DO IT ASAP ONLY 3 PROBLEMS Please find x thanks!!! (There’s a link)
1.) x = 3.5
2.) x = -40
3.) x = -10
1. (5pt) In a recent New York City marathon, 25,221 men finished and 253 dropped out. Also,
12,883 women finished and 163 dropped out. We want to use a 0.01 significance level to test
the claim that the rate of those who finish is the same for men and women.
a) Test the claim using a hypothesis test (identify the null hypothesis, alternative hypothesis,
test statistic, critical value (or P-value) and conclusion)
b) Test the claim by constructing an appropriate confidence interval.
Answer:
(a) Explained below.
(b) The 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).
Step-by-step explanation:
The information provided is:
n (Men who finished the marathon) = 25,221
n (Women who finished the marathon) = 12,883
Compute the proportion of men and women who finished the marathon as follows:
[tex]\hat p_{1}=\frac{25221}{25221 +253}=0.99\\\\\hat p_{2}=\frac{12883 }{12883+163}=0.988[/tex]
The combined proportion is:
[tex]\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}\\\\=\frac{25221+12883}{38520}\\\\=0.989[/tex]
(a)
The hypothesis is:
H₀: The rate of those who finish the marathon is the same for men and women, i.e. p₁ - p₂ = 0.
Hₐ: The rate of those who finish the marathon is not same for men and women, i.e. p₁ - p₂ ≠ 0.
Compute the test statistic as follows:
[tex]Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)\cdot [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]
[tex]=\frac{0.99-0.988}{\sqrt{0.989(1-0.989)\times[\frac{1}{25474}+\frac{1}{13046}]}}\\\\=1.78[/tex]
Compute the p-value as follows:
[tex]p-value=2\times P(Z>1.78)\\\\=2\times 0.03754\\\\=0.07508\\\\\approx 0.075[/tex]
The p-value of the test is more than the significance level. The null hypothesis was failed to be rejected.
Thus, concluding that the rate of those who finish is the same for men and women.
(b)
Compute the 99% confidence interval for the difference between proportions as follows:
The critical value of z for 99% confidence level is 2.58.
[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}[/tex]
[tex]=(0.99-0.988)\pm 2.58\times\sqrt{\frac{0.99(1-0.99)}{25474}+\frac{0.988(1-0.988)}{13046}}\\\\=0.002\pm 0.00294\\\\=(-0.00094, 0.00494)\\\\[/tex]
Thu, the 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).
I beg you to help me .
Answer:
16+3=y
y=19
Step-by-step explanation:
Is anyone good at writing? If you are plz help me with the question below.
How would you describe Betty's actions during the black blizzard? What does it reveal about Betty? This has to be 1 paragraph or less.
Answer:
Could you add a photo of the story being referred to the question? That would help
Step-by-step explanation:
Answer:
Betty was courageous and fearless in rescuing the colt, Fancifoot from the dust storm and in calming little Mary Ann. She cared less if you would be injured or blown away by the dust storm. Her actions revealed her love and care for the colt It also revealed her courage, determination, fearlessness and care.
Step-by-step explanation:
Maurine V. Elder, in this short story reveals the experiences of people who lived through the Dust Bowl. The Dust Bowl is a period of intense dust storms which occurred during the 1930s in parts of Kansas, Oklahoma, Colorado and other neighboring states. The dust storms is usually called the "black blizzard" In this short story, Elder explores the experience of Betty and Mary during the dust storm while their parents were away. Elder revealed Betty's actions as she took charge of the situation.
the library labels each book with five digit code to identify the books in their computer system each code is 3 digits(0-9)followed by two letters how many codes are possible
Answer:
676000
Step-by-step explanation:
3 digits of the 5-digit code are number 0-9 which is 10 numbers that could go into that spot, after the three digits there are two letters and because there are 26 letters in the alphabet you would multiply 10*10*10*26*26 which equals 676000
A bag of coins contains only quarters and dimes. The number of dimes in the bag can be represented by x. The number of quarters is 6 more than twice the number of dimes. There are a total of 276 coins in the bag. What is x, the number of dimes in the bag?
Answer:
There are 90 coins in the bag.
Step-by-step explanation:
Let [tex]x[/tex], [tex]y[/tex] the number of dimes and quarters. Now we proceed to translate each relevant sentence into mathematical expressions:
(i) The number of quarters is 6 more than twice the number of dimes:
[tex]y = 2\cdot x + 6[/tex] (1)
(ii) There are a total of 276 coins in the bag:
[tex]x + y = 276[/tex] (2)
By applying (1) in (2), we find that the number of dimes is:
[tex]x+2\cdot x + 6 = 276[/tex]
[tex]3\cdot x = 270[/tex]
[tex]x = 90[/tex]
There are 90 coins in the bag.
help plzz Charli pays $18.00 for 5 t-shirts he needs your help to answer the following questions.
Answer:
What do you but in the chart? Also, part 2 is 72
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
If each t-shirt costs 3.6 dollars then you would have to multiply 3.6 by 20 shirts which will equal to 72. So Charlie has to pay 72 dollars for 20 shirts.
I WILL GIVE BRAINLIEST IF CORRECT The area of a square is 49 square centimeters. Find the length of a side. Find the length of the
diagonal
Answer: 7
Step-by-step explanation:
Since squares have the same side lengths
then you need to find a number that multiplies twice that equals 49
7*7 = 49
Answer: Length of a side: 7 / Length of the diagonal: 9.9
Explanation:
Just square root 49, so it becomes 7. That's the side length. In order, to find the diagonal of the square, just use Pythagorean Theorem, a^2+b^2=c^2. Because it's a quadrilateral, all of the sides should equal 7. a^2 would be 7 and b^2 would be 7. 49+49=98. Square root 98 and you would get 9.899... That would be estimated to 9.9.
These fraction are part of a list of students quiz scores. Choose ALL scores that are equal to 80%
A.) 8/20
B.) 8/10
C.) 24/30
D.) 16/20
E.) 16/30
Answer:
B and D
Step-by-step explanation:
I'm pretty sure but definitely B
Select the correct description for the expression x+3/5
A. The quotient of a sum and a number
B. The quotient of a difference and a number
C. The product of a number and a sum
D. The product of a number and a difference
Answer:
the answer is A that's the answer
9+2(3^2)
please help
Answer:
The answer is 27.
Step-by-step explanation:
9+2(3^2)
=9+18
=27
Answer:
27
Step-by-step explanation:
9 + 2(3²) = 9 + 2 * 9
= 9 + 18
= 27
Which values for x make this inequality true?
−15x+4≤39
Answer:
x ≥ -7/3
Step-by-step explanation:
General Formulas and Concepts:Pre-Algebra
Order of Operations: BPEMDASBrackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Left to Right
Equality Properties
Step-by-step explanation:
Step 1: Define Inequality
-15x + 4 ≤ 39
Step 2: Solve for x
Subtract 4 on both sides: -15x ≤ 35
Divide -15 on both sides: x ≥ -7/3
Here we see that any value x greater than or equal to -7/3 would work as a solution to the inequality.
8. A right triangle has an angle
measure of 52.40. What is the
value of x, the missing angle?
Answer:
The missing angle is 37.60 degrees.
Step-by-step explanation: 180-90-52.40=37.60
Find the slope of the line passing through the points (-7, -4) and (8,8).
Answer:
Hope its work for you
Step-by-step explanation:
As we know that,
slope=m=(Y2-Y1)/(X2-X1)As given values
take, (X1,Y1)=(-7,-4)
(X2-Y2)=(8,8)
hence X1=-7 , Y1= -4 , X2=8 , Y2= 8
putt the values in the above equation of slope we get ,
m=(8-(-4))/(8-(-7)
m=12/15 AnsAnswer:
0.8
Step-by-step explanation:
Slope=(y2-y1) (8--4) (12)
(x2-x1)= (8--7)= (15)= 0.8
Someone please help I absolutely suck at these
Answer:
I believe it is C
Step-by-step explanation:
*PLS HELP ME ASAP 100 POINTS* There are 49 servings in a box of cereal. Each serving size is 1/7 of a cup of cereal. If one person eats 1 cup and another person eats 4 cups, how many cups are left in the box of cereal?
Answer:
2 cups left
Step-by-step explanation:
if the jumping price is 18.50 per hour and the fee for socks is 3.25 what is the total cost in dollars for the 5 friends to jump for 1 hour the total cost is
Answer: $108.75
Step-by-step explanation: 18.50+3.25=21.75 Per Person 21.75x5=108.75
A cyclist estimates that he will bike 80 miles this week. He actually bikes 75.5 miles. What is the percent error of the cyclist's estimate? Round the percent to the nearest hundredth if necessary.
Answer:
6%
Step-by-step explanation:
Estimated distance = 80 miles
Actual distance covered = 75.5 miles
We need to find the percent error of the cyclist's estimate. Its formula is given by :
[tex]\%=\dfrac{|\text{actual value-estimated value}|}{\text{actual value}}\times 100[/tex]
Put all the values,
[tex]\%=\dfrac{80-75.5}{75.5}\times 100\\\\=5.96\%[/tex]
or
= 6%
So, the percentage error is 6%.
Answer:
5.96
Step-by-step explanation:
Solve by using substitution. Express your answer as an ordered pair.
Identify the equation in slope-intercept form for the line containing the point (2,4) and perpendicular to y=1/2x+1/2.
Answer:
y = − 2 x
Step-by-step Explanation:
Y + 2 = − 2 ⋅ ( − 1 ) Write in y = m x + b form.
The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.
m in perpendicular = − 1 2
(1,-2),y=(1)/(2)x+4
I hope I helped!
Answer:
y = -2x + 8
Step-by-step explanation:
For this problem we need to consider that the equation of a line perpendicular to another line will have a "negative reciprocal" slope so that when they cross, it forms a 90-degree angle, hence perpendicular. Additionally, we will need to use the point-slope form and re-write it into the slope-intercept form to incorporate (2,4) into our equation. With these things in mind, let's do that.
y = (1/2)x + (1/2)
We want a "negative reciprocal" so:
y = -2x + (1/2)
Since -2 is the "negative reciprocal" of 1/2.
And now we want to use the point-slope form to incorporate (2,4)
y - y0 = -2 ( x - x0 )
Where, y0 = 4 and x0 = 2.
y - y0 = -2 ( x - x0 )
y - 4 = -2 ( x - 2 )
y - 4 = -2x + 4
y = -2x + 8
So, the equation that is perpendicular to y = (1/2)x + (1/2) and includes the point (2,4) is y = -2x + 8.
Cheers.
A water tank holds 693 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 924 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
Answer:
Simple....
you have: one is leaking 3 gallons per week and holds 256 gallons; whereas, the other one is leaking 5 gallons per week and holds 384 gallons.
Set up both the equations....
In y=mx+b form--->>>
y=-3x+256
y=-5x+384
To figure out when they will be equal..set the equations equal to each other....(remember to isolate the variable)
-3x+256=-5x+384
-3x+256=-5x+384
-256 -256
-3x=-5x+128
-3x=-5x+128
+5x+5x
2x=128
x=64
After 64 weeks the amount of water in both tanks will be the same.
Thus, your answer.
If f(x) = 4-x* and g(x) = 6x, which expression is equivalent to (g -)(3)?
O 6-3- (4 + 3)²
O6-3- (4- 3)
O 6(3) -4 +32
O 6(3) –4 -32
Answer:
The expression that equivalent to (g - f)(3) is 6(3) - 4 + 3² ⇒ C
Step-by-step explanation:
Let us solve the question
∵ f(x) = 4 - x²
∵ g(x) = 6x
→ Find at first (g - f)(x) by subtracting f(x) from g(x)
∵ (g - f)(x) = 6x - (4 - x²)
→ Remember (-)(+) = (-) and (-)(-) = (+)
∴ (g - f)(x) = 6x - 4 + x²
→ Substitute x by 3 to find (g - f)(3)
∵ (g - f)(3) = 6(3) - 4 + (3)²
∴ (g - f)(3) = 6(3) - 4 + 3²
The expression that equivalent to (g - f)(3) is 6(3) - 4 + 3²
At the movie theater all snacks and all movie tickets are priced the same. Four snacks and three movie tickets cost $40. Two snacks and three movie tickets are $32. What is the cost of a snack and movie ticket?
Write a systems that could be used to solve this problem. Let x = the cost of a snack in dollars and let y = the cost of a movie ticket.
We know that four snacks and three movie tickets cost $40 dollars, and when you take away 2 snacks but still keep the tickets, its $32.
2 snacks= $8
What i did to find the cost of each ticket is I divided 8 by 2 (8/2) and ended getting $4
1 snack= $4
Now to find the cost of each ticket, i divided 2 snacks ($8) and got this equation:
32 - 8= 24
3 tickets= $24
Now to find the amount for each ticket, i divided 24 by 3 (24/3) and got the answer:
1 ticket= $8
Therefore, snacks are $4 and movie tickets are $8
x tickets= 8x
x snacks= 4x
Thank you! Btw can i please get brainly :3
Remember the question that you helped me with?
can you tell me how I can show my work and get the answer
Because I need to show my work on those two problems
Can you guys also show your work to be and tell me how you guys got the answer because I need to show my work
Answer:
13. 23 boat rides; 22 are full, and the first one has 301 passengers.
12. $11,067.50
Step-by-step explanation:
13,105 people in a day, divided by 582 per ride.
13,105/582 = 22 (with a remainder)
582 x 22 = 12,804
So, the remainder is
13,105 - 12,804 = 301
23 rides, with 22 full and the first one having 301 people.
----------------------------------------------------------------------------------------------
There are 879,575 tickets sold across 755 theatres. Per theatre,
879,755 / 755 = 1,165 tickets per theatre
1,165 x $9.50 = $11,067.50 per theatre.
Write two hundred thousand and fifty seven in figures
Helpp mee please It says Find base and height on a triangle?
Answer:
just mesuere it
Step-by-step explanation:
do it mesure it
The table shows a ratio used to make orange paint. Using the table, how many quarts of yellow paint would be required to make this shade of orange if you used 9 quarts of red paint?
Answer:
7.5
Step-by-step explanation:
To make orange-shaded paint if we use 9 quarts of red paint we need 7.5 quarts of yellow paint.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given to make an orange shade paint 5 quarts of yellow paint and 6 quarts of red paint are needed.
Assuming the no. of yellow paint needed is x when 9 quarts of red paint is used.
As they are in direct proportion we can write
5 : 6 : : x : 9.
5/6 = x/9.
6x = 45.
x = 7.5.
learn more about proportion here :
https://brainly.com/question/7096655
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9x + 6 – 4x – 1x + 1 – 10
Answer:
4x-3
Step-by-step explanation:
9x+6-4x-1x+1-10
9x-4x-1x+7-10
5x-1x+7-10
4x-3
What is the third term of the expression
4x+8y+12xy
Answer:
12xy
Step-by-step explanation:
Each term is separated by a function sign. In this case, an addition symbol.
What is a good estimate for 1,710 2,740 4.322 5,700 7,810 6,395
Answer: If you want to round is so you have a small amount of decimals, you could round to the nearest tenths which would give you 17,102,740 4.3
Step-by-step explanation: