Answer:
a) 0.6667 = 66.67% probability that the temperature will be above 80°F.
b) 0.3333 = 33.33% probability that the temperature will be between 80°F and 85°F.
c) The expected temperature is of 82.5ºF.
Step-by-step explanation:
Uniform distribution:
The probability of all outcomes between a and b is the same.
Uniform distribution over the interval from 75°F to 90°F.
This means that [tex]a = 75, b = 90[/tex]
a. What is the probability that the temperature will be above 80°F?
We have that, on the uniform distribution:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
In this question:
[tex]P(X > 80) = \frac{90 - 80}{90 - 75} = \frac{10}{15} = 0.6667[/tex]
0.6667 = 66.67% probability that the temperature will be above 80°F.
b. What is the probability that the temperature will be between 80°F and 85°F?
We have that:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
Then, in this question:
[tex]P(80 \leq X \leq 85) = \frac{85 - 80}{90 - 75} = \frac{5}{15} = 0.3333[/tex]
0.3333 = 33.33% probability that the temperature will be between 80°F and 85°F.
c. What is the expected temperature?
The expected value of the uniform distribution is:
[tex]E = \frac{a + b}{2}[/tex]
In this question:
[tex]E = \frac{75 + 90}{2} = 82.5[/tex]
The expected temperature is of 82.5ºF.
Readin
Look at the two sums shaded in the addition table. Why are the sums the same?
+
0
1
2 3
4
5
because
5 x 9 = 9 x 5
0
1
2
because 9 is greater
than 5
unwN -
because
5 +9= 9+5
WNO
0 00 von A
6 7 8 9 10
3 4 5 6 7 8 9 10
2 3 4 5 6 7 8 9 10 11
3 4 5 6 7 8 9 10 11 12
4 5 6 7 8 9 10 11 12 13
5 6 7 8 9 10 11 12 13 14
6 7 8 9 10 11 12 13 14 15
6 7 8 9 10 11 12 13 14 15 16
7 8 9 10 11 12 13 14 15 16 17
9 10 11 12 13 14 15 16 17 18
because 5 and 9 are
both odd numbers
6
7
8
10 11 12 13 14 15 16 17 18 19
10 10 11 12 13 14 15 16 17 18 19 20
Answer:
10 11 12 13 14 15 16 17 18 19
10 10 11 12 13 14 15 16 17 18 19
Step-by-step explanation:
Can someone answer this please
Answer:
40
Step-by-step explanation:
The first step is to calculate x
because it's a straight line all angles must add up to 180
we can write the following equation
(3x+94)+(x+30)+(2x-4)=180
6x+120=180
6x=60
x=10
Now to solve for COD just plug in 10 for x+30
10+30=40
Choose the graph of the following function
Answer:
b
Step-by-step explanation:
find the other perimeter
Answer:
28.56
Step-by-step explanation:
6+10+ (3.14×8)/2
= 16 + 12.56
= 28.56 ft
Rodas is standing 100 feet from the Eiffel Tower and sees a bird land on the top of the tower (he has really good eyes!). If the angle of elevation from Rodas to the top of the Eiffel Tower is close to 84.6°, how tall is the tower? Round to two decimal places.
Answer:
1057.89 feet
Step-by-step explanation:
Trig time! Start with a diagram and listing out your trig functions, either mentally or on paper. SOH CAH TOA
The best trig function for this problem is likely tan:
tan84.6 = height / 100
100 * tan 84.6 = height
height = 1057.89 feet
What is the greatest common factor (GCF) of 25 and 35
Answer:
15
Step-by-step explanation:
The GCF of 25 and 35, is 15
Answer:
5
Step-by-step explanation:
Use the L method or the tree method. If you go through your numbers and see which number can divide both 25 And 35, you should find 5 because both of them end in 5 Since anything is divisible by 5 if it has a 0 or a 5 as the ones.
If you also needed help with the LCM, it is, keep one of the fives and divide the other to get rid of the five, then multiply them all together, so 25 * 7 = 175.
.
Subtract
11/12 - 5/8
Enter your answer below as a fraction in lowest terms, using
the slash ( / ) as the fraction bar.
Answer: 7/24
Step-by-step explanation:
11/8 - 5/8=
= 11/8 - 5/8
= 11/12 + -5/8
= 22/24 + -15/24
= 22 + -15//24
= 7/24
decimal form = 0.291667.
two step equations −10 = 10(k − 9) solve
Answer:
k=8
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
A box of chocolates contains 18 chocolate squares. Ten of the squares are milk chocolate, 5 are dark chocolate, and 3 ar...
Answer:
1/6
Step-by-step explanation:
Step-by-step explanation:
Ten of the squares are milk chocolate, 5 are dark chocolate, and 3 are white chocolate. If Christina randomly chooses a chocolate out of the box, what is the probability of her choosing a white chocolate ...
Kylee manages a small theme park and she has been analyzing the attendance data. Kylee finds that the number of visitors exponentially as the tempature increases, and this situation is represented by the function f(x) = 4 ^ x Kylee also finds a linear equation that no deals the number of people who leave the park early depending on the change in temperature , and it is represented by f(x) = - x + 5. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.
can you just please click on this and help
Answer:
i think its b but im not 100 percent sure...
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer is d
In the game of Pick-A-Ball without replacement, there are 10 colored balls: 5 red, 2 white, and 3 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen.
Now, close your eyes! Reach into the bucket, and pick a ball. (Click the red Pick-A-Ball! icon to simulate reaching into the bucket and drawing your ball.)
What is the probability of selecting the color of ball that you just selected? (Round your answer to four decimal places.)
This question is incomplete, the complete question is;
In the game of Pick-A-Ball without replacement, there are 10 colored balls: 5 red, 2 white, and 3 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen.
Now, close your eyes! Reach into the bucket, and pick a ball. (Click the red Pick-A-Ball! icon to simulate reaching into the bucket and drawing your ball.)
a) What is the probability of selecting the color of ball that you just selected? (Round your answer to four decimal places.)
Don't put your first ball back into the bucket. Now reach in ( again no peeking ), and pick your second ball. ( Click the red Pick-A-Ball icon to simulate reaching into the bucket and select your next ball.)
b) What is the probability of selecting the color of the ball you selected. ( Enter the answer in decimal format to 4 decimal places ).
Answer:
a) the probability of selecting the color of ball ( RED ) that you just selected is 0.5000
b) the probability of selecting the color of the ball ( BLUE ) I selected is 0.3333
Step-by-step explanation:
Given that;
We have a total of 10 colored balls in a small bucket.
Number of Red balls = 5
Number of White balls = 2
Number of blue balls = 3.
Now, assuming I clicked on the red Pick-A-Ball icon to simulate reaching into the bucket and picking a ball.
Also, Assuming that the color of ball that appeared is Red.
Then the probability of selecting the color of ball ( RED ) that I just selected will be;
P( selected Color ) = Number of Red balls / Total number of balls in the bucket
P( selected Color ) = 5 / 10 = 0.5000
Therefore, the probability of selecting the color of ball ( RED ) that I selected is 0.5000
b)
It is said that the game is Pick-A-Ball without replacement.
So assuming I went on and clicked on the red Pick-A-Ball icon to simulate picking a second ball.
Also, Assuming that the color of ball that appeared was blue.
Then the probability of selecting the color of ball ( BLUE ) that I just selected will be;
P( selected Color ) = Number of Blue balls / Total number of balls in the bucket
Now, since I picked the first ball without replacement, i.e I did not return it back to the bucket, The total number of balls left in the bucket now is 9.
so; P( selected Color ) = 3 / 9 = 0.3333
Therefore, the probability of selecting the color of the ball ( BLUE ) I selected is 0.3333
Without plotting these numbers, decide which inequalities are true. Check all that apply.
[tex] \sqrt7 > 2[/tex]
[tex] \sqrt7 >7[/tex]
[tex] \sqrt7 < 8[/tex]
[tex] \sqrt8 < 2[/tex]
[tex] \sqrt8 < 8[/tex]
Answer: √7 = 2.6
1. 2.6 > 2 V
2. 2.6 > 7 X
3. 2.6 < 8 V
4. √8 = 2.8 2.8 < 2 X
5. 2.8 <8 V
Step-by-step explanation:
V: mean correct
X: mean wrong
Which is the composite function for the price a loyalty
member would pay based on the original price, x?
ne
An
C(L(x)) = 2.7800x
O C(L(x)) = 0.9180x
O C(L(x)) = 0.7803x
C(L(x)) = 0.7225x
Answer:
[tex](d)\ L(S(x)) = 0.7225x[/tex]
Step-by-step explanation:
Given
[tex]S(x) = 0.85x[/tex] ----- Sales price
[tex]L(S) = 0.85S[/tex] ---- Loyalty member discount
Required
This is represented as: L(S(x))
So, we have:
[tex]L(S) = 0.85S[/tex]
Substitute S for S(x)
[tex]L(S(x)) = 0.85S(x)[/tex]
Substitute [tex]S(x) = 0.85x[/tex]
[tex]L(S(x)) = 0.85*0.85x[/tex]
[tex]L(S(x)) = 0.7225x[/tex]
According to the question,
Sales price, [tex]S(x) = 0.85 x[/tex]Loyalty member discount, [tex]L(S) = 0.85S[/tex]By substituting the "S" for "S(x)", we get
→ [tex]L(S(x)) = 0.85 S(x)[/tex]
By substituting the value of "S(x)", we get
→ [tex]L(S(x)) = 0.85\times 0.85 x[/tex]
→ [tex]= 0.7225 x[/tex]
Thus the above answer is right.
Learn more about composite function here:
https://brainly.com/question/5614233
help me plzzzzzz!!!!!!!
Help pls!
(The question are in the image)
A. -1/p
B. 0
C. 1
D. p
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
-------------------------------------------------------------------------------------
please help this is very important
(this is a big part of my grade)
You roll 2 dice. What is the probability of getting two 5's?
The terminal ray of an angle passes through the point (16,–12). What is the value of sine for this angle?
Answer:
-3/5
Step-by-step explanation:
Given :-
The terminal ray of an angle passes through the point (16,–12).And we need to find the value of sine for this angle. Therefore we can say that , Base = 16 units and Perpendicular = 12 units . So Using Pyhthagoras Theorem , we can find hypontenuse.
Using Pythagoras Theorem :-
[tex]:\implies[/tex] h² = p² + b²
[tex]:\implies[/tex] h² = 16² + 12²
[tex]:\implies[/tex] h² = 256 + 144
[tex]:\implies[/tex] h² = 400
[tex]:\implies[/tex] h = 20 u
Therefore the sine will be :-
[tex]:\implies[/tex] sinθ = p/h
[tex]:\implies[/tex] sinθ = 12/20
[tex]:\implies[/tex] sinθ = 3/5
And it is in third quadrant so , sine will be negative .[tex]:\implies[/tex] sinθ = -3/5
Therefore the value of sine is -3/5.
how to solve this equation by step
12f=216
Answer:
18
Step-by-step explanation:
You have to divide both sides by 12 inorder to remain with the f on the other side since you want to find the value of f.
12f/12=216/12
F=18
I hope this helps
Hannah placed 10 cups outside during a rainstorm. After one hour she measured, in inches, the amount of water in each cup. The table shows the
measurements.
Cup Number 1 2 3 4 5 6 7 8 9 10
Inches
3 1 31 SS!
82248 22 882
Which line plot correctly displays the data from the table?
Amount of Water
Amount of Water
X
OA
Inches
Inches
Amount of Water
Amount of Water
OB.
Х
inches
inches
A line plot which correctly displays the data from the table is: graph B.
What is a line plot?A line plot simply refers to a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.
Based on the data displayed in the table above, we can deduce the following points:
Cup size in inches (⅜) = 2.Cup size in inches (½) = 5.Cup size in inches (⅝) = 2.Cup size in inches (¾) = 1.In conclusion, graph B is a line plot which correctly displays the data from the table above.
Read more on line plot here: https://brainly.com/question/8989301
#SPJ1
Customers blah blah blah blah
Answer:
blah
Step-by-step explanation:
blah + blah = blah
blah x blah = blah
blah / blah = blah
blah - blah = blah
Select the correct answer.
Using a table of values, approximate the solution to the equation below to the nearest fourth of a unit.
Answer:
3
Step-by-step explanation:
Answer:
Correct Answer for Plato is (3)
Step-by-step explanation:
#Platolivesmatter :)
Hope This Helped XD
Fyi I took the test and got it right too
Plato!! Please help!!!
Answer:
[tex]a =7[/tex] [tex]b = 2[/tex] [tex]c = -4[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x}{x + 2} + \frac{4x}{x - 2} = \frac{ax^2 + bx}{x^2 + c}[/tex]
Required
Find a, b and c
[tex]\frac{3x}{x + 2} + \frac{4x}{x - 2} = \frac{ax^2 + bx}{x^2 + c}[/tex]
Take LCM
[tex]\frac{3x(x -2) + 4x(x+2)}{(x + 2)(x - 2)} = \frac{ax^2 + bx}{x^2 + c}[/tex]
Expand
[tex]\frac{3x^2 -6x + 4x^2+8x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]
Collect like terms
[tex]\frac{3x^2 + 4x^2-6x+8x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]
[tex]\frac{7x^2+2x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]
By direct comparison:
[tex]ax^2= 7x^2 \to a = 7[/tex]
[tex]bx = 2x \to b = 2[/tex]
[tex]-4 = c \to c = -4[/tex]
he tall locome
wel te te kinoel
Personal
q
46
Each child
Dependant Rektua
Imurence
the
was lared d
Cloulate,
CA
6 his income
monthly faceable income
next monthly Pay
Using the diagram below, classify the angle pair ∠CDL and ∠FDE
Answer:
Best shot would be with vertical angles.
It wouldn't be adjacent angles because the two angles don't have an overlapping side.
It also can't be complementary/supplementary angles because they don't add up to 90* or 180* degrees.
However, Angle CDL creates vertical angles with Angle FDE with Angles FDC and EDL.
Hope that helps.
50
Σ (4n - 1) = [? ]
1
Answer:
5050
Step-by-step explanation:
A small fish tank is filled to the top with water. If the tank measures. 15 cm by 10 cm by 10 cm, what is the volume of water in the tank? Express your answer in mL
Find the mode(s) of the data set. 92, 97, 92, 96, 98, 94 0 98, 92 92 no mode
Answer:
92
Step-by-step explanation:
92 appears the most
Answer:
92 is the mode because is the most occurring number. 92 appear 4times
what is the cordinate of the midpoint of GO ? plss help me
Answer:
24 ;] ;] ;]
Step-by-step explanation:
from spongebob