Answer:
The probability percentage that both players will be seniors is 15.38%.
Step-by-step explanation:
Given that a football team has 5 freshman, 8 sophomores, 11 juniors, and 16 seniors, if two are chosen at random to participate in the coin toss, to determine what is the probability that both players chosen will be seniors the following calculation must be done:
5 + 8 + 11 + 16 = 40
16/40 = X
4/10 = X
0.4 = X
15/39 = X
5/13 = X
0.38 = X
0.4 x 0.38 = X
0.1538 = X
Thus, the probability percentage that both players will be seniors is 15.38%.
llyssa spent 3/8 of her money on a bag. she gave 2/5 of the remaining amount to her sister. What fraction of her money was left with?
Answer:
3/8
Step-by-step explanation:
After spending 3/8 of her money on a bag, she has 5/8 of the original amount of money left. As she gave 2/5 of the remaining amount of money to her sister, she gave 1/4 of the original amount of money to her sister (5/8 × 2/5 = 1/4). Therefore, there's only 3/8 (1 - 3/8 - 1/4 = 3/8) of the original amount of money left in her bag.
Mr. Cox's round baler bales a 4-foot-wide bale having a 5.25 foot diameter. He wants to wrap
the bale in a white wrapper. He must allow an extra 10 percent for lapping. How many square
feet of wrapping does each bale require?
Answer:
109.27 ft²
Step-by-step explanation:
SA = face + face + curve
SA = 2πr² + 2πrw
= 2π(2.625)² + 2π(2.625)(4)
= ~43.3 + ~65.97 = 109.27 = SA
Tayler works at a bicycle shop. When he sells a bicycle, he earns 6% of the sale price as a commission. One day Tayler sold 1 bicycle for $125 and 2 bicycles for $75 each. What was the total amount of commission he earned?
What is the explicit formula for the geometric sequence 15, 3, 0.6,
0.12, ...?
Answer:
A
Step-by-step explanation:
first num is 15
ratio is 0.2
formula is a.r^n-1
Find the missing angle of each triangle.
Answer:
1 is 64
2 is 85
3 is 56 hope this helps
Step-by-step explanation:
also how give brainly i want to give u brainly
I need help what's the answer anyone?
Answer:
B
Step-by-step explanation:
Mode of certain scores is x. If each score is decreased by 3, then find the mode of the new series.
Step-by-step explanation:
It is given that mode of certain scores is x It means x is the score with highest frequency.
common difference is -3
So, the new mode of the score is
New Mode = 3
Therefore the new mode of the new series is x-3.
33√8
9√20
444÷333
5552×333
3÷99
44√5
6622÷33
Step-by-step explanation:
93.340.21.318488163398.3200.6if u want it by step by step thn tell me i will do that..
How can 26n - 7m +4(10n - 6m) be rewritten? A. 36n - 13m B. 40n - 9m C. 66n - 31m D. 35mn
Answer:
C. 66n - 31m
Step-by-step explanation:
26n - 7m + 4(10n - 6m)
26n - 7m + 40n - 24m
26n - 31m + 40n
66n - 31m
The table gives predictions of the average costs of a gasoline car after the year 2030. Which graph best represents the relationship between time and the predicted cost?
Answer:
It's the b graph
Step-by-step explanation:
Khan Academy.
Answer:
The line slightly curves.
Step-by-step explanation:
Got it right on Khan
Which statement best describes the values of x and y in the table
Answer:
Answer A
Step-by-step explanation:
As the value of x increases by 2 the value of y increases by 4
The measure of an angle is 149.5°. What is the measure of its supplementary angle?
Answer:
30.5°
Step-by-step explanation:
Supplementary angles add up to 180°. You know one angle is 149.5°, so you can find the other angle.
Measure of its supplementary angle = 180° - 149.5°
= 30.5°
Carol has a choice of an account that compounds quarterly and an account that compounds daily.
If they both have the same interest rate, which will earn more interest?
The account that compounds quarterly.
The account that compounds daily.
They will both earn the same interest
Answer: The account that compounds daily.
Step-by-step explanation: If you reinvest your money more frequently, then you will also be able to earn interest on the interest that you earned the previous day and so on.
Simplify the numeric expression below. Show all
work.
8-12-(6 + 4)
Answer:
negative 14 or -14
Step-by-step explanation:
8-12-10
= 8-22
= -14
Jeremiah answered 20
out of 25 questions
correctly on the math test.
What percent of the
questions did Jeremiah
answer correctly?
Answer:
he got 80 percent correct
6) Supplementary Exercise 5.51
A consumer advocate claims that 80 percent of cable television subscribers are not satisfied with their cable service. In an attempt to justify this claim, a randomly selected sample of cable subscribers will be polled on this issue.
(a)
Suppose that the advocate's claim is true, and suppose that a random sample of five cable subscribers is selected. Assuming independence, use an appropriate formula to compute the probability that four or more subscribers in the sample are not satisfied with their service. (Do not round intermediate calculations. Round final answer of p to 1 decimal place. Round other final answers to 4 decimal places.)
The answer for 6(a) is P( Xâ¥4) = P ( x = 4) + P (x = 5) = 5/4 * 0.84 * 0.21 + 5/5 * 0.85 * 0.20 = 0.737
(b)
Suppose that the advocate's claim is true, and suppose that a random sample of 25 cable subscribers is selected. Assuming independence, find each of the following: (Do not round intermediate calculations. Round final answer of p to 1 decimal place. Round other final answers to 4 decimal places.)
1.
The probability that 15 or fewer subscribers in the sample are not satisfied with their service.
The answer for 6(b)1 is P(Yâ¤15) = 1 - P( Y > 20) - X20, i = 16 P ( Y = i) = 1- 0.421 - 0.562 = 0.017
2.
The probability that more than 20 subscribers in the sample are not satisfied with their service.
The answer for 6(b)2 is
3.
The probability that between 20 and 24 (inclusive) subscribers in the sample are not satisfied with their service.
The answer for 6(b)3 is P(20 > Y < 24) = 1 - 0.421 - 0.1867 - 0.1358 - 0.0708 - 0.0236 = 0.1621
4.
The probability that exactly 24 subscribers in the sample are not satisfied with their service.
The answer for 6(b)4 is P( Y = 24) = 0.0236
(c)
Suppose that when we survey 25 randomly selected cable television subscribers, we find that 15 are actually not satisfied with their service. Using a probability you found in this exercise as the basis for your answer, do you believe the consumer advocate's claim? Explain. (Round your answer to 4 decimal places.)
Answer:
[tex]P(X \le 4) = 0.7373[/tex]
[tex]P(x \le 15) = 0.0173[/tex]
[tex]P(x > 20) = 0.4207[/tex]
[tex]P(20\ge x \le 24)= 0.6129[/tex]
[tex]P(x = 24) = 0.0236[/tex]
[tex]P(x = 15) = 1.18\%[/tex]
Step-by-step explanation:
Given
[tex]p = 80\% = 0.8[/tex]
The question illustrates binomial distribution and will be solved using:
[tex]P(X = x) = ^nC_xp^x(1 - p)^{n-x}[/tex]
Solving (a):
Given
[tex]n =5[/tex]
Required
[tex]P(X\ge 4)[/tex]
This is calculated using
[tex]P(X \le 4) = P(x = 4) +P(x=5)[/tex]
This gives:
[tex]P(X \le 4) = ^5C_4 * (0.8)^4*(1 - 0.8)^{5-4} + ^5C_5*0.8^5*(1 - 0.8)^{5-5}[/tex]
[tex]P(X \le 4) = 5 * (0.8)^4*(0.2)^1 + 1*0.8^5*(0.2)^0[/tex]
[tex]P(X \le 4) = 0.4096 + 0.32768[/tex]
[tex]P(X \le 4) = 0.73728[/tex]
[tex]P(X \le 4) = 0.7373[/tex] --- approximated
Solving (b):
Given
[tex]n =25[/tex]
i)
Required
[tex]P(X\le 15)[/tex]
This is calculated as:
[tex]P(X\le 15) = 1 - P(x>15)[/tex] --- Complement rule
[tex]P(x>15) = P(x=16) + P(x=17) + P(x =18) + P(x = 19) + P(x = 20) + P(x = 21) + P(x = 22) + P(x = 23) + P(x = 24) + P(x = 25)[/tex]
[tex]P(x > 15) = {25}^C_{16} * p^{16}*(1-p)^{25-16} +{25}^C_{17} * p^{17}*(1-p)^{25-17} +{25}^C_{18} * p^{18}*(1-p)^{25-18} +{25}^C_{19} * p^{19}*(1-p)^{25-19} +{25}^C_{20} * p^{20}*(1-p)^{25-20} +{25}^C_{21} * p^{21}*(1-p)^{25-21} +{25}^C_{22} * p^{22}*(1-p)^{25-22} +{25}^C_{23} * p^{23}*(1-p)^{25-23} +{25}^C_{24} * p^{24}*(1-p)^{25-24} +{25}^C_{25} * p^{25}*(1-p)^{25-25}[/tex]
[tex]P(x > 15) = 2042975 * 0.8^{16}*0.2^9 +1081575* 0.8^{17}*0.2^8 +480700 * 0.8^{18}*0.2^7 +177100 * 0.8^{19}*0.2^6 +53130 * 0.8^{20}*0.2^5 +12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1 +1 * 0.8^{25}*0.2^0[/tex]
[tex]P(x > 15) = 0.98266813045[/tex]
So:
[tex]P(X\le 15) = 1 - P(x>15)[/tex]
[tex]P(x \le 15) = 1 - 0.98266813045[/tex]
[tex]P(x \le 15) = 0.01733186955[/tex]
[tex]P(x \le 15) = 0.0173[/tex]
ii)
[tex]P(x>20)[/tex]
This is calculated as:
[tex]P(x>20) = P(x = 21) + P(x = 22) + P(x = 23) + P(x = 24) + P(x = 25)[/tex]
[tex]P(x > 20) = 12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1 +1 * 0.8^{25}*0.2^0[/tex]
[tex]P(x > 20) = 0.42067430925[/tex]
[tex]P(x > 20) = 0.4207[/tex]
iii)
[tex]P(20\ge x \le 24)[/tex]
This is calculated as:
[tex]P(20\ge x \le 24) = P(x = 20) + P(x = 21) + P(x = 22) + P(x =23) + P(x = 24)[/tex]
[tex]P(20\ge x \le 24)= 53130 * 0.8^{20}*0.2^5 +12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1[/tex]
[tex]P(20\ge x \le 24)= 0.61291151859[/tex]
[tex]P(20\ge x \le 24)= 0.6129[/tex]
iv)
[tex]P(x = 24)[/tex]
This is calculated as:
[tex]P(x = 24) = 25* 0.8^{24}*0.2^1[/tex]
[tex]P(x = 24) = 0.0236[/tex]
Solving (c):
[tex]P(x = 15)[/tex]
This is calculated as:
[tex]P(x = 15) = {25}^C_{15} * 0.8^{15} * 0.2^{10}[/tex]
[tex]P(x = 15) = 3268760 * 0.8^{15} * 0.2^{10}[/tex]
[tex]P(x = 15) = 0.01177694905[/tex]
[tex]P(x = 15) = 0.0118[/tex]
Express as percentage
[tex]P(x = 15) = 1.18\%[/tex]
The calculated probability (1.18%) is way less than the advocate's claim.
Hence, we do not believe the claim.
What's 9+7
Please help
Answer:
9 + 7 = 16
9 - 7 = 2
9/7 = 1.28571429
9 x 7 = 63
Step-by-step explanation:
have a good day
Answer:
16
Step-by-step explanation:
because if you add the 9 and 7 together it will get you to 16
for Example:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 3 4 5 6/7 8 9 10 11 12 13 14 15 16
you just add 9 and 7 and you will get 16
so that answers your question
What's 9+7 Please help
answer: 16
Hope this helps
Pls help I need a good grade
Answer:
Step-by-step explanation:
13). [tex]-\frac{q}{7}\geq -1[/tex]
[tex]\frac{q}{7}\leq 1[/tex]
[tex](\frac{q}{7}\times 7)\leq (1\times 7)[/tex]
q ≤ 7
14). -12x < 60
12x > -60
[tex]\frac{12x}{12}>\frac{-60}{12}[/tex]
x > -5
15). 5 > z - 3
5 + 3 > z - 3 + 3
8 > z
16). 0.5 ≤ [tex]\frac{y}{8}[/tex]
0.5 × 8 ≤ [tex]\frac{y}{8}\times 8[/tex]
4 ≤ y
Now we can draw these inequalities on a number line.
Tell whether −5 is a solution of y+8>3
Step-by-step explanation:
y>3-8
y>-5
The solutions are in the interval ]-5,○○[
Plss help me will mark brainliest
Answer:
45-degrees
Step-by-step explanation:
The triangle is a 90-degree triangle
Triangles = 180-degrees
90 + 45 + 45 = 180
Meggie starts with 100$ in her account.she wants to deposit 5$ per week . write an equation in slope intercept form to represent this situation
Answer:
y = 5x + 100
Step-by-step explanation:
On Triangle ABC, Angle A measures 30 degrees, Angle B measures 90 degrees, and Angle C measures 60 degrees. List the sides of Triangle ABC in order from shortest to longest.
Answer:
A=30 B=90 C=60
Step-by-step explanation:
A=30 C=60 B=90
A dot plot titled Number of runs scored going from 0 to 5. 0 has 2 dots, 1 has 4 dots, 2 has 6 dots, 3 has 4 dots, 4 has 2 dots, and 5 has 1 dot. What is a dot plot and how do you read it? Check all that apply. A dot plot displays data values as dots above a number line. Dot plots show the frequency with which a specific item appears in a data set. There was 1 run in 5 of the games. There were 0 runs in 2 of the games. Dot plots show the distribution of the data. There were a total of 19 games.
Answer:
abdef (those are the answers)
Step-by-step explanation:
Answer:
all but C
Step-by-step explanation:
A 10-foot ladder is leaning against a tree. The bottom of the ladder is 6 feet away from the bottom of the tree. About how high up the tree does the top of the ladder reach?
4 feet
6 feet
8 feet
16 feet
Answer:
8 feet
Step-by-step explanation:
Ladder = hypotenuse
bottom of ladder to tree = leg
x, 6, 10
Clear 3-4-5 triangle so,
x=8
Please prove the following trigonometric identity.
[tex]\cos^2(5x)-\sin^2(5x)=\cos(10x)[/tex]
Answer:
See Below.
Step-by-step explanation:
We want to verify the trigonometric identity:
[tex]\cos^2(5x)-\sin^2(5x)=\cos(10x)[/tex]
For simplicity, we can let u = 5x. Therefore, by substitution, we acquire:
[tex]\cos^2(u)-\sin^2(u)[/tex]
Recall the double-angle identity formula(s) for cosine:
[tex]\displaystyle \begin{aligned} \cos(2x)&=\cos^2(x)-\sin^2(x)\\&=2\cos^2(x)-1\\&=1-2\sin^2(x)\end{aligned}[/tex]
Therefore, our identity becomes:
[tex]=\cos(2u)[/tex]
Back-substitute:
[tex]=\cos(2(5x))=\cos(10x)\stackrel{\checkmark}{=}\cos(10x)[/tex]
Hence proven.
cos²A - sin²A = cos2A, this is a general indentity where A can have any random value x/2, y/3, 1/8, 8, 9 etc.
Replacing A with 5x:
=> cos²(5x) - sin²(5x) = cos²(10x)
Moreover,
cos(A + B) = cosAcosB - sinAsinB.
When A = B,
cos(A + A) = cosAcosA - sinAsinA
cos2A = cos²A - sin²A
You can do the same with 5x.
cos(10x) = cos(5x + 5x)
cos(10x) = cos(5x)cos(5x) - sin(5x)sin(5x)
cos(10x) = cos²(5x) - sin²(5x)
find-5/6÷(-1/2) write the answer in the lowest terms.
Answer:
[tex]\dfrac{-5}{3}[/tex]
Step-by-step explanation:
We need to solve the given expression in the lowest form i.e.
[tex]\dfrac{5}{6}\div (-\dfrac{1}{2})[/tex]
We know that,
[tex]\dfrac{a}{b}\div \dfrac{c}{d}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]
So,
[tex]\dfrac{5}{6}\div (-\dfrac{1}{2})=\dfrac{5}{6}\times (-2)\\\\=\dfrac{-5}{3}[/tex]
So, the lowest form is equal to [tex]\dfrac{-5}{3}[/tex].
In a pre-election poll, 58% of a large random sample of voters responded as planning to vote for the school enhancement millage. A 95% confidence interval was computed for the proportion of all such voters who plan to vote for the school enhancement millage. Review each of the following statements regarding the meaning of the 95% confidence level. Determine if it is a correct (true) meaning or incorrect (false).
Answer: Hello the statement related to your question is missing attached below is the statement
answer : The statement is false
Step-by-step explanation:
The statement is false
This is because a confidence interval gives a range of values for an unknown parameter.
A 95% confidence interval is calculated and it gives a lower and upper limit in which the 58% of the voters can fall into i.e. The 58% of voters can fall within the upper and lower limit of the 95% confidence interval and not exactly 95% . Hence the statement is false.
PLSSS ANSWERRR HAVE TO HAVE IT DONE IN 10 MIN
Answer:
466.2 ft²
Step-by-step explanation:
10x24=240
1/2[tex]\pi[/tex]12²=226.194671
240+226.194671=466.194671
PLEASE HELP!!! WILL MARK BRAINLIEST!!! Answers only related to the question please!
Exponential functions have the form f(x)= b^x. What type of an exponential function would you have (increasing or decreasing) if the value of b is greater than one?
Answer:
x is form
Step-by-step explanation:
HELP ASAP!!!hahahahsna s densllalsjdnd dnsksk
Answer:
A = (-7,6)
B = (2,4)
C = (-6,0)
Step-by-step explanation:
A = (-9 + 2, 2 + 4)
B = (0 + 4, 0 + 4)
C = (-8 + 2, -4 + 4)
