Answer: the required sample size = 155
Step-by-step explanation:
If the standard deviation of the prior study is known, then the formula to compute required sample size:
[tex]n=(\frac{z^*\times\sigma}{E})^2[/tex], where E = Margin of error, z* = Critical value, [tex]\sigma[/tex] = populion standard deviation.
Given: E = 3.7 , [tex]\sigma=28[/tex]
Critical value for 90% confidence = 1.645
Required sample size: [tex]n=(\frac{1.645\times28}{3.7})^2[/tex]
[tex]n=(12.4486486486)^2\approx155[/tex]
Hence, the required sample size = 155
Relationships in Figures
If one measurement of a golden rectangle is 6.1 inches, what is the other measurement?
a. 4.482
b. 7.718
c. 9.87
d. 1.618
Please select the best answer from the choices provided
Answer:
C. 9.87
Step-by-step explanation:
I calculated it logically
I NEED HELP The measure of an angle is 74.6°. What is the measure of its supplementary angle?
Answer:
105.4º
Step-by-step explanation:
supplementary angles total 180º
180 - 74.6 = 105.4º
-x if x si
Find f(7) for f(x) = 3 x + 5 if 15x<2
x? if x 22
Answer:
[tex]f(7) = 49[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \left[\begin{array}{cc}3x+5&1.5 <x < 2\\x^2&x>2\end{array}[/tex]
Required
Determine f(7)
To do this, we make use of
[tex]f(x) = x^2[/tex]
Because [tex]7 > 2[/tex]
So, we have:
[tex]f(x) = x^2[/tex]
This becomes:
[tex]f(7) = 7^2\\[/tex]
[tex]f(7) = 49[/tex]
Lengths of full-term babies in the US are Normally distributed with a mean length of 20.5 inches and a standard deviation of 0.90 inches. (Each question is worth 3 points) What percentage of full-term babies are between 19 and 21 inches long at birth
Answer:
66.48% of full-term babies are between 19 and 21 inches long at birth
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean length of 20.5 inches and a standard deviation of 0.90 inches.
This means that [tex]\mu = 20.5, \sigma = 0.9[/tex]
What percentage of full-term babies are between 19 and 21 inches long at birth?
The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then
X = 21
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{21 - 20.5}{0.9}[/tex]
[tex]Z = 0.56[/tex]
[tex]Z = 0.56[/tex] has a p-value of 0.7123
X = 19
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{19 - 20.5}{0.9}[/tex]
[tex]Z = -1.67[/tex]
[tex]Z = -1.67[/tex] has a p-value of 0.0475
0.7123 - 0.0475 = 0.6648
0.6648*100% = 66.48%
66.48% of full-term babies are between 19 and 21 inches long at birth
Plzzz help as soon as possible
Answer:
Step-by-step explanation:
8 is not a function
9 is a function
10 is a function
a number b divided by 3 is 6 less than a number c
Answer:
b/3 = c - 6
Step-by-step explanation:
A number b divided by 3 is 6 less than a number c
b/3 = c - 6
Could someone please help me because I am rubbish at maths?
15% of £40
the answer of this equation is 6
Answer:
£6.00
Step-by-step explanation:
15/100×40
=£6.00
2 cups = 1 pint 2 pints = 1 quart 4 quarts = 1 gallon
How many quarts are equal to 8 cups?
Answer:
Your answer is 2.
I NEED HELP PLEASEE HELP ME
Answer:
TRUE
FALSE
FALSE
TRUE
Step-by-step explanation:
yan na po god bless
I want to purchase a pair of sneakers for the summer. Champs and Footlocker
are selling the same pair of sneakers, but with different promotions. Champs
is offering a 25% off coupon and charging a tax of 8%. Footlocker is offering a
20% off coupon, but is not charging any tax.
If the sneakers have an original price of $80, where should I buy them
from if I want to spend the least amount of money?
Answer:
Champs is 64.8, Footlocker is 64. Footlocker is selling them for cheaper. You would go to Footlocker, as it's .8 off.
A die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6}. Find the probability of getting a 6.
Answer:
1/6
Step-by-step explanation:
What is the median of this set of data?
32,36,38,39,42
Answer:
38
Step-by-step explanation:
To find the median, make sure the number are in increasing order (they are), then start crossing out the outside numbers until you meet in the middle:
32 36 38 39 42
/ 36 38 39 /
/ / 38 / /
The only number left is 38, so the median is 38.
If there were two numbers remaining, you would take the average of the two.
(Add both numbers and divide by 2)
What is the initial value of the function represented by this graph?
O 1
O 5
O 6
O 7
The living room in a new house has the dimensions shown. What is the volume of the room?
Question 3 of 25
If f(x) = 3x + 2, what is f(5)?
O A. 10
O B. 17
O c. 1
O D. 13
Answer:
I believe it's 17 :)
Step-by-step explanation:
5×3= 15 +2 = 17
3) Which inequality represents the graph?
-54
-36
-18
0
18
36
54
a) x<9
b) x>9
c) X29
d) XS9
Answer:
I need a picture to see what it represents.
Plz help me well mark brainliest if correct
Answer:
I think it is b) 70
Step-by-step explanation:
Arrange the numbers in ascending order then find the middle number.
Answer:
70
Step-by-step explanation:
Write down all the data points: 20, 40, 50, 70, 80, 90, 110 and identify which is in the very middle.
Given the point (18, -10), apply the rule and tell the image after the translation as an ordered pair with no spaces.
(x,y) --> (x - 11, y - 9)
Answer:
The answer is (7,-19)
Step-by-step explanation:
Remember, 18 is x, and -10 is y. The rule says to subtract 11 from 18, which would be 7. For y, you add -9 to -10, which would be -19.
Therefore, your answer should be (7,-19)
Hope this helps!
By applying the rule and image after the translation as an ordered pair with no spaces is the point (7, -19).
What is translation?Translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way.
Given point = (18, -10)
(x, y) --> (x - 11, y - 9)
(18, -10) = (18 - 11, -10 - 9)
New point = (7, -19)
Hence, by applying the rule and image after the translation as an ordered pair with no spaces is the point (7, -19).
Learn more about translation here
https://brainly.com/question/20426179
#SPJ2
X - 13 < -11 Does anyone know this
Answer:
x < 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
x - 13 < -11
Step 2: Solve for x
[Addition Property of Equality] Add 13 to both sides: x < 2Here we see that any value x smaller than 2 would work as a solution.
Will give brainliest
Answer:
I think the car's acceleration is 20 mph forward
Answer:
20m/s^2
Step-by-step explanation:
Acceleration is (Change in velocity÷change in time)
(20-0)÷ (1-0)
20
Help me PLEASEEEEEEEEEEEEE
Answer:
the first two are true and the last two are false
A 4-story parking garage
has spaces for 240 + 285 + 250 + 267
cars. While one floor is closed for
repairs, the garage has spaces for
240 +250 + 267 cars. How many spaces
are there on the floor that is closed?
Explain.
What is sin 49° to the nearest tenth
Answer:
50
Step-by-step explanation:
50???
Answer:
sin49° = 0.75471
sin 49° = 0.75471
sin 49 degrees = 0.75471
Step-by-step explanation:
5th grade math. correct answer will be marked brainliest
210 - 30 = 180
180 ÷ 15 = 12
12 weeks
It would take her 12 weeks to pay for the DVD player.
Find the value of x . Round your answer to the nearest tenth.
the answer is 26
brainliest?
Answer:
The answer is 100 :D
Step-by-step explanation:
1: You would start by finding the sum of the two angles given (72 and 8) which is 80
2: You would then subtract the sum from 180
3: 180-80 = 100
Hope this helps :D
Can someone explain why the ans is X=6? Its (x-6)
Answer:
because either x-6=0 or x+1=0
x-6=0
x=0+6
x=6 OR,
x+1=0
x=0-1
x=-1
Step-by-step explanation:
SALE
70% OFF!
The original price of a chandelier is $440. How much will Victoria pay if she buys it during the
sale?
Answer:
$132
Step-by-step explanation:
$440-440×0.70
=$132
Suppose the line with slope 1 crosses the x -axis at x=2.
(a) Find the equation of the line in slope-intercept form and enter the answer in the space:
(b) What is the y -intercept of the graph of the line? Enter your answer in the space:
Answer:
a. y=x-2 b. -2
Step-by-step explanation:
a.) if the slope is 1, the x-int is always the negative of the y-int so y=x-2
b.) in y=mb+b (slope intercept form) b is the y-int so -2
Brainliest Plz??
Pls help 10 pts
X =
1
3
7
Answer:
3
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
Secant-Secant Formula:(whole secant) x (external part) =
(whole secant) x (external part)
4 *(9) = x *(12)
36 =12x
Divide each side by 12
36/12 = 12x/12
3 =x
Karen and Caroline saved up a total of $61. They decided to spend $25 on candy and $17 on ice cream. How much money did Karen and Caroline have left?
Answer:
$19
Step-by-step explanation:
$61-$25=$36-$17=$19