Answer:
50
Step-by-step explanation:
Let's say the smaller number is x then
x + x + 2 = 98
2x+2 = 98
2x = 96
x = 48
==> 48, 50
The sum of two consecutive even integers is 98 has 50 as larger number.
Given that the sum of two consecutive even integers is 98, we need to find the larger number,
Let's denote the two consecutive even integers as x and x + 2. According to the given information, their sum is 98.
So we can write the equation:
x + (x + 2) = 98
Simplifying the equation:
2x + 2 = 98
Subtracting 2 from both sides:
2x = 96
Dividing both sides by 2:
x = 48
Therefore, the larger number (x + 2) is:
48 + 2 = 50
So, the larger number is 50.
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Y=-1/2x+4 1/2
3x-4y=12
Answer:
what is the question? please provide a question.
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!
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
Find the area please :)))
Answer:
area would be 98.35
Step-by-step explanation:
the area is 98.35 units squared
−5a – ( 6a + 3) + 8}
plz help show step by step
Answer:
11a+5
Step-by-step explanation:
-5a-6a-3+8
=11a+5
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?
Identify the angles of rotational symmetry for the figure.
there can be more than one options
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].
Write the phrase as an expression.
the product of 3 and 12
An expression is
Step-by-step explanation:
Product of 3 and 12 means 3 multiplied by 12
which is equal to 12*3
Hope it helps!
Answer:12+3 or 3 + 12
Step-by-step explanation:in math and means adition so
12 and 3 as an expression would be 12 +3
PLEASE HELP ME AND SHOW YOUR WORK
____(4 - 2) = 8
Fill in the missing factor. Please help
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
PLSSSSS HELP ME I WILL GIVE BRAINLIEST!!!!!!
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:
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.
b) 144kg in the ratio 1 3.5
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%.
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.
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
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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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
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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For problems 4-9 find the circumference.
(9, 19) (2, 16)
Write the coordinates as decimals or integers.
Answer:
In decimal 0.428571428
Step-by-step explanation:
The slope = (y2 - y1)/(x2 - x1) y2 = 16, y1 = 19x2=2 and x1=9
The slope = (16 - 19)/(2 -9)
The slope = (-3)/(-7)
The slope = 0.428571428
So in decimal form the coordinates are going to be written as 0.428571428
Slope is the steepness of a line, it is the difference between the y coordinates divided by the difference in x coordinates.
Which of the following decimals is equivalent to three and ten hundredths
Answer: 3.1 or 3.10
Step-by-step explanation:
3 and 10 hundredths = 3 + 10/100 = 3 + 0.10
3.10 / 3.1
A cylinder has a height of 15 inches and a radius of 16 inches what is the volume
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.
help please ! if false can you explain or show why
Answer:
False
Step-by-step explanation:
The sum of angles of a parallelogram is equal to 180°. So,
8x+3y+2x+(7x+18)=180
or
17x+3y = 180-18
17x+3y = 162
Put x = 44 and y = 18 in the above expression.
So,
17(44)+3(18) = 748+54
= 802
≠ 162
Hence, the given statement is false.
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
Shen started cleaning at 11:51 AM.
He finished at 1:29 PM.
How long did he clean?
hour(s) and minute(s)
Answer: 1 hour 38 minutes
Step-by-step explanation:
From 11:51 AM to 12:00 PM (noon)
9 minutes
from 12:00 PM to 1:00 PM
1 hour
1:00 PM to 1:29 PM
29 minutes
______________________________
9 minutes + 1 hour + 29 minutes
1 hour 38 minutes
