Answer:2
Step-by-step explanation:
(Need help) (ASAP)
Point: 18
Answer:
10
Step-by-step explanation:
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of minutes and standard deviation of minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, customers in the first line and customers in the second line. Find the probability that the difference between the mean service time for the shorter line and the mean service time for the longer one is more than minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76).
Answer:h
Step-by-step explanation:
What is 1/5 doubled?
Answer:
2/5
Step-by-step explanation:
1/5 · 2/1 = 2/5
Good luck, I hope this helps :)
PLEASE HELP!!! K Is the midpoint of JL Find JK,LK and JL
Answer:
6x+1 = 8x - 7
8 = 2x
x = 4
JK = 6*4+1 = 25
KL = 8*4 - 7 = 25
I take a picture the Letter D because cant see it so i take a picture so can see help pls.
Answer:
D
Step-by-step explanation:
Which statement is true?
D
Show Your Work
A The greatest common factor of 10 and 14 is 5
B. The greatest common factor of 10 and 15 iss.
C. The greatest common factor of 13 and 21 is 3
D. The greatest common factor of 14 and 21 is 3
tttgggggggggggggggggggghfggf
a shelter had 4 spaniel puppies and 6 beagle puppies. Jack adopted 1/2 of the spaniel puppies, and carmen adopted 1/2 of the beagle puppies. who adopted more puppies? How do you know?
Answer:
If Jack adopted half of the spaniel puppies, and there are 4 spaniel puppies, that means that he adopted 2 puppies.
If Carmen adopted half of the beagle puppies, and there are 6 beagle puppies, then Carmen adopted 3 puppies. This means that Carmen adopted more puppies than Jack.
Step-by-step explanation:
1/2 of 4 = 2
1/2 of 6 = 3
Carmen adopted more puppies that is 3 and Jack adopted 2 puppies.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, a shelter had 4 spaniel puppies and 6 beagle puppies.
Jack adopted 1/2 of the spaniel puppies.
That is, 1/2 ×4 =2
Carmen adopted 1/2 of the beagle puppies.
That is, 1/2 ×6 =3
Therefore, Carmen adopted more puppies that is 3 and Jack adopted 2 puppies.
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7. How do you write a deposit of $15?
You would need to generate a deposit slip or utilize an electronic banking system to send the funds into your account to deposit $15.
What is a deposit slip?A deposit slip is a little paper form that is included by a bank customer when depositing payments into a bank account.
To write a deposit of $15, you would need to create a deposit slip or use an electronic banking system to transfer the money into your account.
To write a deposit slip, you would need to follow these steps:
Obtain a deposit slip from your bank or financial institution, or use a deposit slip provided by your bank's mobile app.
Fill in your personal and account information, including your name, account number, and any other required information.
Indicate the amount of the deposit, in this case $15, in the designated area on the deposit slip.
If you are depositing checks or other negotiable instruments, list the details of each item in the designated area on the deposit slip, including the payee, check number, and amount.
Review the deposit slip for accuracy and completeness, and make any necessary corrections.
Submit the deposit slip and any accompanying cash or checks to a bank teller or use an ATM or mobile app to complete the deposit.
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Please hurry it’s homework
I need help!!!! I’m stuck!!!
Answer:
66.3
Step-by-step explanation:
In 2007, Bob Jones University ended its fall semester a week early because of a whooping cough outbreak; 158 students were isolated with suspected infection and another 1200 given antibiotics as a precaution.14 Authorities react strongly to whooping cough outbreaks because the disease is so contagious. Because the effect of childhood vaccination often wears off by late adolescence, treat the Bob Jones students as if they were unvaccinated. It appears that approximately 1400 students were exposed. What is the probability that at least 75% of these students would develop infections if not treated
Answer:
If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.
Step-by-step explanation:
Let Y be the no. of infections
The number of students who have been exposed to whooping cough is as follows:
n = 1400
n = 1400 and p = 0.8
nm = 1400 x 0.8
nm = 1120
n(1-m) = 1400 x (1-0.8)
n(1-m) = 280
Here,
Both nm and n(1-m) are greater than or equal to 10. So, we use normal distribution.
The mean and standard deviation of number of new infections is:
u = np
u =1400 x 0.8
u = 1120 = mean
SD = Standard Deviation
SD = [tex]\sqrt{1120(1-0.8)}[/tex]
SD = 14.966
The number of infections is distributed in an approximately normal way
N(1120,14.966)
75% of 1400 means 0.75 x 1400 = 1050
So,
Probability required.
P (Y[tex]\geq[/tex] 1050) = P (Y [tex]\geq[/tex] 1050 - 0.5) (Continuity Correction)
P (Y[tex]\geq[/tex] 1050) = P([tex]\frac{Y - u}{SD} \geq \frac{1049.5 - 1120}{14.966}[/tex])
P (Y[tex]\geq[/tex] 1050) = P(Z [tex]\geq[/tex] -4.71)
P (Y[tex]\geq[/tex] 1050) = P(Z [tex]\leq[/tex] 4.71)
Using the z table:
P (Y[tex]\geq[/tex] 1050) ≈ 1
Hence,
If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.
Can you solve these trapezoid areas please?
Thank you
the first one is 3.15 and the second one is 630
Fred buys 16 bags of tortilla chips and 28 jars of salsa dip. What is the ratio of salsa jars to bags of tortilla chips? Simplify your answer.
Name two angles that are adjacent to
For his car Jason paid 91.48 per speacker for 3 speackers and 92.55 per tire for 5 tires with 8 100 bills . How much did Jason get in change ?
Answer:
1 speaker is $91.48
3 speakers = $91.48 × 3
= $274.44
1 tire is 9$2.55
5 tires = $92.55 × 5
= $462.75
8, 100 bills = $800
The cost for the 3 speakers and 5 tires = $274.44 + $462.75
= $737.19
Therefore, the change that Jason got was = $800 - $737.19
= $62.81
Find the volume of a cone with a base diameter of 6in and a height of 9in. Use the value 3.14 for π, and do not do any rounding. Be sure to include the correct unit in your answer.
Answer:
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Step-by-step explanation:
rex ex Tyri you RCB you in FM TV 36
Solve x - 9 = 3 + y for y.
Step-by-step explanation:
[tex]x - 9 - 3 = y \\ y = x - 12[/tex]
The given equation solved for y as x-12.
The given equation is x-9=3+y.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation can be solved as follows:
x-9=3+y
⇒y=x-9-3
⇒y=x-12
Therefore, the given equation solved for y as x-12.
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pretty pls help with this questionn pls i need helpp
Paula made this model to show the sum of two mixed numbers. Write the addition equation shown by the model and solve it.
You can write out the fraction names or use the forward slash (/) on your keyboard to represent the fraction bars.
A number line from zero to one partitioned into thirds. There is a gray rectangle above the number line stretching from zero to three and two thirds. To the right is a darker gray rectangle above the number line stretching from three and two thirds to six and one third.
Your answer:
Answer:
[tex]3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}[/tex]
Step-by-step explanation:
Given
See attachment for number line
Required
Determine the model
From the attachment, we can see that each partition is 1/3
The gray rectangle covers 11 partitions.
So:
[tex]Gray = 11 * \frac{1}{3}[/tex]
[tex]Gray = \frac{11}{3}[/tex]
Express as a mixed number
[tex]Gray = 3\frac{2}{3}[/tex]
The black rectangle covers 8 partitions
So:
[tex]Black= 8 * \frac{1}{3}[/tex]
[tex]Black= \frac{8}{3}[/tex]
Express as a mixed number
[tex]Black= 2\frac{2}{3}[/tex]
So, the model is:
[tex]Gray + Black = Total[/tex]
Where Total is the point where the black rectangle stops
[tex]3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}[/tex]
In 2008, the world record for swimming the 50 meter freestyle event was 21.34 seconds. Supposing the athlete swam at a constant rate what was his speed? Round your answer to the nearest hundredth m/s.
Answer:
Speed of swimmer = 2.34 m/s (Approx.,)
Step-by-step explanation:
Given:
Distance covered in world record swimming = 50 meters
Time taken by free style swimmer = 21.34 seconds
Find:
Speed of swimmer
Computation:
Speed = Distance / Time taken
So,
Speed of swimmer = Distance covered in world record swimming / Time taken by free style swimmer
Speed of swimmer = 50 / 21.34
Speed of swimmer = 2.34 m/s (Approx.,)
I need help, image should be attached
100 POINTS FOR 4 QUESTIONS ITS EASY GUYS FOUR PICTURES ATTATCHED
Answer:
x≥-5
x≥4
r≥21
-15 greater than or equal to x
Step-by-step explanation:
a - b/c when a = 0.6, b = 0.2, and c = 0.5
Answer:
a-b/c
or
0.6-0.2/.5
0.6-0.4
0.2
Which group has more people?
Answer:
Daytime people.
Step-by-step explanation:
Evening people have 125.
Daytine people have 140.
Answer:
B
Step-by-step explanation:
sorry if I am wrong
but you got what it takes to do it ⭐⭐⭐⭐⭐
What is the value of 3n-1 when n 20?
Answer:
59
Step-by-step explanation:
3*20-1=59
Solve the equations
2^x – 5^y = 3 and 2^x-3 + 5 ^y-2 =21
You can substitute a = 2ˣ and b = 5ʸ to make both equations linear.
The first equation becomes
a - b = 3
In the second equation, first simplify the exponents:
2ˣ ⁻³ = 2ˣ × 2⁻³ = 1/8 × 2ˣ
5ʸ ⁻² = 5ʸ × 5⁻² = 1/25 × 5ʸ
so the second equation changes to
a/8 + b/25 = 21
Multiply both sides of this by 200 (the LCM of 8 and 25) to eliminate the fractions:
25a + 8b = 4200
Multiply both sides of the first equation by 8, then add the corresponding sides of both equations. This eliminates b and you can solve for a :
8 (a - b) + (25a + 8b) = 8 (3) + 4200
(8a - 8b) + (25a + 8b) = 24 + 4200
33a = 4224
a = 128
Plug this into the first equation to solve for b :
128 - b = 3
b = 125
Now solve for x and y. Notice that
128 = 2⁷
and
125 = 5³
so it follows that x = 7 and y = 3.
Alternatively, you can use logarithms. For example,
a = 2ˣ → log₂(a) = log₂(2ˣ ) → x = log₂(128) = 7
In a cafeteria, 3/10 of the students ate eating salads, and 3/5 are eating sandwiches. There are 30 students in the cafeteria. How many students are eating lunches other than salads or sandwiches?
Answer:
1/10 or 3kids
Step-by-step explanation:
First you want to take 3/5 into 10nths so you do 3/5 times two and you get 6/10 then you add up 6/10 and 3/10 and you get 9/10. 30÷ 9/10 is 27 so 3 kids are having other things
g A test was conducted to determine if there is a difference between Canadian and American average heart rates. A group of 36 Canadians and 34 Americans were randomly selected and their heart rates measured in beats per minute (bpm). The mean heart rate for Canadians was 68.5 and 70 for Americans. The pooled standard deviation of 2.0 beats/minute was calculated. Estimate a plausible range of differences between the mean heart rate of Canadians and Americans. What statistical procedure should be used to answer this research question
Answer:
The test statistic | t | =4.45
Step-by-step explanation:
Step(i):-
Given that the first sample size n₁ = 36
Given that the second sample size n₂ = 34
Mean of the first sample x₁⁻ = 68.5
Mean of the second sample x₂⁻ = 70
Step(ii):-
Test statistic
[tex]t = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } } )}[/tex]
[tex]t = \frac{68.5-70}{\sqrt{2(\frac{1}{36}+\frac{1}{34} ) } }[/tex]
[tex]t = \frac{-1.5}{0.337} = -4.45[/tex]
The test statistic | t | = |-4.45| =4.45
The test statistic is given by t and t is calculated with the help of the test statistic formula. The value of t is 4.45.
What is test statistics?The test statistic summarises the observation data into a unique number using central tendency, the variation, sample, and size in your statistical model.
The given information will be shown below.
The first sample size n₁ = 36
The second sample size n₂ = 34
The mean of the first sample x₁ = 68.5
The mean of second sample x₂ = 70
Then the test statistic will be given as
[tex]\rm t = \dfrac{x_1 - x_2}{\sqrt{S^2 (\dfrac{1}{n_1}+\dfrac{1}{n_1})}} \\\\\\\t = \dfrac{68.5 - 70}{\sqrt{2 (\dfrac{1}{36} + \dfrac{1}{34})}} \\\\\\t = \dfrac{-1.5}{0.337}\\\\\\t = -4.45[/tex]
The test statistic | t | = |–4.45| = 4.45
More about the test statistic link is given below.
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Solve the equation. (Find all solutions of the equation in the interval [0, 2pi). Enter your answers as a comma-separated list.)
(3 sin(2x) + 3 cos(2x))^2=9
I got
[tex]0.75 + 2\pi \times n[/tex]
[tex]5.28 + 2\pi \times n[/tex]
[tex]1 + 2\pi \times n[/tex]
5.53+2pi times n
WORK:
[tex](3 \sin(2x) + 3 \cos(2x) )) {}^{2} = 9[/tex]
[tex] \sin(2x) + \cos(2x) {}^{2} = 3[/tex]
[tex] \sin(x) + \cos(4 {x}^{2} ) = 3[/tex]
[tex]4 {x}^{2} + x = 3[/tex]
[tex]4 {x}^{2} + x - 3 = 0[/tex]
[tex](4x {}^{2} + 4x - 3x - 3 = 0[/tex]
[tex]4x(x + 1) - 3(x + 1) = 0[/tex]
[tex](4x - 3)(x + 1)[/tex]
Solve for x
[tex]4x - 3 = 0[/tex]
[tex]4x = 3[/tex]
[tex]x = \frac{3}{4} [/tex]
[tex]x + 1 = 0[/tex]
[tex]x = - 1[/tex]
While -1 is a solution, it isn't within the interval of 0,2pi.
However, we can use the reference angle identity
[tex] \cos(x) = \cos(x + 2\pi) [/tex]
So some more possible points are
[tex] - 1 + 2\pi[/tex]
Since it on a interval, it must be less than 2 pi or 6.28.
Let find some more points
[tex] - 1 + 2\pi = 5.28[/tex]
So 5.28 is a point,
[tex] \frac{3}{4} + 2\pi = 7.03[/tex]
That is too big since -6.28 is smaller than 7.03
We can use the identity
[tex] \cos(x) = \cos( - x) [/tex]
[tex] \cos( - 1) = \cos( 1 ) [/tex]
1 is smaller than 2pi so it is true.
[tex] \cos( \frac{3}{4} ) = \cos( - \frac{3}{4} ) [/tex]
Negative 3/4 is smaller than zero so it not a solution.
[tex]0.75[/tex]
[tex]5.28[/tex]
[tex] 1[/tex]
Make sure to include
[tex]2\pi \times n[/tex]
so
[tex]0.75 + 2\pi \times n[/tex]
[tex]5.28 + 2\pi \times n[/tex]
[tex]1 + 2\pi \times n[/tex]
We can also -3/4 plus 2 pi.
Which is about 6
5.53.