Answer:
A . Elimination, a coefficient in Equation 1 is an integer multiple of a coefficient in Equation II.
hope it is helpful...
Can I get help with number 4?
What is really saying is solve the quadratic equation
[tex]-16t^2+64t+80=0 \\ t^2-4t-5=0 \\ (t-5)(t+1)=0 \implies t_1=5,t_2=-1 [/tex]
Hope this helps.
Use the diagram below to find x and each missing angle. Please
Answer:
x=18
<1=34
<2=56
Step-by-step explanation:
PLSSSSS HELP ME I WILL GIVE BRAINLIEST!!!!!!
Kevin answered 80% of the questions on his test correctly. if he answered 20 questions correctly. how many total questions were the test?
Answer:
There were 25 questions total on the test.
Step-by-step explanation:
Hope this helps!
The distribution of the number of hours of sleep people get per night is bell shaped with a mean of six hours in standard deviation of 1.5 hours
1. Approximately what percent of people sleep between 6 and 7.5 hours per night?
a. 16%
b. 24%
c. 34%
d. 68%
2. If Aaron had a Z score of 1.2 how many hours did he sleep?
a. 7.5 hours
b. 7.8 hours
c. 8.0 hours
d. 8.2 hours
Answer:
1. c. 34%
2. b. 7.8 hours
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Z-score:
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.
In this question:
Mean of 6 hours, standard deviation of 1.5 hours.
1. Approximately what percent of people sleep between 6 and 7.5 hours per night?
6 hours = mean
7.5 hours = 6 + 1.5 = 1 standard deviation above the mean.
Approximately 68% of the measures are within 1 standard deviation of the mean. Since the normal distribution is symmetric, 34% are between one standard deviation below the mean and the mean, and 34% are between the mean(6 hours) and 1 standard deviation above the mean(7.5 hours). So the answer is 34%, given by option c.
2. If Aaron had a Z score of 1.2 how many hours did he sleep?
We have that [tex]Z = 1.2, \mu = 6, \sigma = 1.5[/tex]. We have to find X.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.2 = \frac{X - 6}{1.5}[/tex]
[tex]X - 6 = 1.2*1.5[/tex]
[tex]X = 7.8[/tex]
So option b.
−5a – ( 6a + 3) + 8}
plz help show step by step
Answer:
11a+5
Step-by-step explanation:
-5a-6a-3+8
=11a+5
2 - 4 • -5 help me.
Answer:
22
Step-by-step explanation:
Find the area please :)))
Answer:
area would be 98.35
Step-by-step explanation:
the area is 98.35 units squared
For problems 4-9 find the circumference.
A cylinder has a height of 15 inches and a radius of 16 inches what is the volume
venice cycled for 8.45pm to 2.15am how long did she cycle for
Step-by-step explanation:
We split the duration into 2 smaller intervals.
8:45p.m. to midnight = 3 hours and 15 minMidnight to 2:15a.m. = 2 hours and 15 minHence the total duration is 5 hours and 30 min.
Suppose that J and K are points on the number line. If Jk=5 and J lies at -12 where could K be located?
k would be located at
I need help with the top 3 giving 20 points plz
Answer:
1.2.05 2.0.919 3 sf
Step-by-step explanation:
1. cos 70=x/6
6 cos 70=x
x=2.05
2.cos 45=x/1.3
1.3 cos 45=x
x=0.919
3.cant see ;-;
b) 144kg in the ratio 1 3.5
____(4 - 2) = 8
Fill in the missing factor. Please help
Identify the angles of rotational symmetry for the figure.
there can be more than one options
A stop sign casts a shadow 8 feet long, while a school bus nearby casts a shadow 12 feet long. If the stop sign is 7 feet tall, how tall is the school bus?
11 I think
(someone correct if I am wrong plz)
Answer:
10.5
Step-by-step explanation:
7 = x
8 12
8x = 84
8 8
x = 10.5
hi can you please help me with my work
Answer:
Answer is 8 and 3/4
Answer:
the answer would be 8 3/4 in
Y=-1/2x+4 1/2
3x-4y=12
Answer:
what is the question? please provide a question.
Slove for the indicated variable in the literal equation. real answers
P = -3 - 4L - 6 for L
Given:
The equation is
[tex]P=-3-4L-6[/tex]
To find:
The formula for L.
Solution:
We have,
[tex]P=-3-4L-6[/tex]
It can be written as
[tex]P=(-3-6)-4L[/tex]
[tex]P=-9-4L[/tex]
We need to isolate variable L.
Adding 6 on both sides, we get
[tex]P+6=-4L[/tex]
Dividing both sides by -4, we get
[tex]\dfrac{P+6}{-4}=L[/tex]
[tex]\dfrac{P}{-4}+\dfrac{6}{-4}=L[/tex]
[tex]-\dfrac{P}{4}-1.5=L[/tex]
Therefore, the required value of L in terms of P is [tex]L=-\dfrac{P}{4}-1.5[/tex].
Those shortlisted are entered into a final game of chance. There are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). To win, a company needs to take out two golden balls. The first ball is not replaced.
What is the probability of any company winning advertising space on their volley ball team jerseys?
as a fraction?
Answer:
6 balls in a bag. 2 golden balls.
6 C 2 (C = combination)
6C2 = 6 x 5 x 4 x 3 x 2 x 1 / 2 x 1 x 4 x 3 x 2 x 1
= 3 x 5
= 15
denominator = 15
6 balls total 2 golden balls choose 2 balls only one possibility
answer = 1/15
PLEASE HELP ME AND SHOW YOUR WORK
Which of the following probabilities is the greatest for a standard normal distribution?
O P(-1.55zs-0.5)
O P(-0.5 Sz50.5)
P(0.5 <251.5)
O P(1.5 sz<2.5)
Answer:
B
Step-by-step explanation:
On edge
The probabilities is the greatest for a standard normal distribution is
P(-0.5 ≤ z ≤ 0.5) = 0.382.
What is Normal Distribution?An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically towards either extreme. The distribution's mean is another name for the centre of the range.
From the diagram attached below, we can write
1. P( -1.55 ≤ z ≤ -0.5)
= 0.092 + 0.15
= 0.242
or, 9.2%+15%=24.2%.
2. P( -0.5 ≤ z ≤ 0.5)
= 0.191 + 0.191
= 0.382
3. P( 0.5 ≤ z ≤ 1.5)
= 0.15 + 0.092
= 0.242
4. P( 1.5 ≤ z ≤ 2.5)
= 0.044 + 0.017
= 0.061
So, the greatest value is P(-0.5 ≤ z ≤ 0.5) = 0.382
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1/2x= Please tell me the anwser
Answer i think its 0.5 i searched it and thats what it said
Step-by-step explanation:
Simone buys slices of pizza that cost $1.25 each. She spends a total of $11.25 on them. Which
equation below could be solved to find the number of slices that Simone bought?
Give me good senior quotes, best one gets brainliest! : )
Answer:
“The roof is not my son, but I will raise it.” – Anonymous
“I’m gonna go stand outside. If anyone asks, I’m outstanding.” – Taylor Bass
(your name her) was released from his/her/their 4 year sentence
Elevator ride: Engineers are designing a large elevator that will accommodate 56 people. The maximum weight the elevator can hold safely is 11,144 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 196 pounds and standard deviation 71 pounds, and the weights of adult U.S. women have mean 169 pounds and standard deviation 80 pounds. Use the TI-84 Plus calculator.
Part 1 of 3 (a) If 56 people are on the elevator, and their total weight is 11,144 pounds, what is their average weight? The average weight is pounds.X
Part 2 of 3 (b) If a random sample of 56 adult men ride the elevator, what is the probability that the maximum safe weight will be exceeded? Round the answer to at least four decimal places. The probability that the maximum safe weight will be exceeded is _______.
Part 3 of 3 (c) If a random sample of 56 adult women ride the elevator, what is the probability that the maximum safe weight will be exceeded? Round the answer to at least four decimal places. The probability that the maximum safe weight will be exceeded is________.
Answer:
a) The average weight is 199 pounds.
b) The probability that the maximum safe weight will be exceeded is 0.4840 = 48.40%.
c) The probability that the maximum safe weight will be exceeded is 0.3539 = 35.39%.
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.
(a) If 56 people are on the elevator, and their total weight is 11,144 pounds, what is their average weight?
This is 11144 divided by 56, that is 11144/56 = 199 pounds.
Their average weight is 199 pounds.
(b) If a random sample of 56 adult men ride the elevator, what is the probability that the maximum safe weight will be exceeded?
The weights of adult U.S. men have mean 196 pounds and standard deviation 71 pounds, which means that [tex]\mu = 196, \sigma = 71[/tex]
11144 pounds is an average of 199 pounds, so this probability is 1 subtracted by the pvalue of Z when X = 199.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{199 - 196}{71}[/tex]
[tex]Z = 0.04[/tex]
[tex]Z = 0.04[/tex] has a pvalue of 0.5160
1 - 0.5160 = 0.4840
The probability that the maximum safe weight will be exceeded is 0.4840 = 48.40%.
(c) If a random sample of 56 adult women ride the elevator, what is the probability that the maximum safe weight will be exceeded?
The weights of adult U.S. women have mean 169 pounds and standard deviation 80 pounds, which means that [tex]\mu = 169, \sigma = 80[/tex]
11144 pounds is an average of 199 pounds, so this probability is 1 subtracted by the pvalue of Z when X = 199.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{199 - 169}{80}[/tex]
[tex]Z = 0.375[/tex]
[tex]Z = 0.375[/tex] has a pvalue of 0.6461
1 - 0.6461 = 0.3539
The probability that the maximum safe weight will be exceeded is 0.3539 = 35.39%.
3x - 5 = 16
solution
plssssss
Answer:
x=7
Step-by-step explanation:
The solution to the equation is x = 7.
We have,
Equation:
3x - 5 = 16
Add 5 on both sides.
3x - 5 + 5 = 16 + 5
3x = 21
Divide 3 on both sides.
x = 21/3
x = 7
Thus,
The solution to the equation is x = 7.
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To pay for the trailer, the company took out a loan that requires Amazon Rafting to pay the bank a special payment of $8,700 in 5 years and also pay the bank regular payments of $4,100 each year forever. The interėst rate on the loan is 14.3 percent per year and the first $4,100 yearly payment will be paid in one year from today. What was the price of the trailer?
Answer:
The correct option is c. An amount equal to or greater than $25,000 but less than $36,000.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Amazon Rafting just bought a new trailer. To pay for the trailer, the company took out a loan that requires Amazon Rafting to pay the bank a special payment of $8,700 in 5 years and also pay the bank regular payments of $4,100 each year forever. The interest rate on the loan is 14.3 percent per year and the first $4,100 yearly payment will be paid in one year from today. What was the price of the trailer?
a. An amount less than $14,000 or an amount equal to or greater than $62,000
b. An amount equal to or greater than $14,000 but less than $25,000
c. An amount equal to or greater than $25,000 but less than $36,000
d. An amount equal to or greater than $36,000 but less than $49,000
e. An amount equal to or greater than $49,000 but less than $62,000
The explanation of the answer is now provided as follows:
The price of the trailer can be calculated using the following formula:
Price of the trailer = (Special payment in 5 years / (1 + r)^n) + (Annual regular payment forever / r) .................... (1)
Where:
Special payment in 5 years = $8,700
r = Interest rate = 14.3% or 0.143
n = number of years = 5
Annual regular payment forever = $4,100
Substituting the values into equation (1), we have:
Price of the trailer = ($8,700 / (1 + 0.143)^5) + ($4,100 / 0.143)
Price of the trailer = ($8,700 / 1.95088267511394) + $28,671.33
Price of the trailer = $4,459.52 + $28,671.33
Price of the trailer = $33,130.85
Since the calculated price of the trailer is $33,130.85, the correct option is c. An amount equal to or greater than $25,000 but less than $36,000.
4 divided by 3.2 show work
To divide 4 by 3.2, we can use long division.
Here's the step-by-step process:
1.25
___________
3.2 | 4.00
3.2 (subtract 3.2 from 4.00)
_______
8
6.4 (bring down the 0)
_______
16
16 (subtract 16 from 16, no remainder)
_______
0
Therefore, 4 divided by 3.2 is equal to 1.25.
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