If they keep going on this pattern they will have the same number on the 10 round.
At burns high school 3/5 of the students are females of the female students 1/3 of them play volleyball what fraction of the students in burn high school are girls that play volleyball
3/5 of 1/3 means 3/5 x 1/3
[tex]\frac{3}{5} \times \frac{1}{3} = \frac{3}{15}[/tex]
3/15 simplifies to 1/5
So 1/5 of the students in the high school are girls who play volleyball
Round 53,738 to the nearest thousand.
Answer:
54000
Step-by-step explanation:
53,738
3 is in the thousands place so we look at the hundreds place
7 is 5 or above so we round the 3 up to 4
54000
Are congruent triangles also similar?
Answer: yes they are
Step-by-step explanation:
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal.
Answer:
Yes
Step-by-step explanation:
While congruent triangles are similar, similar triangles may not be congruent.
Convert 48 ounces to pounds.
Answer:
Step-by-step explanation:
3 lbs
Answer:
3 pounds 16oz equals 1 pound
and 48 divided by 16 is 3
give brainliest plz ༼ つ ◕_◕ ༽つ
Step-by-step explanation:
Monica bought a new house and she is looking to get cable and wifi. She is looking for reasonable prices. Monica is trying to compare two different companies. Comcast is charging $60 per month and $4 for any extra channels. On the other hand, Verizon is charging $45 per month and $6 for any extra channels.
=4+60
=6+45
PLEASE HELP ASAP
Answer:
I think she should get the Verizon house hold Wifi because when you compare the prices even if Monica doesn't want any extra channels she would still save $15. Even tho the extra channel was $4 for the Comcast when you add it up you get $64 instead when you use Verizon even tho you pay $6 for extra channels you still don't get the amount for the Comcast which you save $13 by getting Verizon with $51.
Step-by-step explanation: