Answer:
hope it helps my dear friend.
Step-by-step explanation:
Answer-
We have,
l=600 m and b=450 m
We know that the area of rectangle
=l×b
Therefore,
=600×450
=270000 m2
Hence, this is the answer.
Answer:
=270000 m2 is your correct answer
20 POINTS!!!
A researcher randomly surveyed 1,477 farmers to determine the geographical region in which they farm and the types of crops that grow there. The two-way table displays the data.
Suppose a farmer from this survey is chosen at random. Let M = farmer lives in the Midwest and V = farmer grows vegetables. What is the value of P(V|M)?
A) 251/72
B) 168/437
C) 723/1477
D) 251/365
Answer:
the answer is 251/723
Step-by-step explanation:
just took the test and also its asking for the (midwest farmer vegetables) so youd look at midwest and find the vegetable row and it would be 251 then since its asking for only vegetables you'd go across the row and locate the total vegetables which is 723. THE A OPTION IS MISTYPED ITS 251/723.
The value of P(V|M) is 251/365.
The correct answer is option (D)
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes,
n(S) is the total number of events in the sample space.
What is conditional probability?"It is the probability of an event occurring given that another event has already occurred."
Formula for conditional probability:The probability of event A occurring given that event B has already occurred is,
P(A|B) = P(A ∩ B)/P(B)
where, P(A ∩ B) the joint probability of events A and B
For given example,
n(S) = 1477
Event M = farmer lives in the Midwest
⇒ n(M) = 365
So, the probability of farmer lives in the Midwest would be,
⇒ P(M) = n(M)/n(S)
⇒ P(M) = 365/1477
And event V = farmer grows vegetables.
⇒ n(V) = 723
The probability of farmer grows vegetable would be,
⇒ P(V) = n(V)/n(S)
⇒ P(V) = 723/1477
The number of farmers who grows vegetables and lives in the Midwest are,
n(A ∩ B) = 251
So, the probability that the farmers grow vegetables and live in the Midwest would,
⇒ P(M ∩ V) = n(A ∩ B)/n(S)
⇒ P(M ∩ V) = 251 / 1477
Now, we need to find P(V|M).
Using the formula of conditional probability,
⇒ P(V|M) = P(M ∩ V) / P(M)
⇒ P(V|M) = (251/1477) / (365/1477)
⇒ P(V|M) = 251/365
The correct answer is option (D)
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A local candidate believes more than half of the constituents in their district would favor them for political office. A random sample of 120 voters was polled, and 65 stated they would likely vote for the candidate. Which hypotheses would test the candidate’s claim?
H 0: p hat = 0.54, H alpha: p hat greater-than 0.54
H 0: p = 0.50, H alpha: p less-than 0.50
H 0: p = 0.54, H alpha: p greater-than 0.54
H 0: p = 0.50, H alpha: p greater-than 0.50
Answer:
The answer is D.
Step-by-step explanation:
H(o): p=0.50, H(a): p greater than 0.50
(sorry couldn't type of the greater than sign symbol)
The z-score is calculated and the appropriate hypotheses to test the candidate's claim are H0: p ≤ 0.5 and Ha: p > 0.5
What is a z-score?The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.
The Z-score is calculated using the formula:
z = (x - μ)/σ
where z: standard score
x: observed value
μ: mean of the sample
σ: standard deviation of the sample
Given data ,
A random sample of 120 voters was polled, and 65 stated they would likely vote for the candidate.
The null hypothesis assumes that the true proportion of constituents who favor the candidate is equal to or less than 0.5 (i.e., not more than half), while the alternative hypothesis assumes that the true proportion is greater than 0.5 (i.e., more than half).
The sample proportion of voters who stated they would likely vote for the candidate is:
q = 65/120 ≈ 0.542
To test the hypotheses, we can use a one-tailed z-test for proportions. The test statistic is:
So , the z-score is
z = ( q- p) / √[p(1-p) / n]
where p is the hypothesized proportion under the null hypothesis, and n is the sample size.
Using p = 0.5, we have:
z = (0.542 - 0.5) / √[(0.5)(1-0.5) / 120] ≈ 1.67
Hence , The appropriate hypotheses to test the candidate's claim are:
H0: p ≤ 0.5 (the null hypothesis)
Ha: p > 0.5 (the alternative hypothesis)
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Compute the height (in meters) of a cylinder with a radius of 2m and
volume 138 cubic meters. Round to the nearest meter.
Answer: 10.98 meters
Step-by-step explanation:
What is the measure of an exterior angle of a regular polygon with 12 sides?
30 degrees
360 degrees
60 degrees
120 degrees
Answer:
30
Step-by-step explanation:
You use the equation 180(n-2) to find the interior angle and 360/n to find the exterior angle
360/12 divide 360 by the number of sides
30
Find sin 0 a.8/15 b.8/17 c.15/8 d.15/17
Answer:
d.
Step-by-step explanation:
tan Ф = opp. / adj. = 15/8
hyp = √(8²+15²) = √289 = 17
sin Ф = opp./ hyp = 15/ 17
What function is shown by the graph
Answer:
B
Step-by-step explanation:
Y=3x. The slope is 3 6-(-6)/2-(-2) and the y intercept is 0.
Select the correct answer. Which graph represents this system of inequalities? y> X+ 3 ys 5x-1
Twelve synchronized swimmers are forming a circle. The locations of three of those swimmers are
(13,-2),(-1, -2), and (6,-9). A 44 swimmer will appear in the middle of the circle. Where would the
cente swimmer need to be located?
Answer:
The answer is (6,-2)
Step-by-step explanation:
I just took the test :)
Answer:
C (6,-2)
Step-by-step explanation:
Jeremiah buys lunch from the school cafeteria each day of school. He buys one slice of pizza and two bags of chips. The pizza costs p dollars and the chips cost c dollars. The expression 5(p + 2c) describes how much Jeremiah spends on school lunches for the week. What does 5 represent in this expression?
Answer:
5 repersents multiplycation of the numbers and varuable in the parenthaces
Step-by-step explanation:
I belive you are trying to find x so becuse the unknown varible P and C are in parethaces ( ) they would be added and multiplyed first so now we have 5 wich is outside the parenthaces and becuse theirs no sighns of addition or subtraction its multiplycation because its so close to another number or variable
Find the perimeter of a rectangle with a base of 12 ft and a height of 5 ft.
Answer:
P=34ft
Step-by-step explanation:
Solution
P=2(l+w)=2·(12+5)=34ft
An employer wants to determine the amount of job satisfaction experienced by his employees. Which sampling
method is most likely to result in undercoverage?
Answer:
C: Employees are assigned to one of four pay scales. Randomly select a pay scale and survey every employee in that pay scale
Step-by-step explanation:
Looking at the given options, the one that will likely result in undercoverage will be option C. This is because even after assigning employees to any of the 4 payscales, when randomly selecting for survey, he picked only one pay scale and surveyed every on there. Since he didn't include at least one person in the other pay scales, he will not have covered every pay scale which he will need to make a conclusion on job satisfaction experienced by his employees.
A system consists of two independent components in parallel. The system works if at least one of the components works. If each component works with probability 0.65, what is the probability that the system works
Answer:
The probability that the system works is 87.75%.
Step-by-step explanation:
Given that a system consists of two independent components in parallel, and the system works if at least one of the components works, if each component works with probability 0.65, to determine what is the probability that the system works the following calculation must be performed:
1 - 0.65 = 0.35
0.35 x 0.35 = X
0.1225 = X
1 - 0.1225 = 0.8775
Therefore, the probability that the system works is 87.75%.
A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from the base along the axis of symmetry and the opening is 20 feet across, how deep should the searchlight be?
Answer:
The searchlight should be 6.25ft deep
Step-by-step explanation:
Given
[tex]Across = 20ft[/tex]
[tex]Base = 4ft[/tex]
Required
The depth of the searchlight
[tex]Across = 20ft[/tex] implies that the search light span 10 units to either side of the x-axis
[tex]Base = 4ft[/tex] implies that the search light span 4 units to the y-axis
The attached image illustrates the revolution.
From the attached image, the endpoints of the searchlight is:
[tex](x,y) = \{(-10,4), (10,4)\}[/tex]
The depth (a) of the search light is calculated using:
[tex]x^2 = 4ay[/tex]
Make a the subject
[tex]a = \frac{x^2}{4y}[/tex]
Substitute -10 or 10 for x and 4 for y
[tex]a = \frac{(-10)^2}{4*4}[/tex]
[tex]a = \frac{100}{16}[/tex]
[tex]a = 6.25ft[/tex]
I’ll give 15 points please tell me thanks :))
Answer:
2
Step-by-step explanation:
1 , 3 and 4 have at least two pairs of parallel lines,
2 only have one pair of parallel line
(that's the only thing I can think of)
Find the slope and the y-intercept of the line. 6x + 3y = -3 Write your answers in simplest form
Answer:
[m] slope = -2
[b] y-intercept = -1 ; (0, -1)
[y = mx + b] slope-intercept = -2x – 1
Step-by-step explanation:
Given the algebraic equation 6x + 3y = -3 currently in standard form:
Ax + By = C →
By = C – Ax →
By = -Ax + C →
y = -Ax / B + C / B →
y = (-A / B)x + (C / B) →
y = mx + b →
m = -A / B. b = C / B.
6x + 3y = -3
↓ ↓ ↓
A = 6. B = 3. C = -3.
[Substitute]
m = -A / B. b = C / B
m = -(6) / (3). b = (-3) / (3)
↓ ↓
m = -2. b = -1.
↓. ↓
Slope = -2. y-intercept = -1.
_______________________
Slope is ∆y/∆x [change in y over the change in x] = y2 – y1 / x2 – x1.
The y-intercept is the point where x is 0.
The easiest way to determine this is to substitute 0 in for x in an equation and solve for y.
This means that the y intercept in coordinate form is (0, b).
A cube has an edge length of 9 meters. What is its volume, in cubic meters?
Answer:
The volume of the cube is of 729 cubic meters.
Step-by-step explanation:
Volume of a cube:
The volume of a cube with edge length a is given by:
[tex]V = a^3[/tex]
In this question:
The edge length is of 9 meters, so [tex]a = 9[/tex]. The volume, in cubic meters, is:
[tex]V = a^3 = 9^3 = 729[/tex]
The volume of the cube is of 729 cubic meters.
Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight-year life. What would be the present value of this loan if it carried a 10 percent interest rate?
Answer:
$919.98
Step-by-step explanation:
To solve using a financial calculator do
N=8
I/Y=10
PMT=85
FV=1000
CMPT PV get 919.98
To do by hand find the present value of the interst payments
85*(1-(1/1.1)^8)
which is 453.4687
Find the present value of the final ballon payment
1000*(1/1.1)^8
which is 466.507
take the sum
466.507+453.4678= 919.98
PLSSSSSSSSSSS ASAP!!!!! Find the area of the figure shown below.
Answer:
54 square ft
Step-by-step explanation:
Find missing sides:
8+6 = 14
9-6 = 3
Find area of full rectangle:
9×8 = 72
Find the area of the missing part of the full rectangle
3×6 = 18
Find the area of the actual shape:
72-18 = 54
Area = 54 square ft
1 × 1 + 8 1/10 + 2 × 1/100
Answer:
1.82
Step-by-step explanation:
1 × 1 + 8 × 0.1 + 2 × 0.01
1 + 0.8 + 0.02
1.8 + 0.02
1.82
Find the length of Arc YWV, if line XZ=12 meters. (Round to the nearest hundredth)
Answer:
53.62 m
Step-by-step explanation:
Length of arc = θ/360 × 2πr
r = XZ = 12 m
m<XYZ = 180 - 108 = 72° (angles on a straight line)
θ = 85° + 72° + 108° = 265°
Length of arc YWV = 256/360 × 2 × π × 12
= 53.6165146 ≈ 53.62 m (nearest hundredth)
the minute hans on the clock shown below has a length of 7.5 cm. which of the following is closest to the distance that the tip of the hand travels as it moves from 12 to 4
Answer:
16
Step-by-step explanation:
The following is closest to the distance that the tip of the hand travels as it moves from 12 to 4 should be considered as the 16 cm.
Calculation of the distance:
Since the minute hans on the clock shown below has a length of 7.5 cm
And, the tip of the hand travels as it moves from 12 to 4
So,
For full rotation it should be like [tex]2\pi[/tex] radians
Since angle turned by minute hand in 5 minutes so it should be like [tex]= 2\pi \div 12[/tex] radians
So
[tex]= 7.5 \times 2.094[/tex]
= 15.7 cm
Learn more about distance here: https://brainly.com/question/13448007
HELP ASAP I WILL MARK BRANLIEST!!!
This probability distribution shows the
number of times a group of people takes
selfies before liking them.
Retakes
o
1
2
3
4
Frequency
27
29
18
14
12
Using this distribution, find the probability that a
person will retake their sexfie exactly 3 times.
p = [?]
Answer:
0.14
Step-by-step explanation:
0.14 is the probability that a person will retake their sexfie exactly 3 times.
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.
Given
Total frequency = 27+29+18+14+12 = 100
frequency of 3 retakes = 14
p(r) = frequency of 3 retakes/ Total frequency
p(r) = 14/100 = 0.14
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Five friends are sharing 4 fruit bars. Each friend gets the same amount.
How much fruit bar does each friend get?
Answer:
4/5 of a fruit bar
Step-by-step explanation:
can someone please answer this asap
Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.
Step-by-step explanation:
The equation below describes a circle. What are the coordinates of the center
of the circle?
(x+ 5)2 + (y + 7)2 = 212
Answer:Center =(-5,-7)
Step-by-step explanation:
Charlotte has 30 beads. She has 8 more red beads than blue beads. Which equation represents this situation? Please help :(
Answer:
The second answer choice is right
Step-by-step explanation:
Find the volume of the cylinder. Round your answer to the nearest tenth.
Answer: 125.6 inches cubed.
Step-by-step explanation:
Formula for cylinder volume: Volume=(pi times radius cubed) times height
3.14 x 4(radius)=12.56
12.56 x 10 (height) = 125.6
Hope this helps
bob and bill are planning trips to 4 countries thid year, there are 6 countries they would like to visit they are deciding which countries to skip.
a.5
b.15
c.30
d.11
WILL GIVE BRAINLIEST! PLS HELP! A 6-sided die with sides numbered 1 through 6 is tossed. A penny is then tossed. If the penny comes up heads, the value of the die is multiplied by 2. Otherwise, the value of the die is left unchanged.
What is the probability that the outcome is less than 6?
Answer:
[tex]\frac{7}{12} = 0.5833[/tex] = 58.33% probability that the outcome is less than 6
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
For the penny there are two outcomes, and for the die there are 6. So 2*6 = 12 total outcomes.
If the penny is tails, there are 5 outcomes which are less than 6. If it is heads, as the value is multiplied by 2, only 2 values of the die(1 or 2) will be below 6 after being multiplied by 2. So 5 + 2 = 7 total outcomes
What is the probability that the outcome is less than 6?
[tex]p = \frac{7}{12} = 0.5833[/tex]
[tex]\frac{7}{12} = 0.5833[/tex] = 58.33% probability that the outcome is less than 6
helppp hurryyyy
i don’t understand it
