Answer:
510
Step-by-step explanation:
Sally bank account had a beginning balance of 230
She made two deposits of 50 and 420
50+420
= 470
She made a withdrawal of 190
Therefore her balance at the end of the month can be calculated as follows
470+230
= 700
= 700-190
= 510
Hence the balance at the end of the month is 510
The times that a cashier spends processing individual customers' orders are independent random variables with mean 4.5 minutes and standard deviation 4 minutes. Find the number of customers n such that the probability that the orders of all n customers can be processed in less than 2 hours, is approximately 0.1. (Round your answer to the nearest integer.)
Answer:
n is approximately 29 customers
Step-by-step explanation:
The given parameters are;
The mean duration of an order, μ = 4.5 minutes
The standard deviation, σ = 4
2 hours = 120 minutes
We get;
The z-score when the probability, P = 0.1 is P(z < 0.53983)
We have;
[tex]z = \dfrac{\dfrac{ \sum X_i}{n} - \mu_{\overline x}}{\dfrac{\sigma}{\sqrt{n} } }[/tex]
Therefore, we get;
[tex]z = \dfrac{\dfrac{120}{n} - 4.5}{\dfrac{4}{\sqrt{n} } } = 0.53983[/tex]
[tex]\dfrac{4}{\sqrt{n} } \times 0.53983 = \dfrac{120}{{n} } -4.5[/tex]
With the aid of a graphing calculator, we get;
81·n²-4320·n + 57600 - 18.6506514278·n = 0
Factorizing gives;
(n - 24.3011921023)·(n - 29.2623961869)·81124141329 = 0
Therefore;
n ≈ 24 or n ≈ 29
Therefore, we take the largest number, n ≈ 29, to make the sample approximately normal
Hans is performing an experiment examining how salt affects the speed at which water freezes. He fills four equally sized containers with the same amounts of water. Then, in three of the containers, he stirs in varying amounts of salt. The fourth container remains plain water.
Hans places all four of the containers in the same freezer and checks the containers every five minutes, recording when the water in each container freezes solid.
In this situation, what do Hans’s time measurements represent?
A.
the response variable
B.
the control group
C.
the response group
D.
the explanatory variable
Answer:
Answer B.
Because we know He's checking the experiment every 5 minutes.
PLZ HELP THIS IS DUE TODAY AND PLZ NO LINKS.
Answer:
a - they should be large and sturdy
Step-by-step explanation:
The article states that artificial reefs can be made from materials such as concrete, or large pieces of waste such as subway cars, takes, and aircraft carriers. All of these items are large and sturdy.
Hope this helps, have a wonderful day :))
Need help asap
dadadadadadadadasdasdasd
Answer: -3/5
Step-by-step explanation: -3^3 is 27 and 5^3 is 125. So when you find the cube root of this equation you just simplify it to that.
what solid can be folded from the net?
Answer:
I think it is triangular prisim
Answer:
Triangular prism
Step-by-step explanation:
Your grocery store bill was $34.97. You paid with a $50 bill. How much money do you have left?
Answer:
$15.03
Step-by-step explanation:
50.00
- 34.97
_______
15.03
Answer:
The answer is $15.03.
Step-by-step explanation:
Just subtract.
78% of all laboratory mice can make it through a maze. If 600 randomly selected mice attempt the maze. Write out the formula to calculate the confidence interval
Simplify 4 − 2(3 − ) + 5
Can someone help pls
Answer:
[tex] \frac{ - 1}{2} [/tex]
Why is c speed of light in albert einseins eqation e=mc squared
Answer:
[tex]{\huge\pink{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]
The speed of light (c) is considered a fundamental constant of nature. In the famous relativity equation, E = mc², the speed of light (c) serves as a constant of proportionality, linking the formerly disparate concepts of mass (m) and energy (E).
A pitcher of iced tea holds 128 ounces. A large orange cooler holds 1792 ounces of iced tea. How many pitchers of iced tea will it take to fill the large orange cooler? * NO LINKS PLZZ!!!
A.12
B.24
C.14
D.18
The big orange cooler will hold 14 pitchers of iced tea. The response is C.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Since a pitcher of iced tea holds 128 ounces, we can find the number of pitchers required to fill the large orange cooler by dividing the total volume of the cooler by the volume of one pitcher:
1792 / 128 = 14
Therefore, it will take 14 pitchers of iced tea to fill the large orange cooler. The answer is C.
Learn more about ratios here:
https://brainly.com/question/13419413
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A crowd-sourced review platform believes that more and more customers are writing reviews online. The crowd-sourced review platform would like to test the claim that the percent of customers who leave a review online is greater than 72%. They decide to complete a hypothesis test at a 1% significance level. They sample 30 customers, and determine the sample percent to be 90%. The following is the data from this study: Sample size =30 customers Sample proportion =0.90 Identify the null and alternative hypothesis for this study by filling in the blanks with the correct symbol (=,≠,<, or > to represent the correct hypothesis.)
Answer:
H0 : P = 0.72
H1 : P > 0.72
Step-by-step explanation:
Claim is to test that percentage of customers who leave a review is greater than 72%
From the information given :
P0 = 72/100 = 0.72
The null hypothesis, H0 : P = 0.72
Alternative hypothesis claims the proportion is greater than 0.72 and from the sampling result obtained, phat = 0.90
Hence,
Alternative hypothesis, H1 : P > 0.72
Given that 2x + 3 > 9, the range of values of x is
Answer:
x>3
Step-by-step explanation:
2x+3>9
2x>6
x>3
So all values of x must be greater than 3 in order for the inequality to be true.
PLEASE HELPPP!!!!!!!!
Answer:
A
Step-by-step explanation:
If you get that right, follow Sammy Revv on Spotify please
PLEASE HELP WITH MY MOST RECENT QUESTION I NEED IT ILL GIVE BRAINLIEST PLEASE HELP
Answer:
sure
Step-by-step explanation:
but you gotta post the question...
Enter the appropriate value to answer the question or solve the problem.
What is the value of x in the triangle below?
65°
to
75°
Answer:
x = 40 degrees
Step-by-step explanation:
Triangle angle sum is 180 so 180 = 65 + 75 + x.
180 = 65 + 75 + x
180 = 140 + x
40 = x
The staff commute to work in different ways 2/5 drive, 4/15 catch the bus and 1/3 cycle
order the fractions starting with the largest
Answer:
2/5, 1/3 4/15
Step-by-step explanation:
3x2/5=6/15
5x1/3=5/15
4/15
Correct order:
2/5; 1/3; 4/15
I REALLY NEED HELP with this statistics question, it would mean a lot if someone could answer it, i will give you brainliest for the correct answer :)
Answer:
Best anwser to use is Mode. Where you have the most
Step-by-step explanation:
I’m confused on questions 2 3 and 4
Answer:
x = 20
Step-by-step explanation:
60 = x+40
subtract 40 from both sides and you get
20 = x
so x = 20
13. Pls help thank you
No work necessary
A, B, C, or, D ?
Answer: C
Step-by-step explanation:
What is the domain? Is it (-4,3)
Yes I think you are correct. The domain appears to be the set of x values such that -4 < x < 3 meaning that x is between -4 and 3, excluding each endpoint. In interval notation, that translates to (-4, 3). This of course assumes that we have two vertical asymptotes bookending the left and right sides of the curve, and these vertical asymptotes are at x = -4 and x = 3. If the curve extends beyond these boundaries, then the domain would instead be the set of all real numbers.
Can you help me with this please??
Answer:
.8
Step-by-step explanation:
.8 is the largest
You deposited 750 in an account that pays 5% interest compounded quarterly. How many years do you have two wait until it becomes at least ten times as much? Round answer to the nearest whole year.
A. 47
B. 46
C. 45
D. 48
Please someone help me i need this to pass!
Answer:
Step-by-step explanation:
subtrct 2 from every x co-ordinate and add 7 to every y co-ordinate.
Solve this system of equations using the substitution method y=5x+4 x+12=y
Answer:
(2,14)
Step-by-step explanation:
Since y=5x+4, you can plug that into the other y in the other equation which would give you x+12=5x+4
Now subtract 12 from both sides
x=5x-8
Subtract 5x from both sides
-4x=-8
Now you divide them both by -4 which gives you x=2
Now plug x in to any of the equations
y=5(2)+4
y=10+4
y=14
Your final answer is (2,14)
The volume of a sphere is 113.04 cubic feet. Find the radius. Use 3.14 for pi.
Helppppppp pls
There are only five possible shapes for a die, if the die is to be considered fair. A fair die means each face has the same shape and the same possibility of appearing on every roll. The five possible shapes are
Tetrahedron: Cube: Octahedron: Dodecahedron: Icosahedron:
If you had five dice, each die being one of the five shapes above with each side containing a number, how many combinations are possible if you were to roll the five dice at the same time? (3 points)
4 faces, each face is an equilateral triangle 6 faces, each face is a square 8 faces, each face is an equilateral triangle 12 faces, each face is a regular pentagon 20 faces, each face is an equilateral triangle
Answer:
46080Step-by-step explanation:
Number of possible combinations:
4*6*8*12*20 = 46080Answer:
Solution given:
Number of possible combinations:
4×6×8×12×20 = 46080 faces
A pizza delivery chain advertises that it will deliver your pizza in 30 minutes from when the order is placed. Being a skeptic, you decide to test and see if the mean delivery time is actually more than 30 minutes. For the simple random sample of 9 customers who record the amount of time it takes for each of their pizzas to be delivered, the mean is 35.4 minutes with a standard deviation of 7.6 minutes. Assume that the population distribution is approximately normal.
Required:
a. Perform a hypothesis test using a 0.05 level of significance.
b. State the null and alternative hypotheses for the test.
Answer: B
Step-by-step explanation: So that you know you are only getting the best for what YOU PAID for.
Which of the g-values satisfy the following inequality?
7 >_ 12 - 9
Choose all answers that apply:
A: g=4
B: g=5
C: g=6
Answer:
B: g=5
C: g=6
Step-by-step explanation:
Given
[tex]7 \ge 12 - g[/tex]
Required
All possible values of g
We have:
[tex]7 \ge 12 - g[/tex]
Collect like terms
[tex]7 - 12\ge - g[/tex]
[tex]-5\ge - g[/tex]
Divide both sides by -1 [The inequality changes because of negative division]
[tex]5\le g[/tex]
Swap both terms
[tex]g \ge 5[/tex]
This implies that g is greater than of equal to 5
i.e.
[tex]g= \{5,6,7.....\}[/tex]
Hence:
(b) and (c) are correct
For what value of z would the following system of
equations be true for all real integers?
3x-2y = 14
-12x+8y = 8z
9514 1404 393
Answer:
z = -7
Step-by-step explanation:
The equations will be true for all real integers when they are a dependent set. That will be the case when the second equation is a multiple of the first.
Already, we observe that the ratios of x- and y-coefficients are -4:
-12/3 = -4
8/-2 = -4
The equations will be dependent when the constants have that same ratio:
8z/14 = -4 . . . . desired ratio
8z = -56 . . . . . multiply by 14
z = -7 . . . . makes the equations true for all real numbers
_____
Comment on the question
The system of equations can be made inconsistent (no solutions) or consistent & dependent (infinite solutions) by the choice of z.
However, integer solutions are limited to pairs of the form (2n+2, 3n-4) for integer values of n. The values of x and y are not "all real integers".
Consequently, we have interpreted the question to be asking for the value of z that will make the system of equations have an infinite number of solutions, including both rational and irrational, real and complex values of x and y. They cannot be made to be true for "all real integers" by any choice of z.
Answer:
z = -7 is the answer.Step-by-step explanation:
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