Answer:
114 has the greatest value
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.
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 answer to this problem?
Answer:
5 2/3
Step-by-step explanation:
just trust me
Answer:
option b 5.6 is the correct answer
What is the volume of the composite figure?
plss help its due in 2 days :(
A toy shop is manufacturing hollow plastic spheres. The outside diameter of the sphere is 6 inches and the thickness of material is 1 inch. The spheres are packaged in boxes of 8, and the density of the material is 3.25 g/in3. What is the weight of the box to the nearest gram?
Answer:
2069 grams
Step-by-step explanation:
Assume that the box itself is massless so the weight is only due to the spheres only. Calculate the volume of a solid sphere of radius 3 in:
Vout = (4/3)pi(3^3) = 36pi in^3
Now calculate the volume of a solid sphere of radius 2 in:
Vin = (4/3)pi(2^3) = (32/3)pi in^3
To calculate the volume of the hollow sphere, subtract Vin from Vout:
Vnet = Vout - Vin = (76/3)pi
Since the density of the plastic is 3.25 g/in^3, the mass of each hollow sphere is
m = (density) × Vnet = (3.25 g/in^3)×(76/3)pi
= 258.7 g
Since there are 8 spheres in a box, the total weight of the box is
M = 8m = 2069 grams
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.
2m^2 - 4m/ 2(m - 2) simplified
Answer:
=2m²-4m/2(m-2)
=2m(m-2)/2(m-2)
=m is the correct answer
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
Heeeeeeeeeeeeeeeeeeeeeeeeeeelp!
Answer:
Canvas thing
Step-by-step explanation:
PUT MORE EXPLANATION!
Suppose $600 is deposited into an account every quarter. The account earns 5% interest, compounded quarterly. What is the future value of the account
after 5 years?
Answer:
$13,537.79
Step-by-step explanation:
The future value of the account after 5 years will be 762 dollars.
What is compound interest ?Compound interest is calculated for the principle borrowed as well as previous interest accumulated.
According to the given question 600 dollar is deposited in an account at 5 % interest compounded quarterly for 5 years.
Given, Principle(P) = 600, Rate(r) = 5 %, Time in years(n) = 5.
We know the formula for Amount(A) compounded quarterly is
A = P[ 1 + (r/4)/100)]⁴ⁿ.
A = 600[ 1 + (5/4)/100]⁴ⁿ.
A = 600[ 1 + 1.2/100]⁴ˣ⁵
A = 600[ 1 + 0.012]²⁰.
A = 600[ 1.012]²⁰.
A = 600(1.27).
A = 762 dollars.
learn more about compound interest here :
https://brainly.com/question/14295570
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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
If one card is randomly selected from a standard deck of 52 cards, find the probability of selecting:
(a) a red card, given that it is not a heart
(b) a red six, given that it is not a black card
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
What is the difference
Answer:
4
Step-by-step explanation:
Ben has 21 votes and Scott has 17
21 - 17 = 4
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
Evan said that this shape is a rhombus. Joel said that it is a trapezoid. Who is correct? Tell how you know.
Answer:
Evan is Correct.
Step-by-step explanation:
This shape is considered a rhombus because of the fact that it has all equal side lengths. Trapezoids are defined by having only one set of parallel lines, while the image appears to have two.
?
Round to the nearest hundred
thousand.
4,821,766
A tablet computer costs $399. A person pays $433.91 in the store. What is the sales tax?
Answer:
34.91
Step-by-step explanation:
433.91
-
399.00
————
34.91
Find the angle between u=
= (8,- 2) and v= (9,3). Round to the nearest tenth of a degree.
A 32.5
B 6.3
C 42.5
D 16.3
Answer:
the angle between u=(8, -2) and v=(9,3) is 32.5°
Step-by-step explanation:
u=(8,-2)=(u1,u2)→u1=8, u2=-2
v=(9,3)=(v1,v2)→v1=9, v2=3
We can find the angle between two vectors using the formula of dot product:
u . v =║u║║v║cos α (1)
And the dot product is:
u . v = u1 v1 + u2 v2
u . v = (8)(9)+(-2)(3)
u . v = 72-6
u . v = 66
║u║=√(u1²+u2²)
║u║=√((8)²+(-2)²)
║u║=√(64+4)
║u║=√(68)
║u║=√((4)(17))
║u║=√(4)√(17)
║u║=2√(17)
║v║=√(v1²+v2²)
║v║=√((9)²+(3)²)
║v║=√(81+9)
║v║=√(90)
║v║=√((9)(10))
║v║=√(9)√(10)
║v║=3√(10)
Replacing the known values in the formula of dot product (1):
u . v =║u║║v║cos α
66 = 2√(17) 3√(10) cos α
Multiplying:
66 = 6√((17)(10)) cos α
66 = 6√(170) cos α
Solving first for cos α: Dividing both sides of the equation by 6√(170):
Simplifying: Dividing the numerator and denominator on the left side of the equation by 6:
(66/6)/(6√170/6)=cosα→11/√170=cosα→cosα=11/√170
cosα=11/13.03840481→cosα=0.84366149
]
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
Find the the measure of angle 5.
Answer:
Angle 5 would be 119 degrees.
Step-by-step explanation:
This is because the angle that is 61 degrees and angle 5 are both supplementary angles. Supplementary angles would add up to 180 degrees and would lie on the same side of the line. So 180 minus 61 is 119.
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:
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
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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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
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
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:
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.
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%
1. Write the equation of the line best fit