Your local bank offers free checking for accounts with a balance greater than $500. You currently have $357.18 in your account. How much do you need to deposit to avid the month service fee?
Answer: 142.82
Step-by-step explanation:
To be able to avoid the banking fees, you will need to deposit extra
500-357.18=142.82 in your bank account
Fatuma recently hired an electrician to do some necessary work. On the final bill, Fatuma was charged a total of $708. $480 was listed for parts and the rest for labor. If the hourly rate for labor was $57, how many hours of labor was needed to complete the job?
Answer:
4 hours.
Step-by-step explanation:
First we need to subtract $480 from $708.
$708-$480= $228.
Because the hourly rate is $57 we need to divide 228 by 57.
228÷57=4
The answer is 4 hours.
refer to the image thank you
Answer:
C I think
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A train is traveling at a constant speed of 105 miles per hour. How many feet does it travel in 3 seconds? Remember that 1
mile is 5280 feet.
Answer:
9240ft per second
(105mi/1hr * 5280ft/1mi * 1hr/60sec)
Step-by-step explanation:
find a solution to the situation. Claire has 8 fewer books than Mai. If Mai has 26 books, how manny books does Claire have?
Answer:
18 books
Step-by-step explanation:
is x(4x^2+8x+12) completely factored? If not how else can it be factored ?
A. Yes the polynomial is completely factored
B. No 4 can be factored from each term of the trinomial and the resulting trinomial can be factored into two binomials.
C.no 4 can be factored from each term of the trinomial
D. No the trinomial 4x^2+8x+12 can be factored into two binomials
No 4 can be factored from each term of the trinomial. Therefore, option C is the correct answer.
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
The given polynomial is x(4x²+8x+12).
Here, in the trinomial 4x²+8x+12, 4 is common factor in each term.
So, group and factor out the greatest common factor (GCF), then combine.
That is, 4(x²+2x+3)
Now, x(4x²+8x+12)= 4x(x²+2x+3)
Therefore, option C is the correct answer.
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can someone go over my work please?
Answer:
well I don't know how you learn this, but if the sign doesn't have a line underneath then its an open circle other than that great job!
Step-by-step explanation:
make 2,3,6,7 open circle if you can then they will all be right
above is a table that shows a proportional relationship. What value should replace the question mark?
Answer:
I think the answer might be 700.
Step-by-step explanation:
If you divide 1,750 and 5 it equals 350. Then I multiplied the 2 by 350. That got me 700. Hope this helps!
24. Reconsider the sample observations on stabilized viscosity of asphalt specimens introduced in Exercise 43 in Chapter 1 (2781, 2900, 3013, 2856, and 2888). Suppose that for a particular application, it is required that true average viscosity be 3000. Does this requirement appear to have been satisfied? State and test the appropriate hypotheses.
Answer:
heyy!! I can't attach my answer here does someone know how to attach images?
Step-by-step explanation:
If the Diameter is 10 inches, what is the Radius? 2.5 inches 5 inches 10 inches 20 inches
Answer: Radius is always half of the diameter so the answer is 5
Step-by-step explanation:
Which of the following best describes the slope of the line below?
A. Undefined
B. Positive
C. Zero
D. Negative
Answer:
zero
Step-by-step explanation:
the slope does not change in y at all.
The difference between a number and 3 is no more than 2
Answer:
Any number 5 and below
Step-by-step explanation:
We are given the expression that the difference between a number and 3 is no more than 2. Break down the expression and spot the key word of "difference," therefore meaning that the unknown number "x" and 3 is equal or less than 2. We can create the algebraic expression of x - 3, now since the answer must equal 2 or below 2, we can create the inequality :
x - 3 ≤ 2
Now the only numbers that are allowed to be inputted here is 5 and below.
The solution to the inequality "the difference between a number and 3 is no more than 2" is x ≤ 5 or x ≥ 1.
Let us denote the number as "x," we can express the given statement as an inequality:
|x - 3| ≤ 2
This inequality states that the absolute value of the difference between x and 3 is less than or equal to 2.
If x - 3 ≥ 0 (x ≥ 3)
In this case, the absolute value can be removed:
x - 3 ≤ 2
x ≤ 2 + 3
x ≤ 5
and if x - 3 < 0 (x < 3)
The absolute value becomes negative:
-(x - 3) ≤ 2
x + 3 ≤ 2
x ≤ 2 - 3
x ≤ -1
x ≥ 1
Combining the results from both cases, we have:
x ≤ 5 or x ≥ 1
Therefore, the solution to the inequality "the difference between a number and 3 is no more than 2" is x ≤ 5 or x ≥ 1.
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Find the slope of the line that passes through the points (11,13) and (7,10).
Answer:
m = 3/4
Step-by-step explanation:
The horizontal change in x is 4 and the vertical change 3. The slope is therefore m = rise / run = 3/4.
Answer:
Slope is equal to the change in y over the change in x , or rise over run.
m=change in / y change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m=y2−y1/x2−x1
Substitute in the values of x and y into the equation to find the slope.
m=10−(13)/7−(11) Simplify.
m=34
Step-by-step explanation:
What is the slope of the function?
Answer:
slope measures the rate of change in the dependent variable as the independent variable changes
Step-by-step explanation:
i don't know hope it helps a little
Give me an explanation please
Answer:
The 3rd and 6th
Step-by-step explanation:
Make a system of equations, try to solve, and then see which statements apply.
let x be the cost of a DVD and y be the cost of a video game
Then you would have:
2x + y = 12
4x + 2y = 24
from turning the words into equations.
Now, solve:
first, multiply the first equation by 2
2x + y = 12 --> 4x + 2y = 24
Then, subtract the two equations:
4x + 2y = 24
- (4x + 2y = 24)
0 = 0
Since you have a number = a number, there are infinite solutions.
Go through the options they give you and see which ones are correct
o The system of linear equations that represents this situation has one solution
Not true, there are infinite
o The system of linear equations that represents the situation has no solution.
Not true
o The system of linear equations that represents the situation has infinitely many solutions.
True
o The DVD rentals cost more than video game rentals
Unknown, it could cost more but it can also cost less so this is not true
o The video rentals cost more than the DVD rentals
Unknown for the same reason
o You cannot determine the cost of video game rentals or DVDs.
True
The temperature is −4 °F. A high pressure front increases the temperature to 8 °F. By how many degrees did the temperature increase? Let x = the number of degrees increased.
Answer:
x=12 degrees
Step-by-step explanation:
Can you guys help with this?
Answer:
Step-by-step explanation:
Convert the units.
____ mL = 2L
Answer:
2000mL=2L
Step-by-step explanation:
What’s the side length to FD?
Match the chart to the type:
1. A chart that monitors the count of objects with a specific characteristic during a time period, or over consistent amount of area.
2. A chart that monitors the within sub-group variation with the range of the subgroups.
3. A chart that monitors the within sub-group variation with the standard deviations of the subgroups.
4. A chart that monitors the proportion of objects from a sample of size n that does, or does not have, a certain characteristic.
5. A chart that monitors the between sub-group averages of a quantitative characteristic.
key:
a. R chart
b. x-"bar"
c. chart
d. s chart
e. z chart
f. t chart
g. f chart
h. c chart
g. p chart
Solution :
1. A chart monitoring the object counts with some specific characteristic during the time period and/or some of consistent amount area -- c. c - chart
2. A chart which monitors the subgroup variations within the range of subgroups -- a. R chart
3. The chart monitoring the variation of within subgroup to that of the standard deviations of the subgroups -- d. s chart
4. The chart which monitors the objects' proportion from the sample size of n which does or does not have any particular characteristics -- g. p chart
5. The chart monitoring the averages between the subgroup of the quantitative characteristic keys -- b. x-"bar" chart
Question 2 Mr. Smith is buying two types of gift cards to give as prizes to employees at a company picnic. He will buy restaurant gift cards that each cost S40 and movie theater gift cards that each cost $25 He has $375 to buy a total of 12 gift cards. How many of each type of gift card can Mr. Smith buy?
Answer: He can buy 5 restaurant gift cards and 7 movie gift cards
Step-by-step explanation:
please answer me without spamming
Robyn sells 100 tickets to the fourth grade play. The table shows the part of the tickets she sold of each type. What fraction of the tickets were adult and student tickets ?
Answer:
78/100 i dk hope it helps soo sory if its wrong if its wrong use slader itlll give answers to your textbook cuz it looks like your using one
Step-by-step explanation:
According to the World Alamanac of 2005, Muhammed emerged as a prophet in 610
A. D. Which is a close estimate to about how many years have elapsed since then?
A. 23 centuries
B. 14 centuries
C. 13 centuries
D. 12 centuries
which of the following fractions is larger in these fractions 3/12, 2/6, 1/24
A student takes a multiple-choice test with 8 questions on it, each of which has 4 choices. The student randomly
guesses an answer to each question.
What is the probability that the student gets fewer than 2 questions correct?
Round to 3 decimal places
Blank 1:
Answer:
0.367 = 36.7% probability that the student gets fewer than 2 questions correct
Step-by-step explanation:
For each question, there are only two possible outcomes. Either he guesses the correct answer, or he does not. The probability of guessing the correct answer on a question is independent of any other question. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
8 questions on it
This means that [tex]n = 8[/tex]
4 choices.
One of them is correct, which means that [tex]\pi = \frac{1}{4} = 0.25[/tex]
What is the probability that the student gets fewer than 2 questions correct?
This is
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.25)^{0}.(0.75)^{8} = 0.1[/tex]
[tex]P(X = 1) = C_{8,1}.(0.25)^{1}.(0.75)^{7} = 0.267[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.1 + 0.267 = 0.367[/tex]
0.367 = 36.7% probability that the student gets fewer than 2 questions correct
Answer:
A student takes a multiple-choice test with 8 questions on it, each of which has 4 choices. The student randomly guesses an answer to each question.
What is the probability that the student gets fewer than 2 questions correct?
Round to 3 decimal places.
0.367
Step-by-step explanation:
Can someone tell me the answer pls
Answer: The second and the last answer are correct
Step-by-step explanation:
According to a human modeling project, the distribution of foot lengths of 16- to 17-year-old boys is approximately Normal with a mean of 25.5 centimeters and a standard deviation of 1.4 centimeters. Suppose a shoe store stocks shoes in men's sizes 7 through 12. These shoes will fit men with feet that are 24.6 to 28.8 centimeters long. What percentage of boys aged 16 to 17 will not be able find shoes that fit in this store?
Answer:
27.02% of boys aged 16 to 17 will not be able find shoes that fit in this store
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.
Mean of 25.5 centimeters and a standard deviation of 1.4 centimeters.
This means that [tex]\mu = 25.5, \sigma = 1.4[/tex]
These shoes will fit men with feet that are 24.6 to 28.8 centimeters long. What percentage of boys aged 16 to 17 will not be able find shoes that fit in this store?
Less than 24.6:
The proportion is the pvalue of Z when X = 24.6. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24.6 - 25.5}{1.4}[/tex]
[tex]Z = -0.64[/tex]
[tex]Z = -0.64[/tex] has a pvalue of 0.2611
More than 28.8:
The proportion is 1 subtracted by the pvalue of Z when X = 28.8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28.8 - 25.5}{1.4}[/tex]
[tex]Z = 2.36[/tex]
[tex]Z = 2.36[/tex] has a pvalue of 0.9909
1 - 0.9909 = 0.0091
0.2611 + 0.0091 = 0.2702
0.2702*100% = 27.02%
27.02% of boys aged 16 to 17 will not be able find shoes that fit in this store
1,8,64, ...
What is the 10th term in the sequence?
The Law and Order detectives enter a house at 11:30 am and found a man on the floor murdered. They take his body temperature finding to be 91.8 F. The body is taken to the morgue and at 12:30 pm the body temperature is 84.4 F. Using an exponential model for the body temperature, to the nearest minute, what time was he killed. Normal body temperature is 98.6.
Answer:
Time of murder = 10:39 am
Step-by-step explanation:
Let the equation of exponential function representing the final temperature of the body after time 't' is,
f(t) = [tex]a(e)^{nt}[/tex]
Here, a = Initial temperature
n = Constant for the change in temperature
t = Duration
At 11:30 am temperature of the body was 91.8°F.
91.8 = [tex]98.6(e)^{nt}[/tex] --------(1)
Time to reach the body to the morgue = 12:30 pm
Duration to reach = 12:30 p.m. - 11:30 a.m.
= 1 hour
Therefore, equation will be,
84.4 = [tex]91.8(e)^{n\times 1}[/tex]
eⁿ = [tex]\frac{84.4}{91.8}[/tex]
ln(eⁿ) = ln(0.9194)
n = -0.08403
From equation (1),
91.8 = [tex]98.6(e)^{-0.08403t}[/tex]
[tex](e)^{0.08403t}=\frac{98.6}{91.8}[/tex]
[tex]ln[(e)^{0.08403t}]=ln[\frac{98.6}{91.8}][/tex]
0.08403t = 0.07146
t = 0.85 hours
t ≈ 51 minutes
Therefore, murder was done 51 minutes before the detectives arrival.
Time of murder = 11:30 - 00:51
= 10:90 - 00:51
= 10:39 am