Answer:
0.1711 = 17.11% probability that the class size will be at least 720 students
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.
In this question:
Our random variable X is the number of students not taking admission, which has mean [tex]\mu = 50[/tex] and standard deviation [tex]\sigma = 21[/tex]
a. Suppose 750 students are admitted. What is the probability that the class size will be at least 720 students?
30 or less students do not take admission, which means that this is the pvalue of Z when X = 30.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30 - 50}{21}[/tex]
[tex]Z = -0.95[/tex]
[tex]Z = -0.95[/tex] has a pvalue of -0.1711
0.1711 = 17.11% probability that the class size will be at least 720 students
2. Find the gross monthly income from this job and calculate your monthly take-home pay.
Monthly take-home pay is your gross monthly income subtracting out taxes. Taxes total to
be about 1/4 of the gross income. Show all work.
Gross monthly income:
Monthly take-home pay:
Answer:
you will need to know what's his gross monthly income and multiply by 25%that will give you the amount of taxes withheld and then subtract that from gross monthly income and that will give you Monthly take home pay.
Line P R and Line Q S are diameters of circle T. What is the measure of Arc S R?
50°
80°
100°
120°
Answer:
100
Step-by-step explanation:
What is the measure of ZRCP in the figure below?
P
11
D
350
11
R
A. 35°
B. 55°
C. 11°
D. 60°
E. 70°
F. Cannot be determined
Step-by-step explanation:
the answer is 35 if he want the degree of c in RCD trangle
and if you want the RCD and The PCD deegrees total its 70
Two more than the quotient of a number and 3 is equal to 8.
In a lab experiment, 490 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 6 hours. How long would it be, to the nearest tenth of an hour, until there are 5210 bacteria present?
Answer:
20.5
Step-by-step explanation:
If you guys help me with this ill give you brainliest
Answer:
The answer is 19.2 miles your welcome
Step-by-step explanation:
Leia, Chewy, Han Solo, and Luke have to cross a bridge. They only have one flashlight, and the bridge can only hold two people at a time. They each take a different length of time to get across the bridge. At any time, a group of two can only move as fast as the group's slowest person. The times that it takes each person to cross the bridge are:
Chewy -- ten minutes
Han Solo -- five minutes
Leia -- two minutes
Luke -- two minutes
How can the four get across the bridge the fastest?
Answer:
luke and han solo
Step-by-step explanation:
because han solo have the most mins and luke is one of thr 2 mins and that added is 7min
I need to know the answer to this please and thank you, I don’t know how to do this.
Answer:
A= 30 sq feet
? = 5 feet
Step-by-step explanation:
if the total area is 104 square feet and we know where 44 square feet of that is accounted for that leaves 60 square feet so both A sections are equal so we can divide 60 by 2 to get 30 square feet. So "A" is 30 square feet.
to get "?" we need to find the other measurement for the 10 square foot sections, the easiest way to find that is 10 divided by 2 ( which is the measurement we already have), once we do this we get 5 feet, and because 5 feet is the height measurement for that part of the net diagram we know that the "?" will need to be 5 as well because it is also a height measurement.
What is (5b + 3x)(5d-3b)
Please help me I don’t understand and can you tell me how you got the answer
Answer:
9
Step-by-step explanation:
to find the whole number of this fraction all you have to do is do the top number divided by the bottom so... 36 ÷ 4 = 9 and we get 9 Hopefully that helps!
If 3/x x 4/7= 3/14 work out x
Answer:
[tex] \frac{3}{x} \times \frac{4}{7} = \frac{3}{14} \\ \frac{12}{7x} = \frac{3}{14} \\ 21x = 168 \\ x = \frac{168}{21} \\ x = 8[/tex]
Your local school board wants to determine the proportion of people who plan on voting for the school levy in the upcoming election. They conduct a random phone poll, where they contact 150 individuals and ask them whether or not they plan on voting for the levy. Of these 150 respondents, 78 people say they plan on voting for the levy. The school board wants to determine whether or not the data supports the idea that more than 50% of people plan on voting for the levy. Calculate the p-value for the one-sided Hypothesis test described in this example. (Hint: Find the test statistic and then use the tables to find the p-value.)
Answer:
The p-value for the one-sided Hypothesis test described in this example is 0.3121.
Step-by-step explanation:
Test the hypothesis that more than 50% of people plan on voting for the levy.
At the null hypothesis, we test that the proportion is 50%, that is:
[tex]H_0: p = 0.5[/tex]
At the alternate hypothesis, we test if this proportion is above 50%, that is:
[tex]H_a: p > 0.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.5 is tested at the null hypothesis:
This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5[/tex]
Of these 150 respondents, 78 people say they plan on voting for the levy.
This means that [tex]n = 150, X = \frac{78}{150} = 0.52[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.52 - 0.5}{\frac{0.5}{\sqrt{150}}}[/tex]
[tex]z = 0.49[/tex]
Pvalue of the test:
The pvalue of the test is the probability of finding a proportion above 0.52, which is 1 subtracted by the pvalue of z = 0.49.
Looking at the z-table, z = 0.49 has a pvalue of 0.6879.
1 - 0.6879 = 0.3121
The p-value for the one-sided Hypothesis test described in this example is 0.3121.
I need help plz help
Answer:
i think it would be 17
Step-by-step explanation:
sorry if its wrong
PLEASE HELP!! I CANT GET THIS WRONG YALL HELP.....!!!
GIVING BRAINLIEST
Answer:
D)6x^4+3x^3y
Step-by-step explanation:I hope this helps,good luck with everything,have a nice day.
Zak wants to work out the area of this triangle.
14 cm
8 cm
- 12 cm
Here is his working.
12 x 8 = 96 cm
What is wrong with his method?
Can someone please help me with this I will mark u brilliant
Answer:
80 is the median
The median is just the number in the middle and since 80 is in the middle the median is 80 hope that helps!
runs 9 miles in 84 minutes. How many miles does he run per minute?
Answer:
9.33333333333, or 9, or 9.3
Step-by-step explanation:
Which of the following is the product (5y − 3)2?
A. 10y − 6
B. 25y2 − 30y + 9
C. 25y2 − 9
D. 25y2 + 30y − 9
Answer:
d it is D
Step-by-step explanation:
What is y = 1/2x-3 on a graph??
Attached is a graph showing y=1/2x-3
Please look at the image
Answer:
[tex]r \geqslant - 5 [/tex]
Step-by-step explanation:
[tex]50 - 4r \leqslant 70[/tex]
[tex] - 4r \leqslant 20[/tex]
[tex] \frac{ - 4r}{ - 4} \geqslant \frac{20}{ - 4} [/tex]
[tex]r \geqslant - 5[/tex]
Check all the answers that represent the same level of precision,
O A. 42
OB. 1.1
O c. 23.45
D. 100.6
Answer:
Step-by-step explanation:
the "answer" below is why the brainly community, most of it atleast is shi
Find the volume of the prism.
15 mm
B = 43 mm2
mm3
help
Answer:
645 mm^3
Step-by-step explanation:
Volume of a prism = base area x height
43 x 15 = 645 mm^3
What is the distance between the points (-1,2) and (2,3).
9514 1404 393
Answer:
3.16 ≈ 3.2
Step-by-step explanation:
Put the numbers in the distance formula and do the arithmetic.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((2-(-1))² +(3-2)²) = √(3² +1²) = √10
d ≈ 3.16 ≈ 3.2
The distance rounded to hundredths is 3.16. Rounded to tenths, it is 3.2.
Which input-output rules could describe the same function (if any)? Be prepared to explain your reasoning.
Answer:
Step-by-step explanation:
the 1st and 2nd b/c they are both square the input number
Need help with this problem!!
Answer:
Area:
4 x 4 = 16
Finding area of semi circle:
4 is your diameter so half of it is your radius which is 2 since half of 4 is 2!
2^2<---your radius being squared = 4
4(radius squared) x 3.14(pi) = 12.56
12.56 divided by 2 since its a semi circle is = 6.28
6.28 + 16 = 22.28 is your area
Perimeter is:
4 + 4 + 4 (all sides of a square are equal therefore one or two given lengths will be all the sides) = 12
Circumference:
Radius is 2,
2(you just always have to multiply this number when finding circumference) x 3.14(pi) x 2(radius), 2 x 3.14 x 2 = 12.56
12.56 divided by 2 = 6.28
6.28 + 12 = 18.28 is your perimeter.
Just a refresh:
Circumference Formula:
2(always use this number when finding circumference) x pi(3.14 or 22/7 depending on what they tell you to use for pi) x radius
Area of a Circle Formula:
Radius squared x pi(3.14 or 22/7 whatever they tell you to use for pi)
Another thing you should remember:
Whenever it gives you 1/4 of a circle or 1/3 or a semi circle or any fraction, REMEMBER TO DIVIDE BY THAT DENOMINATOR TO WHAT YOU GET FROM EITHER CIRCUMFERENCE OR AREA OF A CIRCLE!
A group of hikers starts at an elevation of 2.53 kilometers. When they
stop for lunch, their elevation has increased by 1.24 kilometers. When they
stop to camp, their elevation has decreased by 0.53 kilometer compared to
their lunch stop. Which expressions represent the elevation, in kilometers,
of the group's campsite? Select all that apply.
2x^2 + 3x - 12, when x = 5
solve this and I'll give you brainliest.
A student wants to report on the number of movies her friends watch each week. The collected data are below: 2 14 1 2 0 1 0 2 Which measure of center is most appropriate for this situation and what is its value? (4 points) a Median, 1.5 b Median; 3 c Mean, 1.5 d Mean; 3
Answer:
The best measure of center for a set of data is the median value.
To find the median list the values from
Smallest to largest:
0, 0, 1, 1, 2,2, 2, 14
Since there is an even number of values, find the middle two numbers, add them together and divide by 2:
1+2 = 3
3/2 = 1.5
The answer is median 1.5
Step-by-step explanation:
plz brain list
Pears are $1.98 a pounds. How much do 3.5 pounds of Pears cost?
Given that f(x)=x^2+3x-28f(x)=x
2
+3x−28 and g(x)=x+7g(x)=x+7, find f(x)+g(x)f(x)+g(x) and express the result in standard form.
9514 1404 393
Answer:
x^2 +4x -21
Step-by-step explanation:
Substitute the given expressions and simplify.
f(x) + g(x)
= (x^2 +3x -28) +(x +7)
= x^2 +(3+1)x +(-28 +7)
= x^2 +4x -21