Answer:
9
Step-by-step explanation:
A mouse is moving through a maze and must make four turns where it can go either left or
right. The mouse will escape the maze if it makes three lefts and one right, in any order.
(a) To the right, draw a tree diagram
of all possible routes the mouse
could take.
(b) Using your tree diagram, create
an organized list of the routes. For
example, a route of right, left, left,
right could be listed as RLLR.
(C) What is the probability the mouse
escapes the maze if all turns are
randomly made?
Fill the blanks using Product formula.
Answer: (-4s-1)*(-8) + (-4)*(-8s+7)
You have the right idea, but you swapped the items in the wrong order. Meaning that you applied the derivative to the wrong pieces as shown in the order above. It seems you have to follow this specific order for the computer to accept the answer.
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
please help me i really need help please
Answer:
7: 100
8: 40
9: 74
Step-by-step explanation:
Answer:
7. x= 100 8. x= 40 and 9. x= 74
Step-by-step explanation:
x + 45 +35=180(sum of angle of triangle )
or, x+ 80=180
or, x=180-80
or, x=100
same process as above for all
pretty pls help with this questionn pls i need helpp
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.
I need help!!!! I’m stuck!!!
Answer:
66.3
Step-by-step explanation:
Ali is cutting 3/8 in. Cookie dough slices from a 10 1/2 in. long roll how many does she get
Answer:
28 slices
Step-by-step explanation:
Take the length of the roll and divide by the size of the slice
10 1/2 ÷ 3/8
Change the mixed number to an improper fraction
(10*2 +1) /2 ÷ 3/8
21/2 ÷ 3/8
Copy dot flip
21/2 * 8/3
Rewriting
21/3 * 8/2
7 * 4
28
You will get 28 slices
the population of staten island is 7.6*10^3. the population of Brooklyn is 2.3*10^5. how many people are there in Brooklyn and Staten Island?
Answer:
1
Step-by-step explanation:
1
need help with this one
Answer:
Step-by-step explanation:
B + 87 +78 +66 = 360
B = 129 °
the angle next to B then is
180 = 129 + b '
51 ° = b '
A + 61 + b ' = 180
A = 68 °
Zak buys 6 gallons of fruit punch. He has
coupons for $0.55 off the regular price of
each gallon of fruit punch. After using the
coupons, the total cost of the fruit punch is
$8.70. Determine the regular price of a
gallon of fruit punch.
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:
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
How many centimeters are in 3.2 inches? [1 inch = 2.5 cm] Show your work.
Answer:
8 cm
Step-by-step explanation:
Just multiply 3.2 by 2.5
3.2 x 2.5 = 8
Answer:
Sure, your answer is 8
Step-by-step explanation:
3.2 * 2.5=8
A line segment has endpoints at(2,4) and (6,10). What are the coordinates of the midpoint of the line segment?
Answer:
I think the midpoint is (4,7)
Step-by-step explanation:
David can type a 50-page paper in 8 hours. Last month, David and Andy together typed a
50-page paper in 6 hours. How long would Andy take to type a 50-page paper by himself?
Answer:
12.5pages
Step-by-step explanation:
50pages ×6hours=300 and then we divide by 8 to get 37.5(the number of pages printed by david in 6 hours)
subtract 37.5 from 50 to find the number of pages printed by andy
Find the average of the following numbers. -100 and 102.
The average is the sum of the numbers divided by the quantity of numbers.
-100 + 102 =2
2/2 = 1
The average is 1
Answer:
1
Step-by-step explanation:
To find average, add up all of the numbers and divide it by how many numbers there are.
[tex]\frac{-100+102}{2} = \frac{2}{2} =1[/tex]
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.
Learn more about the deposit slip here:
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PLS HELP AND HURRY
After how many hours is the price the same in both companies? Explain how you found the answer.
Step-by-step explanation: 5
Answer:
Step-by-step explanation:
Raging River costs
y=9x
Paddlers costs
y=x+40
So they cost the same when y=y
9x=x+40
8x=40
x=5
So they cost the same for 5 hours.
if x squared by 3 equal 64 what is the value of x
Answer:
4
Step-by-step explanation:
x^3= 64
x= 64^1/3
x=4
Answer:
4
Step-by-step explanation:
4x4=16
16x4= 64
Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1,3).
A)
y = -x +
16
5
B)
y = -5x - 5
16
y = 5x + 10
D)
y=-x-2
The height of a right cylinder is 6r, where r is the radius. Write a function f in simplest form that represents the ratio of the surface area to the volume.
Solve the equation in two different ways. Choose one method of solving in detail 5x+7(x+1) = 5x - 21
Answer:
METHOD 1:
5x+7(x+1)=5x-21
5x+7x+7=5x-21
12x+7=5x-21
12x-5x=-21-7
7x=-28
x=28/7
x=4
METHOD 2:
5x+7(x+1)=5x-21
5x+7(x+1)=5x-21-5x
7(x+1)=-21
7x+7=-21
7x=-28
x=4
Step-by-step explanation:
METHOD 1:
5x+7(x+1)=5x-21
5x+7x+7=5x-21
12x+7=5x-21
12x-5x=-21-7
7x=-28
x=28/7
x=4
METHOD 2:
5x+7(x+1)=5x-21
5x+7(x+1)=5x-21-5x
7(x+1)=-21
7x+7=-21
7x=-28
x=4
In ΔRST, the measure of ∠T=90°, RS = 4.9 feet, and ST = 2.7 feet. Find the measure of ∠S to the nearest tenth of a degree.
Step-by-step explanation:
step 1. a diagram is important and can be uploaded. you will get a quicker answer with a diagram
step 2. triangle RST is a right triangle so we can use trigonometry to find <S
step 3. the adjacent side of <S is ST and the hypotenuse is RS so we will use cos
step 4. cosS = adj/hyp = ST/RS = 2.7/4.9
step 5. <S = 56.6° using inverse cos.
Answer:
42.43
Step-by-step explanation:
This is because you had to divbide by 3
what is the absolute value of -5+9
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.,)
(Need help) (ASAP)
Point: 18
Answer:
10
Step-by-step explanation:
Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treatment. An experiment is conducted to compare peach-tree seedling growth when the soil and weeds are treated with one of two herbicides. In a field containing 20 seedlings, 10 are randomly selected throughout the field and assigned to receive herbicide A. The remainder of the seedlings is assigned to receive herbicide B. Soil and weeds for each seedling are treated with the appropriate herbicide, and at the end of the study period, the height in centimeters is recorded for each seedling. The following results are obtained: Herbicide A = 94.5 cm s1 = 10 cm Herbicide B = 109.1 cm s2 = 9 cmWhat is a 90% confidence interval (use the conservative value for the degrees of freedom) for μ2 – μ1?
a. 14.6 ± 7.00
b. 14.6 ± 7.38
c. 14.6 ± 7.80
d. 14.6 ± 9.62
Answer:
A. 14.6 ± 7.00
Step-by-step explanation:
Formula for the confidence interval between the two mean is;
CI = (μ2 - μ1) ± z√[((s1)²/n1) + ((s2)²/n2)]
We are given;
μ1 = 94.5
μ2 = 109.1
s1 = 10
s2 = 9
n1 = 10
n2 = 10
The z-value at confidence interval of 90% is 1.645
Thus;
CI = (109.1 - 94.5) ± 1.645√[(10²/10) + (9²/10)]
CI = 14.6 ± 7.00
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.
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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