Answer:
a) probability that any individual student has a flu shot is 0.30
b) The probability that more than 30 students have had flu shots is 0.1038
c) the probability that 20 or fewer students have had shots is 0.1314
Step-by-step explanation:
Given the data in the question;
Number of students n = 84
student health clinic reports that only 30% of students got a flu shot this year;
p = 30% = 0.30
now,
pn = 0.30 × 84 = 25.2 ( > 10 )
qn = (1-p)n = (1-0.30)84 = 0.70 × 84 = 58.8 ( > 10 )
Criterion for approximation of the binomial distribution is satisfied since both pn and qn are greater than 10.
hence, Normal distribution will have;
mean μ = np = 0.30 × 84 = 25.2
standard deviation σ = √( npq )
= √( 84 × 0.30 × 0.70 )
= √17.64
standard deviation σ = 4.2
a) the probability that any individual student has a flu shot
student health clinic reports that only 30% of students got a flu shot this year
p = 30% = 0.30
Therefore, probability that any individual student has a flu shot is 0.30
b) The probability that more than 30 students have had flu shots
P(X > 30)
we use real time limits to determine probability from binomial distribution,
hence upper limit will be 30.5
Z = (X - np) / √( npq )
Z = ( 30.5 - 25.2 ) / 4.2
Z = 5.3 / 4.2
Z = 1.26
from normal distribution table
[tex]Z_{1.26[/tex] = 0.1038
Therefore, The probability that more than 30 students have had flu shots is 0.1038
c) the probability that 20 or fewer students have had shots;
P( X ≤ 20 )
upper limit will be 20.5
Z = (X - np) / √( npq )
Z = ( 20.5 - 25.2 ) / 4.2
Z = -4.7 / 4.2
Z = -1.12
from normal distribution table
[tex]Z_{-1.12[/tex] = 0.1314
Therefore, the probability that 20 or fewer students have had shots is 0.1314
(1/4)^3+(3/4)^3+3(1/4)(3/4)(1/4+3/4)
Answer:
[tex]\frac{43}{16}[/tex]
Step-by-step explanation:
[tex](\frac{1}{4})^{3}+(\frac{3}{4})^{3}+3(\frac{1}{4})(\frac{3}{4})(\frac{1}{4}+\frac{3}{4}) = \\\\\frac{1}{64}+\frac{27}{64}+3(\frac{3}{4})(\frac{4}{4}) = \\\\\frac{28}{64}+3(\frac{3}{4}) = \\\\\frac{28}{64}+\frac{9}{4} =\\\\\frac{28}{64}+\frac{144}{64} = \frac{172}{64} = \frac{43}{16}[/tex]
In basketball each basket scored from inside the 3 point line is worth 2 points. Each basket scored from outside the 3 point line is worth 3 points. Part B
A bakery makes a $5 profit for each cake it sells. It makes
a $6 profit for each pie it sells. The expression 5c+6p
represents the profit for selling c cakes and p pies. How
much profit is made if the bakery sells 10 cakes and 7 pies?
Answer:
$92
Step-by-step explanation:
Find the profit by plugging in 10 as c and 7 as p into the expression:
5c + 6p
5(10) + 6(7)
50 + 42
= 92
So, the bakery will make $92
i need some help if you could
Step-by-step explanation:
35A) arc AC = 360-(100+110+80)=
360-290 = 70°
35B) L D = ½× 70 = 35°
35C) L AEC = ½(100+70)=½×170= 85°
35D) L P = ½(100-70) = ½×30 = 15°
write a pair of integers whose sum is -1
Answer:
4 and -5
Step-by-step explanation:
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Harrison goes to a thrift shop and is going to buy a sports coat, a dress shirt, or a tie. Harrison tends to like everything but decides to stick to a power tie, which would be a tie with red or yellow in it. The thrift shop has 6 sports coats that fit him and 8 dress shirts that fit him. The thrift shop has 4 red ties and 5 yellow ties. How many choices does Harrison have
Answer:
Harrison has 432 choices.
Step-by-step explanation:
Harrison will choose:
One sports coat from a set of 6.
One dress shirt from a set of 8.
One power tie from a set of 4 + 5 = 9.
How many choices does Harrison have?
6*8*9 = 432
Harrison has 432 choices.
This is a regular octagon.
What is the measure of x?
IX
x = [? ]°
Enter
Answer:
x=360/8
=45 degrees,,,,
The measure of x = 45°.
What is exterior angles of a regular polygon?Exterior angles of a polygon are formed when by one of its side and extending the other side. The sum of all the exterior angles in a polygon is equal to 360 degrees. You are already aware of the term polygon. A polygon is a flat figure that is made up of three or more line segments and is enclosed. The line segments are called the sides and the point where two sides meet is called the vertex of the polygon.
According to question,
There is a regular octagon.
Number of sides in regular octagon, n = 8
Since, measure of each exterior angle = 360°÷8
= 45°
Hence, the measure of each exterior angle of a regular octagon is 45°
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7(x+4)-6(x+3)=x+5
What is x?
Answer:
Equation has no solutions.
Step-by-step explanation:
7x + 28 - 6x - 18 = x + 5
7x + 10 - 6x = x + 5
x + 10 = x + 5
x + 10 - 10 = x + 5 - 10
x = x - 5
x - x = x - x - 5
0 ≠ - 5
Violet earned a score of 662 on Exam A that had a mean of 550 and a standard
deviation of 40. She is about to take Exam B that has a mean of 550 and a standard
deviation of 40. How well must Violet score on Exam B in order to do equivalently
well as she did on Exam A? Assume that scores on each exam are normally
distributed.
Answer:
Step-by-step explanation:
662
Which equation shows 3/4 x+1/2y=1/8 converted to slope intercept form?
A. Y=3/2x-1/4
B.Y=-3/8x+1/16
C. Y=3/8x-1/16
D.Y=-3/2x+1/4
Answer:
D
Step-by-step explanation:
i need 33 and 35!!!!!
Hailey invested $940 in an account paying an interest rate of 8\tfrac{1}{4}8
4
1
% compounded quarterly. Justin invested $940 in an account paying an interest rate of 7\tfrac{5}{8}7
8
5
% compounded monthly. To the nearest dollar, how much money would Hailey have in her account when Justin's money has tripled in value?
Answer:
can you write it in a clearer way
Step-by-step explanation:
Consider strings of four decimal digits. Which rule must be used to find the number of strings of four decimal digits that have exactly three digits that are 9s? multiple choice the sum rule the subtraction rule the product rule the division rule How many strings of four decimal digits have exactly three digits that are 9s?
Answer:
36 possible ways
Step-by-step explanation:
Range of digit : 0 up to 9
To obtain the number of strings of 4 decimal digits that have exactly 3 digits that are 9s ; we use the multiplication rule :
In other to have exactly 3 digits from 4 that are 9s :
Say:
We have 3 9s and the last number could be any of the 10 possible digits except 9
First 9 = 1 possible way (since we have only one 9 between (0 to 9)
Second 9 = 1 possible way
Third 9 = 1 possible way
4th digit = 9 ways (could be any digit between 0 and 9, except 9)
Also, we consider the 4th digit's position ; as it could take up any of different positions in between the 9s = 4 ways
Using the product rule :
1 * 1 * 1 * 9 * 4 = 36 possible ways
Given: mZA= 15°; a = 10; m B = 57° Find b.
Answer:
Solve in terms of the arbitrary variable B
.
Alw(10)⋅(ys)
true
a=10
m=57°B
Step-by-step explanation:
A point at (4.6) is reflected across the x-axis. What is the
y-coordinate of the reflected point?
(4,-6)
OR -6
GOODLUCK :)
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How many cups are on 2.5 liters
Answer:
10.56 cups is your correct answer
Step-by-step explanation:
To convert liters to cups, multiply the volume value by 4.227
Have a great day!
Answer:
10.567
Step-by-step explanation:
cups in 2 liters is 8.454 and half a liter is 2.113
I just added that
Can anyone help? ................
answer:
x = 64
step-by-step explanation:
in order to solve this, we have to add up all the angles given and subtract from 360° in order to find xwe subtract from 360° because a circle adds up to 360°since there is a square shown as an angle, it is 90°so we know that, 180 + 26 + x + 90 = 360°
now, we solve for x180 + 26 + x + 90 = 360°
296 + x = 360
x = 64°
If anyone could help me! I’ll give Brainly :’) thank you..
Answer:
(3,1) (6,-2)
Good luck on your assignment!
Of the sundaes recently sold at Ice Cream Haven, 4 had nuts and 20 did not. Considering this
data, how many of the next 84 sundaes sold would you expect to have nuts?
The expectation of having nuts in the 84 sundaes if 4 had nuts and 20 did not is 14.
What is division?It is a fundamental operation in mathematics where you divide a number into smaller parts.
Given:
The sundaes had nuts = 4,
Total sundaes = 24,
So from this the possibility of having nuts in sundae = 4/24 = 1 / 6,
Hence, in 84 sundaes the possibility of having nuts is = 1 / 6 × 84 = 14,
Therefore, the expectation of having nuts in the 84 sundaes is 14.
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Suppose, to select a sample from a population of 3000 persons, the following procedure is followed. The names of the people are written on identical, square pieces of thin cardboard measuring one inch on a side, and these pieces of cardboard are then tumbled in a clothes dryer (with the heat shut off). After 30 minutes, a blindfolded person reaches in and withdraws a selected number of names. What can be said about this sample
Answer:
One can conclude that this sample is obtained through a simple random sampling technique.
Step-by-step explanation:
With a simple random sampling, each population participant has an equal chance of being selected. This sampling method is the best sampling technique when compared with other random sampling methods like the Stratified Random Sampling and Double-stage Random Sampling. The reason is that it gives equal chance to every sample to be chosen by eliminating sample bias.
Calculate the surface area in square feet of a box that measures 13 inches in
length, 10 inches in width, and 11 inches in height. The value of your answer
should be square feet. Round you answer to the nearest hundredth
Answer:
I think the answer is 766 inches, rounding it to the nearest 100 would be 800
Step-by-step explanation:
What is the slope-intercept equation of the line below?
(2,3)
(0,-5)
Answer:
y = 4x - 5
Step-by-step explanation:
plug the coordinates into the equation: y = mx + b
3 = 2m + b
-) -5 = 0m + b
___________
8 = 2m => m = 4
substitute 4 into either of the equation 3 = 2m + b or -5 = 0m + b to solve for b
=> 3 = 2(4) + b
=> b = -5
plug m = 4 & b = -5 into the slope-intercept equation: y = mx + b
=> y = 4x - 5
x^2-64=0 solve for all real values of x
Hi there! Use the difference of two squares formula to solve the problem below:
[tex] \large \boxed{ {x}^{2} - {y}^{2} = (x + y)(x - y)}[/tex]
From the equation, 64 comes from 8². Thus,
[tex] \large{ {x}^{2} - 64 = 0} \\ \large{(x + 8)(x - 8) = 0}[/tex]
The question also asks you to solve for all real values. Thus,
[tex] \large{x = 8, - 8}[/tex]
Answer
x = 8,-8 are the real solutions to x²-64 = 0.
PLEASE HELP
Which equation is the slope-intercept form of this equation?
y−10=−2(x+6)
a) y−10=−2x−12
b) 2x+y=−2
c) y=−2x−2
d) x=−12y−1
Answer:
C.
Step-by-step explanation:
The slope intercept form is:
y= mx +b
so you first want to start off by looking for the equation with y being the sum. In this case, there is only one, so you don't have to do anymore work.
please help me someone
Base = 5 * 12 = 60 in^2
Height = 4 in
Perimeter is the sum of all straight
Perimeter = 20 + 16 + 48
Perimeter = 84 in
Perimeter of base = 12 * 2 + 5 * 2 = 34
A school has a 20% sale on all headphones. With this discount, the price of headphones is $47. What was the original price of the pair of headphones?
Answer:
$56.40
Step-by-step explanation:
If you take the $47.00 and add 20% you will get 56.4
Please help me solve this
Answer:
x=2√41
Step-by-step explanation:
According to Pythagorean theorem:
14²=(4√2)²+x²
x²=14²-32=164
x=√164=2√41
A number is equal to half the sum of the same number and ten. Set up and equation and find that number.
9514 1404 393
Answer:
n = n/2 + 1020Step-by-step explanation:
Let n represent the number. Then half the number is n/2. We are told that ...
n = n/2 +10 . . . . the number equals half the number plus 10
n/2 = 10 . . . . . . .subtract n/2
n = 20 . . . . . . . . multiply by 2
The number is 20.
2. If an older television with an aspect ratio of 4:3 has a screen area of 1550 square inches, but the image displayed has an aspect ratio of 16:9, how much area does the image actually occupy? First determine what percent of the screen does the image occupy?
a. 825.5 sq. in.
b. 1162.5 sq. in.
c. 1181.5 sq. in.
d. 1375.5 sq.in.