Answer:
the correct answer is a
The correlation between the ages of husbands and wives if men always married woman who were :
(a) 3 years younger than themselves
Correlation occurs as two variables or factors are related, and therefore the change in one variable affects another. In the situation presented there are 2 variables: According to our constitution, the legal age of men is 21 years and 18 years for women is 18 years.So according to the question the correlation between the ages of husbands and wives if men always married woman who will always be 3 years younger than themselves.Therefore, the correct answer is a.
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A man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?
1) His plane speed equals ______ mph
2) The wind speed equals ______ mph
Answer:
1.) 120 mph
2.) 30 mph
Step-by-step explanation:
Given that a man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?
Let the wind speed = w
and the plane speed = p
From the first sentence,
P - w = 180/ 2
P - w = 90 ....... ( 1 )
From the second statement,
P + w = 180/1.2
P+ w = 150 ...... ( 2 )
Solve equation 1 and 2 simultaneously
P + w = 150
P - w = 90
Add the two equations
2P = 240
P = 120 mph
Substitute p in equation 1
W = 150 - 120
W = 30
Therefore, the wind speed is 30 mph and the plane speed is 120 mph
Brainliest if answer
Answer:
a. 3:4
b. 1:1.3
What are the measures of jK andKIJ?
Measure of jk =
Measure ofKIJ=
116°
70°
ANWSER
JK=104°
KIJ=52
Answer:
JK=104°
KIJ=52
Step-by-step explanation:
The measures of the arc JK and angle KIJ of the given inscribed triangle are; Arc JK = 104° and ∠KIJ = 52°
What is the measure of the angles?
We have been given the arc KI = 116°, so we can find the angle KJI by intercept property.
Angle KJI = arc KI/ 2
Thus;
Angle KJI = 116°/2
Angle KJI = 58°
Now by angle sum property of a triangle, we get:
∠ K + ∠ I + ∠ J = 180°
70° + ∠I + 58° = 180°
∠I = 52°
By using intercept formula, we get arc KJ;
∠JIK = arc JK/ 2
2(∠ JIK) = arc JK
2(52°) = arc JK
arc JK = 104°
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CAN SOMEONE HELP ME WITH THIS
Suppose your top drawer contains different colored socks: 14 are white, 4 are black, 12 are pink, and 8 are blue. All socks in the drawer are loose (unpaired). In the morning, you randomly select two socks, one at a time. Calculate the following probabilities, writing your answer either as a decimal or a fraction. (a) What is the probability that you do not get a blue pair of socks?
Answer:
8/38
Step-by-step explanation:
38 - total
8 - blue
Now I need thissss pls
The 5-gallon bucket of paint that Kenzie bought from the hardware store weighs 55 pounds. CJ is buying 1 gallon of paint.
How many pounds does 1 gallon of paint weigh?
Answer:
n
Step-by-step explanation:
what is √ − 3 ⋅ √ − 27 =
We are given the expression:
√-3 * √-27
__________________________________________________________
Explaining the concept:
We know that:
√ab = √a * √b
Using this concept, we will simplify the given expression and solve it
__________________________________________________________
Simplifying the expression:
√-3 * √-27
√(-1*3) * √[(-1)*(3)(3)(3)]
√-1 * √3 * √-1 * √3 * √3 * √3
(√-1 * √-1) * (√3 * √3 * √3 * √3)
(√-1)² * (√3)² * (√3)²
-1 * 3 * 3
-9
Hence, after simplifying the given expression, we get -9
PLEASE HELP IM GOING TO FAIL!!!
Answer:
D.
Step-by-step explanation:
the slope is going up 1 over 2 and the 1 is the y....hope this helps.
2х + y = 4
у = 3х – 1
its 2 because 2plus is 2
5.
3x3 + 2y2 - xy for x = 2 and y = 3
Answer:
21
Step-by-step explanation:
What is the missing number?"
IN
OUT
1
2
2
3
3
4
4
5
5
6
7
Need help Pronto! Will give braintliest.
Answer:
b
Step-by-step explanation:
I started off with 430 Euros in an account, and I get an interest rate of 0.6% each year. How many Euros will be in my account after 15 years?
HELP PLEASE!! Two lines are drawn in the same plane.
Under what condition are the lines
perpendicular?
A two lines that never intersect
B. two lines that intersect and form right angles
C. two lines that intersect and form acute angles
D. two lines that intersect at more than one point
Answer:it is c or b
Step-by-step explanation:
The condition for the lines to be perpendicular will be two lines that intersect and form right angles. Then the correct option is B.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Two lines are drawn in the same plane.
If the two lines intersect then the angle between the line is 90 degrees.
The condition for the lines to be perpendicular will be two lines that intersect and form right angles.
Then the correct option is B.
The graph is given below.
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(x+0)(x-3)(x+0)(x+5)
Answer:
x^2 + 2x - 15
Step-by-step explanation:
(x-3)(x+5) = x^2 + 2x - 15
hope this helps, pls mark brainliest :D
Approximately 15% of Americans have a blood type of B. The local blood bank has 80 donors stop by on a given day (which can be considered a random sample from the population). What is the probability that between 15% and 20% of the donors on a given day have a blood type of B?
Answer: the probability that between 15% and 20% of the donors on a given day have a blood type of B is 0.3944
Step-by-step explanation:
Given that;
Binomial Distribution
n = 80
p = 0.15
q = 1 - p = 0.85
Mean = μ = np = 80 X 0.15 = 12
SD = σ = √(npq) = √(80 x 0.15 x 0.85) = -3.1937
Now; Assumptions in normal distribution to binomial distribution
- The sample size = n = 80 > 30 . Large sample
- np = 80 × 0.15 = 12 > 10
- nq = 80 × 0.85 = 68 > 10
so
80 × 0.15 = 12
80 × 0.20 = 16
To find P(12 < X < 16):
Z = (16 - 12) / 3.1937
= 4 / 3.1937
= 1.2525
Table of Area Under Standard Normal Curve gives area = 0.3944
Therefore the probability that between 15% and 20% of the donors on a given day have a blood type of B is 0.3944
Chaston began making regular deposits of a certain amount of money each month, m, starting November 1st. The function F(m) = 25 m + 200 models the amount of money in his account after he started saving money. Assuming Chaston made no purchases from the account after November 1st, which of the following is NOT true?
A) Chaston made monthly deposits of 25 dollars per month
B) 2 months after he started saving Chaston would have $250 in his account
C) After 25 months of saving Chaston had $200 in his account
D) Chaston initially had $200 in his account before he began making regular monthly deposits
Answer:
c because 200 is the initial amount. He would have more than 200.
Student tickets cost $6.25 each at a local movie theater. Which proportion could be used to find the number of student tickets, t, that could be purchased with a $25 gift card?
Answer:
4
Step-by-step explanation:
bc I got jt right
I need this ASAP and please show work
Answer:
B= 168
G=56
Step-by-step explanation:
3x+x= 224
4x=224
x=56
3x56=168
Find the value of X, then find AB and DC.
(opposite sides are congruent)
AB= 3x+8
DC= x+12
Answer:
X=2, AB=14, DC=14
Step-by-step explanation:
3x+8=x+12
Subtract x from both sides
2x+8=12
Subtract 8 from both sides
2x=4
Divide by 2 on the sides
Answer: x=2
Then replace the x's with (2) and multiply
3(2)+8 and (2)+12
Answer:
Both AB and DC are equal to 14.
Step-by-step explanation:
Need help ASAP !!!The measures of the angles of a triangle are shown in figure below.Solve for x.
Answer:
x=11
Step-by-step explanation:
your equation would be
4x+7+39+90=180
136+4x=180
4x=44
Tricia has $37.25 in her account. Which shows the amount she will have left after she writes a check for $23.99?
A. $12.36
B. $12.74
C. $13.26
D. $13.74
The amount she will have left after writing a check for $23.99 is $13.26. The correct answer would be an option (C).
What is the Subtraction operation?Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
Tricia has $37.25 in her account, if she writes a check for $23.99, to find the amount left after that we need to subtract the check amount from her initial amount.
⇒ initial amount - check amount
⇒ $37.25 - $23.99
Apply the subtraction operations, and we get
⇒ $13.26
Therefore, the amount she will have left after writing a check for $23.99 is $13.26.
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Suppose that Algeria has a workforce of 9,416,534, each of whom earns an average annual salary of (equivalent US dollars) $6,844. If the Algerian government wishes to raise $9 billion in tax revenue, approximately where should it set the income tax rate?
a.
9%
b.
14%
c.
18%
d.
26%
Answer:
its B on e2020
Step-by-step explanation:
14%
If the Algerian government wishes to raise $9 billion in tax revenue, income tax rate should be 14%.
What should the income tax rate be?
Income tax is a form of tax levied on the income of labor by the government. Income tax reduces the income earned by labor.
In order to determine the income tax rate, take the following steps:
Determine the total income of the workforce: 9,416,534 x $6,844 = 64.45 billion
Now, divide the desired tax revenue by the total income: (9 billion / 64.45 billion) x 100 = 14%
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How many solutions does the equation y=-7x+3 and y+7x=10 have
Answer:
Step-by-step explanation:
y=-7x+3
y+7x=3
y+7x=10
no solution.
Help please! This has to do with the Pythagorean theorem.
Proportions 6. A certain salsa is made with 6 parts tomato and 2 parts bell pepper. How many cups of tomato should be combined with 1.5 cups bell pepper? Write a proportion, then solve.
Answer:
4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.
Step-by-step explanation:
Given that the salsa is made with 6 parts tomato and 2 parts bell pepper.
Let t be tomatoes and b be bell peppers
The proportion will be:
t:b
The ratio of tomatoes to bell pepper will be:
6:2
This ratio simplifies to 3:1
This means no matter how much more the tomatoes and peppers are, the simplified ratio will be same.
Now the bell peppers are 1.5 cups then the proportion will be:
[tex]t:b::t:b\\6:2::t:1.5\\\frac{6}{2} = \frac{t}{1.5}\\3 = \frac{t}{1.5}\\t = 1.5 * 3\\t =4.5[/tex]
Hence,
4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.
Fill in the blank to find the y-intercept of-x+2y=10
. Beth is making gingerbread men. She uses 2 raisins for eyes and 3 raisins for buttons for each gingerbread man. She buys 4 boxes of raisins, each with 120 raisins in it. How many dozens of gingerbread men can she make
The number of gingerbreads that Beth can be made from 4 boxes of raisins is 8 dozens.
What is Proportion?Proportions are mathematical statements where two or more ratios are made to be equivalent to each other.
Number of raisins Beth uses for one gingerbread man = 2 raisins for eyes and 3 raisins for buttons.
Number of raisins used for 1 gingerbread man = 2 + 3 = 5 raisins
Beth buys 4 boxes of raisins, each with 120 raisins in it.
Total number of raisins Beth bought = 4 × 120 = 480 raisins
So, 1 gingerbread can be made from 5 raisins.
Let x be the number of gingerbreads made from 480 raisins.
Using proportion,
1 : 5 = x : 480
1 / 5 = x / 480
Applying cross multiplication,
5x = 480
x = 480 / 5
x = 96
96 gingerbreads or 96/12 = 8 dozens of gingerbread can be made.
Hence 8 dozens of gingerbreads can be made from 4 boxes of raisins.
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Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Harrison Haulers Plant. Abel knows that absenteeism varies significantly between departments. For example, workers in the wood shop are absent more than those in the tuning department and the size of the departments ranges from 40 to 120 workers. He orders a random sample of 10 workers from each of the six departments. Abel's sample is a
Answer:
disproportionate stratified sample
Step-by-step explanation:
Based on the given information we can say that Abel's sample is a disproportionate stratified sample. This is the case mainly because the department worker population ranges from 40 to 120 workers. This changing population makes the 10 workers that were chosen for the sample not proportionate to the entire population. Therefore, under different population sizes workers have different chances of getting selected for the study which ultimately creates different results.
