Answer: D. 7
Step-by-step explanation:
The functions f(x),8(x), and h(x) are defined below.
f(x)=32
g(x)= 10x+4
h(x)= x - *
Calculate the indicated function values. Simplify your answers,
13. f(7)
14. f(-9)
15. f(s)
16. f(s – t)
17. g(7)
18. g(-9)
19. g(s)
20. g(s - t)
Answer:
Step-by-step explanation:
f(7) = 32
f(-9) = 32
f(s) = 32
f(s-t) = 32
g(7) = 10·7+4 = 74
g(-9) = 10(-9)+4 = -86
38 is what percent of 84 (to the nearest percent)?
Answer:
45.24
Step-by-step explanation:
Percentage Calculator: 38 is what percent of 84? = 45.24.
Answer:
45%
Step-by-step explanation:
84÷100=0.84
38÷0.84=45.24 rounded that is 45%
Find the solutions to the equation below.
Check all that apply.
9x^2 - 81 = 0
A. X=-81
B. x= 9 C.
x= 3
D. x= -3
E. X=-9
F.x=1
Step-by-step explanation:
Use the quadratic formula to find the solutions.
−b±√b2−4(ac)2a-b±b2-4(ac)2a
Substitute the values a=9a=9, b=0b=0, and c=−81c=-81 into the quadratic formula and solve for xx.
x=±3x=±3
The final answer is the combination of both solutions.
x=3,−3x=3,-3
2. Robert has three jobs. He worked at Young's Grocery and earned $5,805. He was a waiter at the A & B Restaurant and earned $12,445. He also earned $56,002
working for CCD Communications. Each employer took out 6.2% for Social Security. How much did Robert pay in Social Security?
Answer:
Robert paid $4,603.6 in Social Security.
Step-by-step explanation:
Robert total earnings:
$5,805 at Young's Grocery.
$12,445 at A&B Restaurant.
$56,002 at CCD Communications.
So his total earnings are of:
5805 + 12445 + 56002 = $74,252
How much did Robert pay in Social Security?
6.2%, that is, 0.062 of $74,252. So
0.062*74252 = $4,603.6
The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a rate parameter of four per hour. (a) What is the probability that exactly three arrivals occur during a particular hour? (Round your answer to three decimal places.) (b) What is the probability that at least three people arrive during a particular hour? (Round your answer to three decimal places.) (c) How many people do you expect to arrive during a 30-min period?people
Answer:
a) 0.195 = 19.5% probability that exactly three arrivals occur during a particular hour.
b) 0.762 = 76.2% probability that at least three people arrive during a particular hour
c) 2 people.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Poisson process with a rate parameter of four per hour.
This means that [tex]\mu = 4[/tex].
(a) What is the probability that exactly three arrivals occur during a particular hour?
This is P(X = 3). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 3) = \frac{e^{-4}*4^{3}}{(3)!} = 0.195[/tex]
0.195 = 19.5% probability that exactly three arrivals occur during a particular hour.
(b) What is the probability that at least three people arrive during a particular hour?
Either less than three people arrive during a particular hour, or at least three does. The sum of the probabilities of these outcomes is 1. So
[tex]P(X < 3) + P(X \geq 3) = 1[/tex]
We want [tex]P(X \geq 3) = 1 - P(X < 3)[/tex], in which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]. So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-4}*4^{0}}{(0)!} = 0.018[/tex]
[tex]P(X = 1) = \frac{e^{-4}*4^{1}}{(1)!} = 0.073[/tex]
[tex]P(X = 2) = \frac{e^{-4}*4^{2}}{(2)!} = 0.147[/tex]
So
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.018 + 0.073 + 0.147 = 0.238[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.238 = 0.762[/tex]
0.762 = 76.2% probability that at least three people arrive during a particular hour.
c) How many people do you expect to arrive during a 30-min period?
One hour, 4 people
Half an hour = 30 min = 4/2 = 2 people.
juan has 12 pencils. two-thirds of these pencils are sharpned which model represents the number of sharpend pencils juan has?
Answer:
8
Step-by-step explanation:
Answer: Do you have a picture?
n a box of 12 tape measures, there is one that does not work. Employees take a tape measure as needed. The tape measures are not returned, once taken. You are the 8th employee to take a tape measure. Is this a binomial experiment?
a. Yes, the probability of success is one out of 12 with 8 selected.
b. No, the probability of getting the broken tape measure changes as there is no replacement.
c. Yes, you are finding the probability of exactly 5 not being broken.
d. No, binomial does not include systematic selection such as "eighth".
Answer:
b. No, the probability of getting the broken tape measure changes as there is no replacement.
Step-by-step explanation:
For each tape measure, there are only two possible outcomes. Either it is broken, or it is not, which means that the first condition for the binomial distribution is respected.
However, the tapes are not returned to the box, which means that in each trial, the probabilities of getting the tape with defect changes, which means that the binomial distribution cannot be used. So option b is the correct answer
You make $35000 a year, an you get a 10% raise. Your new salary is $[???]. The next year you get a 10% cut. Your new salary is $[???]. That is [???]% less than your initial salary.
Answer:
34650
Step-by-step explanation:
Answer: your new salary would be $34,650 which is -1% of what your initial salary was ($35000)
Step-by-step explanation:
35000x.10=3500
35000+3500=38500
38500x.10=3850
38500-3850=34650
34650-38500=-350
-350/38500=-1%
Sarah bought 4 2/3 pounds of peaches and 2 1/6 pounds of apples. How many more pounds of peaches did she buy than apples?
Gary’s cat weighs 11 pounds. How many ounces is Gary’s cat?
Answer:
176 ounces :)
Step-by-step explanation:
7(-9a-3)-2a please help
Answer:
-65a -21 "that is the simplified version"
Answer:
-65a - 21
Step-by-step explanation:
7 ( -9a - 3 ) -2a
Distribute, multiply every term in the parenthesis by the term right outside of the parenthesis,
7 ( -9a - 3 ) - 2a
-63a - 21 - 2a
Simplify
-65a - 21
1. Are the two triangles shown below congruent? Use tracing paper to justify your answer.
The bottom part of this block is a rectangular prism. The top part
is a square pyramid. How much paper is needed to completely
cover the block? Explain.
Answer:
Check question number 9 in that file you may be able to understand the problem
Step-by-step explanation:
whats 3(x-8)=7(x+1) as an improper fraction in its simplest form?
Answer:
x = -31 /4
Step-by-step explanation:
3x - 24 = 7x + 7
-24 = 4x + 7
-31 = 4x
x = -31/4
1.21 repeating as a fraction
Answer:
x = 40/ 33
40 ÷ 33 = 1.21 (21 repeating)
The fraction when the decimal number is provided i.e. 1.21 should be considered as the [tex]40\div 33[/tex]
Calculation of the fraction:since the decimal number is 1.21
So, here if we divide the 40 by 33 so it comes 1.21
Therefore, we can conclude that The fraction when the decimal number is provided i.e. 1.21 should be considered as the [tex]40\div 33[/tex]
Learn more about fraction here: https://brainly.com/question/12405736
Solve for k:
8 36
K 1.8
Step-by-step explanation:
I there a picture for the problem ?
what’s the answer for this question?
order these number (smallest to largest)
35.6 0.356 35.63 3.65 356.06 356.6
Answer: 0.356, 3.65, 35.6, 35.63, 356.06, 356.6
Step-by-step explanation:
A store sells comic books. Each comic book costs the same amount. During a sale, the store reduces the price of each comic book by 1.45. Miguel
spends $12.88 on 2 comic books at the sale price.
What was the price of I comic bbok before the sale? Enter the answer in the box.
Answer:
$7.89
Step-by-step explanation:
Given that Miguel spends $12.88 on 2 comic books then the amount spent on 1 book given that the prices of the books are equal will be
= $12.88/2
= $6.44
Given that the store reduced the price of each comic book by $1.45 then the price P of 1 comic book before the sale
P = $6.44 + $1.45
= $7.89
The cost of 1 comic book before the sale ( which is before the reduction in price) is $7.89
is this correct? help please
Answer:
yes
Step-by-step explanation:
y = -4/3x + 8 so you would multiply - 4/3 * x. Then you would add 8 to your answer and if the y value equals the value on the graph then it's correct.
Element X is a radioactive isotope such that every 12 years, its mass decreases by half.
Given that the initial mass of a sample of Element X is 900 grams, how much of the
element would remain after 6 years, to the nearest whole number?
Answer:636
Step-by-step explanation: I just kno
PLEASE HURRY!!!! 20 POINTS simplify the following expression by combining like terms: 4x + 16y - x + 3y
Answer:
3x + 19y is the answer
Can someone help me please ?
Answer:
1 ==> C
2 ==> A
3 ==> B
hope this helps! lmk if you have any questions about my answer
you receive an allowance of a penny the first day of the month and the amount you receive doubles every day for the rest of the month assume the month has 30 days how much would your allowance be after one month?
Answer:
56
Step-by-step explanation:
Jim’s soccer team has a record of 12 wins and 8 losses. Which team below has the same rate of wins and losses?
Answer:
a volleyball team with 9 wins and 6 losses
Step-by-step explanation:
Jim’s soccer team has a record of 12 wins and 8 losses.Hence when divded
the answer is 1.5 or the same as 3/2 .Hence all we need need to do is find the
answer that is the same as 1.5.
Hence the answer is B a volleyball team with 9 and 6 losses.I know it's right because whenever 9 and 6 divdied they make 1.5.hence this answer is right
CH 7 Forces: pages 294 & 296
Calculate net forces. Draw an arrow to show direction. SC.6.P.13.3
Drag an arrow
to complete
your answer.
combined Forces
Net Force
Click to type
30 N
70 N
30 N
40 N
Click to type
60 N
60 N
Click to type
18 N 12 N
30N
awnser 1.100
awnser 2.-10
awnser 3.0
awnser 4.0
please help me with his it needs to be in a fraction form
A basketball player has a 0.6 probability of making a free throw. What is his probability of making two consecutive free throws. Remember free throws are independent of each other. Show work and solve.
Answer:0.36
Step-by-step explanation:
Given
Probability of a free throw =0.6
It is given that the two throws are independent of each other
So, the Probability of making two consecutive throws
[tex]P=\text{Probability of first throw}\times \text{Probability of second throw}\\P=0.6\times 0.6=0.36[/tex]
Can I get some help on this
Answer:
the first one, 2.5x
Step-by-step explanation:
Hope this helps!
Mountain Temperatures
Answer:?
Step-by-step explanation: 10-20 degrees