Answer:
160 cm
Step-by-step explanation:
the question says twice this length
the length is 80 cm, therefore
\(80 \times 2 = 160\)
This is because the question is dimply asking you to double the length of the shirt
A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a 6?A. 13/2B. 7/26C. 6/52D. 2/13
Step 1
State the expression for the probability of an event to occur.
\(\text{The probability of an event =}\frac{number\text{ of required events}}{\text{Total number of events}}\)Step 2
Find out the number of required events
Total number of events = 52 cards
\(\begin{gathered} A\text{ deck of cards has} \\ 4\text{ Suites - }hearts,\text{ clubs, spade and diamond.} \\ \text{and each suite has} \\ \mleft\lbrace ace,\text{ 2,3,4,5,6,7,8,9, jack, qu}een,\text{ king}\mright\rbrace \end{gathered}\)Therefore, the number of aces = 4
The number of 6 = 4
Step 3
Find the probability of getting an ace or a 6.
\(\begin{gathered} \text{The probability of getting an ace =}\frac{number\text{ of aces in a deck of cards}}{\text{Total number of cards}} \\ \text{The probability of getting an ace}=\frac{4}{52} \\ \text{The probability of g}etting\text{ a 6 =}\frac{number\text{ of 6 in a deck of cards}}{\text{Total number of cards}} \\ \text{The probability of g}etting\text{ a 6}=\frac{4}{52} \end{gathered}\)Therefore,
\(\text{The probability of drawing an ace or a 6 = }\frac{4}{52}+\frac{4}{52}=\frac{8}{52}=\frac{2}{13}\)Hence, Option D
a rectangular picture frame is 5 inches wide; the length of a rectangle is 10 more than its width
The number of inches by which each dimension must be increased is 10 inches.
Let length and width be increased by x.
so we get, the length = (10 + x) and breadth = (5 + x)
(10 + x)(5 + x) = 6 × 10 × 5
50 + 10 x + 5x + x² = 300
x² + 15x- 250 = 0
x² + 25x- 10x - 250 = 0
x (x + 25) - 10 (x + 25) = 0
(x + 25)(x - 10) = 0
x = -25 is not the right choice as length cannot be negative.
so x = 10
so both dimensions should be increased by 10 inches.
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The complete question is -
A rectangular picture frame is 5 inches wide and 10 inches tall. You want to make the area 6 times as large by increasing the length and width by the same amount. Find the number of inches by which each dimension must be increased.
What
is an arithmetic sequence with a common difference of −2?
Answer:
An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..
Step-by-step explanation:
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.
To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.
Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is
20,18,16,14,12
In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.
which expression is equivalent to -2-7?
At Marcy's Department Store, all dresses are
40% off. If the regular price of a dress is $85,
what is the sale price?
For the following description of data, identify the W's, name the variables, specify for each variable whether its use indicates it should be treated as categorical or quantitative, and for any quantitative variable identify the units in which it was measured (or note that they were not provided). Specify whether the data come from a designed survey or experiment. Are the variables time series or cross-sectional? Report any concerns you have as well.A company provides ratings from customer experiences on restaurants. For each restaurant, the percentage of customers that would return , the seating capacity and ratings of the service , decor , and food (all on a 30-point scale) are reported.1. Who was measured?A.The ratings companyB.The customersC.The restaurantsD.This information is not given.2. What was measured?A.The seating capacityB.The percentage of customers that would returnC.The foodD. The serviceE.The decorF. This information is not given.3. When were the measurements taken?A. CurrentlyB. RecentlyC. Last yearD. This information is not given.4. Where were measurements taken?A. At the customers' homesB. At the restaurantsC. At the ratings companyD. This information is not given.5. Why were the measurements taken?A. To provide a service to consumersB. To show an association between quality and costC. To determine the best restaurantD. This information is not given.6. How were the measurements taken?A. The data were collected by volunteer critics.B. The customers were surveyed.C. The staff at the restaurants were surveyed.D. This information is not given.7. Specify the categorical variables for this problem.A. The serviceB.The seating capacityC. The foodD. The percentage of customers that would returnE. The decorF. There are no categorical variables.8. Specify the quantitative variables and identify the units for this problem.A. The seating capacity ;the units are not specifiedB. The percentage of customers that would return ; the units are percentC. The decor ;the units are pointsD. The service ;the units are pointsE. The food ; the units are pointsF. There are no quantitative variables.9. Specify whether the data come from a designed survey or experiment.A. ExperimentB. Designed surveyC. This information cannot be determined by the given data.10. Are the variables time series or cross-sectional?A. Time seriesB. Cross-sectionalC. Neither11. Specify any concerns. A. The data collection was done incorrectly.B. The data sample size was too small.C. There are too many categorical variables.D. There are no specific concerns.
Answer:
1) C
2) B
3) D
4) B
5) C
6) B
7) F
8) B
9) B
10) B
11) D
Step-by-step explanation:
1) The restaurants were measured for each restaurant to give ratings as observations is being carried out on restaurants
2) The percentage of customers was measured to determine ratings. The food and decor can't be measured. Seating capacity is not a measurement variable.
3) The date of measurement is not mentioned
4) The measurement would have to be taken at restaurant obviously.
5) The measurments were taken to determine the ratings and decide the best restaurant
6) Since percentage of customers was measured, the customers had to be surveyed.
7) There are no categorical variables. All variables were measured on the scale of 30
8) Quantitative variable under investigation is number of customers who returned.
9) This is a survey not a design experiment. In design experiment, somethig is put on a test.
10) This is a cross-sectional data. nothing is being measurd over a period of time
11) There are no specific ocncerns since no data is mentioned in the question.
Answer: ^
Step-by-step explanation:
Given the formula P=2x+3y, find P when x=3 and y=5.
Do not include P= in your answer.
Answer : 21
Explanation : 2(3)+3(5) = 21
ASSESSMENT
Find the missing term:
1. 3:5= N: 15
2. N: 12-8: 24
3. 15: n= 60: 20
4. 9: 5= 27: n
5. 112: 24= N: 336
What is the value of
2021
−
2223
+
2425
2021
−
2223
+
2425
?
Answer:
the answer is 2223 please mark as brainliest
Answer:
2223
Step-by-step explanation:
its a simple math issue
Type the correct answer in each box. Use numerals instead of words. If necessary, use / fc
The degree of the function (x) = (x + 1)2(2x-3)(x+2) is
Reset
, and its y-intercept
Next
please answer this as quick as possible
Answer:
-18
Step-by-step explanation:
Hope This Helps :)
a study was conducted that resulted in the following relative frequency histogram. determine whether or not the histogram indicates that a normal distribution could be used as a model for the variable.
If the bars of a histogram roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.
What is Histogram?Histogram a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.
Given is relative frequency histogram.
The histogram is not given, so will discussion the property that tells whether the histogram indicates a normal distribution or not.If the bars roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.Therefore, if the bars of a histogram roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.
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a researcher wants to know the average growth of a certain plant one week after germination. The greenhouse where he grows plants has 12 trays with 36 plants in each tray l. He picks one tray from the greenhouse and measures the heights of each plant. The results are shown in the dot plot.
When analyzing the data, he sees that the heights of the plants are clustered around in 2 in. Could this be the result of bias in his sampling method? Explain.
Answer:
Sampling bias can occur when the procedure leads to a favoring of one population over another.
When the researcher wants to know on average how a certain plant will grow; given that they have been germinated for a week's time. By oy using a certain plant, assuming t
Answer:
Yes, he sampled plants from only one tray, so the sample is not random.
What is the perimeter of this rectangle?
(x, y2)
(X, Y)
(x, y)
(X2, X, )
Given
Rectangle
Find
Perimeter of this rectangle
Explanation
First we will find the sides of given rectangle by using distance formula
\(\begin{gathered} AB=\sqrt{(x_2-x_1)^2+\left(y_2-y_2\right)^2}=(x_2-x_1) \\ BC=\sqrt{(x_2-x_2)^2+(y_1-y_2)^2}=(y_1-y_2) \\ CD=\sqrt{(x_2-x_1)^2+(y_1-y_1)^2}=(x_2-x_1) \\ DA=\sqrt{(x_1-x_1)^2+(y_1-y_2)^2}=(y_1-y_2) \end{gathered}\)so, the perimeter =
\(\begin{gathered} x_2-x_1+y_1-y_2+x_2-x_1+y_1-y_2 \\ 2(x_2-x_1+y_1-y_2) \end{gathered}\)Final ANswer
the perimeter of this rectangle =
\(2(x_2-x_1+y_1-y_2)\)
The absolute value of some number x is 17, and the number y is 23. How much is
sum x + y? How many different results do you get?
Answer:
we get only one solution that is 23 + 17 = 40
Hope it helps
Ms.Morton paid $47.20 for 40 books. At this rate,how much would it cost Ms.Morton to buy 55 books?
There are 221 6th graders in the HPS district that are going on field trip to the Detroit Institute of Arts when we get back to school. If each bus holds 46 students, how many buses should be hierd to transport us?
Students = 221
Each bus holds 46 students
Divide the total number of students (221) by the capacity of each bus (46 )
221 /46 = 4.8 = 5 buses
The value of 8 is between which two integers?
2 and 3
3 and 4
07 and 9
49 and 81
Answer:
2 and 3
Step-by-step explanation:
The square root of 8 is 2.82842712475
203,199,195 find the 35th term
Answer:
67
Step-by-step explanation:
The given arithmetic sequence is,
203, 199, 195,......
In the sequence, the first time a = 203,
And common difference of the sequence d = -4
Formula for nth term of the sequence,
aₙ = a + (n-1) . d
To find 35th term of the sequence, substitute n= 35,
a₃₅ = 203 + (35-1).(-4)
= 203 + 34x-4
= 203 - 136
= 67
©Thank You
Answered By Solution 49
Question Which of the following statements are equivalent to the statement "Not all cats do not like having their belly rubbed"?
Problem 3.24 ffective interest rate and PR entire compounain Ans: a. 6.66% Aruna invested Rs 150,000 eighteen months ago. Currently, the investment is worth Rs 168,925. Aruna knows the investment has paid interest every three months, but she does not know what the yield on her investment is. Compute both annual percentage rate (APR) and the effective annual rate of interest on her investment. Ans: 8%; 8.24% arehouse To finance the purchase you have
Answer:To calculate the annual percentage rate (APR) and effective annual rate of interest on Aruna's investment, we can use the following formula:
APR = (FV/PV)^(1/n) - 1
Where FV is the Future Value, PV is the Present Value, and n is the number of periods.
In this case, FV = 168,925, PV = 150,000, and n = 1.5 (since the investment was held for 18 months).
Therefore, the APR = (168,925/150,000)^(1/1.5) - 1
APR = 6.66%
The effective annual rate of interest (EAR) can be calculated using the following formula:
EAR = (1 + APR/m)^m - 1
Where m is the number of compounding periods in one year.
In this case, m = 4 (since interest is paid every 3 months).
Therefore, the EAR = (1 + 6.66%/4)^4 - 1
EAR = 8.24%
Part B
3√5+15√5
Part C
10√2-√3 x √2 x √3 x√3 x√3/
√2
Part B
3√5+15√5
= 3(√5)+15(√5)
= 18√5
Part C
10√2-√3 x √2 x √3 x√3 x√3/
√2
= 10√2 - √3 x 2√3 x 3√3 / √2
= 10√2 - 6√3
= 4√2
It takes 27N of work to push a crate up a ramp to a dock. The ramp is 3 meters long. How much force is necessary?
PLEASE HELP
Answer:
Solution:
Given,
Work = 27 N
Displacement = 3 m
According to question,
Force = ?
As we know,
Work = Force × Displacement
or, 27 = Force × 3
or, Force = 27/3
i.e, Force = 9 N
I need help with my math
we get that the equation is
\(y-9=-9(x-8)=-9x+72\rightarrow y=-9x+81\)y=-9x+81
An individual is baking 3 batches of cookies. They used 1.8 oz. of vanilla in one batch of the cookies, 1.25 oz. of vanilla in the second batch and .95 oz. in the third batch. Convert these decimals into fractions, and then put them in ascending order.
Answer:
19/20 , 1 1/4 , 1 4/5
Step-by-step explanation:
1.8 = 1 4/5 (fraction)
1.8 converts to 18/10. This can be simplified twice, firstly by making it 9/5 since both 18 and 10 are divisible by two, but can be simplified further to 1 4/5
1.25 = 1 1/4 (fraction)
1.25 converts to 125/100. This can be simplified to 5/4 or 1 1/4
0.95 = 19/20 (fraction)
0.95 converts to 95/100. This can be simplified to 19/20
Ascending Order (smallest to largest)
smallest - 19/20
middle - 1 1/4
largest - 1 4/5
I believe this is the right answer, but haven't done fractions in a while so may want to double check to make sure
Suppose f , g , h , and j are functions such that: f ( r ) represents the circumference (in cm) of a circle whose radius is r cm. g ( C ) represents the radius (in cm) of a circle whose circumference is C cm. h ( r ) represents the area (in cm2) of a circle whose radius is r cm. j ( A ) represents the radius (in cm) of a circle whose area is A cm2.
a. Use function notation to represent the area of a circle whose circumference is 133 cm.
b. Use function notation to represent the circumference of a circle whose area is 6.82 cm^2
Answer:
(a)h(g(133))
(b)f(j(6.82))
Step-by-step explanation:
(a)Area of a circle whose circumference is 133 cm.
Since g(C) represents the radius (in cm) of a circle whose circumference is C cm.
The radius of the circle whose circumference is 133 cm = g(133)h(r) represents the area \((in$ cm^2)\) of a circle whose radius is r cm.
Area, h(r) =h(g(133))Therefore, the area of a circle whose circumference is 133 cm is:
h(g(133))
(b)Circumference of a circle whose area is \(6.82 cm^2\)
j(A) represents the radius (in cm) of a circle whose area is A \(cm^2\).
The radius of the circle of area \(6.82 cm^2\) = j(6.82)f(r) represents the circumference (in cm) of a circle whose radius is r cm.
Therefore:
Circumference, f(r) = f(j(6.82))The circumference of a circle whose area is \(6.82 cm^2\) =f(j(6.82))
Consider the weighted voting system [20: 9,7,5,3,1] Find the weight of the coaltion P1,P2,P3
The weight of the coalition P1, P2, P3 is 36
How to determine the weight coalitionFrom the question, we have the following parameters that can be used in our computation:
weighted voting system [20: 9,7,5,3,1]
The variable P1, P2 and P3 are the first three values
So, we have
P1 = 20
P2 = 9
P3 = 7
The weight of the coalition P1, P2, P3 is the sum of the points
So, we have
Coalition = 20 + 9 + 7
Coalition = 36
Hence, the weight coalition is 36
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Due today please help
And also explain
Answer:
Step-by-step explanation:
Question 8 of 10
How does the graph of f (x) = 3 (4)2-5 + 3 relate to its parent function?
A. The parent function has been 'stretched.
B. The parent function has been translated to the right.
C. The parent function has been translated up.
D. The parent function has been compressed.
Answer:
The correct answer is D. The graph of f(x) = 3(4)² - 5 + 3 is a transformation of the parent function. The parent function is y = x², which is a simple quadratic function.
In the given equation, the number 4 inside the parentheses represents a horizontal compression or shrink of the graph. The factor of 3 outside the parentheses represents a vertical stretch or expansion. The constant term -5 represents a vertical translation down by 5 units, and the constant term 3 represents a vertical translation up by 3 units.
Therefore, the graph of f(x) = 3(4)² - 5 + 3 is a compressed version of the parent function y = x², shifted down by 5 units and then shifted up by 3 units.
A man pulled a cart filled with stones that had a total mass of 60 kg.
He increased the amount of force used to pull the cart from 60 N to 90 N, what is the new
acceleration of the cart?
The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²
What is Force ?The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.
Formula of force,
F = ma
Given that,
A man pulled a cart filled with stones that had a total mass of 60 kg
He increased the amount of force used to pull the cart from 60 N to 90 N
New acceleration of cart = ?
F = ma
Old acceleration,
60 = 60a
a = 1 m/s²
New acceleration,
90 = 60a
a = 90/60
a = 3/2
a = 1.5 m/s²
Hence, the new acceleration is 1.5 m/s²
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