Answer:
0.000004 = 0.0004% probability of getting 7 or fewer minorities if the jury pool was randomly selected.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either it was a minority, or it was not. The probability of a person being a minority is independent of any other person. 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.
Jury of 90 people:
This means that [tex]n = 90[/tex]
27% were minorities.
This means that [tex]p = 0.27[/tex]
Find the probability of getting 7 or fewer minorities if the jury pool was randomly selected.
This is:
[tex]P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{90,0}.(0.27)^{0}.(0.73)^{90} \approx 0[/tex]
[tex]P(X = 1) = C_{90,1}.(0.27)^{1}.(0.73)^{89} \approx 0[/tex]
[tex]P(X = 2) = C_{90,2}.(0.27)^{2}.(0.73)^{88} \approx 0[/tex]
[tex]P(X = 3) = C_{90,3}.(0.27)^{3}.(0.73)^{87} \approx 0[/tex]
[tex]P(X = 4) = C_{90,4}.(0.27)^{4}.(0.73)^{86} \approx 0[/tex]
[tex]P(X = 5) = C_{90,5}.(0.27)^{5}.(0.73)^{85} \approx 0[/tex]
[tex]P(X = 6) = C_{90,6}.(0.27)^{6}.(0.73)^{84} \approx 0[/tex]
[tex]P(X = 7) = C_{90,7}.(0.27)^{7}.(0.73)^{83} = 0.000004[/tex]
So
[tex]P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 7*0 + 0.000004[/tex]
0.000004 = 0.0004% probability of getting 7 or fewer minorities if the jury pool was randomly selected.
On a number line, show all values of x that have the absolute value less than 3
answer::::::::::::::::::::
Basically
A builder buys 28.5 acres of land to develop a new community of homes and parks.
Part 1 :
The builder plans to use 0.75 of the land for a park. How many acres will he use for the park?
Part 2 out of 2
He buys a second property that has 0.74 times as many acres as the first property. How many acres of land
are in the second property? no links please.
Answer:
Part 1: 21.375 Acres
Part 2: 15.8175 Acres
Help Please! I ain’t understanding this :’
Answer:
The first one because the width and the length make the box of ice cream look bigger.
Step-by-step explanation:
the secret to football betting
Answer:
Step-by-step explanation:
Do tell, if that's what you mean. If you're asking me, I'm not sure I know!
(7-9i)(4-2i)multiply and simplify
Answer: -32-126i
Step-by-step explanation:
In the figure below, points G, H, and Jall lie on circle I.
H
Which of the following can be concluded from the figure?
Answer:
3rd option
∠JGH= 1/2∠JIH
Step-by-step explanation:
This is because of the circle theorem that states that angle at center is equal to two times the equal at circumference
14 club members have birthdays in summer. This is 20% of the birthdays in the club. How many club members are there? How do you do this, for kids?
Answer:
70 club members in all
Step-by-step explanation:
we know that 14 people is equal to 20%
we also know that to get 20% to 100% you multiply by 5
So, what I did was mmultiply 14 by 5 therefore bringing 14 (20%) to 70 (100%)
hope this makes sense. for other values you could just see what to multiply the percent by to get to 100 and multiply the known number by that value.
hope this helps <3
Answer:
70 members
Step-by-step explanation:
Whatever the % is, the answer on the right side of the equation must by 14
So 20% of some number = 14.
20/100 x = 14 Remember 20% = 20 / 100. Multiply by 100
20x = 14*100
20x = 1400 Divide by 20
x = 1400/20
x = 70
There are 70 members in the club.
Kids are done no differently.
The number of people who fulfill the condition goes on the right. The left contains the % and an unknown.
Acellus
A
-3
-2.
-1
B
The distance AB rounded to the
nearest tenth = [?].
Hint: d= V(x2 – x1)2 + (y2 - y1)2
Enter
haha help plz
Answer:
[tex]AB = 3.6[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Distance AB
From the graph:
[tex]A = (-2,1)[/tex]
[tex]B = (1,-1)[/tex]
The distance is:
[tex]AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]AB = \sqrt{(-2 -1)^2 + (1- -1)^2}[/tex]
[tex]AB = \sqrt{(-2 -1)^2 + (1+1)^2}[/tex]
[tex]AB = \sqrt{13}[/tex]
[tex]AB = 3.6[/tex]
A rectangle has a base of 4 feet and a height of 30 inches.
What is the area of the rectangle? Choose the correct answer below.
A
4.5 square feet
B
10 square feet
C
46 square inches
D
120 square inches
HELP PLS!!
Write the inequality shown by the graph
Answer: y>-2/6+2
Step-by-step explanation:
We know it's greater then so we just need to find the line. Let's look at the Slope, since 0,2 is greater than -6,4 we start there. The y of 0,2 is 2 so we subtract 4 from 2 which is -2 and now we subtract -6 from 0 which is 6 so now we have -2/6 and the intercept is 2 so we now have y=mx+b which is the line in black: y=-2/6+2. But it is greater than so its y>-2/6+2
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
Please help I will give you brainless fide the volume and round to the nearest tenth
Answer:
11.5 ft
Step-by-step explanation:
Take the cone formula:
V = 3.14 * 1^2 * 11/3 = 11.5 ft
What is the probability that the sum is a common multiple of 2 and 3? Please help me ASAP!
Answer:
what is the question
Step-by-step explanation:
Moriah studied for 3 hours to prepare for her history exam. How many minutes did she study?
Answer:
180
Step-by-step explanation:
Every hour is 60 minutes. To find the total number of minutes she studied, you would have to multiply 3 x 60.
3 x 60 = 180
Answer: 180 minutes.
Step-by-step explanation: 3 hours is equal to 60+60+60 because there is 60 minutes in 1 hour so 60+60 is 120+60=180 therefore, she studied for 180 minutes.
ez one cus im lazy so give it a shot and 1st right = brainle
Answer:
d
Step-by-step explanation:
Answer:
For The Number 6 Its A
For The Number 7 The Volume is 400
Krish and Aanya gor to a restaurant for dinner. Their meals total $13.75. The tax is 5%
a. How much tax is added to the bill?
b. Aanya and Krish want to leave a 15% tip based on their bill and tax combined. How much should they leave?
Answer:
A) $6.87
B) $3.09
Step-by-step explanation:
What is the 38th term of 459,450,441,..
HELP PLS WUICK! GIVING OUT BRAINLIST
Sarah invested $2,500 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 14 years?
Answer:
sorry 2458946547165874%
Step-by-step explanation:
In a local middle school, there are 20 Science teachers, 30 Social
Studies teachers and 600 students. What is the ratio between the number
of Science teachers and the number of students for this school? *
1:12.
1:30
1:35
1:40
Answer:
no of science teachers is 20
no of students is 600
ratio=20/600
=20:600
=1:30
pls give me brainliest
1;3;5 are the first three terms of the first differences of a quadratic sequence. the 7 term of the quadratic sequence is 35. determine the 6th and 5th term of the quadratic sequence
Answer:
no
Step-by-step explanation:
The 6th and 5th terms of the giving sequence are respectively; 24 and 15
What are the missing terms of an Arithmetic Sequence?
We are given the first 3 terms of the sequence as; 1, 3 and 5.
We are told that the 7th term is 35.
Let xₙ be the nth term number in the quadratic sequence
dₙ is first difference number in the quadratic sequence
From the given sequence, we see that there is a common difference of 2 for the first 3 terms and so they follow an arithmetic sequence which is;
dₙ = 2n - 1
However, when we apply this up to the 7th term, that would not work. Thus, let us use the differences. We see that sum of two consecutive number position of terms is equal to the difference between the two consecutive terms.
Thus;
difference between 3rd and 4th term = 3 + 4 = 7
difference between 5th and 6th term = 4 + 5 = 9
difference between 6th and 7th term = 5 + 6 = 11
Thus, since 7th term is 35, then;
6th term = 35 - 11 = 24
5th term = 24 - 9 = 15
Read more about Arithmetic Sequence at; https://brainly.com/question/6561461
Solve for the two variables in the following system of equations. 7x-8y=-12
--4x+2y=3
Answer:
x=0, y=3/2. (0, 3/2).
Step-by-step explanation:
7x-8y=-12
-4x+2y=3
----------------
7x-8y=-12
4(-4x+2y)=4(3)
-----------------------
7x-8y=-12
-16x+8y=12
----------------
-9x=0
x=0/-9
x=0
7(0)-8y=-12
0-8y=-12
8y=0-(-12)
8y=0+12
8y=12
y=12/8
simplify
y=3/2
evimi
Simplify 6(3+4) - 5(1 + 2).
Step-by-step explanation:
6(3+4) - 5(1+2)
= 6 x 7 - 5 x 3
= 42 - 15
= 27
Step-by-step explanation:
6(3+4) - 5(1+2)
6×7 - 5×3
42 - 15 = 27
Write the explicit formula for the
sequence below. Then, find the number
term in the sequence as listed.
140,130,120,110...
Answer:
[tex]a_n=-10n+150[/tex]
Step-by-step explanation:
This is consider a linear pattern (arithmetic pattern).
We know this because it is either going up or down by the same number each time. It's going down by 10 in this case.
So -10 is the slope of this linear pattern.
The equation for a linear pattern is:
y=mx+b
where x represents the position the term is in
and
where y represents the actual term
and
where m is the slope
So we have y=-10x+b.
(x,y)
(term position in sequence, actual term)
(1,140)
(2,130)
(3,120)
(4,110)
We can find b by using a number with it's position in the sequence (that is plug in one of your points above).
y=-10x+b
140=-10(1)+b
140=-10+b
150=b (after adding 10 on both sides)
The explicit equation for the sequence is y=-10x+150.
They probably prefer you to write: [tex]a_n=-10n+150[/tex] instead.
Can anyone help me with this question?
Answer:
A = 78.5
Step-by-step explanation:
to find the area of a quarter of a circle, find the area of the whole circle and divide it by 4:
A = (π[tex]r^{2}[/tex]) ÷ 4
A = (3.14 x [tex]10^{2}[/tex]) ÷ 4
A = (3.14 x 100) ÷ 4
A = 314 ÷ 4
A = 78.5
Georgia brought a snow cone shaped like the cone below what is the height of the snow cone
Answer:
Step-by-step explanation:
Use the Pythagorean Theorem.
h² = 5² - 3² = 4²
h = 4 in
m∠Q =
m∠R =
m∠S =
40 POINTS!!!!!!!
9514 1404 393
Answer:
∠Q = 89°
∠R = 123°
∠S = 91°
Step-by-step explanation:
It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.
arc QRS = 2·∠P = 114°
So, ...
arc QR = arc QRS - arc RS = 114° -41° = 73°
The total of the arcs around the circle is 360°, so ...
arc PQ = 360° -arc PS -arc QRS
arc PQ = 360° -137° -114° = 109°
__
∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)
∠Q = 89°
__
∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)
∠R = 123°
__
∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)
∠S = 91°
what is the surface area of the jewlery box below ?
( click on the image for the full box )
A. 146 cm
B. 292 cm
C. 336 cm
D. 672 cm
Answer:
B 292
Step-by-step explanation:
Hello There!
The first thing we want to do is find the formula for surface area of a rectangle
[tex]SA=2(wl+hl+hw)[/tex]
where w = width h = height and l = length
we are given the dimension:
h = 7
w = 8
l = 6
all we have to do is plug in
[tex]SA=2(8*7+6*7+6*8)\\8*7=56\\6*7=42\\6*8=48\\48+42+56=146\\146*2=292\\SA=292[/tex]
so we can conclude that the surface area is 292
8 + 6 − (8 ÷ 4) x 2 i need help
Answer:
10
Step-by-step explanation:
8 + 6 - (8 ÷ 4) × 2
8 + 6 - 2 × 2
8 + 6 - 4
14 - 4
10
PLEASE HELP!!! DUE IN 10 MIN!!!
Answer:
Option B
Step-by-step explanation:
Surface area of a triangular prism = Area of the triangular sides + Area of the rectangular sides
Area of the triangular sides = 2(Area of the triangular base)
= [tex]2[\frac{1}{2}(\text{Base})(\text{Height})][/tex]
= 10 × 12
= 120 ft²
Area of the rectangular sides = (Perimeter of the triangular side)(Height of the prism)
= (10 + 13 + 13)(15)
= 36 × 15
= 540 ft²
Surface area of the prism = 120 + 540
= 660 square feet
Option B will be the answer.