In a group of 34 students, 12 study both Art and Biology.
14 study Biology but not Art.
5 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answer:
3
Step-by-step explanation:
12+14+5=31
so therefor 34-31=3
I'm not too sure but, wouldn't you just do the following
12 + 14 + 5 = 31
which would mean 15 students do art??
A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of size 100 is selected and x is used to estimate . a. What is the probability that the sample mean will be within 65 of the population mean
Answer:
z(195) = (195-200)/50 = -0.1
z(205) = (205-200)/50 = +0.1
P(195 < x < 205) = p(-0.1 < z < 0.1) = 0.0797
Step-by-step explanation:
step by step is in they're
Using the normal distribution and the central limit theorem, it is found that there is a 1 = 100% probability that the sample mean will be within 65 of the population mean.
In a normal distribution 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]
It 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, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
The mean is of 200, hence [tex]\mu = 200[/tex].The standard deviation is of 50, hence [tex]\sigma = 50[/tex].The sample size is of 100, hence [tex]n = 100, s = \frac{50}{\sqrt{100}} = 5[/tex].We want the probability that the sample mean will be within 65 of the population mean, hence:
[tex]Z = \frac{65}{s}[/tex]
[tex]Z = \frac{65}{5}[/tex]
[tex]Z = 13[/tex]
The probability is P(|Z| < 13), which is the p-value of Z = 13 subtracted by the p-value of Z = -13.
Looking at the z-table:
Z = 13 has a p-value of 1.Z = -13 has a p-value of 0.1 - 0 = 1
1 = 100% probability that the sample mean will be within 65 of the population mean.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
helppppppp pleaseeee again im sorry but i dont know any of itttttt.
Step-by-step explanation:
sqrt(5x)×(sqrt(8x²) - 2×sqrt(x)) =
sqrt(5x × 8x²) - 2×sqrt(5x × x) =
sqrt(40x) × x - 2x × sqrt(5) =
2x×sqrt(10x) - 2x×sqrt(5)
therefore, the last option is correct.
which expression is equivalent to 12x4(x-3)(x+5) / 30 x (x+3) (x+5)
Answer:
D. 2x^3(x-3)/5(x+3)
Step-by-step explanation:
when we simplify it.. we get 2x^3(x-3)/5(x+3).
bill planted 4 pecan trees and 2 apple trees what fraction of that is pecan
Answer:
4 / 6 or 2/3
pecan total tree
Answer:
2/3
Step-by-step explanation:
So, Bill planted -
Pecan trees = 4
Apple trees = 2
Total trees = 6
We want the fraction of Pecan trees. Thus,
4/6
Where 4 is Pecan trees, (What we want)
And 6 is the total.
4/6 in its simplest form is 2/3.
I hope it helps.
Which of the following correctly describes the graph?
Answer:
C is correct
Step-by-step explanation:
The x and y axes are linear, the plot is linear. The constant rate of change is assured with those conditions.
What is the slope of the line that passes through the points
(−5,−7) and (4,−1)? Write your answer in simplest form.
9514 1404 393
Answer:
2/3
Step-by-step explanation:
The slope is found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-1 -(-7))/(4 -(-5)) = 6/9 = 2/3
The slope of the line is 2/3.
_____
The attached graph shows the equation of the line in point-slope form.
Find the solution set of the inequality
14−3x<−1.
If right will mark Brainlyest!
Answer:
x > 5
Step-by-step explanation:
14 -14 - 3 x < -1 -14
-3 x < -15
-3 x / -3 < -15 / -3
x > 5
how to find the circumference with a diameter?
Answer:
Multiply the diameter by pie which 3.14
Step-by-step explanation:
On the previous screen, you said the daily recommended amount of vitamin C is `80` milligrams. Yosef drank `4` ounces of orange juice. What percent of the daily recommended amount of vitamin C is this?A `16`-ounce bottle of orange juice contains `200` milligrams of vitamin C, which is `250\%` of the daily recommended amount (for adults).
Answer: 62.5%
Step-by-step explanation:
We can just divide 250% by 4 since Yosef drank 1/4th of the bottle.
250 / 4 = 62.5
Answer:
62.5
Step-by-step explanation:
OMG HELP RN
Sarah climbed 3,600 feet of the way up Pikes Peak and then stopped to rest. After she stops, she continues to climb at a rate of 85 feet per hour for h hours. Which expression indicates her elevation, in feet, h hours after she stops?
A.
3,600 ÷ 85 × h
B.
3,600 + 85 × h
C.
(3,600 + 85) ÷ h
D.
3,600 - 85 × h
Answer: the answer is d hope this helps if not i'm sorry
19 increased by twice joses savings
Answer:
19 x 2 38 is ur answer to the problem
Which irrational number is represented by point D? A) V175 B) V250 ) 1392 D) 440
Answer:
c that is the answer yes .
Answer:
Step-by-step explanation:
c i took the k121 online quiz in progress learning
I really need help with this I am really struggling
Answer:
324
Step-by-step explanation:
the answer 325
Answer:
[tex]\green{\rule{200pt}{555555pt}}[/tex]
[tex]\green{\rule{200pt}{555555pt}}[/tex]
[tex]\green{\rule{200pt}{555555pt}}[/tex]
[tex]\green{\rule{200pt}{555555pt}}[/tex]
[tex]\green{\rule{200pt}{555555p
A 9 in the thousandths place has 10 times the value of a 9 in the ? Place.
Answer:
10,000th place
Step-by-step explanation:
if a chocolate cake is divided into six equal slices and each slice has 280 calories
Answer:
Whats the question?
Step-by-step explanation:
Answer:
1,680
Step-by-step explanation
6 slices each 280 calories, 280 x 6 = 1,680
What is the approximate length of arc s on the circle below? Use 3.14 for r. Round your answer to the nearest
tenth
Answer:6.3 i believe
Step-by-step explanation:
Answer:
6.3
Step-by-step explanation:
circumference = 2πr
arc length = (included angle/360) * circumference
as an equation
s = (θ/360) * 2πr
s = (θ/180)πr
---------------------------
θ = 45
r = 8
s = (45/180) * 3.14 * 8
s = 6.28
rounded
s = 6.3
What are 5 rules to follow in a science lab?
Answer:
Step-by-step explanation:
1. Wear safety glasses
2. Be accompanied by an adult
3. Wear proper lab clothing
4. Alert Lab instructor if an accident were to happen
5. Follow all instructions given by lab instructor
How many containers of At the book store, Dan bought 17 books about the solar system, and 12 magazines about dinosaurs. If books cost $15 and magazines cost $4, how much did Dan spend at the book store? *cream will she be able to purchase? *
Answer:
303
Step-by-step explanation:
math
Please answer the 4 questions :)
Step-by-step explanation:
The lines or plains which contain R:
1. Parallel to SP ⇒ segment RQ2. Perpendicular to SP ⇒ segment RS3. Skew to SP ⇒ segment RK4. Plane parallel to KLM ⇒ plane RSPPLEASE HELP LOOK AT THE PIC BELOW
Answer:
The simplest answer is
[tex] \frac{16}{21} [/tex]
The reason how I got that is because to divide fractions, you have to turn them improper. Once you've done that, you then can multiply it by using the reciprocal of the second fraction. Once they are rearranged, multiply all the numerators by each other. do the same with the denominators and form a new fraction.
[tex] \sf \longmapsto1 \frac{1}{3 } \div 1\frac{3}{4} [/tex]
[tex]\sf \longmapsto \frac{4}{3} \div \frac{7}{4} [/tex]
[tex]\sf \longmapsto \frac{4}{3} \times \frac{4}{7} [/tex]
[tex]\sf \longmapsto \frac{4 \times 4}{3 \times 7} [/tex]
[tex]\sf \longmapsto \frac{16}{21} [/tex]
Therefore the answer is :
[tex]\sf \frac{16}{21} [/tex]
Please help with give branniest!!
(11/44)^ 3 = 11^3/14^3 = 1331/2744 = 0.48505
Round the answer as needed.
Select all ratios equivalent to 4:16.
3:12
6:48
5:4
Answer
Step-by-step explanation:
neither
brainlest
solve pls brainliest
Answer:
7
Step-by-step explanation:
What fraction of the rectangle is shaded? PLS PLS PLS help ASAP! Ty
9514 1404 393
Answer:
1/3
Step-by-step explanation:
The area of the rectangle is ...
A = lw = (21)(12)
The area of the shaded triangle is ...
A = 1/2bh = 1/2(14)(12) = (7)(12)
Then the fraction of the rectangle that is shaded is ...
(shaded area)/(rectangle area) = (7)(12)/((21)(12)) = 7/21 = 1/3
1/3 of the rectangle is shaded.
What is the equation for the line in slope-intercept form?
write the domain and rang of h using interval notation
We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.
the current population of earth is estimated to be about 7,440,000,000. express number in scientific notation
Answer:
7.44x10^9
Step-by-step explanation:
2. What is the sum of 5t + 9 - 3t + 4)?
Step-by-step explanation:
5t + 9 - 3t + 4
2t + 13
hope it's helpful
Evaluate the expression.
−12 ⋅ 1/3
Group of answer choices
4
-4
36
-36
Answer:
Option B. -4
Step-by-step explanation:
-12 x (1/3)
=> -12 ÷ 3
=> -4
Therefore, -4 is our answer.
Hoped this helped.