Answer:
A sample of 153 is needed.
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.
Standard deviation is 15 for the population of all adults.
This means that [tex]\sigma = 15[/tex]
We wish to find the sample size necessary to estimate the mean IQ score of statistics students. Suppose we want to be 90% confident that our sample mean is within 2 IQ points of the true mean.
This means that a sample of n is needed.
n is found when M = 2. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2 = 1.645\frac{15}{\sqrt{n}}[/tex]
[tex]2\sqrt{n} = 1.645*15[/tex]
Simplifying both sides by 2
[tex]\sqrt{n} = 1.645*7.5[/tex]
[tex](\sqrt{n})^2 = (1.645*7.5)^2[/tex]
[tex]n = 152.2[/tex]
Rounding up:
A sample of 153 is needed.
Mrs. Bell wrote the expanded form of a number, as shown. 5 × 100 + 4 × 10 + 6 × 1 + 2 × (1___ 10)+ 8 × (1____ 1000)What is the number written in standard form?
Answer:
the question is worded incorrectly, but I believe the answer is 8566.
Step-by-step explanation:
24 swimmers are swimming in the pool. 9 of them are female. What fraction of swimmers are male?
Answer:
15/24 or 5/8
Step-by-step explanation:
Well 9 are female
The rest of the 24 has to be male so
24-9=15
15/24 or 5/8
The fraction of male swimmers is 5/8.
Given,
24 swimmers are swimming in the pool.
9 of them are female.
We need to find what fraction of male swimmers.
How do we find fraction of items from the total items?We write in two parts numerator and denominator.
= Numerator / Denominator
= Number of required items / Total number of items
Find the total number of swimmers.
= 24
Find the number of male swimmers.
= Total swimmers - Female swimmers
= 24 - 9
= 15
Find the fraction of male swimmers.
= Number of male swimmers / Total number of swimmers
= 15 / 24
Taking out the common factor
= 3 x 5 / 3 x 8
= 5/8
Thus the fraction of male swimmers is 5/8.
Learn more about finding fractions here:
https://brainly.com/question/24370499
#SPJ2
FSA Mathematics Practice Test Questions
Session 1
2.
What fraction is represented by point A on the number line shown?
luciana was making $10 per hour.she just got a raise and now makes $10.50 an hour. what was the precent increase in her hourly wage??
In July, a new endoscopy and electrophysiological lab are opening up. It is projected 60 endoscopies and 5 EP studies will be performed daily. Based on preliminary work sampling to determine the time it will take to code these types of cases; it will take 5 minutes per endoscopy and 15 minutes per EP study. Calculate number of FTE needed to be hired to cover additional procedures per 7.5 hour day
Answer:
The number of FTE needed to be hired to cover the additional procedures per 7.5 day work is:
= 1.
Step-by-step explanation:
a) Data and Calculations:
Endoscopies EP Studies Total
Projected number of studies 60 5 65
Time in minutes for per study 5 15
Total time required (in minutes) 300 75 375
Full-time Employee (FTE) works 7.5-hour day or 450 minutes (7.5 * 60) per day.
b)The number of full-time employees (FTE) needed to be hired to cover the additional procedures per 7.5-day work is 1. The FTE has 450 minutes available for the additional procedures. She will only require 375 minutes. Therefore, she has extra (idle) time of 75 (450 - 375) minutes per workday.
Is 7/20 equal to 0.35
Answer:
yes it is
Step-by-step explanation:
divide 12 unto two parts such that
their product is 35
write each of the following expression without using absolute value.
|6m-54|, if m<9
9514 1404 393
Answer:
54 -6m
Step-by-step explanation:
For values of m < 9, the argument of the absolute value function is less than 0. Then the expression evaluates to ...
-(6m -54) = 54 -6m
What’s is Arccsc .866 problem
Answer:
arccsc refers to "arc cosecant", or the radian measure of the arc on a circle corresponding to a given value of cosecant. Technical note: Since none of the six trig functions sine, cosine, tangent, cosecant, secant, and cotangent are one-to-one, their inverses are not functions.
what is arccsc equal to? The value of the arccsc function of any argument is an angle in radians whose cosecant function equals the given argument, that is, y = csc-1x if and only if x = cosec(y) for - /2 < y < /2 and y. ˗ˏˋ ❤︎ ࿐
Step-by-step explanation:
y=10(1.05)^x
Does anyone know the answer to this question in terms of the percentage, and if it is a growth or decay?
Answer:
(Exponential) Growth
Step-by-step explanation:
Since r=1.05 exceeds 1, then it's exponential growth. Think about what would happen if r were 1. There would be no growth. You would always have your principal value of 10.
Answer:
Step-by-step explanation:
1.05 exceeds 1
1 A local college rents calculators to students
taking math classes. The cost to rent the
calculator is $5 per month plus a
nonrefundable fee of $10. Write an equation
to represent the cost, c, of renting a
calculator for m months.
2
Fleanor hart
Make an organized list which shows all possible outcomes when four fair coins are flipped.
Each coin lands facing either heads up (H) or tails up (T).
What is the probability that at least three coins land facing tails up? Give the probability as a percent, rounded to the nearest whole number.
Answer:
0.31 (31%)
Step-by-step explanation:
answer steps attached
PLSSSS HALLPP!!! DUE TODAY!!! PLS AND THANK YOU!!
Find the Compound Interest
Principal: 100
Interest Rate: 0.4%
Time: 1 year
Answer:
$100.4
Step-by-step explanation:
Compound Interest Formula:
A = P[tex]([/tex]1 + [tex]\frac{r}{100}[/tex][tex])^{t}[/tex]
=> A = 100 x ( 1 + [tex]\frac{0.4}{100}[/tex])^1 = 100.4 (If they asked ... interest rate ... per year, if not then depends - most likely to be days and therefore you will need to change 1 year = 365 days and you will also need to change 1 in the formula above to 365, then you will get the right ans)
The cost to rent a U-Haul is $30 per day plus $0.75 per mile driven. What is the
maximum number of miles that can be driven in one day if the total rental cost cannot
exceed $135?
Answer: 140 miles
let me know if this is wrong
Step-by-step explanation:
135-30=105
105÷0.75=140
Drew has two cats. One cat weighs 17 pounds, and the other one weighs 1212 pounds. Audrey’s dog weighs 33 pounds.
What is the difference in ounces between Audrey’s dog and the combined weights of Drew’s cats?
Enter your answer in the box.
Answer:
48 ounces.
Step-by-step explanation:
Steps:
Combine the weight of the cats.
12 (assuming it is a typo, 1212 pounds is a pretty big cat!) + 17 = 30 pounds
Convert to ounces.
33 pounds = 528 ounces
30 pounds = 480 ounces
Subtract the two/find the difference.
528 - 480 = 48.
The difference in ounces between Audrey's dog and the combined weights of Drew's cats is 48 ounces.
help with math please giving lots of points!
Answer:
9)
1 2/3 ÷ 2 1/4 = 5/3 x 4/9 = 20/27
10)
3 3/5 ÷ 1 3/4 = 18/5 x 4/7 = 72/35
Can sumone help me wit this
Answer:
1/9 i think not sure
Step-by-step explanation:
Answer:
1/9
Step-by-step explanation:
Well the chance of picking 3 one time is 1/3
The chance of picking 3 the second time is 1/3
So at first, we've succeeded with probability 1/3 and failed with probability 2/3
We don't care what happens next if we've failed - we already failed.
So we've reached the "picking the second card with hope in our hearts" 1/3 of the time and we again succeed with 1/3 of a chance, so the total probability of success is 1/3 * 1/3 = 1/9
Think of the options:
3 and 3 - probability 1/3 * 1/3 = 1/9
3 and non-3 - probability 1/3 * 2/3 = 2/9
non-3 and 3 - probability 2/3 * 1/3 = 2/9
non-3 and non-3 - probability 2/3 * 2/3 = 4/9
Note that all the options sum to 1 - as probabilities of all options always should.
ANSWER THIS PLEASE!!!!
Answer:
J
Step-by-step explanation:
Done.
A water storage tank is cone shaped. The radius of the tank is 20 feet and the height of the tank is 35 feet.
Study the figure below...
20 feet...
35 feet...
Which measurement represents the volume of the water storage tank
Convert grams (g) and milligrams (mg) to grams.
Answer:
1mg= 1000g
Step-by-step explanation:
1000 grams makes up 1miligram
The length of a rectangle is 1 ft less than twice its
width. If the area of the rectangle is 78 ft^2 ,what
are the dimensions of the rectangle?
Answer:
Width: 13/2 ft.
Length: 12 ft.
Step-by-step explanation:
Let's assume the width is x
This means that the length is 2x-1, because it it one less than double the width.
The formula for the area of a rectangle is length*width, so
(2x-1)*x=78
Now let's solve for x
2x^2-x=78
2x^2-x-78=0
Use the quadratic formula
x=13/2 and x=-6
x cannot be negative, so we can rule out x=-6 and are left with x=13/2.
Substituting x back into our original assumptions, we now know that
The width is x=13/2 and
The length is 2x-1=2(13/2)-1=12
Final answer: The width is 13/2 ft. and the length is 12 ft.
someone help me answer this
Answer:
51cm is the answer.
Step-by-step explanation:
a = ?
b = 68cm
c = 85cm
According to the Pythagoras theorem,
a² + b² = c²
a² + 68² = 85²
a² + 4624 = 7225
a² = 7225 - 4624
a² = 2601
a = 51cm
∴ the porch is 51cm tall.
Please Answer This question I will give you brainleist
Which of the following best describes an adaptation?
A characteristic that helps a living thing survive
A group of animals that behave in the same way
A trait that all animals have in common
A way that helps animals find shelter
Please help!!!
A researcher for a travel company is looking into the prices people are willing to pay for airplane tickets. The company has communicated that the overall population mean is $265 with a standard deviation of $40.93. The researcher has a sample of 130 ticket purchases from one location. By the central limit theorem, which interval can the researcher be 95% certain that the sample mean will fall within?
A.
$261.41 and $268.59
B.
$257.82 and $272.18
C.
$264.37 and $265.63
D.
$254.23 and $275.77
Answer:
B. $257.82 and $272.18
Step-by-step explanation:
PLATO USERS
Find the 51th term of the arithmetic sequence 29 9 -11
Answer:
-971
Step-by-step explanation:
I plugged the numbers into a arithmetic sequence calculator
Matthew made a mistake solving for x on his homework. Help him correct his process so
that he won't make the same mistake on the test.
find the value of x.
Answer:
5
Step-by-step explanation:
5y+155=180
5y=180-155=25
y=5
5y+13x=90
13x=90-25=65
x=5°
11. Multi-Step Ben gets on a bus at
Main Street at 10:13 A.N. The bus
arrives at Elm Street at 10:27 A.M. It
waits for 10 minutes. Then it arrives
at Broadway at 10:50 A.M. How long
is Ben on the bus if he rides from
Main Street to Broadway?
Answer:
41 minutes
Step-by-step explanation:
14+10+17= 41 minutes
To the nearest tenth of a centimeter, how tall is a cylinder with a radius of 8.4 cm and volume of 3119.5 cm3. Give the approximate answer rounded to 2 decimal places.
Thank you!
Answer:
r=8.4cm
v=3119.5cmcube
volume of a cylinder
=pie r square height
pie=22/7
22/7×8.4×8.4×h=3119.5cm cube
221.76cmsquareh=3119.5cm cube
___________________________
221.76cm square(both sides)
h=14.07cm
The height of the cylinder is h = 14.09 cm
Given data:
To find the height of the cylinder, the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius, and h is the height.
Given that the radius is 8.4 cm and the volume is 3119.5 cm³, substitute these values into the formula and solve for h.
3119.5 cm³ = π(8.4 cm)²h
To isolate h, divide both sides of the equation by π(8.4 cm)²:
h = 3119.5 cm³ / (π(8.4 cm)²)
Now, calculate the approximate value of h as:
h ≈ 3119.5 / (π * 8.4²)
≈ 3119.5 / (3.14 * 70.56)
≈ 3119.5 / 221.1264
≈ 14.0989 cm
Hence , the height is 14.09 cm
To learn more about cylinder click :
https://brainly.com/question/16134180
#SPJ2
Plz help ill give brainiest to who does PLZZZZ
Answer:
9.42 i think
Step-by-step explanation:
radius is 1.5 height is 4 so
V=1/3nr^2h
V=1/3n(1.5)^2(4)
V=1/3n(2.25)(4)
V=9.42
Hope this helps :)
