Answer:
(4,2.5)
Step-by-step explanation:
On a class trip to the aquarium, there is 1 adult for every 7 students. If 44 students go on the field trip, how many adults are going on the field trip?
Answer:
There would be at least 6 adults
Step-by-step explanation:
7 students-1 adult
7 students-1 adult
7 students-1 adult
7 students-1 adult
7 students-1 adult
7 students-1 adult
2 students-0 adults
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 4959 miles, with a standard deviation of 448.If he is correct, what is the probability that the mean of a sample of 43 cars would differ from the population mean by less than111 miles? Round your answer to four decimal places.
Answer:
0.8958
Step-by-step explanation:
Given that:
The mean [tex]\mu[/tex] = 4959
The standard deviation [tex]\sigma[/tex] = 448
The sample size n = 43
[tex]\mu_{\overline x} = \mu = 4959[/tex]
[tex]\sigma __{\overline x}} = \dfrac{\sigma}{\sqrt{n}}= \dfrac{448}{\sqrt{43}}[/tex]
By applying the central limit theorem;
[tex]\overline X \sim N \bigg( \mu_{\overline x} = 4959 , \sigma_{\overline x} = \dfrac{448}{\sqrt{43}}\bigg )[/tex]
The purpose of this question is to calculate the probability that the mean of a sample of 43 cars would differ from the population mean by less than111 miles.
This implies that;
[tex]P( |\mu-\overline x| <111) = p( 4959-111 < \overline X < 4959 +111)[/tex]
[tex]= P( 4848 < \overline X < 5070)[/tex]
[tex]= P \bigg ( \dfrac{ \overline x - \mu_x }{ \dfrac{\sigma}{\sqrt{n}}} < Z < \dfrac{ \overline x - \mu_x }{ \dfrac{\sigma}{\sqrt{n}}} \bigg )[/tex]
[tex]= P \bigg ( \dfrac{4848 -4959 }{ \dfrac{448}{\sqrt{43}}} < Z < \dfrac{5070 -4959 }{ \dfrac{448}{\sqrt{43}}} \bigg )[/tex]
[tex]= P \bigg ( \dfrac{-111 }{ 68.319} < Z < \dfrac{111 }{68.319} \bigg )[/tex]
[tex]= P ( -1.6247< Z < 1.6247 )[/tex]
= P ( Z < 1.627 ) - P(Z < -1.627)
From the standard normal tables
= 0.94791 -0.05208
= 0.89583
≅ 0.8958 to four decimal places.
PLEASE HELP ME IM MARKING ANSWER BRAINLIEST RIGHT NOW!!Mr. Youngbear buys T-shirts in boxes
of 20 for $80 per box. He sells the
T-shirts for $6 each. How much profit
has he made after selling 93 T-shirts?
Step-by-step explanation:
1. Ok so first we need to figure out how many boxes of shirts he bought. In each box there are 20 shirts and he sold 93. So if we round it, he bought about 100 T-shirts. 100 ÷ 20 = 5. So he bought 5 boxes of shirts.
2. Next we need to figure out how much he spent on the shirts. 5*80=400. So he spent $400 dollars on the shirts.
3. We need to find out the amount of money he made from selling the shirts. 6*93=558
4. We need to find the profit so you subtract the total expenses from the total revenue. 558-400= 158. So the profit is $158
Answer: Mr. Youngbear made 158 dollars worth of profit after selling 93 T-shirts.
(I dont know if this is correct, but I hope I was able to help!)
how to find the sale price of an item that has been discounted 25%
Answer:
Multiply the normal price of the item by .25 and then subtract that from the normal price.
Step-by-step explanation
[tex]x -(x*.25)[/tex]
x is the item
Step-by-step explanation:
100%-25%= discounted price= 75%
You do the discounted price divided by 75 to find 1%
do that times 100 to find the pre-discounted price.
e.g
find the original price of a sweater when it was on sale of 25%. the sale price is £15.00.
£15.00 = 75%
15.00 divided by 75 = 1% =£0.20
£0.20 x 100 = pre-sale price = £20.00
The price of the sweater before the sale is £20.00.
You are welcome xx
1
How many – cup servings of ice cream are in 3 cups of ice cream?
4
Answer:
well.......................................3 cups are in a cup serving
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
PLEASE HELP ME ASAP
i’ll give you brainliest if it’s correct please help me :(
TWO PART QUESTION
Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equation h= -16(t-1/4)^2+49, where T is the time (in seconds) after he throws the marshmallow. What is the maximum height of the marshmallow?
SECOND PART
Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equation h= -16(t-1/4)^2+49, where T is the time (in seconds) after he throws the marshmallow. How long after Emilio throws the marshmallow does it reach its maximum height?
Answer:
part 1 = 49
part 2 = .25 seconds
Step-by-step explanation:
hope that can help!
Round 859, 344 to the nearest thousand.
Answer: 860,000
Step-by-step explanation:
Since the nearest thousand is mostly higher then most of the numbers in the number line, we know that 9 is greater. It's close to 60,000 if we remove the 8. Therefore, the answer is 860.000
2/5 divided by 2 1/10
Answer:
4/21
Step-by-step explanation:
first you need to make them both fractions, not mixed numbers. so it would be 2/5 divided by 21/10. then you flip the second number so you can multiply it : 2/5 * 10/21. 5 and 10 are divisible by 5 so you can cross 5 out and make a 1 and cross 10 out and make a 2: 2/1 * 2/21. then multiply and you get 4/21!
hope this helps!
1 +1 = ???????????????????????????
Answer:
IT 2
Step-by-step explanation:
The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 520 hours. Find the probability of a bulb lasting for at most 576 hours. Round your answer to four decimal places.
Answer:
0.969
Step-by-step explanation:
Given that:
Mean lifetime (m) = 520 hours
Variance = 900
Hence, standard deviation (s) = √900 = 30
Probability that bulb will last for at most 576 hours
X ≤ 576
Obtain the standardized score :
Using the relation :
Zscore = (x - m) / s
Zscore = (576 - 520) / 30
Zscore = 56 / 30
Zscore = 1.867
P(Z ≤ 1.867) : using the z probability calculator ;
P(Z ≤ 1.867) = 0.96905
Hence, P(Z ≤ 1.867) = 0.969
Which expression is equivalent to 28/19/100
Answer:
Brainly doesn’t help people
Step-by-step explanation:
Khan Acadmey or Google helps! Trust me this doesn’t help
An artist mixes colors for a painting. She mixes 1.5 ounces of blue with 2.5 ounces of yellow to get the perfect shade of green. If she determines that she will need 12 ounces of green, how much yellow paint will she need?
Answer:
4.5 ounces of yellow and 7.5 ounces of blue will create 12 ounces of the perfect shade of green.
Step-by-step explanation:
1.5 + 2.5 = 4 ounces.
Multiply by 3
4.5 + 7.5 = 12 ounces
So, she needs 4.5 ounces of yellow.
Which equation can you use to solve 150% of 500?
Answer:
150×500=30, i got you man
what is 1/2 times 5/4?
Answer:
1 x 5 = 5
2 x 4 = 8
5/8 is the answer.
Answer:
5/8 or 0.625
Step-by-step explanation:
1/2 * 5/4
= 5*1/4*2
=5/8
The sum of two numbers is 58. The difference between the same two numbers is 6. Find the two numbers, and then find the PRODUCT of the two numbers.
Answer:
26 and 32 are the two numbers, the product is 832
A water hose at a fire station leaked 120 gallons of
water. Water leaked at a rate of 15 gallons every 4
minutes. At this rate, how many minutes did it take
all 120 gallons of water to leak from the water
hose?
sum1 help ASAP
Answer:
Step-by-step explanation:
This is a proportion question
15 gallons / 4 minutes = 120 / x Cross multiply
15x = 4 * 120 Combine the right
15x = 480 Divide by 15
x = 480/15
x = 32 minutes
Who voted on red 。 • ゚ 。 .
. . 。 。 .
. 。 ඞ 。 . • •
゚ Red was not An Impostor. 。 .
' 1 Impostor remains 。
゚ . . , . .
Answer:
i used to play that
Step-by-step explanation:
To begin solving this system of linear equations by elimination , you can add the equations . x + 4y = 38 5x - 4y = -30 8x = 8 This step works because of the distributive property B. multiplication property of equality C. commutative property D. addition property of equality
Answer: D. Addition property of equality
Step-by-step explanation:
what is the initial value of the exponential function shown on the graph? a. 0, b. 1, c. 2, d. 4
Answer:
D
Step-by-step explanation:
4 is the initial value of the exponential function shown on the graph.
Have a great day
HELP PLEASE!!!!
Describe two ways to find the distance between
two points on a Coordinate Plane.
Lee has 3 dog walking customers. Each month he gains another customer. Which arithmetic sequence represents the number of customers he has?
Group of answer choices
a1 = 3; an = an-1 + 1
a1 = 1; an = an-1 + 3
a1 = 1; an = an+1 + 3
a1 = 3; an = an+1 + 1
Given:
Lee has 3 dog walking customers.
Each month he gains another customer.
To find:
The arithmetic sequence that represents the number of customers he has.
Solution:
Initial number of customers = 3
First term : [tex]a_1=3[/tex]
Each month he gains another customer.
Common difference : [tex]d=1[/tex]
Recursive formula of an AP is
[tex]a_n=a_{n-1}+d[/tex]
where, d is common difference.
Substituting d=1, we get
[tex]a_n=a_{n-1}+1[/tex]
So, the required arithmetic sequence is [tex]a_n=a_{n-1}+1[/tex], where [tex]a_1=3[/tex].
Therefore, the correct option is A.
negative six plus a number
is less than or equal to fifteen
Answer:
-6+x≤15
negative six: -6
plus: +
a number: variable (I chose x)
Less than or equal to: ≤ (an inequality)
fifteen: 15
Answer:
-6 + n ≤ 15
or
n ≤ 21
Step-by-step explanation:
negative six is -6
plus a number would be a variable (I will use n) + n
is less than or equal to would be ≤
fifteen is 15
-6 + n ≤ 15
If you want to solve it, continue
-6 + n ≤ 15
+6 +6
n ≤ 21
I hope that this helps! :)
A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 1/35 of gas to go 1 mile. How much gas dose the car use to 100 miles? Show your reasoning.
Answer:
um......I think 2 figure it out....
Step-by-step explanation:
A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 1/35 of gas to go 1 mile.
Solve for s.
8 - 4s = s + 13
Answer:
s= -1
Step-by-step explanation:
N+ 5/16=-1
:)))) ASAP
Answer:
Step-by-step explanation:
16N+5=-16 (multiply by 16)
16N=-21 (subtract 5)
N=-21/16 (divide by 16)
Please mark brainliest Hope this helps :D
4(2x−9)=4 solve for x
Answer: x=5
Step-by-step explanation:
Distribute the 4 to the 2 and 9 and you will get (8x-36)=4.
Then you'd add the 36 to 4 to get 40.
Lastly you'd divide 8 and 40 to get 5. Hope this helps!!!
Louisa used Downtown Taxi, which charges $2 for the first mile and $1.10 for each additional mile. Pietro used Uptown Cab, which charges $5 for the first mile and $0.95 for each additional mile. They paid the same amount and traveled the same distance. How far did they travel?
Answer: 21 miles
Step-by-step explanation:
n/4 + 1 =5 how do I solve this and show my work
Answer:
n=16
Step-by-step explanation:
n/4 + 1 = 5
inverse operations, (subtract the one from both sides)
n/4 = 4
inverse operations, multiply by 4 on both sides, (you're isolating the variable)
n = 16
Alonso multiplied the fractions 312and (−414) and got a product of −1218. Describe the mistake that Alonso made. What is the correct product?
CAUTION: I NEED HELP!!!!!!
I NEED HELP ASAP!!! PLEASE REPLY!!
Answer:
Both are correct
Step-by-step explanation:
Answer: both are correct
Step-by-step explanation:
Both are correct
you can use either way to solve it.