Answer:
0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.
This means that [tex]p = 0.304[/tex]
100 such adults
This means that [tex]n = 100[/tex]
Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32
This is P(X = 32).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803[/tex]
0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.
HELP ME ASAP!!!!! Jack bought an automatic water bottle feeder for his cat. A diagram of the bottle is shown below. What is the maximum amount of water the bottle can hold?
Answer:
16 in
Step-by-step explanation:
What is the right answer
Answer:
The complement of 44° is the angle that when added to 44° forms a right angle ( 90° ). Subtract 44 from 90.
Step-by-step explanation:
Find the measure of <4.
44
158°
s
* 4 = [?]
Enter
Answer:
22°Step-by-step explanation:
∠4 and 158° are supplementary as same side interior angles
m∠4 + 158° = 180°m∠4 = 180° - 158° = 22°Answer:
[tex]<4+<158=180[/tex][co- interior angle]
<4=180-158=22°
<4=22°
An athletic coach conducted an experiment to test whether a four-week stretching and flexibility program reduces the number of muscular injuries that occur during athletic events. The coach randomly selected 30 athletes from several sports and randomly assigned 15 athletes to the four-week program. The remaining 15 athletes did not participate in any type of flexibility program during the four weeks.
Which statements about this study are true?
This study uses random sampling.
This study uses a control group.
This study uses a repeated measures design.
This study uses blocking.
This study uses blinding.
The TRUE statements about the study described above are :
• USE OF RANDOM SAMPLING
• USE OF A CONTROL GROUP
When selection from a population is performed such that all subjects in the population have equal chance of being selected, then we have a random process, the 30 selected athletes we're chosen without bias.
Also, when a certain group used in a research aren't subjected to the treatment process if the research, but are only used to compare the behavior of the TREATMENT group, then such group are called the CONTROL group. Hence, the 15 athletes who did not participate in any of the flexibility program are the control group.
The research doesn't exhibit any blinding or blocking procedure as it does not hide any information or contain an undesired variable.
Therefore, the TRUE statements are the study makes use of RANDOM SAMPLING AND A CONTROL GROUP.
Learn more : https://brainly.com/question/14735769
Answer:
This study uses random sampling.
Step-by-step explanation:
i got it wrong
The base of a triangle is 3 and the height is 2 what is the area ?
There was a triangle ABC with sides 15, 20, and 10. One of the sides of a triangle, which is similiar to ABC is 60. What are the two other sides? Note: Give all possible answers
Answer:
The possible pairs of sides are 90 and 120, 30 and 45, and 80 and 40.
Step-by-step explanation:
We know that 60 is a multiple of 15, 20, and 30, so we multiply by each factor to find all possible pairs: 10x6=60, 20x6=120, and 15x6=90, that gives your first pair, 90 and 120.
We have now multiplied our first factor, 6. Now we need to multiply our second factor, 3: 20x3=60, 15x3=45, and 10x3=30. That gives your second pair, 30 and 45.
Finally, we need to multiply by our 3rd factor, 4: 15x4=60, 20x4=80, and 10x4=40. That gives you your final possible pair, 80 and 40.
I hope this helps :-)
I need a answer ASAP
Which is equivalent to 99.5(50)?
Answer:
49.75 i think
Step-by-step explanation:
please help me solve this
9514 1404 393
Answer:
sin(θ) ≈ -0.92
cos(θ) ≈ 0.38
tan(θ) = -2.40
Step-by-step explanation:
Let r represent the distance of the point from the origin. The Pythagorean theorem tells us ...
r² = (5)² + (-12)²
r² = 169
r = √169 = 13
The trig relations for a point on the terminal ray are ...
(x, y) = (r·cos(θ), r·sin(θ))
Then ...
sin(θ) = y/r = -12/13 ≈ -0.92
cos(θ) = x/r = 5/13 ≈ 0.38
tan(θ) = y/x = -12/5 = -2.40
URGENT PLEASE HELP!!!
Answer:
the answer is B 4/9.... I need 20 characters smh.
Answer:
4/9
Step-by-step explanation:
there are 4 numbers below ten and 9 numbers total
What is 5/4 minus 1/3?
Answer:
11/12
Step-by-step explanation:
5/4 ---- 15/12
1/3------ 4/12
11/12
Answer:
11/12
Step-by-step explanation:
Hello! The answer to this question is 11/12. In this case, we want to make the denominator the same. To make the denominator the same we need to find the lowest common multiple. In this case the lowest common multiple is 12, (because 12 is the smallest number that 3 and 4 are both factors for.) 4x3=12 so now the denominator in 5/4 is 12 but whatever we do the bottom we do to the top. So since we multiplied the bottom (denominator) by 3 we have to multiply the top (numerator) by 3 as well. 5x3=15. Therefore, we now changed 5/4 to 15/12. Now, we have to do the same to the 1/3. 3x4= 12. 1x4=4. Now we have the two numbers, 15/12 and 4/12. 15/12-4/12=11/12! Therefore, your answer is 11/12. Hope this explanation helps! Happy learning!
find the perimeter of the figure below.
PLEASE GIVE A EXPLANATION
Answer:
Perimeter of the figure = 198.54 feet
Step-by-step explanation:
Given figure comprises a rectangle and two semicircles.
Perimeters of two semicircle = 2πr
Here 'r' = Radius of the circle
Perimeter of two semicircles at the sides of the rectangle = [tex]2\pi (\frac{25}{2})[/tex]
= 25π feet
= 78.54 feet
Length of side AB = Length of side CD = 60 feet
Perimeter of the given figure = 2(60) + 78.54
= 198.54 feet
NED HELP ASAP PLEASE
On a unit circle, the terminal point of 0 is (1/2,square root 3/2). What is 0 if 0°< 0<360°?
A. 45°
B. 15°
C. 30°
D. 60°
No links please
The value of θ if 0°< 0<360° on a unit circle where the terminal point of 0 is (1/2,square root 3/2), is 60°.
What is a terminal point?The terminal point of a circle or circular path is the measure of the angle in degrees or radians over the circle, at the endpoint on the coordinate plane.
On a unit circle, the terminal point of θ is,
[tex]\left(\dfrac{1}{2},\dfrac{\sqrt{3}}{2}\right)[/tex]
The image of the unit circle is attached below. The value of theta at terminal point (1/2,square root 3/2) is 60 degrees.
Thus, the value of θ if 0°< 0<360° on a unit circle where the terminal point of 0 is (1/2,square root 3/2), is 60°.
Learn more about the terminal point here;
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Answer:
Step-by-step explanation:
Its D, 60 degrees
I just took it
Find the area of the figure below. Round to the nearest tenth.
You sign up for karate classes. The classes cost $80 per
month
Write an equation for the number of dollars, d, that
you pay for your karate classes if you take classes for
m months.
Complete the table for the missing values of d.
d
1
80
2
3
4
320
Answer:
m* = d**
1 = $80
2 = $160
3 = $240
4 = $320
*months
**Dollars ($)
Step-by-step explanation:
If it costs 80 per month then you times 80 by the number of months you want to work out. For example, you want to work out the cost of going to karate class for 3 months, and it costs $80 per month. Then you do $80 × 3 = $240.
The radius of the cylindrical construction pipe is 2.5ft, if the pipe is 25ft long, what is the volume? Use the value 3.14 for pi, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer
Answer:
Step-by-step explanation:
r = 2.5 ft
h = 25 ft
Volume of cylindrical pipe = πr²h
= 3.14 * 2.5* 2.5 * 25
= 490.625 {as tenth place value is ≥ 5, add 1 to the whole number}
= 491 cubic feet
Describe the cross section
Suppose that a researcher is interested in estimating the mean systolic blood pressure,u, of executives of major corporations. He plans to use the blood pressures of a random sample of executives of major corporations to estimate u. Assuming that the standard deviation of the population of systolic blood pressures of executives of major corporations is 25 mm Hg, what is the minimum sample size needed for the researcher to be 90% confident that his estimate is within 5 mm Hg of u?
Answer:
The minimum sample size needed is 68.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Assuming that the standard deviation of the population of systolic blood pressures of executives of major corporations is 25 mm Hg.
This means that [tex]\sigma = 25[/tex]
What is the minimum sample size needed for the researcher to be 90% confident that his estimate is within 5 mm Hg of u?
This minimum sample size is n.
n is found when M = 5. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]5 = 1.645\frac{25}{\sqrt{n}}[/tex]
[tex]5\sqrt{n} = 1.645*25[/tex]
Dividing both sides by 5
[tex]\sqrt{n} = 1.645*5[/tex]
[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]
[tex]n = 67.65[/tex]
Rounding up:
The minimum sample size needed is 68.
how much does a 5 lb 11 oz roast weigh in grams?
9514 1404 393
Answer:
2580 g
Step-by-step explanation:
The conversions are ...
1 oz = 1/16 lb
1 lb = 453.59237 g (exactly)
So, your roast is ...
(5 11/16 lb)(453.59237 g/lb) = (91·453.59237/16) g ≈ 2579.8066... g
The weight is about 2580 grams.
If the earth's radius is approximately 4,000 mi, what distance (in miles) is traveled by the satellite in one complete orbit? Use your calculator value of . Round your answer to two decimal places.
( NO LINKSSSSS!!!!!!!!!!!!!!!!!!!!!!!)
Answer:
radius [r]=4000mi
circumference [C]=2πr=2×π×4000mi=25132.74mi
so,it travels 25132.74mi in one complete orbit.
PLEASE ANSWER ILL GIVE YOU BRAINLIEST
Answer:
V=3052.1 square units.
Step-by-step explanation:
Using the formulas
V=4
3πr^3
d=2r
Solving for V
V=1
1/6πd^3=1
1/6·3.14·18^3=3052.08
round to the nearest tenth place so your volume would be 3052.1 :)
Answer:
3052.1
Step-by-step explanation:
The formula for volume of a sphere: 4/3 x pi x r^3 (4/3 x pi x radius x radius x radius).
Here, only the diameter is shown. To find the radius, we must divide the diameter (18) by 2.
18 / 2 = 9
9 is the radius.
Now, we have our final equation:
4/3 x pi x radius x radius x radius
4/3 x 3.14 x 9 x 9 x 9 = 3052.08
(3.14 is commonly used for pi)
3052.08 rounded to the nearest tenth is 3052.1
Therefore, 3052.1 is the volume of the sphere.
9. Sheldon rides his bike on a
Saturday to complete his
errands throughout the day,
He starts and ends his journey
at his home.
D
E
Each line segment of the graph
is referred to by the letters A
through G.
Distance (miles from home)
А оло
NA
B
F
G
Math Bits
1 2 3 4 5 6 7 8 9 10
Time (hours)
Х
How many times did Sheldon stop during his journey
Ola will run from her house to a local park and back to her house.
She sees this sketch of the route she will take.
park
1 miles
2 miles
house
What is the total distance of the route Ola will run?
Give your answer as a mixed number.
You must show your working.
Answer:
MAY BE
OLA WILL RUN 2 MILES THIS IS CORRECT OR RIGHT I THINK
A fraction is a way to describe a part of a whole. The total distance of the route Ola will run is 3(5/8) miles.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
What is Mixed Fraction or mixed number?A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator.
Given the distance from the house to the park is 1(1/4) miles, while the distance from the park to the house is 2(3/8) miles, therefore, the total distance which the ola will travel can be written as,
[tex]\rm Distance = 1\dfrac14 + 2\dfrac38\\\\Distance = \dfrac{(4 \times1)+1}4 + \dfrac{(8 \times 2)+3}{8}\\\\Distance = \dfrac54 + \dfrac{19}{8}\\\\Distance = \dfrac{5\times 2}{4 \times 2} + \dfrac{19}{8}\\\\Distance = \dfrac{10}{8} + \dfrac{19}{8}[/tex]
[tex]\rm Distance = \dfrac{10+19}{8}\\\\Distance = \dfrac{29}{8} = 3\dfrac{5}{8}\ miles[/tex]
Hence, the total distance of the route Ola will run is 3(5/8) miles.
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What is the volume of a hemisphere with a diameter of 6.7 ft, rounded to the nearest tenth of a cubic foot?
Answer:
78.7 cubic feet
Step-by-step explanation:
What is the volume of a hemisphere with a diameter of 6.7 ft, rounded to the nearest tenth of a cubic foot? 78.7 cubic feet.
Im not really sure
I dont know
Wells Fargo has realized that they lose home mortgage business to other banks that can process the loan applications with less variability in the time it takes to process each application. The bank recently studied this problem, and found that the processing time T is normally distributed with a mean of 13 days. They didnt measure the standard deviation, but they know that 50% of all applications were processed in between 10.5 and 15.5 days. After learning all this, they then fired half of their mortgage loan officers and replaced them with new recruits. They then sampled 25 applications, and found a sample mean of 13 days (same as the old) and a sample standard deviation of 2.5 days.
(a) Test whether their actions have significantly changed their processing time T.
(b) Based on the sample of 25 applications, give a 90% confidence interval for the parameter that
has changed.
Answer: B
Step-by-step explanation:
The product of two consecutive even integers is 48. Find the integers
Answer:
The two consecutive integers are 6 and 8 or -8 and -6.
Step-by-step explanation:
The product of two consecutive even integers is 48, and we want to find the two integers.
We will let x represent the first even integer.
Then the consecutive even integer will be (x + 2).
Its product is 48. Therefore:
[tex]x(x+2)=48[/tex]
Solve for x. Since this is a quadratic, we should get one side to equal to 0. Expand:
[tex]x^2+2x=48[/tex]
Subtract 48 from both sides:
[tex]x^2+2x-48=0[/tex]
Factor:
[tex](x+8)(x-6)=0[/tex]
Zero Product Property:
[tex]x+8=0\text{ or } x-6=0[/tex]
Solve for each case:
[tex]x=-8\text{ or } x=6[/tex]
Therefore, our two consecutive integers are 6 and 8 or -8 and -6.
Which two factors of 48 contain a factor that is a prime number
Answer:
3 and 16
Step-by-step explanation:
PLEASE HELP!!!!
use Euler's formula to find the missing number
faces: 25
verticies: 17
edges: ?
answer choice-
a. 43
b. 41
c. 39
d. 40
Answer:
d. 40
Step-by-step explanation:
The number of faces, edges and vertices is related by the following formula:
[tex]V - E + F = 2[/tex]
In which V is the number of vertices, E is the number of edges and F is the number of faces.
In this question:
[tex]F = 25, V = 17[/tex]
We want to find E. So
[tex]V - E + F = 2[/tex]
[tex]17 - E + 25 = 2[/tex]
[tex]E = 42 - 2 = 40[/tex]
The correct answer is given by option D.
ANYBODY EXITED FOR RAMADAN DONT ANSWER IF U DONT KNW WHT RAMADAN IS XD
Answer:
soooo hype bro,i dont know what to eat for suhur tho
Step-by-step explanation:
I need help with this question plzz
Answer:
40 miles away from home
To put it in yard would be 82,720
Step-by-step explanation: