Answer: the answers are:6/16=9/x: 9/6=x/16: and 9/x=6/16
Step-by-step explanation:
Jean will cover the front
and back of a folder with craft paper.
The folder measures 29 centimeters
by 24 centimeters. How many square
centimeters of craft paper will Jean use?
Answer: 696 sq cm
Step-by-step explanation: A = l × w
l = 29cm; w = 24cm
= 29 x 24 = 696 sq cm
The length of time it takes college students to ï¬nd a parking spot in the library parking lot follows a normal distribution with a mean of 5.5 minutes and a standard deviation of 1 minute. Find the probability that a randomly selected college student will take between 4.0 and 6.5 minutes to ï¬nd a parking spot in the library lot.
0.7745 is the probability that a randomly selected college student will take between 4.0 and 6.5 minutes to find a parking lot in the library lot.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Here, we have
Given
Mean, μ = 5.5 minutes
Standard Deviation, σ = 1 minute
We are given that the distribution of length of time is a bell-shaped distribution that is a normal distribution.
z(score) = (x - μ)/σ
P(college student will take between 4.0 and 6.5 minutes)
= P(4.0 ≤ x ≤ 6.5)
= P((4.0 - 5.5)/1 ≤ z ≤ (6.5 - 5.5)/1)
= P(-1.5 ≤ z ≤ 1)
= P(z ≤ 1) - P(z < - 1.5)
= 0.8413 - 0.0668
= 0.7745 = 77.45%
Hence, 0.7745 is the probability that a randomly selected college student will take between 4.0 and 6.5 minutes to find a parking lot in the library lot.
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Question 1 of 10
Simplify the following expression.
3x^4+2x³-5x² +4x²+6x-2x-3x^4 +7x^5-3x³
Combining like terms yields 7x⁵ - x³ - x² + 4x.
a bank tellers hourly wage will increase from $24 to $27.60. what percent increase does this represent?a stereo is marked down $105. if this is a 25% decrease, find the original price?
Answer:
i know
Step-by-step explanation:
but I don't have pen
Answer:
15$
Step-by-step explanation:
24.00 increased by 15% is 27.60
the increase is 3.60
so the answer is 15%
Write an equation of the line with a slope of —3 and y-intercept of 0.
Identify whether each function is linear or exponential.
Function A:
Function C
Function D:
You have $200 in
a savings
account that
earns 1% annual
interest
b. Which function has the greatest growth factor? Justify your response.
Answer:
A)
Function A: Exponential
Function B: Linear
Function C: Exponential
Function D: Exponential
B) Function A
Step-by-step explanation:
Function A: This is exponential because- (1, 3)(2,9)(3,27)
It is not going up by the same number each time. However, it is multiplying by 3 each time which means it is exponential.
Function B: This is linear because- (1, 64)(1, 80)(1, 96)
It is going up by 16 each time, (a constant number) which means it is linear.
Function C: This is exponential because- there is a curve, linear is always a straight line. But, this has a curve which means it is exponential.
Function D: This is exponential because- It is increasing by a percentage and not a constant number. It is increasing by 1% which means it is exponential.
The function that has the greatest growth factor is Function A because, Function A multiplies by 3 each time. Function B is linear, exponential functions always pass linear functions despite how "steep" they are. Eventually, the exponential function will surpass it. Function C is also exponential but is not as "steep" as Function A. Function A multiplies by 3 each time but Function C increases less. Function D is also exponential, and for the same reasons as Function C, Function A has the greatest growth factor.
Solve for a. -2(a-3)=12
Answer:
a=9
Step-by-step explanation:
Answer:
-2a+6=12
-2a=12-6
-2a=6
-2a=6
Divide both sides by -2a
a=-3
Step-by-step explanation:
Please help me answer this :)
Explain your answer
Will give brainiest ! Oh
Answer:
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Because the points are going up by 10 :)
Solve Only estimation
Answer:
3a)1680
b)2620
4a)2130
b)13300
c)460
d)7540
Step-by-step explanation:
3a)1500+180
b)2800-170
4a)1800+330
b)7300+6000
c)670-210
d)8000-460
Answer:
a) 1600
b) 2600
c) 2200
d) 13200
e) 500
Step-by-step explanation:
a) 1463 + 179
1400 + 200
1600
b) 2806 - 176
2800 - 200
2600
c) 1831 + 329
1900 + 300
2200
d) 7345 + 5893
7300 + 5900
13200
e) 665 - 213
700 - 200
500
which of the following is equivalent to 5(2x - 3) - 4(3x - 2) = 18?
2x-7=18 -
2x-5=18
-2x-7=18
-2x-23=18
Answer:
-2x-7=18
Step-by-step explanation:
my be this could help
PLS HELP!
Adrian is going to invest $9,900 and leave it in an account for 10 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Adrian to end up with $17,700?
Answer:
5.81%
Step-by-step explanation:
What is 8/9 divide 4
Answer: 8/9 divided by 4 is 2/9.
Step-by-step explanation: If you want to divide fractions, first you need to find the reciprocal of the second term. The reciprocal is when you swap the numerator and the denominator. The reciprocal of 4 is 1/4. Then, you multiply 8/9 is 1/4. 8 x 1 is 8, and 9 x 4 is 36. The answer is 8/36, which you can simplify into 2/9.
The value of the expression (8/9)÷4 is (8/9)×1/4.
What is PEMDAS rule?PEMDAS rule states the correct order of simplifying an expression is as follows -: Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.
Given, A fraction 8/9 and it is being divided by 4.
∴ (8/9)÷4.
= (8/9)×1/4. (think of flipping the divisor to make it a multiplier)
= 32/9
Or
3 whole 5/9.
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The historical returns on a balanced portfolio have had an average return of 5% and a standard deviation of 14%, Assume that returns on this portfolio follow a normal distribution. (You may find it useful to reference the z table.) a. What percentage of returns were greater than 33%? (Round your final answer to 2 decimal places.) Percentage of returns = %
b. What percentage of returns were below -37%? (Round your final answer to 2 decimal places.) Percentage of returns %
The percentages of returns are given as follows:
a. Greater than 33%: 2.28%.
b. Below -37%: 0.13%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The parameters for this problem are given as follows:
\(\mu = 5, \sigma = 14\)
The proportion above 33% is the one subtracted by the p-value of Z when X = 33, hence:
Z = (33 - 5)/14
Z = 2.
Z = 2 has a p-value of 0.9772.
1 - 0.9772 = 0.0228 = 2.28%.
The proportion below -37% is the p-value of Z when X = -37, hence:
Z = (-37 - 5)/14
Z = -3.
Z = -3 has a p-value of 0.0013.
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Identify the parent function.
• A. Reciprocal
• B. Square root
• C. Absolute value
• D. Cube root
Answer:
it is c
Step-by-step explanation:
I need help!!!!!!!!!
Answer:
its b4 + 7b3 + 4b2 + b5 + 7b4+ 4b3= b5+8b4+11b3+4b2
Answer:
When multiplying, add the exponents, (example) remember if there is "7b" the exponent is one.
Multiply b^2 * b^3 = b^5 (add the exponent 2 + 3 = 5)
Multiply 7b * b^3 = 7b^4 (the exponent of 7b is one, add 1 + 3 for the exponent to become 4)
Multiply 4 * b^3 = 4b^3 (4 doesn't have a variable, the exponent will be 3)
b^2 * b*2 = b^4 (add exponents)
7b * b^2 = 7b^3 (add the exponents 1 + 2)
4 * b^2 = 4b^2
b^2 + 7b + 4
b^3 b^5 + 7b^4 + 4b^3
+
b^2 b^4 + 7b^3 + 4b^2
b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2
\(b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2\)
b^5 + 8b^4 + 11b^3 + 4b^2Suppose a life insurance company sells a
$280,000
1-year term life insurance policy to a
20-year-old
female for
$270.
According to the National Vital Statistics Report, 58(21), the probability that the female survives the year is
0.999544.
Compute and interpret the expected value of this policy to the insurance company.
Answer:
$142.32, profit on sale of the policy
Step-by-step explanation:
You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.
CostThe insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...
0.000456 × $280,000 = $127.68
ProfitThe company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...
$270 -127.68 = $142.32
The expected value of the policy to the company is $142.32.
This represents its profit from sale of the policy.
__
Additional comment
Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."
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Hatif has $150 in his account. He saves $80 each month. How long will it take before he has $630 in his account?
Answer:
6 months
Step-by-step explanation:
We can set up an equation based on his monthly savings to find out how long it will take for Hatif to reach $630 in his account.
Let's assume it takes Hatif "n" months to reach $630 in his account. Each month, he saves $80.
The equation representing the situation is:
$150 + $80n = $630
Now, let's solve for "n":
$80n = $630 - $150
$80n = $480
n = $480 / $80
n = 6
Therefore, it will take Hatif 6 months to reach $630 in his account.
A farmer planted 147 acres of corn. This was
75% of his total acreage. How many acres does
he have in all?
Answer:
196
Step-by-step explanation:
147/3 x4
Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answer:
Step-by-step explanation:
$100x0.5x1=$5
Please help with this one as well,,,
The whisker plot with the data provided should includes a range that goes from 7 to 49, and a median of 23.
How to draw a whisker plot?A whisker plot, also known as a box plot, is a graphical representation of a data set that shows the distribution of the data along with some important statistical information, such as the median, quartiles, and outliers. It is particularly useful for comparing the distribution of different data sets or for identifying potential outliers in a data set.
To create a whisker plot, follow these steps:
Collect the data you want to represent and arrange it in order from smallest to largest.Find the median, which is the middle value of the data set. If the data set has an even number of values, the median is the average of the two middle values.Find the lower quartile (Q1), which is the median of the lower half of the data set.Find the upper quartile (Q3), which is the median of the upper half of the data set.Calculate the interquartile range (IQR), which is the difference between Q3 and Q1.Learn more about whisker plots in https://brainly.com/question/2742784
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Which of the following functions is graphed below? HELP
The solution is: Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1, the following functions is graphed below.
Option C is correct.
Explanation:
We are given a graph of piece-wise function which break at x=1
We need to choose correct option for graph.
Function is break at x=1.
We will get two function
For x≤1 and x>1
As we can see x≤1, graph is linear and x>1 graph is parabolic.
Equation of linear graph, x≤1
Take two point of graph (0,6) and (-6,0)
Equation of line:
y-y1/y2-y1 = x-x1/x2-x1
y = x+1
f(x)=x+6 , x≤1
Equation of parabolic graph, x>1
f(x) = x^2 + 3
Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1
Please see the attached figure.
Hence, The option C is correct.
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Which of the following is the equation of the function f(x) graphed above? A. ƒ(x) = x(x − 2)²(x − 1)(x + 1) B. f(x) = (x - 2) (x − 1)(x + 1) c. f(x)= x(x - 2)²(x − 1)(x + 1) + 1)² D. f(x) = (x - 2)²(x - 1)(x - 1)^ E
The following equation represents the volume of a rectangular prism with a width of winches:V= 2w^3 - 7w^2 +3wa. What is the volume if the width is 5 inches?b. Factor this polynomial completely and describe what each factor means in terms of thedimensions of the rectangular prism.c. If the width is 5 inches, what are the other dimensions? How does this relate to youranswer to part a?d. Graph the polynomial on a graphing calculator or an online graphing application. Whatare the x-intercepts? What do these mean in terms of the situation?e. What are the domain and range in terms of the situation? Justify your answers.
Solution:
Given:
\(V=2w^3-7w^2+3w\)a) When the width is 5 inches,
Substitute w = 5 into the equation.
\(\begin{gathered} V=2(5^3)-7(5^2)+3(5) \\ V=2(125)-7(25)+15 \\ V=250-175+15 \\ V=90\text{ }in^3 \end{gathered}\)Therefore, the volume of the prism is 90 cubic inches.
b) Factor the polynomial
\(\begin{gathered} 2w^3-7w^2+3w=w(2w^2-7w+3) \\ w(2w^2-w-6w+3)=w(w(2w-1)-3(2w-2)) \\ =w(w-3)(2w-1) \end{gathered}\)Therefore, the completely factored polynomial is w(w-3)(2w-1)
\(\begin{gathered} w\text{ is the width} \\ 2w-1\text{ can be the length} \\ w-3\text{ can be the height} \end{gathered}\)c) If w = 5 inches;
\(\begin{gathered} l=2w-1 \\ l=2(5)-1 \\ l=10-1 \\ l=9inches \\ \\ \\ \\ h=w-3 \\ h=5-3 \\ h=2inches \end{gathered}\)It relates using the formula of volume of a rectangular prism;
\(\begin{gathered} V=lbh \\ V=9\times5\times2 \\ V=90in^3 \\ \\ The\text{ volume in part \lparen a\rparen is also }90in^3 \end{gathered}\)d) The graph of the function is shown below;
The x-intercepts are;
\(w=0,w=0.5,w=3\)In terms of the situation, the x-intercepts means when
Rearrange and evaluate : 20 x 125 x 50 × 8 pls give ans fast
\(\huge{\mathbb{\tt{GREATEST \: TO \: LEAST}}}\)
\(» 125×50×20×8=1 \: 000 \: 000\)
\(\huge{\mathbb{\tt{LEAST \: TO \: GREATEST}}}\)
\(» 8×20×50×125=1 \: 000 \: 000\)
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XxKim02xXThe Black transles are shown. Find the value of
The value of
(just type a number in the box)
please help me !!
Answer:
I think its d
Step-by-step explanation:Because i think that.
Answer:
x = 8
Step-by-step explanation:
The ratio between the traingle is
2:3
x:12
3*4 = 12
2*4 = 8
8:12
a prism is completely filled with 96 cubes that have edge lengths of 1/2 cm. What is the volume of the prism?
Enter your answer in the box.
Answer:
12 cubic cm
Step-by-step explanation:
\(V_{1\: cube} = \bigg( \frac{1}{2} \bigg )^{3} = \frac{1}{8} \: {cm}^{3} \\ \\ \implies \:V_{96\: cubes} = 96 \times \frac{1}{8} \: {cm}^{3} = 12\: {cm}^{3} \)
It is given that: prism is completely filled with 96 cubes.
\(\implies \: V_{prism} =V_{96\: cubes}\)
\(\implies \: \huge \red{V_{prism} = 12\: {cm}^{3}}\)
On a piece of paper graph f(x) = 3x. Then determine which answer choice matches the graph you drew
Answer:
--
Step-by-step explanation:
Show all the options please
Not able to see all options
Can yall help answer these math questions? It’s for marks I’d really appreciate it if you guys can answer.
Answer:
A)
g is game
m is money
g = 6m
B) 5g = 30m
Step-by-step explanation:
The July bank statement sent by the bank to ABC company shows a balance of cash on deposit at July 31 of Br.4,964.47 Assume that on July 31, assume the on July 31, ABCs ledger shows a bank balance of Br. 4 173. 83. 1. A deposit of Br 410. 90 made after banking hours and doesnt appear in the bank statement2. A check drawn for Br. 79 had been erroneously charged by the bank Br.973. For checks issued in July have not yet been paid by the bank (outstanding checks). : Theses checks are;- Check No date amount 801 June 15 ---Br.100,00 888 July 24 ----Br. 10.25 890 July 27--- Br. 294.50 891 July 30 ---Br. 205.004. A check written for birr 210 had been incorrectly charged by the bank as birr 120 5. Proceeds from collection of a interest bearing note receivable from David. ABC Company had left this note with the banks collection department. The face amount of the note was birr 500 6. Br. 24.75 interest earned on average account balance during July7. A check for Br. 10 returned with the statement had been recorded in the check register as Br. 100. The check was for the payment of an obligation to Davis Equipment Company for the purchase of office supplies on account 8. Br. 5,00 fee charged by bank for handling collection of note receivable 9. Br. 50.25 check from customer John deposited by ABC company charged bank as Non sufficient fund (NSF) 10. Br. 12.70 service charged by bank for the month of July. 11. Check number 875 was issued July 20 in the amount of Br 85 but was erroneously recorded in the cash payment Journal as Br 58 for payment of telephone expense prepare bank reconcilation and journal entry
The bank reconciliation shows an adjusted bank balance of Br.5,301.42 and an adjusted ledger balance of Br.4,173.83.
To prepare the bank reconciliation and journal entry for ABC Company based on the given information, we need to compare the transactions recorded in ABC's ledger with the transactions shown in the bank statement. Here's the bank reconciliation:
1. Bank Statement Balance:
Cash on deposit at July 31: Br.4,964.47
2. Adjusted Bank Balance:
Bank Statement Balance: Br.4,964.47
3. Deposit not on the statement: + Br.410.90
(Adjusted Bank Balance: Br.5,375.37)
Erroneously charged check: + Br.79
(Adjusted Bank Balance: Br.5,454.37)
Outstanding checks:
Check 801: - Br.100.00
Check 888: - Br.10.25
Check 890: - Br.294.50
Check 891: - Br.205.00
(Adjusted Bank Balance: Br.4,844.62)
4. Incorrectly charged check: + Br.90
(Adjusted Bank Balance: Br.4,934.62)
5. Collection of interest-bearing note: + Br.500
(Adjusted Bank Balance: Br.5,434.62)
6. Interest earned: + Br.24.75
(Adjusted Bank Balance: Br.5,459.37)
7. Incorrectly recorded check: - Br.90
(Adjusted Bank Balance: Br.5,369.37)
8. Collection fee: - Br.5.00
(Adjusted Bank Balance: Br.5,364.37)
9. NSF check: - Br.50.25
(Adjusted Bank Balance: Br.5,314.12)
10. Service charge: - Br.12.70
(Adjusted Bank Balance: Br.5,301.42)
Adjusted Ledger Balance:
Bank Balance in ABC's Ledger: Br.4,173.83
Reconciled Bank Balance: Br.5,301.42
Reconciled Ledger Balance: Br.4,173.83
Journal Entry:
To record the bank reconciliation, we make the following journal entry:
Debit: Cash (Ledger Balance adjustment) - Br.5,301.42
Credit: Cash (Bank Statement Balance adjustment) - Br.4,964.47
Credit: Miscellaneous Income/Expense - Br.336.95 (the difference between the two balances)
This journal entry ensures that the ledger balance matches the reconciled bank balance by adjusting for the discrepancies identified during the reconciliation process.
The journal entry reflects the necessary adjustments to reconcile the two balances, with a debit to Cash (Ledger Balance adjustment), a credit to Cash (Bank Statement Balance adjustment), and a credit to Miscellaneous Income/Expense to account for the difference.
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Read instructions and do this on a separate piece of paper and draw all lines with a ruler or any straightedge. I will mark you brainliest.
The required angles (corresponding, vertical and alternate) in relation to the Parallel lines are attached accordingly.
What is a parallel line?Parallel lines are coplanar infinite straight lines that do not cross at any point in geometry. Parallel planes are planes that never intersect in the same three-dimensional space.
When two parallel lines cross by any other line (i.e. the transversal), corresponding angles are generated in matching corners or corresponding corners with the transversal.
When two parallel lines are sliced by a transversal, the resulting alternate exterior angles are congruent, according to the Alternate Exterior Angles Theorem.
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