Answer:
250
Step-by-step explanation:
From the question given above,
y varies directly as the cube of x. This can be written as
y ∝ x³
y = Kx³
Next, we shall determine the value of the constant (K) as follow:
y = 54
x = 3
K =?
y = Kx³
54 = K × 3³
54 = K × 27
Divide both side by 27
K = 54/72
K = 2
Finally, we shall determine the value of y when x is 5. This can be obtained as follow:
x = 5
K = 2
y =?
y = Kx³
y = 2 × 5³
y = 2 × 125
y = 250
Therefore, the value of y is 250
Kevin has four apples in a boat each apple weighs 60 G and the empty bowl weighs 40 grams what is the total weight of the four apples with the bow
9514 1404 393
Answer:
280 g
Step-by-step explanation:
The total weight is the sum of the weights of the objects:
total = bowl + apple + apple + apple + apple
We use multiplication to simplify repeated sums:
total = bowl + 4 × apple
total = (40 g) + 4 × (60 g) = 40g + 240 g
total = 280 g
The bowl and 4 apples weighs 280 grams.
The amount of gasoline G sold each month to customers at Bob's Exxon station in downtown Navasota is a random variable. This random variable G can be described as having a normal distribution with mean 2500 gallons and a standard deviation of 250 gallons (and there is no seasonal variation in sales). Exxon will give Bob an all-expense paid trip to College Station, including a free dinner at Burger King, if his station pumps more than 3000 gallons in any one month.
Required:
What is the probability that Bob will win that wonderful trip on the basis of his gasoline sales this month?
Answer:
The probability is [tex]0.0228[/tex]
Step-by-step explanation:
Let's start by defining the random variable [tex]G[/tex] as :
[tex]G:[/tex] '' The amount of gasoline sold each month to customers at Bob's Exxon station in downtown Navasota ''
Therefore, if [tex]X[/tex] is a continuous random variable that has a normal distribution, we write [tex]X[/tex] ~ [tex]N[/tex] ( μ , σ )
Where ''μ'' is the mean and ''σ'' is the standard deviation.
For the random variable [tex]G[/tex] we write :
[tex]G[/tex] ~ [tex]N(2500,250)[/tex]
We need to find [tex]P(G>3000)[/tex]
In order to calculate this, we are going to standardize the variable. This means, finding the equivalent probability in a normal random variable
[tex]Z[/tex] ~ [tex]N(0,1)[/tex]
We perform this because the random variable [tex]Z[/tex] ~ [tex]N(0,1)[/tex] is tabulated in any book or either you can find the table on Internet.
To standardize the variable we need to subtract the mean and then divide by the standard deviation ⇒
[tex]P(G>3000)[/tex] ⇒ P[ (G - μ) / σ > [tex]\frac{3000-2500}{250}[/tex] ] ⇒ [tex]P(Z>2)[/tex]
Because (G - μ) / σ ~ [tex]Z[/tex]
Finally, [tex]P(G>3000)=P(Z>2)[/tex] ⇒ [tex]P(Z>2)=1-P(Z\leq 2)[/tex] = 1 - Φ(2)
Where '' Ф(x) = [tex]P(X\leq x)[/tex] '' represents the cumulative function of [tex]Z[/tex]
Looking for Φ(2) in any table,
[tex]P(G>3000)=P(Z>2)=1-P(Z\leq 2)=1-0.9772=0.0228[/tex] ≅ %2.28
We found out that the probability is [tex]0.0228[/tex]
Suzy wants a triangular sandbox. Her dad makes a sandbox/triangle out of boards that are 9 ft, 12 ft, and
15 ft. Does Suzy's sandbox make a right triangle?
O True
O False
Find the value of 5a2−2a−10 if a=−6
ANSWER FOR BRAINLIEST
Hi there!
[tex]\large\boxed{182}[/tex]
Equation:
5a² - 2a - 10 for a = -6.
Evaluate by plugging in -6 for a:
5(-6)² - 2(-6) - 10 =
5(36) - (-12) - 10 =
180 + 12 - 10 = 182.
how many 2/3 size pieces are in 4 wholes
Answer:
3rd
Step-by-step explanation:
the 3rd makes 1 whole
6 and 5 hundredths written in decimal
Answer:6.05
Step-by-step explanation:
6 is the ones place. 0 is the tenths place. 5 is the hundredths place.
what number should be added to 1253 to get 3000
Answer:
1747
Step-by-step explanation:
3000 - 1253 = 1747
Therefore 1747 should be added to 1253 to get 3000.
Hi can you please tell me the answe to this question its due in a few mins. Thank you so much!!
Answer:
LNO I BELIEVE
Step-by-step explanation:
IT MAKES THE SAME SHAPE THAT NMO MAKES
Chuck and Blaire decided to share a 10
ounce bag of candy. They ate of the
bag. How many ounces of candy did
they eat?
Pls help me!
Answer:
A. 7 1/6
Step-by-step explanation:
10 3/4 * 2/3=
43/4 * 2/3= 86/12
86/12 = 7 2/12 = 7 1/6
A company weighs 1,096 boxes of cereal and finds that 12.5% of them weighed less than one pound. Which of
the following is the number of boxes that weighed less than one pound?
Answer:
500
Step-by-step explanation:
Helopppppp pleaseeeeeee
Answer:
x=2, x=1/2, x=-2/3
Step-by-step explanation:
First factor and get (x-2)(2x-1)(3x+2)=0
Then you set each of these parentheses individually equal to 0. x-2=0, 2x-1=0, 3x+2=0. Then you just simplify these to get your final answer that I showed above.
Select the correct answer.
It is 170 miles from Bruce's house to the city where his brother lives. On his last trip to visit his brother, he drove for 2 hours at 55 miles per
hour. Then he came to some very bad road construction. The rest of the trip took 2 hours. How many miles per hour did Bruce drive for the rest
of the trip?
Va
Answer:
He drove the rest of the trip at 30 miles per hour
Step-by-step explanation:
The rule of the distance is D = v × t, where
v is the speedt is the time∵ It is 170 miles from Bruce's house to the city where his brother lives
∴ D = 170 miles
∵ He drove for 2 hours at 55 miles per hour
∴ t1 = 2 hours and v1 = 55 miles/hour
→ By using the rule above find the distance of this part of his trip
∴ D1 = 55 × 2 = 110 miles
∵ The rest of the trip took 2 hours
∴ t2 = 2 hours
∵ D = D1 + D2
→ Substitute the values of D and D1 to find D2
∴ 170 = 110 + D2
→ Subtract 110 from both sides to find D2
∴ 60 = D2
∴ D2 = 170 - 110 = 60 miles
∵ The rest of the trip is 60 miles
∵ It took 2 hours
∵ D2 = v2 × t2
∴ 60 = v2 × 2
→ Divide both sides by 2
∴ 30 = v2
∴ v2 = 30 miles/hour
∴ He drove the rest of the trip at 30 miles per hour
please hurry need help now
What is the solution to Ex- 3? 25 Ox> 18 25 Ox>2 O x
Answer: c, but I’m not totally sure
Step-by-step explanation:
Shana, who lives in Canada, and Pearl, who lives in Pennsylvania, were discussing the weather. Shana complained about the cold temperature of Negative 20 degrees Celsius. Pearl, who lives in Pennsylvania, mentioned that her temperature was the opposite of Shana’s. Which is the correct way to represent “the opposite of Shana’s temperature is equal to Pearl’s”? Negative 20 = 20 Negative (negative 20) = negative 20 Negative (20) = negative 20 Negative (negative 20) = 20
Answer:
the answer is -20 =20
Step-by-step explanation:
the opposite of 20 is -20
Answer:
im going to edit it when i finish the quiz
Step-by-step explanation:
Ok this is the edit and the person above me is wrong so i think it would be - ( -20) = 20 or D
If 13 - 3z= 15z +4, z = ?
Answer:
z = 1/2 or 0.5
Step-by-step explanation:
13 - 3z = 15z + 4
+3z +3z
13 = 18z + 4
-4 -4
9 = 18z
z = 9/18
z = 1/2 or 0.5
A. It is a function, but it is not one-to-one.
B. It is a many-to-one function.
C. It is not a function
D. It one-to-one function
Answer:
it is a one-to-one function
Step-by-step explanation:
it passes the horizantal line test
Susan has a piggy bank with 28 coins in it, all dimes and quarters. She has been collecting state quarters and so far has no repeats. If the piggy bank has $5.50. how many more quarters does Susan need before she has a quarter from each of the 50 states?
HELP I WILL GIVE POINTS AND BRAINLIEST
Answer:
She needs 32 quarters.
Step-by-step explanation:
d = dime q = quarters
d + q = 28 so d = 28-q
0.1d + 0.25q = 5.50
0.10 * (28-q) + 0.25q = 5.50
2.80 - 0.10q + 0.25q = 5.50
0.15q = 5.50 - 2.80
0.15q = 2.70
q = 2.70 / 0.15
q = 18 quarters (she has)
50-18= 32 quarters (she needs)
$3.29 for 9.25 ounces
How much is it per ounce?
Answer:
About $0.36 per ounce
Step-by-step explanation:
Set up a proportion.
Let p = price per ounce
3.29/p = 9.25 ounces/(1 ounce)
9.25p = 3.29
p = 3.29 ÷ 9.25
p = 0.3556756757
We can say 35 cents per ounce or 36 cents per ounce if rounded to 2 decimal places.
What is the slope of this line? Plz
Answer:
-2
Step-by-step explanation:
HELP ASAP! What are the slope and y-intercept of the linear function that is represented by the table?
A. The slope ls -2, and the y-intercept is 6.
B. The slope ls -2, and the y-intercept is 12.
C. The slope is 2, and the y-intercept is 6.
D. The slope is 2, and the y-intercept is 12.
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
Use two points and find slope initially so,
(-3,18) (0,12)
18-12=6 , -3-0= -3
so the slope is 6/-3 = -2 so by this answer is either a or b .
further apply y =mx + c as it linear to find c
y= -2x + c
0 = -2x6 + c
c = 12
so slope is -2 , c is 12
what is the length of BC
Answer:
17
Step-by-step explanation:
this is an isosceles triangle so AB = AC
2x-8 = x + 9
x -8 = 9
x = 17
so CB = 17
Raise to the power:
c
(–3y)4
Answer:
3^4 x y^4
Step-by-step explanation:
What’s the product of (23-8c) - (5c-1)
Answer:
[tex]40c^{2}[/tex] -123c + 23
Step-by-step explanation:
1. First you need to distribute the negative sign to the second binomial
(23 - 8c) - (5c - 1)
(23 - 8c) (-5c + 1)
2. Distribute each term in the first binomial to each term in the second binomial, FOIL (first, outer, inner, last)
(23 - 8c) (-5c + 1)
-115c + 23 + [tex]40c^{2}[/tex] -8c
3. Combine the like terms
-115c + 23 + [tex]40c^{2}[/tex] -8c
[tex]40c^{2}[/tex] -123c + 23
hope this helps!
In a study of the causes of death, it was found that 52% of all Americans die from heart disease. Find the probability that in a group of 500 randomly selected Americans, at least 275 die from heart disease.
Answer:
55%
Step-by-step explanation:
100/500=0.2
0.2 x 275= 55
55%
a bike wheel radius has a radius of 23 inches and a circumference of 144 inches. what is the diameter
Answer:
Diameter is 11.5 inches
Step-by-step explanation:
a) ¿Cuántas décadas han transcurrido desde 1917 hasta 2020
mickey is typing in the computer lab and typing at 23 words per minute if he types for 11 minutes how many words does he type
Answer:
253 wpm
Step-by-step explanation:
23*11 which is 253.
Hope this helps plz mark brainliest :D
Suppose you scored 95 on a measure where the mean was 110 and the standard deviation was 15. Assuming a normal distribution, what percentage of scores should fall between your score and the mean?
Answer:
34% of scores should fall between your score and the mean.
Step-by-step explanation:
Let X denote the score.
It is provided that X follows a normal distribution with mean 110 and standard deviation 15.
A students score, x = 95.
Compute the probability of scores that should fall between the student's score and the mean as follows:
[tex]P(95<X<110)=P(\frac{95-110}{15}<\frac{X-\mu}{\sigma}<\frac{110-110}{15})[/tex]
[tex]=P(-1<Z<0)\\\\=P(Z<0)-P(Z<-1)\\\\=0.50-0.15866\\\\=0.34134\\\\\approx 0.34[/tex]
Thus, 34% of scores should fall between your score and the mean.
There are 36 carpenters in a crew. On a certain day, 18 were present. What percent of the crew was present?
Answer:
On this day, 1/2, or 50%, of the crew was present.
Step-by-step explanation:
Simplify: 18/36 = 1/2
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer as Brainliest. Have a great day!
5. Which equation is an open sentence?
A 3(x) = 12
B 12 = 4(2) + 3
C 7 +5 = 2
D 6(2) = 12
ay
Answer:
a
Step-by-step explanation:
there is an unknown thingy which is x