The width of a rectangle is four feet more than six times its length, L. If the perimeter of the rectangle is 568
feet, what is the length of the rectangle?
Answer:
Hi there!
Your answer is:
The length is 40
Step-by-step explanation:
W=4+6L
P=568
Perimeter formula
W+W+L+L=568
Plug in known values!
(4+6L)+(4+6L) + L +L = 568
Solve for L
14L + 8 = 568
-8
14L = 560
/14
L=40
The ray G is the angle bisector of FGH and m FGH = 35°. Enter m.FG). The measure of ZFGJ is
Answer:
If ray GJ is an angle bisector of ∠FGH, it cuts the ∠FGH into two equal angles making ∠FGJ = 25° and ∠HGJ=25° for a sum of 50°. ∠FGJ=25°Can anybody help with this math problem?
Blank 1 = same slope
Blank 2 = negative reciprocals
Question:
(-11x-11x-11)=?
Answer:
-22x-11
Step-by-step explanation:
Your welcome! :)
Write the number in scientific notation.
1,920,000
8(15-4)
----------
4²-5
Step-by-step explanation:
8(15-4)
----------
4square - 5
= 8(15-4)
=120 - 32
= 88
4square - 5
=4×4 = 16
16 - 5
= 11
therefore,
88/11
= 8
Plz help first person to get correct I’ll cash app or pay pal you 5$. Answer and add your cash app or PayPal.
Answer:
c(x)=9+3.5
Step-by-step explanation:
Hope this helps
Cash app is $Lilibug17
Write 0.000073 in scientific notation
Answer:
7.3x10^-7
Step-by-step explanation:
you move the decimal to the right 7 times.
Hope this helps.
Answer:
[tex]10^-^5[/tex] [tex]*73[/tex]
Step-by-step explanation:
So in 0.000073, 7 is the fifth digit in the term so we can write it as [tex]10^-^5[/tex] * 73
or 10 to power of negative 5 multiplied by 73.
Given that every seventh person in line will get a coupon for a free box of popcorn at the movies, what is the probability that you don’t get a coupon when you’re in line? Enter a fraction or round your answer to 4
decimal places, if necessary.
Answer:
0.857
Step-by-step explanation:
Given that :
Every seventh person gets a free box of popcorn ; then not getting a free box of popcorn means you're not the 7th person inline.
However, since the order of arrangement is unknown, but one person out of every 7 gets ;
Probability of getting a popcorn is hence ;
p(getting popcorn) = 1/7
Probability of not getting will then be its complement :
1 - (1/7) = 6/7 = 0.857
Simplify this expression (4ab^2)^3
Answer:
(48b 2) 3
Step-by-step explanation:
The answer is A) The simplified expression is a polynomial. & B)The simplified expression has a constant term.
What is a polynomial for example?Polynomials are sums of phrases of the form okay⋅xⁿ, where ok is any range and n is an effective integer. as an instance, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers commonplace terminology like phrases, diploma, fashionable form, monomial, binomial and trinomial.
Here, we have,
A polynomial is described as an expression that consists of variables, constants, and exponents, which can be mixed with the usage of mathematical operations including addition, subtraction, multiplication, and department (No department operation by way of a variable).
t³(8 + 9t) - (t² + 4)(2 - 3t)
= 8t³ + 9t⁴ - (2t² - 3t³ + 8 - 12t)
= 8t³ + 9t⁴ - 2t² + 3t³ - 8 + 12t
= 9t⁴ + 11t³ - 2t² + 12t - 8.
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complete question;
T^3(8 + 9t) - (t2 + 4) (2 – 3t)
The simplified expression is a polynomial.
The simplified expression has a constant term.
The simplified expression is cubic.
The simplified expression has four terms.
The simplified expression is a trinomial
1. If a car must have at least 2 passengers in order to be in the carpool lane on this highway, what is the probability that a randomly selected car is allowed to be in the carpool lane?
P(x>2) .15+.10+ .3+ .2= .30
2. Find the probability that a randomly selected car on this highway has fewer than 4 occupants.
P(x<4)= p(x<3)=
.70+ .15+ .10= .95
3. Calculate the mean of this probability distribution. Click on the tool "Insert Math Equation" in the toolbar above to write your answers using correct notation and round it to one more decimal than is contained in the data (type out your calculations).
E(x) is
1(x) p(1) + 2p(2) + 3p(3)+ 4p(4)+ 5p(5)
.70+.30+.30+.12+.10
=1-52
4. Explain what your answer to #3 means in the context of this problem.
Mean is the expected value and measure of tendency following is the probability of distribution
5. What shape would the probability histogram of this probability distribution have (you do not have to actually create or embed the histogram)? Explain the meaning of this in context. In other words, what does this tell you about the driving habits of most drivers on this highway?
Most drivers have more than 2 passengers while driving in the carpool lane on the freeway
Answer:
4
Step-by-step explanation:
Given: f(x) = -2x + 10
Find: f(2)
Answer: 4
Step-by-step explanation: Subtract 10 from each sides and divide both sides by -2
Express 26 as sum of 3 odd primes
Given two dependent random samples with the following results:
Population 15666696660595654
Population 26564746463645460
Can it be concluded, from this data, that there is a significant difference between the two population means?
Let d=(Population 1 entry)−(Population 2 entry). Use a significance level of α=0.02 for the test. Assume that both populations are normally distributed.Step 1 of 5 :
State the null and alternative hypotheses for the test.
Answer:
The null hypothesis will not be rejected.
Step-by-step explanation:
The hypothesis for the test is:
H₀: There is no difference between the two population means, i.e. d = 0.
Hₐ: There is a significant difference between the two population means, i.e. d ≠ 0.
Consider the Excel output attached.
The mean of the differences is, [tex]\bar d=-2.75[/tex].
The standard deviation of the differences is, [tex]S_{d}=4.268[/tex].
Compute the test statistic as follows:
[tex]t=\frac{\bar d}{S_{d}/\sqrt{n}}=\frac{-2.75}{4.268/\sqrt{8}}=-1.82[/tex]
The degrees of freedom is, n - 1 = 7.
Compute the p-value as follows:
[tex]p-value=2\cdot P(t_{7}<-1.82)=0.112[/tex]
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
p-value = 0.112 > α = 0.02.
The null hypothesis will not be rejected.
PLEASE HELP ME AS SOON AS POSSIBLE PLEASE
nevermind, I got the wrong answer. not sure how to delete my own answers :/
Answer:
Step-by-step explanation:
Simplify.
Rewrite the expression in the form z^n
z^7/z^-14
=
21
Step-by-step explanation:
z^7/z^-14=21
z^21=21
For each part of this problem, show all your work and write a probability statement.
Investigators recently reported the results a study designed to assess whether or not the herb, St. John’s Wort is effective in treating moderately severe cases of depression. The study involved 338 subjects, randomly assigned to receive one of three treatments: St. John’s Wort, Zoloft, or a placebo. The authors were primarily interested in whether St. John’s Wort performed better than placebo and included Zoloft as a "way to measure how sensitive the trial was to detecting antidepressant effects." Their results are presented in the table below:
St. John's Wort Placebo Zoloft Total
Full Response 27 37 27 91
Partial Response 26 13 26 55
No Response 70 66 56 192
Total 113 116 109 138
1. What is the probability that a randomly selected subject had no response?
2. What is the probability that a randomly selected subject was treated with Zoloft and had a full response?
3. What is the probability that a randomly selected subject had a full or partial response given they were treated at St. John's Wort?
4. What is the probability that a randomly selected subject who didn't have a full response was treated with Placebo?
Answer:
Follows are the answer to the given point.
Step-by-step explanation:
In point 1:
[tex]\to P( \text{number of response}) = \frac{192}{338} \\[/tex]
[tex]= \frac{96}{169}\\\\= 0.56[/tex]
In point 2:
[tex]\to P| \text{(Zoloft and fill response)}| = \frac{27}{338}[/tex]
[tex]= 0.079[/tex]
In point 3:
[tex]\to P(\frac{\text{ full or partial}}{\text{St. John's Wort}}) = \frac{\frac{43}{338}}{\frac{113}{338}}[/tex]
[tex]= \frac{43}{338} \times \frac{338} {113}\\\\= \frac{43}{113}\\\\= 0.38[/tex]
In point 4:
[tex]\to P(\frac{\text{Placebo}}{\text{full or response}}) = P(\frac{(\text{Placebo} \cap \text{full or response})} {\text{p(full response)}})[/tex]
[tex]= \frac{\frac{79}{338}}{ 1- \frac{91}{338}} \\\\ = \frac{\frac{79}{338}}{ \frac{338-91}{338}} \\\\ = \frac{\frac{79}{338}}{\frac{247}{338}} \\\\ = \frac{79}{338} \times \frac {338}{247} \\\\= \frac{79}{274} \\\\ = 0.28[/tex]
Multiply:
8.94 x 354
Submit
Answer:
3164.76
Step-by-step explanation:
divide the numbers.
and don't forget the decimal
Answer:
3164.76
Step-by-step explanation:
Hope this helps!
What is the solution to 5a - 15+9a=3a+29
Answer:
a = 4
Step-by-step explanation:
5a - 15 + 9a = 3a + 29
14a - 15 = 3a + 29
11a - 15 = 29
11a = 44
a = 4
k-x=y+w, for x
Solve the equation for each indicated variable
Answer:
-x=y+w-k
-x.-1=-1.(y+w-k)
x=-y-w+k
Tell whether the fraction is in simplest form 25/42
Answer:
it's already in the simplest form
Yes... It is in the simplest form..
If this answer helps you plz mark as brainlist..Tq..The IQ scores and science test scores of fourth grade students is given by the regression line ŷ = −20.3 + 0.7489s, where ŷ is the predicted science score and s is the IQ score. An actual science test score for a student is 52.6 with an IQ of 100. Find and interpret the residual.
Answer:
24
Step-by-step explanation:
Given the equation of the regression line :
y = - 20.3 + 0.489s
where ŷ is the predicted science score
s = IQ score
An actual science test score for a student is 52.6 with an IQ of 100.
Find and interpret the residual.
The predicted science test score for a student with an IQ of 100 is :
y = - 20.3 + 0.489(100)
y = - 20.3 + 48.9
y = 28.6
The residual = actual - predicted score
The residual = 52.6 - 28.6 = 24
Hence, the residual is 24 which is the error in prediction made about the actual score.
Answer:
−1.99; The regression line overpredicts the student's science test score.
Step-by-step explanation:
Here are the total scores of 10 students in an introductory statistics course.
62 93 54 76 73 98 64 55 80 71
Previous experience with this course suggests that these scores should come from a distribution that is approximately Normal with mean 72 and standard deviation 10. The grading policy says that the cutoffs for the other grades correspond to the following: bottom 5% receive F, next 15% receive D, next 35% receive C, and next 30% receive B. These cutoffs are based on the N(72, 10) distribution.
A) Give the cutoffs for the grades in this course in terms of standardized scores.
B) Give the cutoffs in terms of actual total scores.
C) Do you think that this method of assigning grades is a good one?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Mean (m) = 72
Standard deviation (sd) = 10
Grading cutoff policy:
bottom 5% receive F
next 15% receive D
next 35% receive C
next 30% receive B
A) Give the cutoffs for the grades in this course in terms of standardized scores.
Standardized score for grade cutoff:
Locating the Zscore for the proportions on the z table :
Bottom 5% = 0.05 ; corresponding Zscore = - 1.645
next 15% receive D = (5 +15)% 0.20 ; corresponding Zscore = - 0.84
next 35% receive C = (20+35)% = 0.55 ; corresponding Zscore = 0.13
next 30% receive B = (55 + 30)% = 0.85 ; Corresponding Zscore = 1.04
B) Give the cutoffs in terms of actual total scores.
Recall:
Zscore = (x - m) /sd ; where x = actual score
x = sd*z + m
For F:
10*(-1.645) + 72 = 55.55
For D:
10*(-0.84) + 72 = 63.6
For C:
10*(0.13) + 72 = 73.3
For B:
10*(1.04) + 72 = 82.4
C) Do you think that this method of assigning grades is a good one?
Yes, it is good in terms of expressing scores around the mean such that score below are negative and those above are positive. However, it is a little bit ambiguous.
?????????????????????
Answer: A C AND E
Step-by-step explanation:
Plz help on this question, I’ve got a mind blank
Answer:
ist cubes man
Step-by-step explanation:
HELPPPP DUE TODAY!
Any one who answers will be marked brainliest please.
The table contains the points of an absolute value function. Compare it to the function f(x)=−2|x−7|−4 .
x g(x)
1 −2
2 −1
3 −2
4 −3
Which function has the largest maximum and what is the value of the largest maximum?
A-The function f(x) has the largest maximum which is −1 .
B-The function f(x) has the largest maximum which is −4 .
C-The function g(x) has the largest maximum which is −1 .
D-The function g(x) has the largestmaximum which is −4 .
Please help as soon as possible!
Answer:
I had the same question and guessed but i got 100% on it. The following snip is the answer
Step-by-step explanation:
The function g(x) has the largest maximum which is −1 option (C) is correct if the equation for the function f(x) is f(x)=−2|x−7|−4.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The function:
f(x) = -2|x - 7| - 4
Plug x = 1
f(1) = -16
Plug x = 2
f(2) = -14
Plug x = 3
f(3) = -12
Plug x = 4
f(3) = -10
From the table:
The function g(x) has the largest maximum which is −1.
Thus, function g(x) has the largest maximum which is −1 option (C) is correct if the equation for the function f(x) is f(x)=−2|x−7|−4.
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The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by
(2x + 3)°. What is the value of x? What is the measure of each base angle?
x =
Each base angle measures
°.
Answer:
x=33 and angle=69
Step-by-step explanation:
just got it on a test
Measure of x = 69 degree.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that,
vertex angle = 42 degree
Angle of base angle = (2x + 3)°
Use the knowledge that the sum of the base angles in an isosceles triangle equals 180° minus the vertex angle to find the value of x.
Thus,
Vertex angle is,
(2x + 3)° + (2x + 3)° = 180° - 42°
Base angle + Base angle = 180° - 4x + 6 = 138
4x = 132 x = 33
We substitute x = 33 into (2x + 3)°
To determine the magnitude of each base angle:
Base angle equals (x + 3)°
Base angle = (2 x 33 plus 3).
Angle at base: 69° As a result, each base angle is 69°.
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A trucking company operates in three regions of the country. The table below depicts the probability that each
company truck is in the region and the fuel prices per gallon. What amount should the company budget on average
for a gallon of fuel across its operations? Round your answer to the nearest cent.
Question: A trucking company operates in three regions of the country. The table below depicts the probability that each company truck is in the region and the fuel prices per gallon. What amount should the company budget on average for a gallon of fuel across its operations? Round your answer to the nearest cent.
Answer:
A. $3.53
B. $3.55
C. $3.68
D. $3.70
The amount that the company should put on average for a gallon across the operations is $ 3.70. This option D is correct.
What does the trucking operations of the company?The company of trucks runs operations in several countries as per the table each region has distinct scores of probability and as the company that is farthest from the market has more wages as compared to that is the nearest
The percentage is 100 and probability counts as compared to one. Thus 50% is 0.50. If assuming X is the cost of fuel then using the formula we get.
[tex]Mean = E (X) = f(xi) xi[/tex]
E(X) = 3.10 x 0.2 +3.5 x 0.3 +4.05 x 0.5 = 3.69 that is 3.70 dollars.
Find out more information about the company operates.
brainly.com/question/26676604.
The complete question is :
A trucking company operates in three regions of the country. The table below depicts the probability that each company truck is in the region and the fuel prices per gallon. What amount should the company budget on average for a gallon of fuel across its operations? Round your answer to the nearest cent.
A. $3.53
B. $3.55
C. $3.68
D. $3.70
Solve each inequality below.
7. -4x < 32
O x 28
OX-8
O X 36
O X8
Step-by-step explanation:
2nd one I think.........?
"If you subtract 19 from my number and multiply the difference by -2, the result is -8 ." What is 's number?
Answer:
23
Step-by-step explanation:
Do the steps in reverse.
-8 divided by -2 = 4
4 + 19 = 23
Your answer is 23
Hope I helped :)
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