Answer:
[tex]P(x = 5) = 0.2441[/tex]
Step-by-step explanation:
Given
[tex]p = 0.48[/tex] --- proportion that have very little confidence
[tex]n = 10[/tex] --- sample
Required
Determine the probability that exactly 5 have very little confidence
This question will be solved using binomial probability:
[tex]P(x) = ^nC_xp^x(1-p)^{n-x}[/tex]
In this case: x = 5.
So, we have:
[tex]P(x = 5) = ^{10}C_5*0.48^5(1-0.48)^{10-5}[/tex]
[tex]P(x = 5) = ^{10}C_5*0.48^5*0.52^5[/tex]
[tex]P(x = 5) = 252*0.48^5*0.52^5[/tex]
[tex]P(x = 5) = 0.2441[/tex]
please help what does QPR equal?
Answer:
<QPR=25
Step-by-step explanation:
(8x+7)+(9x+16)=40
17x+23=40
17x=17
x=1
9x+16
25
<QPR=25
Design An art class is making a mural for their school which has a triangle drawn in the middle. The
length of the bottom of the triangle is x. Another side is 13 more than two times the length of the
bottom of the triangle. The last side is 10 more than the bottom of the triangle. Write and simplify an
expression for the perimeter of the triangle.
What is the expression for the perimeter of the triangle?
Answer: [tex]4x+23[/tex]
Step-by-step explanation:
Given
The length of the bottom of the triangle is x
Another side is [tex]2x+13[/tex]
The last side is [tex]x+10[/tex]
Perimeter is the sum of the side of triangles
[tex]\Rightarrow \text{Perimeter}=x+2x+13+x+10\\\Rightarrow \text{Perimeter}=4x+23[/tex]
Write an expression to represent the perimeter of a triangle with the side lengths of 12, g-16, and 4g
Answer:
5g-14
Step-by-step explanation:
Perimeter=12+g-26+4g=5g-14
Answer:
5g-4
Step-by-step explanation:
calculate the volume of this cylinder, giving your answer to 1 decimal place 9cm height 20 cm length
Answer:
volume is approximately 286.03 cm
Step-by-step explanation:
please mark me brainliest.
A business traveler was wondering how the taxi meters in a particular city work. She kept track of the distance traveled on each of her taxi rides and the amount
she paid for each of her fares. She then plotted the data points and found that while they didn't exactly form a line (probably due to varying times spent stuck in
traffic), they could be approximated by the line y = 1.75x+2.25, where x is the distance traveled in miles and y is the fare in dollars. According to the model, about
how much will a 3 mile ride cost?
A. $5.25
B. $6.75
С. $7.50
D. $8.50
1/5 times 8 =? help please asap
Answer:
8/5 aka 1.6
Step-by-step explanation:
Can someone please help me find the answer
a c and d
y Varies directly as the product of M and N and inversely as their
Sum. if y = 4, when N=2 and m= 1, What is the value of y when M=6
and N=5.
Answer:
60
Step-by-step explanation:
i think its the answer because 2(5×6)
I got this find the perimeter of the rectangle length= 2x width= 10 + x i dont understand, can someone explain???
Answer:
6x + 20
Step-by-step explanation:
the formula for the perimeter of the rectangle is 2 x (length + width)
from the question length = 2x
width = 10 + x
2(2x + 10 + x)
2 (3x + 10 )
6x + 20
Find the solution set of the inequality: 8x+2 > 348x+2>34
Answer:
21
Step-by-step explanation:
6. The number of bacteria N in a culture is given by the model N(t) = 250e 0.0156 where t is the time in hours.
Find how many hours it takes for the original population to double. Round your answer to the nearest hundredth
of an hour.
i just need to know how to work this out!! please help
Answer:
t ≈ 44.43 hours
Step-by-step explanation:
Expression that models the population of a bacteria after time 't' is,
N(t) = [tex]250(e^{0.0156t})[/tex]
Here initial population = 250
And N(t) = Population after 't' hours
t = duration
We have to find the duration in which bacterial population gets doubled.
N(t) = 2×250 = 500
From the given expression,
500 = [tex]250(e^{0.0156t})[/tex]
[tex]e^{0.0156t}=2[/tex]
[tex]\text{ln}(e^{0.0156t})=\text{ln}(2)[/tex]
0.0156t[ln(e)] = 0.693147
0.0156t = 0.693147
t = [tex]\frac{0.693147}{0.0156}[/tex]
t = 44.432
t ≈ 44.43 hours
PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!
Answer:
D
Step-by-step explanation:
D is on the same plane as A, B, and C
Find the distance between each pair of points. simply the radicals no decimals (-12, 3) (-3, 15)
Answer:
15
Step-by-step explanation:
distance formula = square root of difference of y-values subtracted by difference of x-values
d = [tex]\sqrt{144+81}[/tex] = 15
Answer:
Step-by-step explanation:
d^2=dx^2+dy^2
d^2=(-3+12)^2+(15-3)^2
d^2=81+144
d^2=225
d=15
a shopkeeper mixed 15.25 kg of hazelnuts with 4.75 kg of raisins. He packed the mixture equally into 5 boxes. What is the weight of each box?
Answer:
4kg
15.25 + 4.75 = 20
20/5 = 4
Step-by-step explanation:
Answer:
4 kgs
thats the sum by 5
hope it helps
1. What is the prime factorization of 402? *
Your answer
Answer:
Step-by-step explanation:
Prime factorization requires dividing by primes starting with smallest prime number
402/2=201
201/3=67, 67 is prime so we cannot go further so the prime factorization of 402 is
2X3X67
Find the measure of ∠X
2 problems only and please show work and explain how you got the answer so that way I can understand what you're doing and how to solve the other problems on my work sheet.
Answer:
7) 65°8) 25°Step-by-step explanation:
Question 7
Angle formed by 2 chords is half of the sum of the intercepted arcs
x = 1/2(72° + 58°) = 1/2(130°) = 65°Question 8
Angle formed by 2 secants is half of the difference of the intercepted arcs
x = 1/2(360° - (130° + 98° + 41°) - 41°) = 1/2(50°) = 25°Mathematics - Introduction to Statistics (Stastics)
Chebyshev's theorem says that within two standard deviations of the mean, you will always find at least 89% of the data.
A)true
B) false
Help? Total surface area
Pls help with finding slope and y intercept from 2 points‼️‼️❗️❗️❗️❗️
step 1: plot your points.
step 2: find the rise over run
step 3: place the rise over run in decimal form. say its 5 to the side and 2 up 2/5 (if it was a negative rise such as 2 down it would be -2/5)
step 4= find where it crosses the y line such ex: 0,8 it would be 8 (if it were negative it would be 0,-8: -8)
then put in y intercept form: y=2/5x+8
Joe is trying to solve the equation for x
3x – 7 = 30
What would be the best first step Joe could Make to solve the equation?
A. Divide 3X by 3
B. Divide both sides by 30
C. Subtract 7 from the left side of the equation
D. Add 7 to both sides of the equation
Answer:
Step-by-step explanation:
D Add 7 to both sides
This makes it 3x=37
x=37/3
Someone help me please
Answer:
I need points so sorry i can't answer it :(
Step-by-step explanation:
You are applying for a fuel tax rebate. The amount of fuel road tax is 32 cents per gallon. If the refund is 50 % of this amount, what is the refund for 8,000 gallons of fuel?
Answer: $1,280
Step-by-step explanation:
The refund one a gallon is 50% of the cost of the gallon which is $0.32.
The refund on a gallon is:
= 50% * 0.32
= $0.16
If it was for 8,000 gallons the refund would be:
= 8,000 * 0.16
= $1,280
I'm awarding 20 points for an answer!
A ball is thrown into the air with an initial upward velocity of 48 ft/s. It height h in feet after t seconds is given by the function h (t)=-16t^2+48t+4.
In how many seconds will the ball reach its maximum height?
Answer:
Step-by-step explanation:
h(t)=-16t^2+48t+4
dh/dt=-32t+48
d2h/dt2=-32
Since acceleration is always negative when the velocity, dh/dt=0, it will occur at the maximum height.
dh/dt=0 when
-32t+48=0
-32t=-48
t=1.5 seconds
Without calculus, the vertex of a parabola will be at -b/(2a) of the quadratic equation. In this case
-48/(2(-16))
-48/-32
1.5 seconds
Please help!!! I will mark you brainiest!
Find the exact value of [[23]]
Answer:
16 is your Correct answer. Thanks.
Answer this question to get marked at brainliest!!!!
Answer:
The most feasible answer would be the first option - 47
Step-by-step explanation:
This is true because if we look at the triangle it looks as if the sides have equal length, but if we look closely we will notice that the b side is angled more by a slight inch, compared to the other side, thus your answer should be 47 - the first option
pls help me with this. will make u brainliest
According to the table,
it should be (5,9) and (8,10.5)
18.5 ft, 6 ft, 17.5 ft
Answer:
yes, it is a right triangle.
Step-by-step explanation:
you could use the pythagorean theory to check:
[tex]a^{2} + b^{2} = c^{2}[/tex]
(the hypotenuse is the longest side)
[tex]17.5^{2} + 6^{2} = 18.5^{2}[/tex]
[tex]306.25 + 36 = 342.25[/tex]
[tex]342.25 = 342.25[/tex]
Write an equation in slope intercept form of (-6,5),(6,-1)
Answer:
y=-1/2x+2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-5)/(6-(-6))
m=-6/(6+6)
m=-6/12
m=-1/2
y-y1=m(x-x1)
y-5=-1/2(x-(-6))
y-5=-1/2(x+6)
y=-1/2x-6/2+5
y=-1/2x-3+5
y=-1/2x+2
12.) A jacket cost 4 times as much as a pair of shorts.
Together they cost $75. How much is each item?
Answer:
The pants cost $15 and the jacket costs $60
Step-by-step explanation:
Solve. Can someone help me? I only have one try left
3(x−10)=−9
Answer:
x=7
Step-by-step explanation:
Answer: x=7
Step-by-step explanation:
3(x-10)=-9
3x-30=-9
3x-30+30=-9+30
3x=21
x=7