Answer:
P(T<683) = 0.1587 = 15.87% ≈ 16%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Sum of normal variables:
When two normal variables are added, the mean is the sum of the means, while the standard deviation is the square root of the sum of the variances.
The weights of these candles have a mean of 500g and a standard deviation of 15g. The weights of the candle stands have a mean of 200g and a standard deviation of 8g.
The package consists of one candle of each type. So
[tex]\mu = 500 + 200 = 700[/tex]
[tex]\sigma = \sqrt{15^2 + 8^2} = 17[/tex]
Find the probability that the total weight is under 683g.
This is the pvalue of Z when X = 683.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{683 - 700}{17}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
So
P(T<683) = 0.1587 = 15.87% ≈ 16%.
Answer:
0.1587 Step-by-step explanation:kahn
Find the distance between the two points. (−6, −7), (0, 0)
Answer:
d = √85
Step-by-step explanation:
Here use the distance formula.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\text{Substitute the values.}\\d = \sqrt{(0-(-6))^2+(0-(-7))^2}\\\text{Subtract by negative, which is adding.}\\d=\sqrt{(6)^2+(7)^2}\\\text{Apply the powers of 2.}\\d=\sqrt{36+49}\\\text{Add.}\\d=\sqrt{85}[/tex]
What is the inverse of x/4 ?
ill give brainlist thingy lol
Step-by-step explanation:
If you are talking about an inverse function f-1(x) of the function f(x), you must remember that, by definition,
f(f-1(x)) = x
So given f(x) = x/4 if I apply an arbitrary K which is equal to f-1(x), then
f(K) = x
K/4 = x
K = 4x
But I want to recover f-1(x), so replace it back.
f-1(x) = 4x
Done
It costs y dollars to buy x cans of tomatoes. What is the constant of proportionality?
Answer
1 and 0.89
Step-by-step explanation:
idrk tho
6 = k over 9
k equals?
Answer:
k = 54
Step-by-step explanation:
6 = [tex]\frac{k}{9}[/tex]
multiply both sides by 9 to isolate k
=> k = 54
Answer:
k = 54
Step-by-step explanation:
[tex]6 = \frac{k}{9}[/tex]
Multiply both sides by 9:
9(6) = k
k = 54
Please help! I will give brain list also if you mind(you don’t have to) but may you explain?
Also I report people who add links :)
Answer:
2. 8/10 is bigger
3. 7/8 is bigger
4. 1/2 is bigger
5. 8.12 is bigger
6. 4/6 is bigger
7. 7/12 is bigger
Step-by-step explanation:
The queen of hearts, queen of diamonds, queen of spades, and queen of clubs are taken out of a deck of cards. They are to be put in 3 places on a table. In how many different ways can they be placed in the 3 spots?
Answer:
Hello There!!
Step-by-step explanation:
The answer is 52.
hope this helps,have a great day!!
~Pinky~
Round 823 to the nearest ten
Answer:
820
Step-by-step explanation:
Find the number in the ten place 2 and look one place to the right for the rounding digit 3. Round up if this number is greater than or equal to
5 and round down if it is less than 5.
Please answer number 1 and 2 with ABC or D
Answer:
1. (a) a+b=86
2. (c) 5.99a+9.99b≤600
Step-by-step explanation:
1.
a = amount of 16gb memory sticks
b = amount of 21gb memory sticks
Gary is buying a memory sticks for each of the 86 teachers. Therefore the total sum of both 16gb and 32gb memory sticks should equal 86:
a+b=86
2.
a = amount of 16gb memory sticks
b = amount of 21gb memory sticks
Each 16gb memory stick cost $5.99, and each 32gb one costs $9.99. Therefore...
5.99a = total cost of 16gb memory sticks
9.99b = total cost of 32gb memory sticks
Gary has to spent an amount less than or equal to $600. Therefore, the total sum of the costs of both 16gb and 32gb memory sticks should be less than or equal to 600:
5.99a+9.99b≤600
A quiz consists of five multiple choice questions. Each question has four choices. A student who forgot to study guesses randomly on every question What is the probability that the student answers exactly three questions correctly?
Answer:
1/64
Step-by-step explanation:
probability of getting one question correct is 1/4
P(3 questions correct): 1/4 · 1/4 · 1/4
Can someone please help me I will mark u brilliant
Answer:
The answer is 11
Step-by-step explanation:
Which side lengths form a right triangle?
Answer:
Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex] Pythagoras law:h²=p²+b²
needed to apply
4²+8²=12²
80≠144 not a right angled triangle
again
2²+√5²=3²
9=9/
side are a right angled triangle
again
2²+2²=(√8)²
4+4=8
8=8
side are a right angled triangle
Answer:
[tex]2,\sqrt{5},3[/tex] and [tex]2,2,\sqrt{8}[/tex]
Step-by-step explanation:
in a raffle 200 tickets are sold 78 children and 93 women buy one ticket each men buy the rest of the tickets. work out the probability that a man buys the winning ticket
Answer:
The probability that a man buys the winning ticket is 107/200
Step-by-step explanation:
78 men buy tickets, 93 women buy tickets. If the rest of the tickets are given to men, there are 200-93-78, or 29 tickets left, which go to men. 78 + 29 = 107 men who have tickets.
The probability that a man buys the winning ticket is
number of men with tickets / number of tickets, or
107 / 200.
plz plz plz help ill give brainly
Answer:
Width is 3
Step-by-step explanation:
_____________
/ / |
/ ______________/ |
2.5| | |
f | | |
e | | |
e | | |
t | | |
| | /
| | /
|______________|/ 3 feet
4 feet
Which expression uses numbers and symbols to represent the statement subtract 6 from 11 ,double the difference, and then add three- fourths?
Answer:
sorry if I knew I would have told you but follow me
Need help understanding this problem! If someone would explain how to do it that would be great!
In Triangle FGH, FH=6 ft, FG=11 ft, and m
*Hint: Law of Cosines
Answer:
m∠G = 31.83°
Step-by-step explanation:
From the triangle FGH,
FH = 6 ft
FG = 11 ft
And measure of the included angle ∠F = 73°
We have to find the measure of ∠G.
By applying law of cosine in the triangle to get the measure of third side GH first,
GH² = FH² + FG² - 2(FH)(FG)cos(∠F)
GH² = 6² + 11² - 2(6)(11)cos(73°)
GH² = 36 + 121 - 38.593
GH = √118.407
GH = 10.88 ft
Now apply sine rule in the given triangle to get the measure of ∠G.
[tex]\frac{\text{sinG}}{FH}=\frac{\text{sinF}}{GH}[/tex]
[tex]\frac{\text{sinG}}{6}= \frac{\text{sin(73)}}{10.88}[/tex]
sin(G) = 0.527374
G = [tex]\text{sin}^{-1}(0.527374)[/tex]
m∠G = 31.83°
Can you figure out the answer?
Answer:
1680
Step-by-step explanation:
480x3=1440
480/2=240
1440+240=1680
A bag contains 5 red marbles, 8
green marbles, 6 orange marbles, and
11 yellow marbles. What is the
probability of randomly choosing
an orange marbles
Answer:
1/5
Step-by-step explanation:
First you need to find the total amount of marbles
5+8+6+11= 30
There are 6 orange marbles
So the probability is 6/30 which reduces to 1/5
please help me! it’s urgent
Answer: 85
Step-by-step explanation:
360degree for quad
thus
95+85+95 = 275
360-275 = 85
Answer:
S=85°
Step-by-step explanation:
95+85+95= 275
(a square is equaled to 360 degrees so you do this)
360°-275°= 85°
(Take away what the shape/angle is equal to from your findings in your first step) .
10) What is the absolute value of 27? *
Answer:
27
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
Please answer ASAP! If 0 is an angle in quadrant II, what is the value of sin(0)
Answer:
Option A
Step-by-step explanation:
It's given that cosθ = [tex]-\frac{2\sqrt{5} }{5}[/tex]
Since, cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = [tex]-\frac{2\sqrt{5} }{5}[/tex]
= [tex]\frac{2}{\sqrt{5}}[/tex]
By applying Pythagoras theorem in the right triangle,
(Hypotenuse)² = (Opposite side)² + (Adjacent side)²
(√5)² = (Opposite side)² + (2)²
5 = (Opposite side)² + 4
Opposite side = √(5 - 4)
= 1
Since, sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{1}{\sqrt{5}}[/tex]
Since, sine is positive in IInd quadrant,
sinθ = [tex]\frac{1}{\sqrt{5}}[/tex]
Therefore, option A will be the answer.
There must be fewer than 5 fish in the small aquarium. There are already 3 fish in the aquarium. What inequality represents the number of additional fish, f, that can be put into the aquarium? Drag and drop the appropriate symbols to correctly complete the inequality. 131 15 + > < < IV
If there are already 3 fish in the aquarium. Then the number of fish in the aquarium should be less than 2.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
There must be fewer than 5 fish in the small aquarium. There are already 3 fish in the aquarium. Then the inequality equation will be
Let the number of fish in the aquarium be x. Then the inequality equation will be
x < 5
But there are already 3 fish in the aquarium, then we have
x - 3 < 2
Then the number of fish in the aquarium should be less than 2.
More about the inequality link is given below.
https://brainly.com/question/19491153
Helppppppppppppppppppppppppppp
Answer:
126 [tex]m^{2}[/tex]
Step-by-step explanation:
Running the last lap of a 4 x 100-meter relay, Bob takes the baton for his team and pursues his opponent already 20 meters ahead of him. If Bob runs at an average speed of 8 meters per second and his opponent only runs 6 meters per second, will Bob overtake him and win the race? If he does not catch him, how close does he get before the opponent crosses the finish line? If he does catch him, how many seconds and how many meters will it take?
Answer:
v1 t = distance Bob travels
v2 t + 20 = distance opponent travels
v1 t = v2 t + 20
t = 20 / (v1 - v2) = 20 / (8 - 6) = 10 sec
In 10 sec Bob runs 80 m
In 10 sec opponent runs 20 + 60 m = 80 m
Which set of ordered pairs shows a function?
A. {(2,3),(2,6),(2,9),(2, 12), (2, 15)}
B. {(2,6).(-3,6).(-8,11), (6,2) (9,-7)}
C. {(3,-5),(4, -4),(5,-3),(4,-2),(3,-1)}
O D. {(3,8).(-3,2),(-6,0),(-3,-2),(3,-8)}
Help me please
Question is attached
Answer:
It should be C
Step-by-step explanation:
I hope this helps!
Which of the following are accurate descriptions of the distribution below? (LOOK AT IMAGE PLEASE I MARK BRAINLIEST)
Choose all answers that apply:
A: The Distribution has an Outlier
B: The Distribution has a peak at 22 degrees celsius
C: None of the Above
Answer:
B: The Distribution has a peak at 22 degrees celsius
Step-by-step explanation:
We are given a photo of a point plot, including with several descriptions and are asked to find which accurately describes the picture.
Let's take a look at our options,
A: The Distribution has an Outlier
This would be incorrect, an outlier is a point on any graph that doesn't really fit in well with all the other points, say there is a straight line with a bunch of dots surrounding it, then there is one dot that is far away from the rest, that is an outlier. Looking at the point plot, we see that all the dots fit in well together and no dots are really separated, therefore making this incorrect.
B: The Distribution has a peak at 22 degrees celsius
This would be correct, when referring to peak, the peak is supposed to represent the highest point or value a certain number/amount has. If we look at the point plot, we can see that there are the most dots at 22 than any other temperature. Therefore making it the peak, and making B correct.
C: None of the Above
This is obviously incorrect, B is a correct answer.
Which describes the effect of the transformations on the graph of f(x) = x^2 when changed to f(x) = 3(x+2)^2 - 4
HELP ASAP!!! I’m confused and need help guys!!! Thanks!!
Answer:
Triangle 2
Step-by-step explanation:
5, 12, 13
Use the Pythagorean Theorem
a^2 + b^2 = c^2
a = 5
b = 12
c = 13
25 + 144 = 169
a and b are side lengths
c is the hypotenuse
The theorem states that the square of the side lengths of a right triangle added together equals the square of the hypotenuse
Answer:
B is the right triangle because the sum of the square of each of the two shortest sides will equal the square of the longest side.
Step-by-step explanation:
Pythagorean Theorem says if a triangle is a right triangle with side lengths a, b, and c, then a^2 + b^2 = c^2 where c is the length of the longest side.
So, A. 16^2= 7^2 + 12^2 256 does not = 193 NOT a right triangle
B. 13^2= 5^2 + 12^2 169 = 169 Yes this is a right triangle
C. 9^2= 4^2 + 5^2 81 does not = 41 NOT a right triangle
D. 19^2= 8^2 + 15^2 361 does not = 289 NOT a right triangle
please help!! True or false??
Help please ?
Write a quadratic equation in standard form with the given root(s) -5,1/2
Answer:
2x^2+9x-5
Step-by-step explanation:
(X+5)(x-1/2)
x^2-1/2x+5x-5/2
x^2+9/2x-5/2
multiply through by 2
2x^2+9x-5