Padma cycled p km on Monday. She cycled 8 km less on Tuesday. What was the distance she cycled on Tuesday?
Distance cycled on Monday = p km
Distance cycled of Tuesday
= 8 km less than the distance cycled on Monday
= p km - 8 km
= (p - 8) km
So, distance cycled of Tuesday is (p - 8) km.
The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60. A random sample of 140 college graduates with Bachelor degrees found that 75 were women. The National Center for Education Statistics would like to set α = 0.10. The conclusion for this hypothesis test would be that because the absolute value of the test statistic is __________________________________.
This question involves the hypothesis test for the proportion. First we build the hypothesis, then find the test statistic, and according to the test statistic, we get the following answer:
The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.
-------------------------------------------------------------------
The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60
This means that at the null hypothesis, it is tested if the proportion is of 0.6, that is:
[tex]H_0: p = 0.6[/tex]
At the alternative hypothesis, we test if the proportion is different of 0.6, that is:
[tex]H_1: p \neq 0.6[/tex]
-------------------------------------------------------------------
Decision rule:
Two-tailed test(test if the proportion is different of a value), so we exclude the top and bottom 0.1/2 = 0.05, meaning that looking at the z-table, we find a critical value of [tex]|Z_c| = 1.645[/tex], and the decision rule is:
Accept the null hypothesis: [tex]|Z| < 1.645[/tex]
Reject the null hypothesis: [tex]|Z| > 1.645[/tex]
-------------------------------------------------------------------
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that [tex]\mu = 0.6, \sigma = 0.4[/tex]
75 out of a sample of 140:
This means that:
[tex]n = 140, \pi = \frac{75}{140} = 0.5357[/tex]
-------------------------------------------------------------------
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.5357 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{140}}}[/tex]
[tex]z = -1.55[/tex]
So |z| = 1.55
-------------------------------------------------------------------
Decision:
The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.
For a similar example, you can check https://brainly.com/question/24166849
if 1 box cost rs 45 find the cost of 9 boxes
Answer:
9 boxes cost Rs 405
Step-by-step explanation:
1 box costs 45.
so, how much are 2 boxes ? what do you think ?
right, twice as much : 2 × 45 = 90
how much are 3 boxes ?
now it is three times the cost of 1 box : 3 × 45 = 135
do you see the pattern ?
it is really simple.
that is also the origin why we describe a multiplication by "times". we take a single item so and so many times.
when you see something like this, you know, they are talking about multiplication.
so, here we want to know how much 9 boxes cost.
therefore,
9 × 45 = 405
is the answer.
find the value of a and b in each of the following diagrams.
Answer:
a=122
b=115
Step-by-step explanation:
We have a hexagon inscribed of a Circle. Let use some obvious properties to solve some of the angles.
The upper triangle that includes 112 and 30, have a missing angle. We can use triangle interior Theorem to find the missing third angle.
The missing angle is 38.
The upper trapezoid is a cyclic quadrilateral. It 4 vertices touched the circle circumference. This means the opposite angles of the trapezoids are supplementary.
The lower left angle of the upper trapezoid measure is 65. Part of that angle is 38 so the other part is
[tex]65 - 38 = 27[/tex]
Angle b forms a linear pair with the lower left angle so
[tex]b + 65 = 180[/tex]
[tex]b = 115[/tex]
Angle a is also a cyclic quadrilateral so
Angle a and 58 are supplementary
[tex]58 + a = 180[/tex]
[tex]a = 122[/tex]
Tony gets married next month. One year ago from the date he will get married, Tony was away in
Spain for New Year's Eve. What month is it?
Answer:
late January or early February
Step-by-step explanation:
On using logical reasoning, we deduce that this month is November.
What is logical reasoning?Logical reasoning comprises aptitude problems that need a logical level of examination to arrive at the right answer.
One year ago from the date he will get married, Tony was away in Spain for New Year's Eve.
This implies, One year ago from the date he will get married, Tony was away in Spain in month of December.
This implies, Tony will get married in month of December.
We know, Tony gets married next month. So, this month is November.
Learn more about logical reasoning here
https://brainly.com/question/2848937
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prove that.....cos^2α(cosec^2α-cot^2α)=cos^2α
Step-by-step explanation:
hope this helps. ........
In a group of 150 people, 120 like to play volleyball and 85 like to play football. If 25 like to play up of the games.
MAY BE THIS !!!!
HOPE IT'S HELPFUL FOR U MATE
The number of people who play both volleyball and football will be 80.
What are Sets?Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
In a group of 150 people, 120 like to play volleyball and 85 like to play football. If 25 like to play up of the games.
The number of people who play volleyball and/or football is calculated as,
A∪B = 150 - 25
A∪B = 125
The number of people who play both volleyball and football is calculated as,
A∩B = A + B - A∪B
A∩B = 120 + 85 - 125
A∩B = 80
The number of people who play both volleyball and football will be 80.
More about the sets link is given below.
https://brainly.com/question/8053622
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HELP ILL GIVE BRAINLIEST
Answer:
linear increasing
Step-by-step explanation:
For the section labeled B, the line goes up as x increases. This means the line is increasing
Answer:
Linear increasing
Step-by-step explanation:
The slope of interval B is constant since it's a straight line, which makes it linear. The line in interval B is pointing upward so it's increasing.
A poll of a registered voters is a small town is taken to determine their preferences in the national Presidential election. The results are then used to estimate the national vote. This sample is _______.
A. impartial
B. not representative
C. representative
D. unbiased
circle experts...help! will give brainly to most detailed answer
=========================================================
Explanation:
Line AE is a tangent while line AU is a secant. The angle formed by the secant and tangent lines connects with the arcs through this formula
secant tangent angle = (larger arc - smaller arc)/2
More specifically, we can say:
angle EAI = (arc EU - arc IE)/2
42 = ( (7m+5) - (3m-1) )/2
42*2 = (7m+5) - (3m-1)
84 = 7m+5 - 3m+1
84 = 4m+6
4m+6 = 84
4m = 84-6
4m = 78
m = 78/4
m = 39/2
m = 19.5
Use this value of m to compute each arc
arc IE = 3m-1 = 3*19.5-1 = 57.5 degreesarc EU = 7m+5 = 7*19.5+5 = 141.5 degreesLet's say arc IU is some unknown number x. It must add to the other two arc measures to form 360 degrees, which is a full circle.
(arc IU) + (arc IE) + (arc EU) = 360
x + 57.5 + 141.5 = 360
x + 199 = 360
x = 360-199
x = 161
The measure of minor arc IU is 161 degrees
Answer:
IU = 161
Step-by-step explanation:
Angle Formed by Two Secants= 1/2 (difference of Intercepted Arcs)
42 = 1/2 (7m+5 - (3m-1))
Distribute the minus sign
42 = 1/2 (7m+5 - 3m+1))
Combine like terms
42 = 1/2 ( 4m+6)
Distribute the 1/2
42 = 2m+3
Subtract 3 from each side
42-3 = 2m+3-3
39 = 2m
Divide by 2
19.5 = m
The sum of the arcs = 360
IU+ 3m-1 + 7m+5 = 360
IU +10m+4 = 360
IU +10(19.5) +4 = 360
IU +195+4 = 360
IU = 360 - 199
IU=161
Find the values of x and y if (-x + 5, 1) = (-y, 2x - 5y).
Answer:
x = 8, y = 3
Step-by-step explanation:
Equating corresponding x and y coordinates , then
- y = - x + 5 ( multiply through by - 1 )
y = x - 5 → (1)
2x - 5y = 1 → (2)
Substitute y = x - 5 into (2)
2x - 5(x - 5) = 1 ← distribute and simplify left side
2x - 5x + 25 = 1
- 3x + 25 = 1 ( subtract 25 from both sides )
- 3x = - 24 ( divide both sides by - 3 )
x = 8
Substitute x = 8 into (1) for corresponding value of y
y = 8 - 5 = 3
if a 27% is a sale profit , how much profit is in the sale of $4650?
pls explain if u can. thanks!!
please help, i really dont understand. will give brainliest.
At Sarah's cafe, customers can choose one of the following entrees: burrito, pasta, soup or taco. They can also order a side dish. They have a choice of french fries, salad, potato salad or coleslaw. Finally customers get to choose one of the following drinks and a choice of soda, coffee, water, milk or juice.
For dinner, the cafe offers diners a special, customers can order 2 sides with their entree. In how many different ways can dinner be ordered?
*The answer is not 120 btw*
Answer:
I've done the math and it's 120, people say it's 120 and online 120, I really wanna help but I just
Please apply the properties of rational exponents to simplify expressions with radical or rational exponents. Explain the steps so that I understand because this is for my notes. Thank you for your time, the properties and problems to apply them to will be below.
Step-by-step explanation:
Product property
If the bases are the same, you don't multiple them. However, if they are the same, you do multiple for example : (2³ * 2¹ = 2⁴.when the bases are the same) (2³ * 3¹ =6⁴. When the bases are not the sameWe add the index.Quotient property
Same here, if the bases are the same, they stay the way they wereWe subtract the indexPower property
Here we multiple the index because of the bracket for example : (9²)²= 9⁴Negetive exponent property
When ever the index has a negative sign its convected to a fraction, for instance : 9¯² = 1 /9²Note, when it turns to a fraction th index becomes positiveDetermine algebraically whether the function is even, odd, or neither even nor odd.
A. Neither
B. Even
C. Odd
9514 1404 393
Answer:
B. even
Step-by-step explanation:
Functions are classed according to what happens when x is replaced by -x.
f(-x) = f(x) . . . even
f(-x) = -f(x) . . . odd
__
Here, we have ...
f(-x) = 2/(-x)^2 = 2/x^2 = f(x) . . . . an even function
Mrs. Clayton was buying treats for her children. She bought $12 worth of cinnamon
rolls, $9 worth of candy, $8 worth of cookies, and $10 worth of pretzels. Estimate
the total amount of money Mrs. Clayton spent.
Answer:
Estimate,... about 40
Step-by-step explanation:
12 + 9 + 8 + 10 = 39
Question is attached
Answer:
Let v = ml of 100% vinegar
Then 150-v = ml of dressing
v + .05(150-v) = .24(150)
v + 7.5 - .05v = 36
.95v = 28.5
v = 28.5/.95
v = 30 ml of vinegar
dressing = 150-30 = 120 ml
Step-by-step explanation:
I have underlined the volume of water needed (left) and the volume of chemicals needed (right). How much of the chemical would I need if I used 16 oz. of water?
!20 Point! Please help me find the surface area!
PLEASE, forgive me but I answered this and hopefully what I see is correct. I’m really sorry if this weren’t the real measurements!
Answer:
192 square inches
Step-by-step explanation:
Surface area questions often include the net for easy answering. All you do is just find the area of each face and add them all up:
As you can see, all triangles in this net of a pyramid are the same, so once we find the area of one triangle, we’ll just multiply by 4:
FIND AREA OF ONE TRIANGLE (1/2 x b x h)
1/2 x 8 x 12 = 48 square inches
MULTIPLY BY 4 for SURFACE AREA:
48 x 4 = 192
so the SA is 192 square inches!
brainliest?
Answer:
The base is 12 the height is 8.
Using the formula of finding the area of a triangle: BH x 1/2
8 x 12 x 1/2 = 48 Area of one triangle.
Since there are 4 equilateral triangles we multiply the area of one triangle 4 times since they are all equal.
48 x 4 = 192 in2 is your surface area
(haven't done this in quite a while so make sure to check other answers for more reassurance)
if U={1,2,3,4,5,6,7,8},A={1,2,3,4},B={3,4,5,6,7}.find(AUB)'
Answer:
12345678910
iya lina beb
HELP ME PLEASE.
find the perimeter, area , and T.S.A of the following solids
Answer:
area =l×b
perimeter=add all the sides
3 solids
How tall is a stack of cube-shaped blocks whose volumes are 375 in3, 648 in3 and 1,029 in3? Round your answer to the nearest tenth. Hint: Volume = s3
Answer:
Step-by-step explanation:
Solve for x: -5 < 8x + 11 < 19
Answer:
-2<x<1
Step-by-step explanation:
-5 < 8x + 11 < 19
Subtract 11 from all sides
-5-11 < 8x + 11-11 < 19-11
-16 < 8x<8
Divide by 8
-16/8 < 8x/8 <8/8
-2<x<1
pls help me asap !!!!!
Find the measure of a. A. 110 B. 125 C. 55 D. 75
if x =2209 and y = 441 then the square root of their product is equal to
heeeellllp...
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...
...
...
...
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Answer:
didn't shade all of them
Identify a transformation of the function f(x) = x2 by observing the equation of the function g(x) = (x - 1)
Answer:
2nd option
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Here g(x) = (x - 1)²
The base graph f(x) has been shifted right 1 unit
solve the equation 2x+1=x-3
How to solve your problem
Topics: Algebra, Quadratic Equation
2
+
1
=
−
3
2x+1=x-3
2x+1=x−3
Solve
1
Subtract
1
1
1
from both sides of the equation
2
+
1
=
−
3
2x+1=x-3
2x+1=x−3
2
+
1
−
1
=
−
3
−
1
2x+1{\color{#c92786}{-1}}=x-3{\color{#c92786}{-1}}
2x+1−1=x−3−1
2
Simplify
Subtract the numbers
Subtract the numbers
2
=
−
4
2x=x-4
2x=x−4
3
Subtract
x
x
from both sides of the equation
2
=
−
4
2x=x-4
2x=x−4
2
−
=
−
4
−
2x{\color{#c92786}{-x}}=x-4{\color{#c92786}{-x}}
2x−x=x−4−x
4
Simplify
Combine like terms
Multiply by 1
Combine like terms
=
−
4
x=-4
x=−4
Solution
=
−
4
Could you help me???
It’s year8 maths
Answer:
go on doubtnut app