17 teachers are neither married nor have their spouses not in the school
Venn diagram
A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things.
Venn diagrams help to visually represent the similarities and differences between two concepts.
From the question:
Number of teachers neither married nor have their spouses not in the school = 38 - (15 + 6) = 17
Find out more on venn diagram at: https://brainly.com/question/1024798
Answer:
17
Step-by-step explanation:
15-6=21
38-21=17
What is the total cost of a video game that is $59.99 with a sales tax of 7%?
Answer:
Your total will be $64.19
Step-by-step explanation:
I know this because 7% is $4.20 and so if i add $59.99 to $4.40 i will get $64.19:)
what fraction has the same value as 8/24
Answer:
8/24 = 1/3
Step-by-step explanation:
divide numerator and denominator by 8
solve the equation 12n-60
Answer:
n-5
Step-by-step explanation:
Which expression is equivalent to 5 + 15x?
0 A. 5(1 + 3x)
ОВ. 1(5 + 3x)
Ос. 3(5 + х)
OD. 5(3x)
оооо
Answer:
A. 5(1 + 3x)
Step-by-step explanation:
5(1 + 3x)
(5 × 1) + (5 × 3x)
5 + (5 × 3x)
5 + 15x
A works. Let's check the rest.
1(5 + 3x)
(1 × 5) + (1 × 3x)
5 + (1 × 3x)
5 + 3x
B does not work.
3(5 + х)
(3 × 5) + (3 × x)
15 + (3 × x)
15 + 3x
C doesn't work.
5(3x)
5 × 3x
15x
B, C, and D do not work.
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components are operating. Assume that the components act independently.a) Find the probability that exactly two of the four components last longer than 1000 hours.b) Find the probability that the subsystem operates longer than 1000 hours.
Answer:
a) 0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.
b) 0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.
Step-by-step explanation:
For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The probability of a component failing in less than 1000 hours is independent of any other component. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours.
Four components means that [tex]n = 4[/tex]
Probability of 0.2 of failling means that 1 - 0.2 = 0.8 probability of not failling, so [tex]p = 0.8[/tex]
a) Find the probability that exactly two of the four components last longer than 1000 hours.
This is [tex]P(X = 2)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]
0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.
b) Find the probability that the subsystem operates longer than 1000 hours.
It will operate if at least two compoents last longer than 1000 hours. So
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]
[tex]P(X = 3) = C_{4,3}.(0.8)^{3}.(0.2)^{1} = 0.4096[/tex]
[tex]P(X = 4) = C_{4,4}.(0.8)^{4}.(0.2)^{0} = 0.4096[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.1536 + 0.4096 + 0.4096 = 0.9728[/tex]
0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.
please help me please brainliest
Answer:19
Step-by-step explanation:perimeter is everything added since it’s a rectangle 10 on both length sides will be 20 so 58-20 is 38 divide that by 2 and that’s your answer.
Can someone help me with these questions and show work please and thank you
Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
Will give brainliest if you awnser all math questions
1. Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Which savings account is growing fastest?
They are growing at the same rate.
simple interest
compounded quarterly
2.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Use the graph shown to estimate the amount in Account A in 30 years.
$340
$350
$370
$400
3.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Use the graph shown to estimate the amount in Account B in 30 years.
$400
$410
$420
$450
4.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
What is the approximate difference between the two accounts in 20 years?
$100
$50
$25
$10
5.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Why is the amount much higher in the compounded interest account?
The account started with more money.
The account is in a better bank.
The interest rate is higher.
The account pays interest on both the principal and the interest accumulated.
Answer: Compounded quarterly, 350, 420, 25, the account pays interest on both the principal and the interest accumulated.
Step-by-step explanation:
Question 1: Compounded quarterly is growing fastest because it's broken down more than what simple interest does and therefore is faster instead.
Question 2: Account A in 30 years would be 350, I did this problem and eyeballed it. Trust me.
Question 3: Account B in 30 years would be 420.
Question 4: The approximate difference between the two accounts in 20 years would be 25.
Question 5: If the rate of interest is annual and the interest is compounded quarterly then the number of years is 4 times and the rate of annual interest is one-fourth. Therefore, the account pays interest on both the principal and the interest accumulated.
Hope this helps
The simple interest and compound interest are solved for both the curves
a) The compound interest is growing fastest
b) the amount in Account A in 30 years A = $ 350
c) The amount in Account B in 30 years is B = $ 420
d) The difference between the two accounts in 20 years = $ 25
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
a)
Let the 2 curves be represented as A and B
Now , the amount invested by A = $ 200
The rate of simple interest = 2.5 %
And , the amount invested by B = $ 200
The rate of compound interest = 2.5 %
So , we can say that since it is more thoroughly broken down than basic interest is, compounded quarterly growth is the quickest.
b)
The amount for A in 30 years is given in the graph
A = $ 350
c)
The amount for B in 30 years is given in the graph
B = $ 420
d)
The amount for A in 20 years is given in the graph = $ 300
The amount for B in 20 years is given in the graph = $ 325
The difference between the two accounts in 20 years = $ 325 - $ 300
The difference between the two accounts in 20 years = $ 25
Hence , the compound interest is solved
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The radius of a circle is 7 m. Find its circumference in terms of pi.
Answer:
Step-by-step explanation:
Circumference is 2pir
So 14pi meters
Tues. 2.15 Question: Mr. Becker solved the
following equation: 10x = 3x + 21. He got an an
answer of X=2. Did Mr. Becker get the answer
correct? If not, what did he do wrong.
Answer:
YES X=3
Step-by-step explanation:
10x=3x+21
-3x -3x
7x=21
________ . *DIVIDE BY 7 on each side
7 7
X=3
Solve question above ^
w=?
Answer:
w = -6/7
Step-by-step explanation:
-1w/2 - 3/5 = 1w/5
multiply by 10 to eliminate fractions:
-5w - 6 = 2w
-6 = 7w
w = -6/7
the lowest point of the dry lake bed in the example has an elevation of -18 3/4 ft what number represents the change in elevation from the start of the path to the lowest point in the dry lake bed show your work (my teacher said she messed it up so it’s the same question just the numbers are -18 3/4 - (-12 1/2) explain how !
Answer:
the lowest point of the dry lake bed in the example has an elevation of -18 3/4 ft what number represents the change in elevation from the start of the path to the lowest point in the dry lake bed show your work (my teacher said she messed it up so it’s the same question just the numbers are -18 3/4 - (-12 1/2) explain how !
help!!!!! will give big brain
marcia is typing her report for history class. She can type 4 pages in 45 minutes. At that rate, how many pages does she type per hour? Round to the nearest hundredth.
Answer:
5.34 pages/h
Step-by-step explanation:
4/45 = p/60
p ≈ 5.34
Answer:
Step-by-step explanation:
3/4 of an hour is the same as 0.75
Write a proportion.
4 (pages)/0.75 (hours)=p(pages)/1 hour
Cross multiply and divide
(4x1)÷0.75=5.33 (rounded to the nearest hundred)
p=5.33
Marcia can type 5.33 pages per hour.
Can I have help with this question?
Answer:
Step-by-step explanation:
<2, <3, <6 have the measure of 135 degrees
Find the sum of all numbers 1 to 1000
Answer:
it is 500500
Step-by-step explanation:
learned this fact a few years ago and it stuck with me.
Mr. Herron drives for .9 hours (54 minutes) to reach El Rancho every day for work. If his average speed was 25 miles/hour, how far does Mr. Herron live from El Rancho?
Christy is painting pinwheels to sell at a fair. It takes her 1.5 hours to paint each pinwheel. How many pinwheels will she be able to paint in 13.5 hours?
Answer: 9 hours
Step-by-step explanation:
13.5 hours / 1.5 hours = 9 hours
The ratio of the girls to boys in the school
marching band is 10 to 8. If there are 32 boys in
the marching band, how many of the students in
the marching band are girls?
A 38
B, 40
C. 26
D, 42
A baseball player hit 345 out of 1,000 balls pitched to him. What are the chances he gets a hit when he steps up to the plate?
Answer:
0.345
Step-by-step explanation:
hits/at-bats = 345/1000 = 0.345
The probability of a hit, any particular time he goes to bat. is 0.345.
The problem does not request any particular format, so 0.345 is a perfectly good answer.
In baseball, that is called a 'batting average', and is actually expressed that way - as a decimal - in a player's statistics.
On the other hand, if we did want to express the probability as a percentage, we would do this:
0.345 * 100% = (0.345 * 100) % = 34.5 %
Hope this helps
Which shows how to add 6 + 4+ 5?
6 = 6 and 4 + 5 = 9
1) 6+4 = 10 and 10 + 5 = 15
<» 6+4 = 10 and 4 + 5 = 9
Answer:
6+4=10 and 10+5=15
Step-by-step explanation:
Find x
X + 50
X + 10
Answer:
x = 60
Step-by-step explanation:
(x + 50)° + (x + 10)° = 180° (interior angles on the same side of transversal)
(2x + 60)° = 180°
2x + 60 = 180
2x = 180 - 60
2x = 120
x = 120/2
x = 60
will give brianlist
Jennifer has a hair ribbon that is 12 centimeters long. What is the length of the ribbon in millimeters? Use the number of zeros of the product when multiplying a number by a power of 10 to help you.
120 millimeters
12 millimeters
1,200 millimeters
1.2 millimeters
"For which value of c does Limit of f (x) as x approaches c not exist?"
The limit does not exist at the jump discontinuity at x = -2.
From the left, the green-ish curve approaches 4; from the right, the orange curve approaches 6. These one-sided limits are not equal, so the two-sided limit does not exist.
A limit of a function does not exist at a point x is the limit of f(x) approaching x to the left is different of the limit of f(x) approaching x to the right.
Using this concept, we find that the limit does not exist at c = -2.
Points we need to verify:
Points in which there are changes in the definition of the function, which are:
x = -4, -2, 2, 4
At x = -4
The definitions are bunched together, so the lateral limits are the same, and the limit exists.
At x = -2
As the function approaches x = -2 to the left(x < -2), its value is close to 4, so the limit is 4.
As the function approaches x = -2 to the right(x > -2), its value is close to 6, so the limit is 6.
Since the lateral limits are different, for c = 2, the limit does not exist, and this is the correct answer.
At x = 2
The lateral limits are the same, the only thing that changes is the definition of the function at x = 2, which does not affect the limit, which exists.
At x = 4
The definitions are bunched together, so the lateral limits are the same, and the limit exists.
For more on lateral limits, you can take a look at https://brainly.com/question/23405626
What are the vertices of AA'B'C'if AABC is dilated by a scale factor of 1/3
Answer:
B
Step-by-step explanation:
3x + 2 y =12
Solve for y
Answer:3x/2
Step-by-step explanation:Move all terms that don't contain
y
to the right side and solve.
Answer:
-3/2x+6
--
You start by simplifying the equation.
FIND THE ERROR: Chun and Traci are determining the value of x in the figure. Chun says to find the value of x, solve the proportion = 1, but
Treci says to find the value of 1, the proportion is should be solved. Is either of them correct? Explain your reasoning
9514 1404 393
Answer:
Chun is correct
Step-by-step explanation:
The angle bisector divides the sides of the triangle proportionally. Any proportion that is written should equate ratios of corresponding sides.
Chun's proportion correctly relates the top-side measures to their corresponding bottom-side measures:
top short : bottom short = top long : bottom long
5 / 8 = 15 / x
__
Traci's error is that she mixes top-side and bottom-side measures. Her incorrect relation is ...
top short : bottom long = bottom short : top long
She has used top:bottom for short measures and bottom:top for long measures. This mixing will give Traci an incorrect solution.
__
Chun's proportion correctly gives x=24.
Answer:
Step-by-step explanation:
Chun; by the Triangle Angle Bisector Theorem, the correct proportion is 58=15x.
A maximum regulation-sized soccer field is 360 ft. by 225 ft. What is the area?
Answer:
The last one, 81000 sq ft.
Step-by-step explanation:
To find area, you do length times width.
81,000 ft. squared
Square root of 3
Square root of 36
Square root of 9
Which number is irrational?
Answer:
Square root of 3
Step-by-step explanation:
Answer:
can you help me with this math am not good enough
If ABCD is a parallelogram, m
A
B
(3x + 4)º
D
xº
C
Equation:
X=
(PLEASE HELP)
Answer:
x is 44 because
3x+4+x=180
4x=180-4
4x=176
x=44