Answer:
3 11/21
Step-by-step explanation:
2 2/3=(2*3+2)/3=8/3
8/3+6/7=56/21+18/21=74/21 or 3 11/21
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. Suppose that the mean income is found to be $23.7 for a random sample of 4825 people. Assume the population standard deviation is known to be $11.2. Construct the 90% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place.
Hello pls help will give good old BRAINLYEST YAY
Answer:
D
Step-by-step explanation:
The mean, median, and mode all are 3
1. A luge race is very dangerous, and a crash can cause serious injuries. The league requires anyone who has a crash to have a thorough medical screening before they are allowed to race again. A certain performer has an independent .04 probability of a crash in each race. a) What is the probability she will have her first crash within the first 30 races she runs this season
Answer:
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
Step-by-step explanation:
For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A certain performer has an independent .04 probability of a crash in each race.
This means that [tex]p = 0.04[/tex]
a) What is the probability she will have her first crash within the first 30 races she runs this season
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
When [tex]n = 30[/tex]
We have that:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{30,0}.(0.04)^{0}.(0.96)^{30} = 0.2939[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2939 = 0.7061[/tex]
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
Look at the diagram.
What type of angle is angle B?
What type of angle is angle D?
Answer:
B - obtuse
D - acute
Step-by-step explanation:
Answer:
I think angle B is an obtuse angle and D is an acute angle. I'm not sure.
Hope this helps :)
Mrs. Nesbitt had 97 books in her classroom library she received a grant to expand her classroom library After spending the money she had 213 books what is the percent increase?
Answer:
219 percent
Step-by-step explanation:
97 goes into 213 two times which is a 200 percent increase which leaves 18 books. 18.5 percent of 97 is about 18 so rounded up it is a 219 percent increase
If f(x)=x^5+5x^3+4, what is the remainder when f(x) is divided by x-2?
By the polynomial remainder theorem, the remainder is
f (2) = 2⁵ + 5×2³ + 4 = 32 + 40 + 4 = 76
(The theorem says a polynomial p(x) has remainder p(c) upon dividing it by x - c.)
I BEG FOR MY LIFE EZ PLS
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Answer:
B and D
Step-by-step explanation:
This is because for B you do 8x9x1 which is basically 8x9 which is 72. Then, for D you do 12x3x2. Do 3x2 first and you get 6. Then, do 6x12 which is also 72. So the correct answers that will give you the volume of 72 units cube is B and D. Hope this helps!
Corey spent 18 minutes coloring. She spent 6 times as many minutes reading
Answer:
18 x 6 =108. she spent 108 minutes reading.
Step-by-step explanation:
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
(2, 5)
Step-by-step explanation:
(x,y) -> )- y,x)
10×2+5÷2
its so easy
Answer:
10×2+ 5÷2
=20+2.5
=22.5
You pick a card at random.
7 8 9
What is P(not 7)?
Write your answer as a fraction or whole number.
QUESTION 9 of 10: You get 6 price quotes for a used commercial oven: $7,000; $2,000; $9,000; $3,000; $5,000; $4,000. What is the median price quote
Answer:
4,500
Step-by-step explanation:
just cause
Median of the given set of price is $4500
What is median?The median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution
Given set of data = $7000, $2000, $9000, $3000, $5000, $4000
Order the values from low to high
$2000, $3000, $4000, $5000, $7000, $9000
Find the middle term
Here number of terms = 6
It is even number
Then find [tex]\frac{n}{2}[/tex] and [tex]\frac{n}{2}+1[/tex] terms
[tex]\frac{n}{2}=\frac{6}{2}=3[/tex]
[tex]\frac{n}{2}+1=3+1=4[/tex]
Median is the mean of the 3rd value and 4th value
Median =[tex]\frac{4000+5000}{2}=4500[/tex]
Hence, the median of the given set of price is $4500
Learn more about Median here
https://brainly.com/question/15923434
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A fast-food restaurant operates both a drive through facility and a walk-in facility. On a randomly selected day, let X and Y, respectively, be the proportions of the time that the drive-through and walk-in facilities are in use, and suppose that the joint density function of these random variables is,
f (x, y) ={2/3(x+2y) 0 ≤ x ≤ 1 , 0 ≤ y ≤ 1
(a) Find the marginal density of X.
(b) Find the marginal density of Y .
(c) Find the probability that the drive-through facility is busy less than one-half of the time.
Answer:
[tex](a)\ g(x) = \frac{2}{3}(x+1)[/tex]
[tex](b)\ h(y) = \frac{1}{3}[1 + 4y][/tex]
[tex](c)[/tex] [tex]P(x>0.5) =\frac{5}{12}[/tex]
Step-by-step explanation:
Given
[tex]f(x,y) = \left \{ {{\frac{2}{3}(x+2y)\ \ 0\le x \le 1,\ 0\le y\le 1} \right.[/tex]
Solving (a): The marginal density of X
This is calculated as:
[tex]g(x) = \int\limits^{\infty}_{-\infty} {f(x,y)} \, dy[/tex]
[tex]g(x) = \int\limits^{1}_{0} {\frac{2}{3}(x + 2y)} \, dy[/tex]
[tex]g(x) = \frac{2}{3}\int\limits^{1}_{0} {(x + 2y)} \, dy[/tex]
Integrate
[tex]g(x) = \frac{2}{3}(xy+y^2)|\limits^{1}_{0}[/tex]
Substitute 1 and 0 for y
[tex]g(x) = \frac{2}{3}[(x*1+1^2) - (x*0 + 0^2)}[/tex]
[tex]g(x) = \frac{2}{3}[(x+1)}[/tex]
Solving (b): The marginal density of Y
This is calculated as:
[tex]h(y) = \int\limits^{\infty}_{-\infty} {f(x,y)} \, dx[/tex]
[tex]h(y) = \int\limits^{1}_{0} {\frac{2}{3}(x + 2y)} \, dx[/tex]
[tex]h(y) = \frac{2}{3}\int\limits^{1}_{0} {(x + 2y)} \, dx[/tex]
Integrate
[tex]h(y) = \frac{2}{3}(\frac{x^2}{2} + 2xy)|\limits^{1}_{0}[/tex]
Substitute 1 and 0 for x
[tex]h(y) = \frac{2}{3}[(\frac{1^2}{2} + 2y*1) - (\frac{0^2}{2} + 2y*0) ][/tex]
[tex]h(y) = \frac{2}{3}[(\frac{1}{2} + 2y)][/tex]
[tex]h(y) = \frac{1}{3}[1 + 4y][/tex]
Solving (c): The probability that the drive-through facility is busy less than one-half of the time.
This is represented as:
[tex]P(x>0.5)[/tex]
The solution is as follows:
[tex]P(x>0.5) = P(0\le x\le 0.5,0\le y\le 1)[/tex]
Represent as an integral
[tex]P(x>0.5) =\int\limits^1_0 \int\limits^{0.5}_0 {\frac{2}{3}(x + 2y)} \, dx dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 \int\limits^{0.5}_0 {(x + 2y)} \, dx dy[/tex]
Integrate w.r.t. x
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 (\frac{x^2}{2} + 2xy) |^{0.5}_0\, dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 [(\frac{0.5^2}{2} + 2*0.5y) -(\frac{0^2}{2} + 2*0y)], dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 (0.125 + y), dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}(0.125y + \frac{y^2}{2})|^{1}_{0}[/tex]
[tex]P(x>0.5) =\frac{2}{3}[(0.125*1 + \frac{1^2}{2}) - (0.125*0 + \frac{0^2}{2})][/tex]
[tex]P(x>0.5) =\frac{2}{3}[(0.125 + \frac{1}{2})][/tex]
[tex]P(x>0.5) =\frac{2}{3}[(0.125 + 0.5][/tex]
[tex]P(x>0.5) =\frac{2}{3} * 0.625[/tex]
[tex]P(x>0.5) =\frac{2 * 0.625}{3}[/tex]
[tex]P(x>0.5) =\frac{1.25}{3}[/tex]
Express as a fraction, properly
[tex]P(x>0.5) =\frac{1.25*4}{3*4}[/tex]
[tex]P(x>0.5) =\frac{5}{12}[/tex]
What is the value of this expression when a= -3 and b=5? a + b^2*
Answer:
22
Step-by-step explanation:
a+b^2
= -3+(5^2)
= -3+25
=22
An equivalent equation has been written by multiplying the second equation by 2.
4x – 9y = 7 → 4x – 9y = 7
2(–2x + 3y = 4) → –4x + 6y = 8
What is the solution to the system?
a: (-19/2, -5)
b: (-5, -19/2)
c: (-15/2, -11/3)
d: -19/10, 1/15)
Answer:
(-19/2, -5)
Step-by-step explanation:
Given the two equivalent equations
4x – 9y = 7 .... 1
–4x + 6y = 8 ....2
Adding both equations
-9y + 6y = 7+8
-3y = 15
y = -15/3
y = -5
Substitute y = -5 into 1
From 1; 4x - 9y = 7
4x - 9(-5) = 7
4x + 45 = 7
4x = 7 - 45
4x = -38
x = -38/4
x = -19/2
Hence the solution is (-19/2, -5)
PLEASE HELPPP
Given △ABC and altitude AH, decide whether each statement is necessarily true about △AHC. Select Yes or No for A − C.
ge80512
A. AH < HC
A Yes B No
B. AH < AC
A Yes B No
C. △AHC ≅ △AHB
Answer:
(a) AH < HC is No
(b) AH < AC is Yes
(c) △AHC ≅ △AHB is Yes
Step-by-step explanation:
Given
See attachment for triangle
Solving (a): AH < HC
Line AH divides the triangle into two equal right-angled triangles which are: ABH and ACH (both right-angled at H).
To get the lengths of AH and HC, we need to first determine the measure of angles HAC and ACH. The largest of those angles will determine the longest of AH and HC. Since the measure of the angles are unknown, then we can not say for sure that AH < HC because the possible relationship between both lines are: AH < HC, AH = HC and AH > HC
Hence: AH < HC is No
Solving (b): AH < AC
Length AC represents the hypotenuse of triangle ACH, hence it is the longest length of ACH.
This means that:
AH < AC is Yes
Solving (c): △AHC ≅ △AHB
This has been addresed in (a);
Hence:
△AHC ≅ △AHB is Yes
Samiya had 45 grams of cookies to share with the class how many kilograms of cookies does she have
Answer:
0.045 kg of cookies
Answer: 0.045
Step-by-step explanation:
please help me fast thankss
Answer:
it's a bit blurry but if I aint wrong it's the 2nd one that say 2/5
Answer:
2.5 kilograms of chocolate
Step-by-step explanation:
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
4 x’s for 1/4
2 x’s for 2/4
1 x for 3/4
2 x’s for 1
Step-by-step explanation:
7m=56. explanation please
Answer:
m=8
Step-by-step explanation:
Divide each term in
7
m
=
56
7
m
=
56
by
7
7
.
7
m
7
=
56
7
7
m
7
=
56
7
Cancel the common factor of
7
7
.
Tap for more steps...
m
=
56
7
m
=
56
7
Divide
56
56
by
7
7
.
m
=
8
m
=
8
Step-by-step explanation:
7m=56
you have to have m by itself so to do that divide 7 on both sides.
7m/7=56/7
the 7 gets cancels on the left side so now you have
m=56/7
you divide
you get m=8
pls pls pls :,) help me plssssssss no links no links NO LINKS pls and if you don’t know don’t answer because I really need help
Answer:
Step-by-step explanation:
use your calculator
Plssss helpppppp! 45 points!
Answer:
15 C
Step-by-step explanation:
C = 5/9( F - 32)
Let F = 59
C = 5/9( 59 -32)
Parentheses first
= 5/9( 27)
= 15
Pls help quick i beg please,Complete the explanation blank and blank 1 whole stirp could represent 1 blank and the 1/3 strip could represent blank. please help like please cause if you do it i make you The Brainliest
Answer:
Feet and yards; the 1 whole strip could represent 1 yd. and the [tex]\frac{1}{3}[/tex] strip could represent feet.
what's up with all the answers with fake links that say something like "here is the answer click the link" and its not even a real link ???
Answer:
I dont even know lol
Step-by-step explanation:
Answer:
Like when its in a file? They just like to take your points
Step-by-step explanation:
What is the mean absolute deviation?
2 4 6 9
Answer:
The mean absolute deviation is 2.25. Hope this helps
Step-by-step explanation:
2+4+6+9 divided by 4=5.25
5.25-2=3.25
5.25-4=1.25
6-5.25=0.75
9-5.25=3.75
3.25+1.25+0.75+3.75=9 divided by 4=2.25
Brainliest for both correct answers
Answer:
Question 1: A
Question 2: D
Step-by-step explanation:
I hope it helps
Which color check marks correctly match up the scenarios with their unit rates? *
Green
Red
Blue
PLEASE HELP WILL MARK BRAINLIEST!!! No links and serious answers only!!
2. Write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. Show all your work, including the points used to determine the slope and how the equation was determined.
3. What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
4. Test the residuals of two other points to determine how well the line of best fit models the data.
5. Use the line of best fit to help you to describe the data correlation.
6. Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?
7. According to your line of best fit, what is the arm span of a 74-inch-tall person?
can someone help me solve this
(show work)
Answer:
y=x+31.25
Because x stand for cauclator so 31.25 per x so it would end up being x+31.25
Step-by-step explanation:
Which of the following letters is NOT line symmetric?
1. A
2. E
3. G
4. Y
Answer:
G
Step-by-step explanation:
Answer:
its G
Step-by-step explanation: