Wins to losses
[tex]\ \ \sf\longmapsto 15/6=5/2=5:2[/tex]
Losses to wins[tex]\ \ \sf\longmapsto 6/15=2/5=2:5[/tex]
A professor at a local community college noted that the grades of his students were normally distributed with a mean of 74 and a standard deviation of 10. Students who made 55 or lower on the exam failed the course. What percent of students failed the course?
Answer:
28.72% of students failed the course
Step-by-step explanation:
P(0<X<55) = normalcdf(0,55,74,10) = 0.287164928 = 28.72% of students failed the course
A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were collected, and the proportion wearing seat belts in Boston was 0.581 and the proportion wearing seat belts in New York was 0.832. Due to local laws at the time the study was conducted, it was suspected that a smaller proportion of drivers wear seat belts in Boston than New York.
Required:
a. Find the test statistic for this test using Ha: pB < pNY. (Use standard error = 0.1.)
b. Determine the p value.
Answer:
a) The test statistic is [tex]z = -2.51[/tex]
b) The pvalue is 0.0060.
Step-by-step explanation:
Question a:
Ha: pB < pNY
This means that the alternate hypothesis is rewritten as:
[tex]H_a: p_{B} - p_{NY} < 0[/tex]
While the null hypothesis is:
[tex]H_0: p_{B} - p_{NY} = 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error
pB = 0.581, pNY = 0.832
This means that [tex]X = 0.581 - 0.832 = -0.251[/tex]
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
Standard error = 0.1
This means that [tex]s = 0.1[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-0.251 - 0}{0.1}[/tex]
[tex]z = -2.51[/tex]
The test statistic is [tex]z = -2.51[/tex]
Question b:
The pvalue is the probability of finding a proportion less than -0.251, that is, a difference of at least 0.251, which is the pvalue of Z = -2.51.
Looking at the z-table, Z = -2.51 has a pvalue of 0.0060
The pvalue is 0.0060.
1. Write the equation of the line best fit
111, 107, 103, 90, 114, 103, 109, 106, 93
what number has the greatest value?
Answer:
114 has the greatest value
?
Round to the nearest hundred
thousand.
4,821,766
There are 20 students in the class. I counted 8 girls. What percent are boys?
Answer:
60%
Step-by-step explanation:
20-8=12
12÷20=0.6
0.6×100=60%
4 3/12 + 1 4/12 = (make sure you simplify the fraction)
Answer:
5 7/12 but it's 67/12 as an improper fraction
Step-by-step explanation:
HELPPP
Find the area of the kite.
Answer:
[tex]4 \times 4 + 4 \times 5 = 16 + 20 = 36[/tex]
PLS help will gift 20 extra point for the first to answer it
Answer:
No, his inference is not valid
Step-by-step explanation:
the data shown represents the statistic of 100 people's preferred ways to view movies in total
out of that 30/100 people prefer to watch in theatre.
trent inferences that out of 400 people 300 would prefer to watch in theatre another way to write this is 300/400
if we multiply the data we're given so that the denominators match Trent's inference. The data tells us that 120/400 would prefer to watch in theatre, so his inference is not valid.
Help help help ASAP IXL
hope it helps you
907.46 is the answer.
What is the answer to this problem?
Answer:
5 2/3
Step-by-step explanation:
just trust me
Answer:
option b 5.6 is the correct answer
Riley bought 3.5 pounds of dried apples. They cost $2.56 per pound. How much did Riley pay for the dried apples? QUICK PLEASE !!!
Answer:
$8.96
Step-by-step explanation:
3.5 x 2.56 = 8.96
Reggie lost 2 spaceships in level 3 of a video game. He lost 30 points for each spaceship. When he completed level 3, he earned a bonus of 350 points. By how much did his score change?
Answer:
Increased by 290
Step-by-step explanation:
2(-30) = -60
-60 + 350 = 290
points increased by 290
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
The answer is "His score changed by 290"
Step-by-step explanation:
2*30 = 60
350 points gained minus the 60 for the spaceships equals 290 points.
He only gained 290 points.
What is the volume of the composite figure?
What is the difference
Answer:
4
Step-by-step explanation:
Ben has 21 votes and Scott has 17
21 - 17 = 4
Find the third side in simplest radical form:
33
56
Answer:
65
Step-by-step explanation:
33^2 + 56^2=c^2
4225 = c^2
square root both
65 = c
2m^2 - 4m/ 2(m - 2) simplified
Answer:
=2m²-4m/2(m-2)
=2m(m-2)/2(m-2)
=m is the correct answer
Mr. Mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into
the ground. After 5 minutes of descending at a rate of 1.8 meters per minute, he was 13.5 meters below the
ground.
Let y represent Mr. Mole's altitude (in meters) relative to the ground after c minutes.
Complete the equation for the relationship between the altitude and number of minutes.
y =
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Give the equation of the circle centered at the origin and passing through the point (-7,0)
Please help me
Answer:
x² + y² = 49
Step-by-step explanation:
The circle being centred at the origin simplifies things a lot. Also, given an x-intercept point makes it easy to find the origin.
The equation for a circle is:
(x - x₁)² + (y - y₁)² = r²
Where (x₁, y₁) is the centre point of the circle.
In this case, the centre of the circle is (0, 0), giving us:
x² + y² = r²
We are told that the circle intercepts (-7, 0), which tells us that it has a radius of 7.
We can simply plug that into the given equation and say:
x² + y² = 7²
x² + y² = 49
More:***NOTE***
This is not part of the answer to the question, just an expansion of it.
Generically speaking, The equation for a circle is:
(x - x₁)² + (y - y₁)² = r²
Which applies when the centre of the circle is not at the origin. For example, if the given circle was centred around the point (6, 8), with the same radius of 7, then the circle's equation would be (x - 6)² + (y - 8)² = 49.
The other complication that could show up is if the given border point does not have the same x or y coordinate as the circle's centre. For example, if we are given a centre point of (-4, 6) and a border point of (-1, 2), we would first need to use the Pythagorean theorem to find the circle's radius:
r² = (x - x₁)² + (y - y₁)²
r² = (-4 - (-1))² + (6 - 2)²
r² = (-3)² + 4²
r² = 9 + 16
r² = 25
r = 5
We can then plug that into the proper equation, giving us:
(x + 4)² + (y - 6)² = 25
You can also expand and group terms to express that in general form:
x² + 8x + 16 + y² - 12y + 36 = 26
x² + y² + 8x - 12y + 26 = 0
Again, note that this part of the answer is not related to the original question, but an expansion on it.
Which ordered pair is not a point on the graph of y = − 5 x + 2?
A. (2, -8)
B. (-2, 12)
C. (0, 2)
D. (-1, 6)
Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation
Slope = 4, passing through (5,3)
Answer:
y = 4x - 17
Step-by-step explanation:
1. (y - y1)=m(x - x1) point-slope formula: slope = 4
2. (y - 3) = 4 (x - 5) substitute x and y values: (5, 3)
3. y - 3 = 4x - 20 simplify
4. y = 4x - 20 + 3 rearrange
5. y = 4x -17 solve
Kate is 5 feet 2 inches tall.
Alice is 1.57 metres tall.
Alice says that she is taller than Kate.
Use the conversions below to decide if Alice is correct.
12 inches = 1 foot
1 inch = 2.5 centimetres
if someone could help me with this it would be really helpful
Answer:
Alice is wrong kate is taller than Alice
Step-by-step explanation:
because Alice is 5'1 and Kate is 5'2
what is the slope of the line that passes through the points (6,4) and (-3,-7)
Answer:
m = 11/9
Step-by-step explanation:
m = (y2 - y1) / (x2 - x1)
= (-7 - 4) / (-3 - 6)
= -11/-9
= 11/9
Drag the fraction to the boxes and below to complete the subtraction sentence
Answer:
first box is 4/5 and the second box (=) is 7/15
Determine the situation that best describes a normal distribution.
A.
heights of students in a class
B.
prices of shirts during a sale
C.
grades of students on an easy test
D.
cost of houses during inflation
Help pleaseee pretty please I will mark you brainliest. NO LINKS OR I WILL REPORT YOU. PLEASE GIVE EXPLANATION.pretttty pleaseee this TIMED
Answer:
A, B, and E
Step-by-step explanation:
Those are correct.
A rectangle has a width of 9 inches and a length of 15 inches. If the rectangle is enlarged by a scale factor of 3/2, what is the perimeter of the dilated rectangle
Answer:
P = 48 in²
Step-by-step explanation:
Given: A rectangle; Width = 9 inches, length = 15 inches, enlarged by a scale factor of [tex]\frac{3}{2}[/tex]
To find: Perimeter of the dilated rectangle
Formula: [tex]P=2(l+w)[/tex]
Solution: After a dilation with a scale factor of one-half, then the lengths on the image would be one-half , one-half , and one-half . To find the perimeter of an enlarged figure, you can multiply the original figure's perimeter by the scale factor.
[tex]P=2(l+w)=2[/tex] × [tex](15+9)=48in[/tex]
Therefore, the perimeter of the detailed rectangle that was enlarged is 48 in²
Answer:
it's 9in
Step-by-step explanation: i got it right on my test
A cubical water tank is 1.2m high. how much water does it hold?
Answer:
1728000cm^3
Step-by-step explanation:
100cm-1m
x-1.2m
cross multiply
x=120cm
v=lxbxh
=120^3=1728000cm^3
Use the isosceles trapezoid below to
answer the following questions.
N
P
M
Q
Answer:
a, yes
b no
c yes
d no
Step-by-step explanation:
Heeeeeeeeeeeeeeeeeeeeeeeeeeelp!
Answer:
Canvas thing
Step-by-step explanation:
PUT MORE EXPLANATION!