what is the remainder
Notice that the rule for each animal involves counting the number of chirps in different time intervals. For the Brookdale cricket you count the number of chirps in 15 seconds and for the katydid you count the number of chirps in 20 seconds. If c is the number of chirps per minute, what is the expression for the number of chirps for i) The Brookdale cricket in 15 seconds
Mr. Taylor has 24 sports trophies. Of the trophies, 1
8 are wrestling trophies. How many
wrestling trophies does Mr. Taylor have?
Answer: 18 wrestling trophies.
Step-by-step explanation:
Accuracy in taking orders at a drive-through window is important for fast-food chains. Periodically, QSR Magazine publishes "The Drive-Thru Performance Study: Order Accuracy" that measures the percentage of orders that are filled correctly. In a recent month, the percentage of orders filled correctly at Burger King was approximately 90.5%. Suppose that you and two friends go to the drive-through window at Burger King and place an order. Two friends of yours independently place orders at the window at the same store.
a. What is the probability that all the three orders will be filled correctly?
b. What is the probability that none of the three will be filled correctly?
c. What is the probability that one of the three will be filled correctly?
d. What is the probability that at least one of the three will be filled correctly?
e. What is the probability that only your order will be filled correctly?
Answer:
a) 0.7412 = 74.12% probability that all the three orders will be filled correctly.
b) 0.0009 = 0.09% probability that none of the three will be filled correctly
c) 0.0245 = 2.45% probability that at least one of the three will be filled correctly.
d) 0.9991 = 99.91% probability that at least one of the three will be filled correctly
e) 0.0082 = 0.82% probability that only your order will be filled correctly
Step-by-step explanation:
For each order, there are only two possible outcomes. Either it is filled correctly, or it is not. Orders are independent. 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.
The percentage of orders filled correctly at Burger King was approximately 90.5%.
This means that [tex]p = 0.905[/tex]
You and 2 friends:
So 3 people in total, which means that [tex]n = 3[/tex]
a. What is the probability that all the three orders will be filled correctly?
This is P(X = 3).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.905)^{3}.(0.095)^{0} = 0.7412[/tex]
0.7412 = 74.12% probability that all the three orders will be filled correctly.
b. What is the probability that none of the three will be filled correctly?
This is P(X = 0).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.905)^{0}.(0.095)^{3} = 0.0009[/tex]
0.0009 = 0.09% probability that none of the three will be filled correctly.
c. What is the probability that one of the three will be filled correctly?
This is P(X = 1).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{3,1}.(0.905)^{1}.(0.095)^{2} = 0.0245[/tex]
0.0245 = 2.45% probability that at least one of the three will be filled correctly.
d. What is the probability that at least one of the three will be filled correctly?
This is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
With what we found in b:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0009 = 0.9991[/tex]
0.9991 = 99.91% probability that at least one of the three will be filled correctly.
e. What is the probability that only your order will be filled correctly?
Yours correctly with 90.5% probability, the other 2 wrong, each with 9.5% probability. So
[tex]p = 0.905*0.095*0.095 = 0.0082[/tex]
0.0082 = 0.82% probability that only your order will be filled correctly
Can somebody help and show work
Answer:
( x +1 ) ( x + 3 )
What is 75% of 162? Show your work and/or explain your reasoning.
Answer:
121.5
Step-by-step explanation:
75% = 75/100
Step 2 - Mutiply percenatge fraction by the entire (100%) quantity
75/100× 162 = 121.5
Final result
75 percent of 162 is 121.5
Answer:
121.5
Step-by-step explanation:
| percantage x 100% |
75/100 x 162 = 121.5
The measure of an angle is 72 degrees what is the measure of its conplementary angle
Answer:
18
Step-by-step explanation:
A suitcase is discounted 40 % off the original price, p . Which expression represents the price of the suitcase with the discount?
Answer:
Step-by-step explanation:
b
0.6p is the expression represents the price of the suitcase with the discount
How to calculate perecent discountHow can I figure out a discount of X%?You apply the fundamental formula given above in this situation.Take the original cost.The result is multiplied by the discount and divided by 100.Subtract the updated amount from the starting cost.Your total price is that. Enjoy your discounts!To learn more about discount, refer to https://brainly.com/question/1548141
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3/4 of 1/3 =? please show me how to do it
Can somebody help me?
Answer:smsjsjsjsjsjss
Step-by-step explanation:idididididisjsnsbuxxjhx
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What is equivalent to -8z+ (-3.5) +1.5z+3y-5.5
Answer: =3y−6.5z−9
Step-by-step explanation:
The approximate length (in cm) of a typical Pacific halibut t years old is given by f(t) = 200(1 -0.956e-0.181).
A Pacific lialibut caught by Mike measures 140cm. What is its approximate age?
Answer:
6 years old
Step-by-step explanation:
Given
[tex]f(t) = 200(1 -0.956e^{-0.18t})[/tex]
Required
Find t when f(t) = 140cm
Substitute f(t) = 140cm
[tex]140 = 200(1 -0.956e^{-0.18t})[/tex]
Divide both sides by 200
[tex]0.7 = 1 -0.956e^{-0.18t}[/tex]
Collect like terms
[tex]0.956e^{-0.18t} = 1 -0.7[/tex]
[tex]0.956e^{-0.18t} = 0.3[/tex]
Solve for t
[tex]e^{-0.18t} = 0.3/0.956[/tex]
[tex]e^{-0.18t} = 0.31381[/tex]
Take natural logarithm of both sides
[tex]ln(e^{-0.18t}) = ln(0.31381)[/tex]
[tex]-0.18tln(e) = ln(0.31381)[/tex]
[tex]-0.18t*1 = ln(0.31381)[/tex]
[tex]-0.18t = -1.159[/tex]
Solve for t
[tex]t = (-1.159)/(-0.18)[/tex]
[tex]t = 6.43[/tex]
[tex]t \approx 6[/tex]
if Suzannah's budget limit is $10 per month, how many text messages can she send in one month?
Answer:
.10x100=$10
Am smort :D
The first week of January it
snowed 12 inches. This week
it snowed 16 inches. How
many inches has it snowed in
all?
Answer:
28 inches
Step-by-step explanation:
the answer is 28 inches
12+16= 28
Number of snow snowed in January = 12 inches
Number of snow snowed this week = 16 inches
Number of snow snowed at all = 12+16
= 28 inches
hence it snowed 28 inches at all
Can someone help me it’s due tomorrowwwww
Number one is straight angle
number two is obtuse
number three is acute
Number 4 is acute
number 5 is a right angle
number 6 is obtuse
number 7 is right angle
number 8 is obtuse
what is the value of p+9 when p=16
Answer:
25 :)
Step-by-step explanation:
well, if it's p+9 and you know that p=16 then you plug 16 in for p so the equation will be 16+9 and then you solve from there which is 25
How many thirds are in 12?
How do you check your answer or plug it in after solving |2x + 1| = 9 ???
Step-by-step explanation:
2x + 1 = 9
2x = 9 - 1
2x = 8
x = 8 ÷ 2
x = 4
----------------------------------FOLLOW MEPLEASE
Answer:
Step-by-step explanation:
To solve:
|2x+1|=9
|2x+1|=-9
2x=8
x=4
2x=-10
x=-5
2x+1=9
2(4)+1=9
9=9, so its true.
2x+1=-9
2(-5)+1=-9
-9=-9, so it’s true too
Find the values of x and y.
x+x+90=180
x+x+90=1802x+90=180
x+x+90=1802x+90=1802x=180-90
x+x+90=1802x+90=1802x=180-902x=90
x+x+90=1802x+90=1802x=180-902x=902x/2x =90/2
x=45
9y+9y+90=180
18y+90=180
18y=180-90
18y=90
18y/18 =90/18
y=5
5. X is a normally distributed random variable with a mean of 8 and a standard deviation of 4. This can be written as N(8,4). The probability that X is between 1.48 and 15.56 is _____________. Write out the probability notation for this question.
Answer:
The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using 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.
X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.
This means that [tex]\mu = 8, \sigma = 4[/tex]
The probability that X is between 1.48 and 15.56
This is the pvalue of Z when X = 15.56 subtracted by the pvalue of Z when X = 1.48. So
X = 15.56
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15.56 - 8}{4}[/tex]
[tex]Z = 1.89[/tex]
[tex]Z = 1.89[/tex] has a pvalue of 0.9706
X = 1.48
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.48 - 8}{4}[/tex]
[tex]Z = -1.63[/tex]
[tex]Z = -1.63[/tex] has a pvalue of 0.0516
0.9706 - 0.0516 = 0.919
Write out the probability notation for this question.
[tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]
The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]
6t/9-22;t=60
please help me
Answer:
if t=60, then 6(60)/9-23. (360-198)/9
=18
passes through (-3,-10) and has vertex (3,-8)
Answer:
You did not ask a question, but if you need Math help in the future try using the apps I named in the screenshot since Brainly does not allow me to write it.
Step-by-step explanation:
Find the missing dimension of each prism the volume equals 60 in.³ width equals 2.5 in. length equals 4 in. FIRST CORRECT ANSWER GETS 15 POINTS!!!
Answer:
Missing dimension is 6
Step-by-step explanation:
2.5 times 4 is 10, to get to 60, your missing 6, 60/10=6
what is the square root of -20
Answer:
4.47213595
Simplify in the tenths place and get 4.47
Step-by-step explanation:
Using a directrix of y = 2 and a focus of (3, −4), what quadratic function is created?
Answer:
f(x) = -1/12 (x - 3)^2 - 1
Step-by-step explanation:
Can someone help with this asap ?
Answer:
y=-(x+11)(x-23)
Step-by-step explanation:
y=-(x+11)(x-23)
use the x intercepts they give you, and make it the opposite i.e. if it positive, then make it negative if it is negative make it positive
i.e. -11 equals 11
thus (x+11)
then, the graph is concave down, so it is negative at the front
The zoo has 4 tigers and plans to adopt more tigers soon. Gabby meets with Chloe, the manager of the tiger exhibit, to discuss the tigers’ habitat. They want to make sure there is enough space for the new tigers.
The Natureland Zoo has these requirements for a tiger habitat:
The trees, feeding station, and drinking station need at least 300 square feet all together.
Each tiger needs at least 225 square feet of space.
How many square feet of space is the zoo required to have for 4 tigers? Show your work.
Answer:
multiple 4×225 because there are 4 tigers and one Tiger needs 225 square feet so mutiple 4×225 and you got 900 so the answer will be 900 square feet
Expand t (4t - 4 ) answer if you can plz
Answer:
42−4
Step-by-step explanation:
Answer:
4t^2 −4t
Step-by-step explanation:
t(4t−4)
Use the distributive property to multiply t by 4t−4.
4t^2 −4t
Explain how to use the Pythagorean Theorem to find the missing length of a right triangle.
Pythagorean theorem.
a^2+b^2=c^2
This means that the square of the length of the 2 legs of a right triangle added together = the square of the length of the hypotenuses or diagonal.
If you know 2 of the values in the 3 variables a,b,c what would you do to find the missing variable value?
I will not write the exact answers to this problem. I think you can figure how to write it out yourselves.
PLEASE I NEED HELP THIS NEEDS TO GET DONE SOON AND IM STUCK):
Question 2 Multiple Choice Worth 2 points) (06.03) For the expression y + 6 - 3, determine the coefficient for the variable term 1 06
Answer:
1
Step-by-step explanation:
whenever there is a varible alone the coefficient is 1