Answer:
b) 0.0042495
c) 0.048021
Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c
Step-by-step explanation:
mean of 7.5 ounces and a standard deviation of 1.33 ounce
When random number of samples are given, we solve using z score with the formula
= z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
n is the random number of samples
(a) One customer comes to this grocery store and randomly picks 25 apples. What is the mean and standard deviation of the distribution of the mean weight for 25 apples?
(b) What is the probability that the mean weight of 25 apples exceeds 8.2 ounces?
x > 8.2 ounces
= z = (x - μ)/σ/√n
z = (8.2 - 7.5)/1.33/√25
z = (8.2 - 7.5)/1.33/5
z = 2.63158
Probability value from Z-Table:
P(x<8.2) = 0.99575
P(x>8.2) = 1 - P(x<8.2) = 0.0042495
(c) Another customer randomly picks 10 apples. Will the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer be higher than the last customer in part b?
For n= 10
x > 8.2 ounces
= z = (x - μ)/σ/√n
z = (8.2 - 7.5)/1.33/√10
z = 1.66436
Probability value from Z-Table:
P(x<8.2) = 0.95198
P(x>8.2) = 1 - P(x<8.2) = 0.048021
Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c
Find in slope standard form 3х – 5y = 10
Answer:-5y=-3x+10
Divide all by -5
Y= 3/5x+10/-5
Negative divide by negative is positive--3/-5= 3/5
Slope is 3/5 y intercept is -2
Step-by-step explanation:
Name the theorem or postulate that lets you immediately conclude ∆ABD ≈ ∆CBD.
A. None of these
B.AAS
C.ASA
D.SAS
Answer:
The correct answer is B. AAS
Step-by-step explanation:
I took the test
hope this helps :)
SAS postulate is used to conclude that ∆ABD ≈ ∆CBD. Option D is correct.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
In the given triangle there are ACD, DB is the perpendicular bisector.
We need to prove ∆ABD ≈ ∆CBD.
In ∆ABD and ∆CBD
AB is congruent to BC by given diagram.
∠ABD ≅ ∠CBD both are 90 degrees.
BD ≅ BD both having common side.
∆ABD ≈ ∆CBD.
By SAS postulate.
Hence, the SAS postulate is used to conclude that ∆ABD ≈ ∆CBD.
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The graph shown below represents the relationship between the number of cookies and the cost of the cookies that a bakery sells. What is the unit rate and what does it represent? Y 13 12 10 9 ME Cost ($) B 12 14.06L 8 10 12 14 16 18 20 22 24
Answer:
[tex]Rate = \$0.5[/tex] per cookie
Every cookie is sold at $0.5
Step-by-step explanation:
See attachment for complete question
Required
Determine the unit rate
To solve this, we simply take any corresponding values of Cost of cookies and number of cookies
When
Cost = $2
Number = 4
[tex]Rate = Cost/Number[/tex]
[tex]Rate = \$2/4[/tex]
[tex]Rate = \$0.5[/tex] per cookie
Pick another corresponding values
When
Cost = $6
Number = 12
[tex]Rate = Cost/Number[/tex]
[tex]Rate = \$6/12[/tex]
[tex]Rate = \$0.5[/tex] per cookie
Hence, the unit rate is $0.5 per cookie
What it represents is that: Every cookie is sold at $0.5
Ebony's bank balance first reached $400 on Day 4. The last day her balance was $400 was Day 8. Look at the picture. Brainliest Answer. Only answer if your 100% sure .
Answer:
It stays true because it stays the same amount so B would be the correct answer.
Step-by-step explanation:
plz help me I dont want to fail
Answer:
ksjnfkjabfjkbfkjbdkjfbjdbjbdsjvbsdhbcjhdbvhsdjv
Step-by-step explanation:
sorry I really need points-
Element X decays radioactively with a half life of 9 minutes. If there are 610grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 124 grams?
y = a(.5) t/h
A half-life of 9 minutes corresponds to a decay factor k such that
[tex]\dfrac12=e^{9k}\implies k=-\dfrac19\ln\left(\dfrac12\right)[/tex]
Then the time it takes for the substance to decay from 610 g to 124 g is time t such that
[tex]124\,\mathrm g=(610\,\mathrm g)e^{kt}[/tex]
Solve for t :
[tex]\dfrac{62}{305}=e^{kt}[/tex]
[tex]\ln\left(\dfrac{62}{305}\right)=kt[/tex]
[tex]t=\dfrac1k\ln\left(\dfrac{62}{305}\right)\approx20.686[/tex]
so it takes about 20.7 min for the 610 g sample to decay down to 124 g.
What is the equation of the line that passes through the point (-5,-7)and has a slope of 2/5
Answer:
6.33333 is the answer <3
1. Adjacent angles are two angles in the same plane with a common
and a common
but no common interior points.
Answer:
Adjacent angles are two angles in the same plane with a common VERTEX and a common SIDE but no common interior points.
Step-by-step explanation:
Adjacent angles share a common side on the same vertes, but they do not overlap each other.
In the attached image, ∠ABD is adjacent to ∠DBC, but ∠ABC is not adjacent to any of them.
3x+4y=2, find 27x•81v
Selena bought a TV for her bedroom. The original price was $299.99, but she bought it on sale for 30% off. Selena also paid 15% tax. How much money did she spend on the TV?
Brainliest...don’t need an explanation
Answer:
8
Step-by-step explanation:
What number can be replaced with K to make
this a function?
(-5,8) (4,9) (K, 9) (9,9)
A)-5
B)4
C)-9
D)9
HELP FAST !!!
Find the solution of the system of equations.
-8x + 7y = -2
- 8x + 8y = 8
-56x + 49y= -14
- 56x + 56y=64
105y=50
y=0.48
-8x+7(0.48)=-2
-8x+3.36=-2
-8x=-5.36
x=0.67
Answer:
(x, y) = (9, 10)
Step-by-step explanation:
-8x + 7y = -2...... (1)
- 8x + 8y = 8......(2)
Multiplying on both sides of the equations (1) & (2) by 8 and 7 respectively, we find:
-64x + 56y = - 16...(3)
-56x + 56y = 56.....(4)
Subtracting equation (4) from equation (3), we find:
-64x + 56y = - 16
-56x + 56y = 56
+ - -
_____________
- 8x = - 72
x = - 72/-8
x = 9
Substituting x = 9 in equation (1), we find:
-8(9) +7y = - 2
-72 +7y = - 2
7y = 72 - 2
7y = 70
y = 70/7
y = 10
(x, y) = (9, 10)
You earned a 90% on a science test. You answered 18 questions
correctly. How many questions were on the test?
Answer:
20 questions
Step-by-step explanation:
10 divided by 20 is 0.9 which would be 90%
Write the slope-intercept from of the equation of the line described. Through (-2, -1) perpendicular to y = 1/4x
Step-by-step explanation:
Slope Intercept Form is "y = mx + b"
What it means?
"m" - slope
"b" - y intercept (0,b)
So, we are given the slope, but not the y intercept..
For now, lets fill in the slope.
y = 1/4x + b
We are given a coordinate pair (-2,-1)
Fill it into the equation and solve for b.
-1 = 0.25(-2) + b
-1 = -0.50 + b
- 0.50 = b
We now have the value of "B"
Fill in the rest of the equation:
y = 1/4x + -.50
^ I think that is correct, sorry if it's wrong.
find the rate of change (2,15.50) (4,31.00)
Answer:
The answer is 7.25
Step-by-step explanation:
I suggest you search for, "khan academy slope."
Hope this helps :)
find the missing side lengths. leave ur answers as radicals
Answer:
m = 34 ; n = 17√3
Step-by-step explanation:
m = 17 × 2 = 34
n² = 34² - 17² = 867 = 17² × 3 ⇒ n = 17√3
2.Larry's car travels 230 miles on 10 gallons of fuel. What is the ratio of miles to
gallons for Larry's car?
A 10 Miles to 1 Gallon
B 10 Gallons to 1 Mile
<
23 Miles to 1 Gallon
D 23 Gallons to 1 Mile
Answer:
D
Step-by-step explanation:
If he travels 230 miles on 10gallons of fuel, then he will travel 23 miles on 1 gallon of fuel. So it is 230 gallons to one mile.
Find the difference
5/5 - 2/10
Answer:
0.8
Step-by-step explanation:
Answer:
8/10
Step-by-step explanation:
5/5 is equivalent to 1 whole or one.
So all your suppose to do is 1 minus 2/10 which is 8/10.
Hope that helps
↖(^ω^)↗
Austin made 5 quarts of his special from-scratch cupcake mix. He was able to make 32 identical cupcakes using 3.5 quarts of his special mix. Austin would like to bake 20 more identical cupcakes to ice each cupcake in the likeness of a playing-card. Does he have enough left to create 20 additional cupcakes? Explain.
9514 1404 393
Answer:
no
Step-by-step explanation:
We can write a proportion to find how much mix is required to make 52 cupcakes.
quarts/cupcakes = 3.5/32 = x/52
Multiplying by 52, we find ...
x = 52(3.5/32) = 5.6875 . . . quarts needed for 52 cupcakes
This is more mix than Austin made. He does not have enough left for 20 more cupcakes.
help please! will mark brainliest!
Answer:
Hello! I'll help, but where is the question?
Step-by-step explanation:
Answer:
what do you need help with?????
Is m || n? Which theorem (which tool) did you use to decide?
Answer:
Yes. m is parallel to n. Since the 2 angles labelled are equal, by alternate angles rule, m is parallel to n.
Step-by-step explanation:
This is a question on angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Answer:
yes
Step-by-step explanation:
Yes m is parallel to n because the alternate interior angles are equal .
What is the slope of the line that contains these points?
Answer:
-5/4
Step-by-step explanation:
Slope = (y2-y1)/(x2-x1)
Slope = (5-10)/(49-45)
Find the opposite of each integer 0
Answer:
Thats not a full question.
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
Plz I need this ASAP
Answer:
12
Step-by-step explanation:
1/3( 4×3)+8
1/3(12)+8
4+8
12
Answer:
b
Step-by-step explanation:
Also, what does the phrase "how much for 1" mean?
Answer:
It means your asking how much one of one type of thing is
Step-by-step explanation:
Which equations represent the line that is parallel to 3x – 4y = 7 and passes through the point (-4,-2)? Select two
options.
1.y=-3/4x + 1
2.3x – 4y = -4
3.4x – 3y = -3
4.y-2=-3/4(x-4)
5.y+2 =3/4 (x+4)
Hellllp ASAP no rocky :)
Answer:
y = 3/4x + 1 and 3x - 4y= -4
Step-by-step explanation:
I dont feel like explaining but just trust me bro
The Equation of parallel line is y= 3/7 x - 2/7.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
We have equation 3x – 4y = 7 and passes through (-4, -2).
Writing the given equation in slope intercept form as
3x = 7 +4y
4y = 3x- 7
y= 3/7 x - 4/7
so, the slope of parallel line is 3/7.
and, passes through (-4, -2).
y= 3/7 x +b
-2 = 3/7(-4) +b
-2 = -12 /7 + b
b = -2/7
So, the Equation of line is y= 3/7 x - 2/7.
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Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?
Answer:
20
Step-by-step explanation:
Stephanie ate 12 of the 40 chips in a bag. What percentage of the chips did Stephanie eat?
Answer:
30%
Step-by-step explanation:
Answer:30%
Step-by-step explanation:
In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%).
In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 27% with a margin of error of 1.9%. Describe the conclusion about p using an absolute value inequality.
The answer field below uses the symbolic entry option in Mobius. That lets you type in a vertical bar | to represent absolute values. Also, when you type in and then =, the symbolic entry option will automatically convert that to ≥.
Be sure to use decimal numbers in your answer (such as using 0.40 for 40%).
Answer:
|0.251 < p < 0.289|
Step-by-step explanation:
Given that:
The proportion of people who like dark chocolate than milk chocolate in a made up poll is 27%
Margin of Error = 1.9%
The conclusion about the proportion p using absolute value inequality ;
Interval :
P ± margin of error
27% ± 1.9%
(27 - 1.9)% ; (27 + 1.9)%
25.1% ; 28.9%
0.251 ; 0.289
Hence,
|0.251 < p < 0.289|