Answer:
-105?
Step-by-step explanation:
The closest integer to [tex]105[/tex] should be [tex]104[/tex]!
An Integer is a number that cannot be a fraction nor a decimal. It can be - (Negative) or + (Positive).
A team of scientists are conducting research on the effect of word fonts used in road signs on accident rates. Across the population, there is an average of μ = 40 accidents per year due to unclear road sign fonts, with a standard deviation of σ = 10. The distribution is approximately normal. The team believes that certain fonts are difficult to read and may cause accidents, and it wants to implement a change to road sign fonts nationwide. The team is recommending a new font to replace the old fonts in road signs. After a series of studies, the team finds that the new font decreases accidents. However, the effect size is rather small (d = - 0.2). If the change to road sign fonts is implemented and there truly is an effect, it is expected that the new average rate of accidents will be: μ = 38 (i.e., hypothesized mean of the treatment group). In other words, this change should decrease accidents by 2, on average. [50 points total]
A.) Because implementing such large-scale changes is very costly, the government wants to be sure that the investment will be impactful. For a hypothesis test, they want the α-level to be small to minimize error. It is decided that α = 0.01, and a one-tailed test will be used. [50 points]
-What type of error is minimized by setting a stricter (smaller) α-level?
-With a one-tailed hypothesis test at α = 0.01, use the unit normal table to find the zscore that marks the critical region.
B.) A sample of n = 100 people are selected to go through a road trial with new fonts in the road signs. Again, the treatment is expected to decrease accidents by 2 on average. If the researchers use a one-tailed hypothesis test with α = 0.01, what is the power of the hypothesis test? [10 points]
C.)An external consultant is worried that there may not be enough power to detect such a small effect with such a small sample size. The consultant recommends that the researchers select a sample of n = 400 people instead. With this new sample size, and assuming a one-tailed hypothesis test with α = 0.01 again, what is the power of the hypothesis test?
D.)Based on your answers in 3(b) and 3(c), calculate the probability of making a Type II error in both cases and explain what the values mean.
E.) Explain how sample size influences power. Discuss what this means in terms of the conclusions you might make in hypothesis testing. (You can use your answers in 3(b) and 3(c) as an example.)
Label each point on the number line with the correct value.
Click each dot on the image to select an answer. Choices:
0.730.73
0.73
0, point, 73
0.6‾0.\overline{6}
0.
6
0, point, start overline, 6, end overline
78\dfrac{7}{8}
8
7
Answer:
0.6 = A 0.73 = B 7/8 = C
Step-by-step explanation:
Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 9 13 6 28
Female 20 19 2 41
Total 29 32 8 69
If one student is chosen at random, Find the probability that the student got a C: Correct Find the probability that the student was female AND got a "C": Correct Find the probability that the student was male OR got an "B": Correct If one student is chosen at random, find the probability that the student got a 'C' GIVEN they are female:______.
Answer:
Kindly check explanation
Step-by-step explanation:
________A___ B___ C___ Total
Male____ 9___13___ 6____ 28
Female_ 20__ 19___ 2____ 41
Total___ 29__ 32___ 8____ 69
If one student is chosen at random,
Find the probability that the student got a C:
P(getting C) = (number of C's) / total number
P(getting C) = 8 / 69
Find the probability that the student was female AND got a "C":
P(female and C):
(number of female who got C / total number)
= 2 / 69
Find the probability that the student was male OR got an "B":
P(male OR B) :
(Number of males or B) = (28 + 32) - 13 = 47
= 47 / 90
find the probability that the student got a 'C' GIVEN they are female:______.
P(C given they are female) :
This is the proportion of females who got C
Total Number of females = 41
Females who got C = 2
Hence,
P(C given they are female) = 2 / 41
what is the value of the expression 4 2/5(-2.5)
Answer:
-0.64
Step-by-step explanation:
Given:
4[2/5(-2.5)]
Find:
Value
Computation:
⇒ 4[2/5(-2.5)]
⇒ 8 / [-12.5]
⇒ -0.64
∠A
and
∠B
are vertical angles with
m∠A=x
and
m∠B=5x−80
.
What is
m∠A
?
Answer:
∠A = 20
Step-by-step explanation:
Given:
Vertical angles
∠A=x
and
∠B=5x−80
Find:
∠A
Computation:
∠A = ∠B
x = 5x - 80
4x = 80
x = 2o
∠A = 20
Answer:
A=20
Step-by-step explanation:
Adam built a rectangular vegetable garden that has a length of 6.6 feet and a
with of 3 1 feet. What is the area of his garden?
2. Find the product of 2/7 x 5/6
A. 5/21
B. 7/42
C. 9/16
D. 10/13
3. Find (-4/6) (7/10)
A. -28/45
B. -14/25
C. -7/50
D. 17/50
Multiply the numerators together and the denominators:
2/7 x 5/6 = (2x 5) / (7x6) = 10/42 this can be reduced to 5/21
The answer is 5/21
-4/5 x 7/10 = (-4x7) / (5x 10) = -28/50
This can reduce to -14/25
An older person is 5 years older than six times the age of a younger person. The sum of their ages is 26. Find their ages.
Let x be the age of the younger person.
The older person would be 6x +5 (5 years older than 6 times)
Now add to equal the sum:
x + 6x +5 = 26
Combine like terms:
7x +5 = 26
Subtract 5 from both sides:
7x = 21
Divide both sides by 7:
x = 3
Now you can subtract the age of the younger person from the total age:
26-3 = 23
The ages are 3 and 23
Answer:
3 and 23
Step-by-step explanation:
Is three and five a factor pair of 15
Yes because 3*5 = 15
Factors multiply to get the product.
Two less than four times a number is 6
Answer: 2 - 4x = 6
Please mark me as brainliest
Ms. Anguiano is enjoying a bicycle ride on a country road
that runs east to west past a haunted house. Define a
coordinate system (x-axis) so that increasing "x" means
moving east (POSITIVE). At noon, Ms. Anguiano is 6 miles
(mi) east of the haunted house. A half-hour later, she is
8 mi west of the haunted house. What is her
displacement ? HINT: EAST IS POSITIVE, WEST IS
NEGATIVE.
Answer:
The rate is 13 miles per hour
Step-by-step explanation:
* Lets explain how to solve the problem
- Jim lives three miles east of State College
- At noon, he leaves his house and begins to walk due east at a
constant speed of 2 miles per hour
- Annie lives four miles north of State College
- At noon, she leaves her house and begins to bicycle due north at a
constant speed of 8 miles per hour
- The east is perpendicular to the north
* Lets solve the problem
∵ At noon means 12 p.m
∵ They moved till 1 p.m
∵ Jim walked for 1 hour and Annie bicycled for 1 hour
∵ The rate of Jim is 2 miles per hour
∵ The rate of Annie is 8 miles per hour
- The distance = rate × time
∴ Jim walked = 2 × 1 = 2 miles
∴ Annie bicycled = 8 × 1 = 8 miles
- Lets calculate the distance of Jim from the State College till his
position at 1 p.m
∵ Jim lives three miles east of State College
∴ His distance at 1 p.m = 3 + 2 = 5 miles east
- Lats calculate the distance of Annie from the State College till her
position at 1 p.m
∵ Annie lives four miles north of State College
∴ Her distance at 1 p.m = 4 + 8 = 12 miles North
- Lets find the distance between them at 1 p.m
∵ The north ⊥ east
- Use Pythagoras Theorem to find the distance
∴ The distance = √(5² + 12)² = √(25 + 144) = √169 = 13 miles
- The rate = distance/time
∵ The distance between them is 13 miles in 1 hour
∴ The rate = 13/1 = 13 miles per hour
* The rate is 13 miles per hour
Write the equation of a line perpendicular to the line y = 2x - 3 that goes through point (4,3). Convert the line to Slope-Intercept Form.
Answer:
y=-1/2x+5
Step-by-step explanation:
a line perpendicular to a given line will have a slope that is the negative reciprocal of the given one. this means the slope of the line perpendicular to the given one would be -1/2.
How I got this: 2 as a fraction would be 2/1, so the reciprocal would be 1/2, but we want the NEGATIVE reciprocal, so we multiply the fraction by -1, which gets us -1/2.
Now we know the slope of the equation that passes through (4,3) which is perpendicular to the given line.
y=-1/2x+b
b is the y-intercept, so we use the point (4,3) and the slope we were given to find out b.
when the point's x value is 0, the y value is the y intercept.
Como puedo poner 2 3/5 en decimal
When turning a fraction into a decimal, any whole numbers comes before the "." and the fraction will become after the ".".
To make it simple, turn the fraction into a "over 100" fraction to make it easier.
Multiple both numeriator and denominator by a specific number, to turn the denominator into a 100. You must times the numeriator as well since your changing the denominator.
100 / 5 = 20
So now, multiple both sides of the fraction by 20.
3 x 20 = 60
5 x 20 = 100
2 60/100
Now, put the whole number in front of the decimal symbol.
2.___
Now, take the numeriator and put it behind the decimal symbol.
2.60
So, when turning 2 3/5 into a decimal, it is 2.60.
Southern Florida has a mild climate.Which stat ment about the probability of snow in June in southern florida is most likely true ?
The probability of snow is about 0.75
The probability of snow is greater than 0.5.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that Southern Florida has a mild climate.
We have to check the statement which shows the probability of snow in southern Florida is mostly likely true.
The probability of snow in June in June southern Florida.
So the probability of snow is greater than 0.5.
Hence, The probability of snow is greater than 0.5.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ6
Find the linear function,
f
(
x
)
, passing through the points:
(
−
5
,
−
7
)
and
(
2
,
−
7
)
.
Enter your answer using function notation
Answer:
f(x) = -7
Step-by-step explanation:
geez - how about typing things so we can read them?
The line passing through (-5,-7) and (2,-7) is a horizontal line
Tara rolled the numbers shown. what is the greatest number she can make using each digit at once?
A coat is marked down 40% off the original price. If the original price was $115.00, what is the sale price of the coat before sales tax?
Answer:
$69
Step-by-step explanation:
Answer:
69$
Step-by-step explanation:
One less than a number, which is then divided by 5, is -7. What is the number?
Answer:
Work backwords.
-7*5=-35
-35-1=-36.
Answer:
- 34
Step-by-step explanation:
Let the required number be x
Therefore, one less than a number = x - 1
[tex](x - 1) \div 5 = - 7 \\ \\ \frac{x - 1}{5} = - 7 \\ \\ x - 1 = - 7 \times 5 \\ \\ x - 1 = - 35 \\ \\ x = 1 - 35 \\ \\ x = - 34[/tex]
Given the function f(x) = -4x + 2, what is the
value of f(3)?
What is the answers
Answer:
f(3)=-10
Step-by-step explanation:
f(3)=-4(3)+2=-12+2=-10
6s-2t for s=2 and t=3
Answer:
6
Step-by-step explanation:
6s is like 6 X S which is 6 X 2 = 12
Then 2 X t is 2 X 3 = 6
Then do 12 - 6 and you get 6
18)
An aquarium has 12 equal size tanks of fish on display. All together, the tanks hold 643.8 gallons of water. How much water can each tank hold?
A) 53.35
B) 53.65
Eliminate
C) 55.63
D) 56.53
Answer:
53.65
Step-by-step explanation:
643.8 / 12 = 53.65
I need help I have searched everywhere and nothing
industrial costs A power plant is located near a river, where the river is 800 ft wide. Running a cable from the plant to a location in the city, 2 miles (mi) downstream on the opposite side, costs $ 180 per ft across the river and $ 100 per ft ashore along the riverbank .
a) Suppose the cable runs from the plant to point Q, on the opposite side, which is x ft from point P, directly opposite the plant. Write a function C (x) that indicates the cost of laying the cable in terms of the distance x.
b) Generate a table of values to determine if the cheapest location for point Q is less than 2000 ft or greater than 2000 ft from point P.
Answer:
See attached
Step-by-step explanation:
All answers in one graph, refer to attached
The function we need is
C(x) = 100(2*5280 - x) + 180[tex]\sqrt{800 +x^2}[/tex], where 2*5280= 2 milesTable included as well
The vertex is about x = 19 ft which corresponds the minimum cost
Any other value, including negative reveal greater cost
Note. there is a bit confusion over 2 miles or 2000 ft, but the graph is going to be same in shape and vertex for x, the value for cost will be different(Ignore that I selected an answer)
Can someone pls help me
HELP PLEASEEEEEEE WILL MARK YOU AS BRAINLEIST no guesses please!!!
-4, +1
And then the 20 letters i need to write are right here
PLEASE HELP ME
Jamie used a microscope to measure the diameter of a hair. She found that the diameter of the hair was 0.000072 meter. How is this number written in scientific notation?
A. 7.2 × 10−6
B. 7.2 × 105
C. 7.2 × 10−5
D. 7.2 × 106
when i was 18 years old, my sister was half my age. Now I am 82 years. How old is my sister now?
Answer:
[tex]41 \: \: \: years \: \: \: old[/tex]
Step-by-step explanation:
[tex]me \: \: \: \: \: \: \: \: \: \: \: sis \\ 18 \: \: \: \: \: \: \: \: \: \: \: \: 9 \\ 82 \: \: \: \: \: \: \: \: \: \: \: x \\ \\ use \: \: cross \: \\ multipaction \\ \\ 18x = 82 \times 9 \\ 18x = 738 \\ \frac{18x}{18} = \frac{738}{18} \\ x = 41[/tex]
Answer:
41 y/oStep-by-step explanation:
its a ratio and proportion:
18 y/o = 82 y/o
9 y/o x
82(9) = 18(x)
x = 738 / 18
x = 41 y/o
In an assessment of the quality of the electrical power system, one measure of quality is the degree to which voltage fluctuations cause light flicker in the system. The perception of light flicker x when the system is set at 380kV was measured periodically (over 10-minute intervals). For transformers supplying heavy industry plants, suppose the light flicker distribution was found to follow (approximately) a normal distribution with % and . If the perception of light flicker exceeds %, the transformer is shut down and the system is reset. How likely is it for a transformer supplying a heavy industry plant to be shut down due to light flicker?
Answer:
The answer is " 0.83"
Step-by-step explanation:
In the question some data is missing, that's value can be defined as follows:
Values:
[tex]\ X = 3.3 \\[/tex]
[tex]\mu \ = 2.8 \% \\\sigma = 0.6[/tex]
Formula:
[tex]z= \frac{X - \mu }{\sigma} \\[/tex]
[tex]= \frac{3.3 - 2.8 }{0.6} \\\\= \frac{ 0.5}{0.6} \\\\= \ 0.83[/tex]
Determine the slope m and y-intercept (if possible) of the linear equation. (If the slope is undefined, enter UNDEFINED. Enter NONE if there is no y-intercept.) 5x − 4y − 20 = 0
Answer:
m= 5/4 b = -5
Step-by-step explanation:
5x - 4y - 20 = 0
5x - 4y = 20
-4y = -5x+20
[tex]y=\frac{5}{4}x-5[/tex]
slope: 5/4
y-intercept: -5
The minimum z-score necessary to be in the top 20% of the diastolic blood pressure distribution is z = .
Answer:
22
Step-by-step explanation:
Answer:
.842
Step-by-step explanation:
-6 - ___ = -1
Negative six minus blank equals negative one
Answer:
-5
Step-by-step explanation:
Hope this helps!! :)
Answer:
-5
Step-by-step explanation: