Answer:
The cup would contain 10.16 ounces.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Mean of 10 ounces, standard deviation of 1 ounce:
This means that [tex]\mu = 10, \sigma = 1[/tex]
If we simulated the filling process, and had the random number .564, how many ounces would the cup contain?
This means that we have to find X when Z has a pvalue of 0.564. So X when Z = 0.16. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.16 = \frac{X - 10}{1}[/tex]
[tex]X - 10 = 0.16*1[/tex]
[tex]X = 10.16[/tex]
The cup would contain 10.16 ounces.
solve 10x + 5y = 9 for y
Answer:
y= 9-10X/5
Step-by-step explanation:
Plz make me braibliest
Answer:
10x+5y=9 years
or,15xy=9 years
or,xy=15÷9
Ans=6xy.
Which of these sequences are arithmetic? Check all that apply.
–5, –3, 3, 13, 27, .
0, 1/4, 1/2, 3/4, 1, . . .
7, 14, 28, 56, 112, . . .
27, 40, 53, 66, 79, . . .
1, 2, 4, 8, . . .
What is the area of this figure?
2 yd
3 yd
4 yd
7 yd
4 yd
6 yd
square yards
Please helpp
Answer:
4032 square yards
Step-by-step explanation:
Area is multiplying the numbers together. Like if you were to find the area of a rectangle, you would need to multiply the length and width together. Don't forget to add a label at the end for more credit, such as square yards.
4, 20, 100, 500, what’s the next number?
4, 20, 100, 500, 2500
Answer:
2500
Step-by-step explanation:
multiply by 5 every time
If -4 ( 5x - 1) = 196, what is x?
Answer:
10
Step-by-step explanation:
divide each side by -4
5x-1=-49
5x=50
x=10
You are purchasing Cotton swabs that come in 2 different sized containers. One box contains 300 swabs for 2.99 and the other box is specially marked at 30% more swabs for the same price. How much will you save per sawn by buying the larger box?
Answer:
Buying the larger box, I will be saving 23% compared to the original price.
Step-by-step explanation:
Given that a box contains 300 swabs for 2.99 and the other box is specially marked at 30% more swabs for the same price, to determine how much will I save per swab by buying the larger box the following calculation must be performed:
2.99 / 300 = X
0.0099 = X
2.99 / (300 x 1.3) = X
2.99 / 390 = X
0.0076 = X
0.0099 = 100
0.0076 = X
(0.0076 x 100) / 0.0099 = X
77 = X
100 - 77 = 23
Therefore, buying the larger box I will be saving 23% compared to the original price.
Tina is 4 times older than Hanna. The sum of their ages is 40. How old is Hanna?
Answer:
Hanna is 8 years old.
Step-by-step explanation:
Hanna = x
Tina = 4x
Sum = 40.
Hanna =?
Hanna + Tina = 40
4x + x = 40
5x = 40
x = 40/5
x = 8.
Hanna is 8 years old.
Suppose that f (x) = 1.5x2 for -1 < x < 1 and f (x) = 0 otherwise. Determine the following probabilities.
a. P(0 < X)
b. P(0.5 < X)
c. P(-0.5 = X = 0.5)
d. P(X<-2)
e. P(X < 0 or X>-0.5)
f. Determine x such that P(x < X) = 0.05.
Answer:
a) P(0 < X) = 0.5
b) P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5) = 0.125
d) P(X< -2) = 0
e) P(X < 0 or X>-0.5) = 1
f) value of x is -0.9654
Step-by-step explanation:
Given that;
f(x) = 1.5x²
Now. the probabilities would be the integral of the given function from (-1 to 1)
a) P(0 < X)
P(X > 0)
⇒ Integral from 0 to 1 of f(x)
= (1/2)x³
= 1/2 - 0
= 0.5
Therefore; P(0 < X) = 0.5
b) P(0.5 < X)
P(X > 0.5)
this will also be done in the same way except that, the limits changes to { 0.5 to 1]
= (1)³/2 - (0.5)³ /2
= 0.4375
Therefore; P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5)
The limits become [-0.5 , 0.5]
= (0.5)³/2 - (-0.5)³/2
= 0.125
Therefore; P(-0.5 = X = 0.5) = 0.125
d) P(X<-2)
since value of f(x) = 0 in that region
Therefore P(X< -2) = 0
e) P(X < 0 or X>-0.5)
= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )
= 0.5 + 0.5625 - 0.0625
= 1
Therefore; P(X < 0 or X>-0.5) = 1
f) Determine x such that P(x < X) = 0.05.
Let the value be 'a'
Then, integral from -1 to a will = 0.05
a³ - (-1)³ = 0.05 × 2
a³ + 1 = 0.10
a³ = 0.10 - 1
a³ = -0.9
a = ∛-0.9
a = -0.9654
Therefore, value of x is -0.9654
a) P(0 < X) = 0.5
b) P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5) = 0.125
d) P(X< -2) = 0
e) P(X < 0 or X>-0.5) = 1
f) value of x is -0.9654
Determine the following probabilities:a) P(0 < X)
P(X > 0)
⇒ Integral from 0 to 1 of f(x)
[tex]= (1\div 2)x^3\\\\= 1\div2 - 0[/tex]
= 0.5
So; P(0 < X) = 0.5
b) P(0.5 < X)
P(X > 0.5)
Now
[tex]= (1)^3\div 2 - (0.5)^3 \div2[/tex]
= 0.4375
Therefore; P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5)
The limits become [-0.5 , 0.5]
[tex]= (0.5)^3\div 2 - (-0.5)^3\div 2[/tex]
= 0.125
Therefore; P(-0.5 = X = 0.5) = 0.125
d) P(X<-2)
since value of f(x) = 0 in that region
Therefore P(X< -2) = 0
e) P(X < 0 or X>-0.5)
= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )
= 0.5 + 0.5625 - 0.0625
= 1
Therefore; P(X < 0 or X>-0.5) = 1
f) Determine x such that P(x < X) = 0.05.
Let us assume the value be 'a'
So, integral from -1 to a will = 0.05
[tex]a^3 - (-1)^3 = 0.05 \times 2\\\\a^3 + 1 = 0.10\\\\a^3 = 0.10 - 1\\\\a^3 = -0.9\\\\a = \sqrt[3]{-0.9}[/tex]
a = -0.9654
Therefore, the value of x is -0.9654
Learn more about the probabilities here: https://brainly.com/question/24710931
Here is a list of numbers
13 14 18 23
18 23 30 36
From the numbers in the list, write down
the multiple of 4 and
the factor of 28
Answer:
multiple of4is 36 and factor of 28 is 14
hope it helps you
Answer:
The multiple of 4 is 36 and the factor of 28 is 14Step-by-step explanation:
The multiples of 4 : 4,8,12,16,20,24,28, 32, 36, 40, 44, 48,.....
The factors of 28 : 1,2,4,7,14 and 28
I hope it helps
The graph shows the location of P in point hour. Point are is on the Y axis and has the same Y coordinate of point PPoint Q is graft at (N, -2). The distance from P to Q is equal to the distance from P point R. What is the distance from point P to point Q? What is the value of N? Explain how you determine the distance from point B to point Q, and the value in. The graph shows the location of P in point R. Point are is on the Y axis and has the same Y coordinate of point P
Answer:
I cant understand read ur lesson and ask help from ur teacher
#CarryOnLearning
What is the value of z?
Answer:
27°
Step-by-step explanation:
117-90=27°
27
sorry for bad sketching
Halla el MCM de 3 y 5 enumerando múltiplos.
A. 15
B. 35
C. 53
D. 8
E. Ninguno de los anteriores
Answer:
A. 15
Step-by-step explanation:
Mínimo Común Múltiplo (MCM)
El MCM entre dos o más enteros es el menor múltiplo común a todos ellos. Por ejemplo, el MCM de 20 y 30 es 60 porque es el menor múltiplo común a ambos números.
El MCM entre 3 y 5 se puede determinar listando los múltiplos de cada uno:
Múltiplos de 3: 3, 6, 9,12, 15, 18, 21, 24
Múltiplos de 5: 5, 10, 15, 20, 25, 30
Se puede observar que el primer múltiplo que aparece en ambas listas en 15, luego la respuesta es:
A. 15
The area of a rectangle is 1260 square inches. Its length is 36 inches.
Find the width
How much simple interest would $1,000 earn in 275 days at an Interest rate of 4.21%
Please help with my question
Answer:
Your answer is "C"
Step-by-step explanation:
Dont ask me how I know, I just know
No clue why but brainly said I had inappropriate words in my answer so here's a picture
Suppose a - b = 0Which one of these expressions equals ab?
A. 2a
B. 0
C. b^2
D. 2b
E. a/b
If a-b=0, a=b, so ab=bb=b^2
Answer:
b^2
Step-by-step explanation:
a - b = 0
Add b to each side
a-b+b = 0+b
a=b
We want to find ab
Replace a with b
b*b
b^2
Solve for X in 4^x + 6^x = 9^x
Answer:
4^x + 6^x = 9^x
9^x=9^x
x=x
Consider the function given by f(x)= x² +3. Find its average rate of change from x = -2 to x = 4.
Carefully show the work that leads to your final answer.
Answer:
[tex]Rate = 2[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2 + 3[/tex]
Required
Determine the average rate of change from -2 to 4
This is calculated using:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
In this case:
[tex]a = -2[/tex]
[tex]b = 4[/tex]
So, we have:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
[tex]Rate = \frac{f(4) - f(-2)}{4 - (-2)}[/tex]
[tex]Rate = \frac{f(4) - f(-2)}{4 +2}[/tex]
[tex]Rate = \frac{f(4) - f(-2)}{6}[/tex]
Calculate f(4):
[tex]f(x) = x^2 + 3[/tex]
[tex]f(4) = 4^2 + 3[/tex]
[tex]f(4) = 19[/tex]
Calculate f(-2)
[tex]f(x) = x^2 + 3[/tex]
[tex]f(-2) = (-2)^2 + 3[/tex]
[tex]f(-2) = 7[/tex]
So:
[tex]Rate = \frac{f(4) - f(-2)}{6}[/tex]
[tex]Rate = \frac{19-7}{6}[/tex]
[tex]Rate = \frac{12}{6}[/tex]
[tex]Rate = 2[/tex]
The average rate of change is 2.
PLS HELP I WILL BRAINLIEST 15 PTS
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. At the end of the night, the driver calculates his profits and makes a graph to analyze the data. What is the average rate of change for the data from the 2nd hour to the 6th hour? Be sure to include the correct units of measurement.
a scatter plot with x axis labeled Hour and y axis labeled Money Earned in Dollars per Hour with points at 1 comma 54 and 2 comma 58 and 3 comma 64 and 4 comma 78 and 5 comma 96 and 6 comma 126 and 7 comma 99 and 8 comma 75
17 hours
68 dollars
17 dollars per hour per hour
68 dollars per hour per hour
Answer:
17
Step-by-step explanation:
A slope is also known as the gradient of a line. The correct option is C, 17 dollars per hour.
What is Slope?A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
The average rate of change for the data from the 2nd hour to the 6th hour is,
Average rate = ($126 - $58)/(6 hour - 2 hour)
= 68/4 dollar per hour
= 17 dollars per hour
Hence, The average rate of change for the data from the 2nd hour to the 6th hour is 17 dollars per hour.
Learn more about Slope of Line:
https://brainly.com/question/14511992
#SPJ5
g(m) = m3 - 10m² + 25m + 2 at m = 6.
Answer:
G(6) = -190
Step-by-step explanation:
G(6) = (6 *3) - [10*(6)^2] + 25(6) + 2
G(6) = 18 -360 + 150 + 2
G(6) = -190
Emily made 20 basketball free throws and made 13 of them. What is the experimental probability of Emily making a basket?
What is the probability that Emily doesn’t make a basket?
number made / number attempted = 13/20
number missed / number attempted = (20-13)/20 = 7/20
a truck just left the weigh station on interstate 40. it weighted 6 tons 500 pounds and had a load of 1,200 pounds. How much would the transfer truck alone weigh?
Answer:
The weight limit on the bridge is75,500 pounds. ... In pounds, how much cargo can the truck carry and still be ... Helllppp pleaseeee A rancher has a three sided plot of ..
Find 47.5% of 690 (remember this is a non calculator question)
Answer:
327.75
Step-by-step explanation:
Daniel wants to buy a used car to get back and forth to work
Answer:
thats good on daniel it will save him time.
Answer:
Yea it will save him time
Step-by-step explanation:
There's no question so...
The electric-vehicle manufacturing company Tesla estimates that a driver who commutes miles per day in a Model S will require a nightly charge time of around hour and minutes ( minutes) to recharge the vehicle's battery (Tesla company website). Assume that the actual recharging time required is uniformly distributed between and minutes.
A. Give a mathematical expression for the probability density function of battery recharging time for this scenario.
B. What is the probability that the recharge time will be less than 110 minutes?C. What is the probability that the recharge time required is at least 100 minutes?D. What is the probability that the recharge time required is between 95 and 110 minutes?
Answer:
Following are the solution to the given points:
Step-by-step explanation:
Please find the complete question in the attached file.
In this question, we assume that "x" denotes as an actual time of the battery charging, that is a uniform random variable that [tex]x \sim U(90, 120)[/tex]
In point a:
so, pdf of x =
[tex]\to f(x)= \frac{1}{120-90} = \frac{1}{30} \\\\\to 90 < x <120[/tex]
In point b:
To find
[tex]\to P(x<110) = \int^{110}_{90} \frac{1}{30} \ dx\\\\=\frac{110-90}{30}\\\\=\frac{20}{30}\\\\=\frac{2}{3}\\\\[/tex]
In point c:
[tex]\to P(x<100) = \int^{100}_{90} \frac{1}{30} \ dx \\\\= \frac{100-90}{30}\\\\= \frac{10}{30}\\\\= \frac{1}{3}\\\\[/tex]
In point d:
[tex]\to P(95< x< 110)[/tex]
[tex]= \int^{110}_{95} \frac{1}{30} \ dx\\\\= \frac{110-95}{30} \\\\= \frac{15}{30} \\\\= \frac{1}{2}[/tex]
Find the slope of the line that contains (4, 8) and (3, 1).
Answer
Step-by-step explanation:
yl grafica
Answer:
The slope would be -7
Step-by-step explanation:
To find the slope, you find two points on a line and find the difference between x-values and y-values. Then divide the difference of y-values by the difference of x-values to acquire the slope. [tex]\frac{8-1}{-4+3}[/tex] = [tex]\frac{7}{-1}[/tex] or -7, so that would be the slope.
A Furniture maker used 9/10 of a can of paint to paint 9 chairs. she used the same amount of paint for each chair. How many cans of paint did she use for each chair in
Answer:
The person used 1/10 (one tenth) of the can to paint one chair.
Step-by-step explanation:
If she used 9/10 of the can to paint 9 chairs using same amount with each, then for each chair she used:
9/10 divided by 9 = 9/10 * 1/9 = 1/10 of the can.
What is the square root
Which function shows a positive rate of change?
Answer: C
Step-by-step explanation:
C. because rate of change is the slope aka y/x. The other answers give off negative slopes when determining y/x.
Find the volume of the Triangular Prism
Volume
Answer:
Volume = 144 m³
Step-by-step explanation:
Volume of triangular prism = ½*b*h*l
Where,
Base of triangular base (b) = 4 m
Height of triangular base (h) = 12 m
Length of prism (l) = 6 m
Volume = ½*4*12*6
Volume = 2*12*6 = 144 m³
Answer:
144cm3 is the right answer
Step-by-step explanation:
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