Answer:
16.829 minutes
Step-by-step explanation:
To solve this problem, we need to set up a system of equations based on the given information. Let's define the variables:
Let x be the number of minutes.
Let y be the price in cents.
For calling card A, the price can be calculated using the formula: y = 69 + 1.9x
For calling card B, the price can be calculated using the formula: y = 6x
We want to find the number of minutes (x) where the price (y) is the same for both cards. To set up the system of equations, we equate the two expressions for y:
69 + 1.9x = 6x
Now, we can solve this equation to find the value of x, which represents the number of minutes where the prices are equal.
69 + 1.9x = 6x
To simplify the equation, we can subtract 1.9x from both sides:
69 = 6x - 1.9x
Combining like terms, we have:
69 = 4.1x
To isolate x, we divide both sides of the equation by 4.1:
69 / 4.1 = x
Simplifying the division gives us:
16.829 = x
Therefore, the number of minutes (x) where the price (y) is the same for both calling cards A and B is approximately 16.829 minutes.
Hope this helps!
Answer:
For calling card A: y = 0.019x + 0.69
For calling card B: y = 0.06x
Step-by-step explanation:
For calling card A: y = 0.019x + 0.69
For calling card B: y = 0.06x
Set the prices equal to each other to find when they are the same:
0.019x + 0.69 = 0.06x
Simplify and solve for x:
0.041x = 0.69
x = 16.83 (rounded to two decimal places)
Therefore, if a person expects to talk for 16.83 minutes or more, calling card A will be cheaper. If they expect to talk for less than 16.83 minutes, calling card B will be cheaper.
how to get the area of the base ?
Answer:
LxWxH
Step-by-step explanation:
he volume of the prism shown is 72 inches cubed.
A rectangular prism with a length of 4 inches, width of 3 inches, and height of 6 inches.
What is the volume of a pyramid with the same base length, base width, and height?
Step-by-step explanation:
the volume of the prism is
length × width × height = 72 in³
the volume of a pyramid is
length × width × height / 3
with the same sizes this means the volume of the pyramid is the volume of the prism / 3 = 72/3 = 24 in³
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
Which equation represents the total number of black and white squares on the chess board?
The equation that represents the total number of black and white squares on the chess board is 8 * 2² = 32
How to determine the equation of the black and white squaresFrom the question, we have the following parameters that can be used in our computation:
The chess board
From the chess board, we have
Black squares = 32
White squares = 32
When factorized, we have
Black squares = 32 = 8 * 2²
White squared = 32 = 8 * 2²
Hence, the equation that represents the squares on the chess board is 8 * 2² = 32
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About half of the world’s population of 7.8 billion people live in urban areas. How many
people live in urban areas?
Lucky Lauto is a game of chance in which each time you play, you must win or lose. If the P(winning in Lucky Lauto) = 0.008 %, then the t P(losing in Lucky Lauto) = [A] % QUESTION 22 [A] gives the ratio of the number of ways to succeed to the total number of ways that an experiment can happen.
The ratio of losing to the total number of possible outcomes is 99.992:100, or 12499:12500.
In the game of Lucky Lauto, the probability of winning is 0.008%, which means that the probability of losing is 100% - 0.008% = 99.992%. This is the complement of the probability of winning, as the two probabilities must add up to 100%.
The ratio of the number of ways to succeed to the total number of ways that an experiment can happen is given by the probability of success. In this case, the probability of winning is 0.008%, so the ratio of winning to the total number of possible outcomes is 0.008:100, or 1:12500.
Similarly, the ratio of losing to the total number of possible outcomes is 99.992:100, or 12499:12500.
In conclusion, the probability of losing in Lucky Lauto is 99.992%, and the ratio of losing to the total number of possible outcomes is 12499:12500.
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Consumers Energy states that the average electric bill across the state is $67.16. You want to test the claim that the average bill amount is greater than $67.16. The hypotheses for this situation are Null Hypothesis: μ ≤ 67.16, Alternative Hypothesis: μ > 67.16. If the true statewide average bill is $51.28 and the null hypothesis is not rejected, did a type I, type II, or no error occur?
a. Type I Error has occured.
b. No error has occured.
c. We do not know the degrees of freedom, so we cannot determine if an error has occured.
d. Type II Error has occured
e. We do not know the p-value, so we cannot determine if an error has occured.
Answer:
B: No error has occured
Step-by-step explanation:
In statistical hypothesis testing, we have two types of errors namely Type I error and Type II error.
Type I error occurs when we reject the null hypothesis although it is true. Meanwhile, Type II error occurs when we fail to reject the null hypothesis null hypothesis even though it is false.
Now, we are given the null and alternative hypothesis as;
Null Hypothesis: μ ≤ 67.16
Alternative Hypothesis: μ > 67.16.
Where μ represents the statewide average bill.
We are also given the true statewide average bill is $51.28.
Now, the true statewide average bill falls within the range of the null hypothesis given.
Thus, we can't reject the null hypothesis since it is true.
Now, we are told the null hypothesis is not rejected and that is correct.
Thus, there is no error as it doesn't fall into the type I or the type II error.
A mixture of 30 pounds of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates worth 90¢ a pound. How many pounds of the $1.50 chocolate were used to make the mixture?
Step-by-step explanation:
x = pounds of cheaper chocolate
y = pounds of more expensive chocolate
30 pounds for $1.10 per pound were sold.
so, the 30 pounds cost
1.1 × 30 = $ 33.00
and then we know
x + y = 30
0.9x + 1.5y = 33
from the first equation we get
x = 30 - y
and we use that in the second equation
0.9×(30 - y) + 1.5y = 33
27 - 0.9y + 1.5y = 33
0.6y = 6
y = 10 pounds
x = 30 - y = 30 - 10 = 20 pounds
anyway, 10 pounds of the $1.50 chocolate was used.
solve the following by multiplying by the inverse of the fractional coeffident 2/5t=20
Answer:
t=1/50
Step-by-step explanation:
2/5t=20
2=100t
2/100=t
t=1/50
5/15=n/21 Help please I don't know the answer for N
Answer:
7
Step-by-step explanation:
5/15=1/3
21÷3=7
1×7=7
3×7=21
n=7
Answer:
7
Step-by-step explanation:
5÷5=1
15÷5=3
thus,
5/15=1/3
1/3=n/21
n=?
21÷3=7
n=7
A lighthouse casts a 72-yard shadow at the same time as a 32-foot tall billboard casts a 19-foot
shadow.
What is the height of the lighthouse?
1 What is the 3 worth in each of these lengths?
a)32.5 m
b)84.3 m
C)93.2 m
d)70.3 m
e)23.0m
f)36.7 m
Answer:
doğru cevap b dir
Step-by-step explanation:
bilmiyim ki ca
Percy has an account balance of -33 dollars I. His checking account
Answer:
He bankrupted
Step-by-step explanation:
Setting 7/3 equal to which ratio would result in a valid proportion? 9/49 18/42 42/18 49/9
A primary credit card holder's card has an APR of 11.99%. The current monthly balance, before interest, is $9,768.26. The cardholder makes a payment of $350 the first 11 months and then pays off the balance at the end of the 12th month. How much interest did the credit card holder pay?
Answer:
Thus, for making installment payments, the credit card holder incurred the additional cost of Option D.
Step-by-step explanation:
The credit card holder paid an additional D. $559.56 over the 12 months versus paying the balance in full before the end of the first month.
How is the additional payment determined?
The additional payment made by the credit card holder results from paying installments instead of clearing the balance in the first month.
Installment plans attract finance charges at an annual percentage rate (APR), which increases the total amount paid.
Therefore, the additional payment is the difference between the total installment payments and the credit card balance at the beginning of the first month.
N (# of periods) = 12 months
I/Y (Interest per year) = 11.99%
PV (Present Value) = $6,299.59
PMT (Periodic Payment) = $-350
Results:
FV = $3,009.15
Sum of all periodic payments = $3,850 ($350 x 11)
Total Interest = $559.57
The total amount paid over the 12 months = $6,859.15 ($3,009.15 + $3,850)
The total amount paid in full in the first month = $6,299.59
Additional payment made via installments = $559.56 ($6,859.15 - $6,299.59)
Thus, for making installment payments, the credit card holder incurred the additional cost of Option D.
What is the slope of the line that passes through the points (−10,−8) and (−9,−8)? Write your answer in simplest form.
Answer:
slope=0
Step-by-step explanation:
The required slope of the line is zero which implies that the given line is parallel to the x-axis.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
here,
The slope of the line that passes through the points (−10,−8) and (−9,−8) is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute values in the above equation,
m = -8 + 8 / -9 +10
m = 0
Thus, the required slope of the line is zero which implies that the given line is parallel to the x-axis.
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Operations and
Algebraic
Thinking
4 divided
by 39
Lisa purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Lisa paid.
Answer:
c=5n
Step-by-step explanation:
The cost was 5 each so you times that by however many books we get but we don't know that so we just times the number of books (n) by 5.
5n
5(1)
5(2)
5(3)
etc so c=5n
Answer:
c=5n
Step-by-step explanation
Unit test
The table below shows the worth of each of Warren's three companies.
Company
Worth (in millions of dollars)
Margie's Travel
- 12.28
Fifth Coffee
-6.91
Northwind Traders
1.72
Help Warren sort his companies from least to greatest absolute value of worth.
Fifth Coffee
Northwind Traders
Margie's Travel
Og
Report a problem
Answer:
north wind traders,fifth cofffe, margies coffe
Step-by-step explanation:
anwsers from khan.
10. Write the statements to correctly complete the algebraic proof.
If 2x-13-5, then x = 4.
Given: 2x 13 = -5
Prove: x 4
Proof:
1.
2.
3. 2x=8
4₁
Statements
X=4
2x 13+13= -5+13
W
(6 pts)
2x-13 = -5
Substitution Property
Reasons
1.
2. Addition Property
3.
4.
Division Property
Given
For solving the equation we are using
subtraction property and ,the division property.What is an Equation ?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this tutorial, let's study more about math equations.
The equation is 2x = 13 - 5
here by subtracting 5 from 13 we get 8
so 2x = 8
or x = 4 (proved)
for solving the equation we are using
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What is √12x^8/√3x^2 simplest form:
Answer:
2x³
Explanation:
Given the expression
\(\frac{\sqrt[]{12x^8}}{\sqrt[]{3x^2}}\)Under the operation of division, we can combine the radicals as follows.
\(=\sqrt[]{\frac{12x^8}{3x^2}}\)We then simplify:
\(\begin{gathered} =\sqrt[]{4x^{8-2}} \\ =\sqrt[]{4x^6} \end{gathered}\)This can be further simplified to get:
\(\begin{gathered} =\sqrt[]{4}\times\sqrt[]{x^6} \\ =2\times x^{6\times\frac{1}{2}} \\ =2x^3 \end{gathered}\)Please answer this correctly without making mistakes
Answer:
1 pound 3.4 ounces
Step-by-step explanation:
(06.03 MC)
An experiment was conducted to test the effect of a new dietary supplement for weight loss. Ten men and ten women were given the supplement daily for a month; then the amount of weight each person lost was determined. A significance test was conducted at the α = 0.05 level for the mean difference in the number of pounds lost between men and women. The test resulted in t = 2.178 and p = 0.03. If the alternative hypothesis in question was Ha: μm − μw ≠ 0, where μm equals the mean number of pounds lost by men and μw equals the mean number of pounds lost by women, what conclusion can be drawn? (2 points)
Group of answer choices
There is not a significant difference in mean weight loss between men and women.
There is sufficient evidence that there is a difference in mean weight loss between men and women.
There is sufficient evidence that, on average, men lose more weight than women.
The proportion of men
From the p-value of the test, it is found that the conclusion is:
There is sufficient evidence that there is a difference in mean weight loss between men and women.At the null hypothesis, it is tested if there is no difference between the mean weight loss of men and women, that is:
\(H_0: \mu_m - \mu_w = 0\)
At the alternative hypothesis, it is tested if there is difference, that is:
\(H_1: \mu_m - \mu_w \neq 0\)
The p-value is of 0.03 < 0.05, hence the null hypothesis is rejected, and it is found that there is significant evidence to conclude that there is a difference.
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Answer:
There is sufficient evidence that there is a difference in mean weight loss between men and women.
Step-by-step explanation:
got it right
by the bank to ABC company shows a balance of cash on deposit at July 31 of Br.4 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
The bank reconciliation reveals various errors and discrepancies between ABC Company's records and the bank statement, including missing deposits, incorrect check charges, outstanding checks, unrecorded interest proceeds, fees, NSF charges, and recording errors.
Upon analyzing the bank reconciliation for ABC Company, several discrepancies between the company's records and the bank statement are identified:
A deposit of Br. 410.90 made after banking hours does not appear on the bank statement. This indicates that the deposit was not processed by the bank before the statement was generated.
A check drawn for Br. 79 was charged by the bank as Br. 973. This suggests an error by the bank in processing the check, resulting in an incorrect charge to ABC Company.
Outstanding checks are checks issued in July but have not yet been paid by the bank. The checks include check numbers 801, 888, 890, and 891, with respective amounts of Br. 100.00, Br. 10.25, Br. 294.50, and Br. 205.00.
A check written for Br. 210 was charged by the bank as Br. 120, indicating an error in the bank's recording.
The proceeds from the collection of an interest-bearing note receivable from David, with a face amount of Br. 500, are not reflected in the bank statement.
A Br. 24.75 interest earned on the average account balance during July is included in the bank statement.
A check for Br. 10, which was recorded in the check register as Br. 100, was returned with the statement. This discrepancy could be due to an error in recording the check amount.
A Br. 5.00 fee was charged by the bank for handling the collection of a note receivable.
A Br. 50.25 check from customer John, deposited by ABC Company, was charged by the bank as Non-Sufficient Funds (NSF), indicating that the customer's check bounced.
A Br. 12.70 service charge was imposed by the bank for the month of July.
Check number 875 was issued on July 20 for Br. 85 but was erroneously recorded in the cash payment journal as Br. 58 for the payment of telephone expenses.
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Simplify the expression.
30 - [(7 - 4) + (10 - 22)
30 - [(7 - 4) + (10 - 22)2 =
(ANSWER QUICKLY)
Answer:
-51
Step-by-step explanation:
30 - (3 + (-12))^2
30 - (-9)^2
30 - 81
-51
Answer:
-51Step-by-step explanation:
30 - [(7 - 4) + (10 - 22)]² = ?30 - [3 + (-12)]² = ?30 - [-9]² = ?30 - 81 = ?= -51\(\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}\)
Omar has a piece of rope. He ties a knot in the rope and measures the new length of the rope. He then repeats this process several times. Some of the data collected are listed in the table below.
Answer:
where is the table
hope it helps you
Write a two column proof (Given: x is the midpoint of WY and VZ) (Prove: VW=ZY)
Bruce and Felicia would have a unique solution to the given equation. The value of x that satisfies the equation is 15.
To determine if the equation 6x + 2 = 5x + 17 has a unique solution, we need to check if the variable x has a consistent value that satisfies the equation.
By simplifying the equation, we can see that the equation becomes:
6x - 5x = 17 - 2
Simplifying further, we have:
x = 15
Since the variable x has a specific value, in this case, x = 15, the equation does have a unique solution. When x is substituted with 15 in the equation, both sides are equal.
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Need answer ASAP. Giving Brainliest.
The inequality that represents the given graph is: D. y ≥ 2/3x + 2.
How to Determine the Equation of a Linear Inequality Graph?Using two points on the line, (0, 2) and (-3, 0), find the slope (m).
Slope (m) = change in y / change in x
Slope (m) = (2 - 0)/(0 - (-3))
Slope (m) = 2/3
The y-intercept (b) is the y-value of the point where the line intercepts the y-axis = 2.
Substitute m = 2/3 and b = 2 into y ≥ mx + b:
y ≥ 2/3x + 2
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Keeping car tires inflated is essential to safe driving. For one type of car tire, the tire pressure in pounds per square inch (psi) is assumed to be approximately Normal, with a mean of 35 psi and a standard deviation of 2 psi. What percentage of tires are inflated to a pressure between 33.5 and 36 psi?
Find the z-table here.
22.55%
46.48%
53.52%
77.45%
Answer:
Step-by-step explanation:
The text is a statistics problem that asks to find the probability of a certain range of values in a normal distribution. A normal distribution is a bell-shaped curve that shows how data values are spread around the mean. The mean is the average of all the data values, and the standard deviation is a measure of how much the data values vary from the mean. To solve this problem, we can use the following steps:
Convert the given range of values to standard scores or z-scores. A z-score tells us how many standard deviations a value is away from the mean. To find the z-score, we use the formula: z=σx−μ
where x is the value, μ is the mean, and σ is the standard deviation. For example, to find the z-score for 33.5 psi, we plug in the values: z=233.5−35=−0.75
This means that 33.5 psi is 0.75 standard deviations below the mean. Similarly, to find the z-score for 36 psi, we plug in the values: z=236−35=0.5
This means that 36 psi is 0.5 standard deviations above the mean.
Use a z-table to find the area under the curve for each z-score. A z-table is a table that shows the probability of getting a z-score less than or equal to a given value. For example, to find the area under the curve for -0.75, we look up the row for -0.7 and the column for 0.05 in the z-table and get 0.2266. This means that there is a 22.66% chance of getting a z-score less than or equal to -0.75. Similarly, to find the area under the curve for 0.5, we look up the row for 0.5 and the column for 0 in the z-table and get 0.6915. This means that there is a 69.15% chance of getting a z-score less than or equal to 0.5.
Subtract the smaller area from the larger area to find the area between the two z-scores. This area represents the probability of getting a value between 33.5 and 36 psi in the normal distribution. For example, to find the area between -0.75 and 0.5, we subtract: 0.6915−0.2266=0.4649
This means that there is a 46.49% chance of getting a value between 33.5 and 36 psi in the normal distribution.
Multiply the area by 100 to convert it to a percentage and write it with the appropriate units: The percentage of tires that are inflated to a pressure between 33.5 and 36 psi is 0.4649×100=46.49%
Simplify 3 x (7 - 2) + 6
Question 1 options:
25
13
36
21
Question 2 (3 points)
Add the fractions and write in reduced form
4/6+1/12
Question 2 options:
5/18
3/4
9/12
5/12
Question 3 (3 points)
Divide the fractions and write in reduced form
2/5÷3/4
Question 3 options:
3/10
6/15
6/20
8/15
Question 4 (3 points)
Subtract the mixed numbers and write in reduced form
645−423
Question 4 options:
2 2/8
2 2/15
11 7/15
10 3/4
Question 5 (3 points)
Simplify and write in reduced form
45 ×(14)2
Question 5 options:
1/40
1/10
4/80
1/20
Question 6 (3 points)
Convert to an improper fraction
2 3/5
Question 6 options:
10/5
13/10
24/5
13/5
Question 7 (3 points)
------------------------------------
Convert the improper fraction to a mixed number
31/9
Question 7 options:
3 1/9
9 3/4
3 4/9
3.4
Question 8 (3 points)
Solve the equation for t
t + 4/5 = 8
Question 8 options:
t = 7 1/5
t = 4/5
t = 8 1/5
t = 8 4/5
Question 9 (3 points)
Simplify the variable expression, when w = 6
w-5
----------
2
Question 9 options:
1
1/2
− 1
3 1/2
Question 10 (3 points)
A recipe calls for 2 1/3 cups of milk, but you only want to make 1/2 of it. How much milk is needed?
Question 10 options:
4 2/3cups
14/3cups
3 2/3cups
1 1/6cups
Answer: 1
Step-by-step explanation:
8/-4 ÷ -3/9
8/-4 × 9/ -3 = 6
Answer:
1. Simplify 3 x (7 - 2) + 6 = 21
2. 4/6 + 1/12 = 3/4
3. 2/5 ÷ 3/4 = 8/15
4. 6 4/5 − 4 2/3 = 2 2/15
5. 4/5 x (1/4) (squared) 2 = 1/20
6. 2 3/5 as a reduced fraction: 13/5
7. 31/9 as a reduced fraction: 3 4/9
8. Solve for t : t = 7 1/5
9. (I tried to solve the answer but I couldn't figure it out. I deeply apologize for this. )
10. For this one, the answer depends.
If you need the exact form it would be: 14/3
If you need the mixed number form it would be: 4 2/3
I tried my best to answer all the questions the best way I could.
Step-by-step explanation:
You got this and I know you can do it!