Giving a test to a group of students, the grades and gender are summarized belowGrades and GenderABсMale14618Female19153If one student was chosen at random, find the probability that the student was female.Probability=(Round to 4 decimal places)
Answers
From the question,
We are given the table below
We are to calculate proberbility that if one student was picked at random, it is a female
This will be done using
\(P(\text{Female)}=\frac{\text{Number of females}}{Total\text{ Gender}}\)From the given table
Number of Females = 19 + 15 + 3 = 37
Total Gender = Number of Male + Number of Female
= 14 + 6 + 18 + 37 = 75
Therefore, we get
\(\begin{gathered} P(\text{Female)}=\frac{37}{75} \\ P(\text{Female)}=0.4933 \end{gathered}\)Therefore, Probability = 0.4933
Related Questions
Please help I have trouble on these...
Answers
The value of a is 5, b is 4, c is 0, d is 3, e is 6 and R is 6 after following the long division method.
According to the question,
We have to divide 430 by 8 by following the long division method.
Note that when we follow long division method then the number by which we are dividing (divisor) is to be multiplied in such a way that the result remains less than the number in the dividend.
Now, we will solve it step by step.
In dividing 43 by 8, we have to multiply 8 by 5. Then, we get 40.
So, we have a = 5, b = 4 and c = 0.
Now, after this we have 30 and the number that we get after multiplication is 24. So, 3 has to be multiplied in 8 to get 24.
So, we have d = 3.
Now, when we will subtract 24 from 30, we will get 6.
So, we have e = 6.
And e is also the remainder, R. So, we have R = 6.
Hence, the values of a, b, c, d, e, and R are 5, 4, 0, 3, 6, and 6 respectively.
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do this worksheet if someone do I will make him or her brainly if correct
Answers
Answer:
1. 19/100
2. 3/10
3. 80%
4. 85%
5. 3/20
Simplify the expression. (Use the Distributive Property)
4(2c - 2)
Answers
Answer:
4(2-2c)
Step-by-step explanation:
because you switch it around
Answer:
-1
Step-by-step explanation:
times 4 by 2c and 4 by -2
8c and -8 then you divide by each other and get -1
PLS HELP
A family is deciding between lawn care services. Green Lawn charges $50 startup fee plus $30
per month. Grass Team charges $40 per month.
a) when will the prices be the same? Write a linear system and solve.
B) what is the cost when the prices are the same?
C) if the family will be using the lawn service for one year, which is the best option for them?
Answers
Answer:
Step-by-step explanation:
A
Three times the age of Abel is four more than the age of Asare.In three years,the sum of their ages will be 30 years.Find their present ages
Answers
Answer:
Abel is 7 and Asare is 17 years old
Step-by-step explanation:
Let the age of Abel is x and age of Asare is y.
Three times the age of Abel is four more than the age of Asare:
3x = y + 4And
In three years, the sum of their ages will be 30 years:
x + 3 + y + 3 = 30We got two equations.
Simplify and solve by substitution:
y = 3x - 4x + y = 243x - 4 + x = 24 Substitute y4x - 4 = 244x = 28x = 7Find y:
17 + y = 24y = 7How many numbers between 1 and 100 (inclusive) are divisible by 10 and 77?
Answers
Answer:
none
Step-by-step explanation:
The only number in the range 1 to 100 that is divisible by 77 is 77. It is not divisible by 10.
No numbers in the range 1 to 100 are divisible by both 10 and 77.
Mitchell reads only mysteries and sports books. Last year, he read 5 mysteries for every 2 sports books.
If Mitchell read 12 more mysteries than sports books, how many mysteries did he read?
Answers
Answer:
the answer is 20
Step-by-step explanation:
Can someone please help me
Answers
Answer: i don''t know the answer im sorry i hope someone helps you :)
Step-by-step explanation:
based on the above estimated regression equation, if price is increased by 6 units, then demand is expected to
Answers
Therefore demand is "decreased by 100 units".
What is predicted value in regression?
Given the values of X, we can predict the values of Y using the regression line. We go directly up to the line for any given value of X, then move horizontally to the left to get the value of Y. The expected value of Y is abbreviated Y' and is known as the predicted value of Y.
\($$\begin{aligned}& \hat{y}=130-20 x \\& \hat{y}=\text { demand of product } \\& x=\text { price of product }\end{aligned}$$\)
Given \($x$\), increased by 5 units
\($$\begin{aligned}& \hat{y}=130-20(x+5)=130-20 x-100 \\& \hat{y}=30-20 x\end{aligned}$$\)
Therefore demand is "decreased by 100 units"
Complete question: Regression analysis was applied between demand for a product (y) and the price of the product (x), and the following estimated regression equation was obtained. ŷ = 130 − 20x Based on the above estimated regression equation, if price is increased by 5 units, then demand is expected to: increase by 100 units. decrease by 20 units. increase by 130 units. decrease by 100 units.
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Thank you to who it is that helps me!
Answers
Answer:
B
D
D
Step-by-step explanation:
please verify and rate 5 stars and say thank you
9. The Super Vision cable TV/Internet/phone provider advertises a flat $100 monthly fee for all
three services for a new customer. The rate is guaranteed for 5 years. Cable Zone normally
charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for
monthly cable television.
a. How much could a customer save during the first year by switching from Cable Zone to
Super Vision?
b. Super Vision raises the rates 23% after a new customer's first year, how much will a customer
who switched from Super Vision save in the second year?
c. If Super Vision raises the rates 18% for the third year compared to the second year, which
company is cheaper for the third year?
Answers
a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.
b. Super Vision raises the rates 23% after a new customer's first year, a customer who switched from Super Vision save $180 in the second year.
c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.
a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.
Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:
$46 (home phone) + $36 (Internet) + $56 (cable television) = $138
Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:
$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month
Therefore, during the first year, the customer could save:
$38 (monthly savings) * 12 (number of months) = $456
b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:
$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123
To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:
$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month
Therefore, in the second year, the customer would save:
$15 (monthly savings) * 12 (number of months) = $180
c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:
$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14
To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:
$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14
In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.
Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.
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Find the equation of the linear function represented by the table in slope intercept form:Answer: y =
Answers
Answer:
y=5x-3
Explanation:
The slope-intercept form of the equation of a straight line is:
\(y=mx+b\text{ where }\begin{cases}m=\text{slope} \\ b=y-\text{intercept}\end{cases}\)First, determine the slope using any two pair of points: (0,-3) and (1,2)
\(\begin{gathered} \text{Slope},m=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =\frac{2-(-3)}{1-0} \\ m=\frac{5}{1} \\ m=5 \end{gathered}\)Next, determine the y-intercept:
The y-intercept is the point where x=0.
• From the table, b=-3.
Thus, the required equation is:
\(y=5x-3\)Dos campañas suenas a intervalos de 26 y 78 minutos respectivamente ¿A que hora sonarán juntas otra vez si empieza simultáneamente a las 12 del mediodía
Answers
A computer malfunction or build a new facility for assembling computers there were construction and new equipment costs the company paid for these costs and made combined profits of 40 million after a four-year time. As shown in the graph
Answers
Answer:
D f(x) = 30x - 80 trust me I feel your pain
Step-by-step explanation:
McDonald's sold 16,000 Egg McMuffin's in the month of January. In the month of February they decreased their sales by 4000 Egg McMuffin's. By what percent did they decrease their monthly sales of Egg McMuffin's from January to February?
Answers
Answer: 25%
Step-by-step explanation:
4000 divided by 1600= 4
1/4 = 25%
Write the following phrase as an algebraic expression and simplify
Four-sevenths of a number, increased by fifteen
The answer is
(Simplify your answer.)
Answers
Answer:
4/7n+15
Step-by-step explanation:
Let the number be n
4/7 of a number means: 4/7 times a number (n). So 4/7n then, increase (add) that by 15
you'll get the equation 4/7n+15
Rakim's goal is to have at least $500 in his checking
account at the end of the year. The table shows his
activity for the month of January. Will Rakim make his
goal if the month of January's activity is representative
of how much he will save and spend each month?
Explain.
Answers
Answer:
Each month he will save $ 50
Each month he will spend $1,250
Raking will have $600 in his checking account at the end of the year.
Step-by-step explanation:
1300 - 500 - 750 = $50
$50 x 12 month = $600
The required amount Rakim saves and sped each month is $50 and $1250.
Given that,
Rakim's goal is to have at least $500 in his checking account at the end of the year. The table shows his activity for the month of January. Will Rakim make his goal.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
According to the question,
Total money he has = 1300
Total money spend = 750 + 500 = 1250
Money he save = 1300 - 1250 = 50
For the condition of at end of the year he must have at least $500
So,
Yearly saving = 50 × 12 = $600, which greater than $500.
The required amount Rakim saves and sped each month is $50 and $1250.
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To build a new skate park, a community board must have at least 50% of the voters agree to the build. At a recent voters meeting, 125 voters were asked if they would vote for the new skate park and 72 responded yes. Should the community board go ahead and start planning the park?
No, they should not plan for the skate park because the sample had about 42.4% people vote no.
No, they should not plan for the skate park because the sample had about 57.6% people vote no.
Yes, they should plan for the skate park because the sample had about 42.4% people vote yes.
Yes, they should plan for the skate park because the sample had about 57.6% people vote yes.
Answers
The solution is Option D.
The skate park should be build as the percentage of votes was 57.6 %
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the percentage of votes be represented as A
Now , the skate park will be built if the percentage of votes is greater than 50 %
Now , the total number of voters = 125 voters
The number of voters who responded to building the park = 72 voters
Substituting the values in the equation , we get
A = ( number of voters who responded to building the park / total number of voters ) x 100
On simplifying the equation , we get
A = ( 72 / 125 ) x 100
A = 0.576 x 100
A = 57.6 %
And , A > 50 %
Therefore , they should plan for the skate park because the sample had about 57.6% people vote yes
Hence , the percentage of votes is 57.6 %
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You are solving a measurement problem where the numbers 5.2187 x 10−3, 2.05 x 107, and 3.40 x 103 are multiplied. How many significant digits should the product have?
5
3
2
1
Answers
The number of significant digits that the product have is 3.
Significant figures are the number of digits that add to the correctness of a value, frequently a measurement. The first non-zero digit is where we start counting significant figures.
Rules for determining Significant Numbers,
Within the specified measurement or reporting resolution, non-zero digits are significant.Significant zeros occur between two significant non-zero digits (significant trapped zeros).Leading zeros (zeroes to the left of the first non-zero digit) is not important.The trailing zeros (zeroes after the final non-zero digit) in a decimal number are important if they fall within the measurement or reporting resolution.The trailing zeros (zeroes after the final non-zero digit) in a decimal number are important if they fall within the measurement or reporting resolution.Given Numbers are \(5.2187 * 10^{-3}, 2.05 *10^{7} and 3.40 * 10^{3}\)
Now, Multiplying the given numbers,
\(5.2187 * 10^{-3}* 2.05 *10^{7} * 3.40 * 10^{3} =3.64 *10^{8}\)
So, In 3.64 *10^8, The number of significant digits is 3.
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Answer:
answer is 3
Step-by-step explanation:
Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10
Answers
The list of elements in the sets are as follows:
A. A ∩ B = {2, 9}
B. B ∩ C = {2, 3}
C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D. B ∪ C = {2, 3, 5, 7, 9, 10}
How to find the elements in a set?Set are defined as the collection of objects whose elements are fixed and can not be changed.
Therefore,
universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 7, 8, 9}
B = {2, 3, 5, 9}
C = {2, 3, 7, 10}
Therefore,
A.
A ∩ B = {2, 9}
B.
B ∩ C = {2, 3}
C.
A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D.
B ∪ C = {2, 3, 5, 7, 9, 10}
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Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 5,900 8,900
Total expected material moves 590 190
Expected direct labor-hours per unit 790 290
The total materials handling cost for the year is expected to be $325,890.
If the materials handling cost is allocated on the basis of material moves, the total materials handling cost allocated to the modular homes is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$246,507.90
$160,629.00
$213,514.00
$238,382.50
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 6,000 9,000
Total expected material moves 600 200
Expected direct labor-hours per unit 800 300
The total materials handling cost for the year is expected to be $300,000.
If the materials handling cost is allocated on the basis of direct labor-hours, the total materials handling cost allocated to the prefab barns is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$105,000.00
200,000.00
$150,204.00
$108,000.00
Spates, Incorporated, manufactures and sells two products: Product H2 and Product E0. Data concerning the expected production of each product and the expected total direct labor-hours (DLHs) required to produce that output appear below:
Expected Production Direct Labor-Hours Per Unit Total Direct Labor-Hours
Product H2 190 6.9 1,311
Product E0 190 5.9 1,121
Total direct labor-hours 2,432
The company’s expected total manufacturing overhead is $270,968.
If the company allocates all of its overhead based on direct labor-hours, the overhead assigned to each unit of Product H2 would be closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$222.84 per unit
$126.48 per unit
$768.80 per unit
$96.36 per unit
Doles Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products.
Activity Cost Pools Activity Rate
Setting up batches $ 70.72 per batch
Processing customer orders $ 27.78 per customer order
Assembling products $ 12.81 per assembly hour
Data concerning two products appear below:
Product K52W Product X94T
Number of batches 66 53
Number of customer orders 46 31
Number of assembly hours 419 162
Required:
How much overhead cost would be assigned to each of the two products using the company's activity-based costing system? (Round your intermediate calculations and final answers to 2 decimal places.)
Answers
The total materials handling cost allocated to the modular homes is $246,372.84.
The total materials handling cost allocated to the Prefab Barns is closest to $108,000.
What is the total materials handling cost allocated?To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.
Proportion of material moves for Modular Homes:
= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)
= 590 / (590 + 190)
= 0.756
Total materials handling cost allocated to Modular Homes:
= Proportion of material moves for Modular Homes * Total materials handling cost
= 0.756 * $325,890
= 246 372.84
= $246,372.84.
To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.
For Modular Homes:
Total direct labor-hours for Modular Homes:
= 6,000 units * 800 hours/unit
= 4,800,000 hours
For Prefab Barns:
Total direct labor-hours for Prefab Barns:
= 9,000 units * 300 hours/unit
= 2,700,000 hours
Total direct labor-hours for both products:
= 4,800,000 hours + 2,700,000 hours
= 7,500,000 hours
Proportion of direct labor-hours for Prefab Barns:
= 2,700,000 hours / 7,500,000 hours
= 0.36
Allocated materials handling cost for Prefab Barns:
= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost
= 0.36 * $300,000
= $108,000.
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HELPPPP
Using the following diagram, solve for x.
Answers
Answer:
x = 7.5
Step-by-step explanation:
8 6
10 x
3/4×8 = 6
3/4×10 = 7.5
hope it helps you
A survey of 400 students yielded the following information: 262 were seniors, 215 were commuters, and 150 of the seniors were commuters. How many of the 400 surveyed students were seniors or were commuters?
Answers
Out of the 400 surveyed students, 327 were either seniors or commuters.
To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.
According to the information given:
There were 262 seniors.
There were 215 commuters.
150 of the seniors were also commuters.
To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.
Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters
= 262 + 215 - 150
= 327
Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.
It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.
This ensures an accurate count of the students who fall into either category.
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AM MARKING BRAINIEST!!!
Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?
Answers
Answer:
1.25
Step-by-step explanation:
3.75 divided by 3 = 1.25
Answer:
Step-by-step explanation:
3 : 3,75 = $ 0.8 per pound
Question
Consider this expression.
4/2² - 6²
Type the correct answer in the box. Use numerals instead of words. For help, see this worked example e.
When a =
-5 and b = 3, the value of the expression is
Submit
Answers
Answer:
16
Step-by-step explanation:
4 * sqrt( a^2 - b^2)
Let a = -5 and b =3
4 * sqrt( (-5)^2 - 3^2)
Do the squaring first
4 * sqrt( 25 - 9)
Subtract inside the square root
4 * sqrt( 16)
Take the square root
4 * 4
Multiply 16
Answer:
\(\Large \boxed{16}\)
Step-by-step explanation:
\(4\sqrt{a^2-b^2 }\)
\(\sf Plug \ in \ the \ values \ for \ a \ and \ b.\)
\(4\sqrt{-5^2-3^2 }\)
\(4\sqrt{25-9 }\)
\(4\sqrt{16}\)
\(4 \times 4=16\)
3,998-(-7)= can you please help me with this problem
Answers
Answer:
4005
Step-by-step explanation:
3,998 - (-7) = ?
Two negative signs will make a positive sign.
3,998 - (-7) = 3998 + 7 = 4005
So, the answer is 4005
please give me the answer for 50 - [9÷(6+3)]
Answers
Answer:
49
Step-by-step explanation:
6+3=9
9÷9=1
50-1=49
Answer:
49Step-by-step explanation:
please give me the answer for 50 - [9÷(6+3)]
remember PEMDAS
50 - [9÷(6+3)] =
50 - [9 : 9] =
50 - 1 =
49
Enter the correct answer in the box.
Simplify the expression (62,4.
Answers
Answer:
1679616
Step-by-step explanation:
pls help me on these 2 questions !!
Answers
Answer:
1. 23
2. 8
Step-by-step explanation:
☆Cross multiply.
\( \frac{2}{10} = \frac{4}{a - 3} \\ \\ 40 = 2(a - 3) \\ 40 = 2a - 6 \\ \frac{ + 6 = \: \: \: \: \: \: \: \: + 6}{ \frac{46}{2} = \frac{2a}{2} } \\ \\ 23 = a\)
--------
\( \frac{k}{6} = \frac{4}{3} \\ \\ \frac{24}{ 3} = \frac{3k}{3} \\ \\ 8 = k\)
The kitchen is 15 feet wide and wight 18ft long. How many 12 inch Square tiles will it take to tile the kitchen floor?
Answers
Answer:
270 tiles.
Step-by-step explanation:
The kitchen is 15 x 18 feet. If we multiply we find the area is 270 square feet. one square foot is a 12 x 12 inch square, so we can fit one tile per square foot, giving us 270 tiles.