Answer:
107r³
Step-by-step explanation:
Try solving it using
An algebraic expression that represents the product of r cubed and one hundred seven is 107r³.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that represents the product of r cubed and one hundred seven.
Therefore, an algebraic expression that represents the situation
r cubed = r³
one hundred seven = 107
Thus, it would be;
107r³
Hence, an algebraic expression that represents the product of r cubed and one hundred seven is 107r³.
To know more about an expression follow;
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If John gets paid $45.00 an hour and works 10 hours, how much does he earn?
In a lumberjack competition, a contestant is blindfolded and then spun around 9 times. The contestant then immediately tries to hit a single point (the target) in the middle of a horizontal log with an axe (while still blindfolded). The contestant receives
15 points if their swing is within 3cm of the target.
10 points if their swing is between 3cm and 10cm of the target.
5 points if their swing is between 10cm and 20cm of the target
zero points if their swing is further away from the target (and someone may lose a finger!).
Let Y record the position of the hit, so that Y = y > 0 corresponds to missing the target point to the right by y cm and Y = - y < 0 corresponds to missing the target to the left by y cm. Assume that Y is normally distributed with mean mu = 0 and variance 100 cm^2. Find the expected number of points that the contestant wins.
Answer:
9.364 is the expected number of points.
we can approximate this to 10 points if we want a whole number
Step-by-step explanation:
We have these variables:
[0,5,10,15]
P(x= 0) = p(y>20)+p(y<-20) = 2p(y>20)
P(x=5) = p(-20<=y<=10)+p(10<=y<=20) = 2p(10<=y<=20)
P(x=10) = p(-10<=y<=-3)+p(3<=y<=10) = 2p(3<=y<=10)
P(x=15) = p(-3<=y<=3) = 2p(0<=y<=3)
Z = y/10
Therefore
P(x= 0) = 2(y>20)
= 2p(z>2) = 2(1-p<=2)
= 2(1-0.9772)
= 0.0456
P(x= 5)
= 2p(10<=y<=20)
= 2p(1<=z<=2)
= 2(0.9772-0.8413)
= 0.2718
P(x= 10)
= 2p(3<=y<=10)
= 2p(0.3<=z<=1)
= 2(0.8413-0.6179)
= 0.4468
P(x = 15)
= P(0.6179-0.3821)
= 0.2358
To get expected value of Y
0(0.0456)+5(0.2718)+10(0.4468)+15(0.2358)
= 1.359 + 4.468 + 3.537
= 9.364
E[Y] = 9.364
1 of 8
© An object has a mass of 240 kg and a volume of 8 m3.
Find the density of the object in kg/m²
o
kg/m3
Answer: 30 kg/m³
Step-by-step explanation: density = mass / volume
Density is 240 kg / 8 m³
I’m stuck on this one. Can any one help me?
3, and apparently its "too short of an answer on this website"
Does this situation involve a permutation or a combination, then solve? Selecting 4 out of 50 minions to compete in a dancing competition.
Answer:combination
Step-by-step explanation: just did the assignment
Please Help No fake answers
Answer:
5.09 or 5.10(if u round up)
Step-by-step explanation:
When you convert √24 it will be 5.099
The decimal point must lie between 5 and 0
Hope this helps:)
Which of the following rules represents the function shown in the table?
Answer:
I do not know
Step-by-step explanation:
PLEASE HELP
WILL MARK BRAINLIEST (not if you get it wrong)
Just with the median question :)
Answer:
Group one has the larger median
Step-by-step explanation:
Group One:
By taking off 8 on both ends we see that the median is 53 for group one.
33, 35, 40, 41, 43, 46, 48, 49, 53, 54, 55, 58, 58, 58, 62, 62, 67
Group two:
By taking off 8 on each end as well we get 47 and 49.
35, 38, 40, 41, 42, 43, 47, 47, 47, 49, 50, 50, 53, 54, 57, 61, 66, 69
we then take the average of the two numbers
47 + 49 = 96
96 / 2 = 48
write an equation of the line that passes through the given point and has the given slope (6,4) slope -3/4
Answer:
Its slope is
m = -1/(1/2) = -2
y = -2x + b
Get b from the given point.
-4 = -2(6) + b
b = 8
y = -2x + 8
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given slope (m) = -3/4
and x1 = 6
and y1 = 4
Solve for b (y2) using x2 = 0.
m = -3/4 = (y2-y1)/(x2-x1)
-3/4 = (4-y1)/(6-0)
-3/4 = (4-y1)/6
-(3/4)*6 = 4 - y1
-18/4 = 4 - y1
y1 = b = 16/4 + 18/4 = 34/4 = 8 1/2
therefore the correct answer should be:
Equation of the line:
y = -3/4x + 8 1/2
Based on concerns raised by his preliminary research, the biologist decides to collect and examine 150 frogs.
a) Assuming the frequency of the trait is still 1 in 8, determine the mean and standard deviation of the number of frogs with the trait he should expect to find in his sample.
b) Verify that he can use a Normal model to approximate the distribution of the number of frogs with the trait.
c) He found the trait in 22 of his frogs. Do you think this proves that the trait has become more common?
Explain.
Answer:
Answered and explained below
Step-by-step explanation:
A) We are told that frequency of the trait is still 1 in 8. Thus, population proportion; p = 1/8 = 0.125
Sample size; n = 150
Formula for mean is;
μ = np
μ = 150 × 0.125
μ = 18.75
Formula for standard deviation is;
σ = √(np(1 - p))
σ = √(150 × 0.125(1 - 0.125))
σ = √16.40625
σ = 4.05
B) usually, when np ≥ 10 , we make use of normal distribution.
I'm this case, it is 18.75 which is greater than 10.
Thus,we can use a normal model to approximate the distribution.
C) we are told that he found the trait in 22 of the frogs.
Thus;
Proportion is now; 22/150 = 0.1467
This is a higher probability that the initial one of 0.125 and we can say that the trait has become more common.
pls hurry if you can. A What is the volume of this cube?
Question 5 options:
26.46 cm3
9.261 cm3
6.3 cm3
Answer:
9.261 cm³
Step-by-step explanation:
2.1x2.1x2.1=9.261
Answer:
9.2
Step-by-step explanation:
the answer is 9.2 yo multiplu 2.1x2.1x2.1
(THIS IS NOT A TEST OR AN ASSESSMENT QUESTION)
Hugo averages 32 home runs per season with a standard deviation of 2.5. Jacob averages 27 home runs per season with a standard deviation of 1.6. Last season Hugo hit 36 home runs and Jacob hit 31 home runs. Who had more home runs relative to their usual seasonal average? Explain.
Answer:
Jacob had more home runs relative to his usual season average than Hugo did.
Step-by-step explanation:
The key solving this is to express their respective home runs in z-value forms.
Z = (x - ų)/óx
X = Current home runs
Ų = Mean
= Meanóx = Standard deviation
For Hugo,
X = Current home run = 31
Ų = Mean = 27
Óx = Stardard deviation = 1.6
Z = (x - ų)/óx
Z = (31 - 27)/1.6 = 2.5
Hope this helped!!!
The person who had more home runs relative to their usual seasonal average was Jacob.
Calculations and Parameters:Representing their home runs in z-value forms.
Where
Z = (x - ų)/óxX = Current home runsŲ = Mean= Meanóx = Standard deviation
To find the home run for Hugo,
X = Current home run = 31Ų = Mean = 27Óx = Stardard deviation = 1.6Therefore,
Z = (x - ų)/óx
Z = (31 - 27)/1.6
= 2.5
Hence, Jacob had the most home runs relative to their usual seasonal average.
Read more about standard deviation here:
https://brainly.com/question/12402189
List the containers from least to greatest: 1.73, 2.061, 1.59, 2.1
g Based on data from the Garbage Project conducted by the Midwestern State University the weights of paper discarded by the households in a certain residential area weekly is Normally distributed with the average of 7.95 lb and the standard deviation of 3.12 lb. Which value separates the top 2% of the weekly discarded paper weights in this area
Answer:
The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.
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.
Normally distributed with the average of 7.95 lb and the standard deviation of 3.12 lb.
This means that [tex]\mu = 7.95, \sigma = 3.12[/tex]
Which value separates the top 2% of the weekly discarded paper weights in this area?
This is the 100 - 2 = 98th percentile, which is X when Z has a pvalue of 0.98. So X when Z = 2.054.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.054 = \frac{X - 7.95}{3.12}[/tex]
[tex]X - 7.95 = 2.054*3.12[/tex]
[tex]X = 14.36[/tex]
The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.
I need to know 2, 3, and 4.
Answer:
Step-by-step explanation:
Let the equation of the line 'a' is,
y = mx + c
Here, m = slope of the line
c = y-intercept
For line 'a',
Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
m = [tex]\frac{10}{16}[/tex]
m = [tex]\frac{5}{8}[/tex]
y-intercept = 20
Therefore, equation of the line 'a' is,
y = [tex]\frac{5}{8}x+20[/tex]
Similarly, equation of the line 'b' is,
y = m'x + c'
Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
m' = [tex]\frac{20}{16}[/tex]
m' = [tex]\frac{5}{4}[/tex]
y-intercept = 0
Therefore, equation of the line is 'b' is,
y = [tex]\frac{5}{4}x[/tex]
1). Line 'b' represents a proportional relationship → FALSE
2). The constant of proportionality of y to x for line 'a' is [tex]\frac{1}{2}[/tex] → FALSE
3). The ratio of y-coordinate to x-coordinate of one of the points on line b is 25 : 8 → FALSE
4). let a passes through the point [tex](1,\frac{5}{4})[/tex] so the constant of proportionality is [tex]\frac{5}{4}[/tex] → TRUE
Answer this question and I will mark you branilist
Answer: F
Step-by-step explanation:
pls helpp !!! ASAP i’ll give you the brainlest answer ONLY if the answer is correct!! BUT PLS HELP ME outt last minute
Answer:
10 is the right answer
Step-by-step explanation:
please mark me as brainliest answer
helppppppppppppppppppppp
An Internet company located in Southern California has season tickets to the Los Angeles Lakers basketball games. The company president always invites one of the seven vice presidents to attend games with him, and claims he selects the person to attend at random. One of the seven vice presidents has not been invited to attend any of the last four Lakers home games. What is the likelihood this could be due to chance
Answer:
0.5398
Step-by-step explanation:
Given that :
Total possible numbers vice presidents invited = 7
Required number of vice presidents invited = 1
Probability that a certain vice president is invited ;
P(a certain V. P is invited) = required outcome / Total possible outcomes
P(a certain V. P is invited) = 1/ 7
P(1 of the V. P's hasn't been invited to attend any of the last 4 games)
Then ; it means any of the remaining (7 - 1) = 6 has been invited ;
Hence,
P(1 of the V. P's hasn't been invited to attend any of the last 4 games) = ((7-1) / 7)^4
Likelihood that it could be due to chance :
(6/7)^4 = 0.5397750
= 0.5398
Plz help this is 400 points. Nancy bought a Reuben sandwich and received her change in several coins. The cashier handed Nancy 2 half dollars, 3 quarters, 4 dimes, 4 nickels, and 1 penny. How much money did Nancy get in change?
Answer:
2.35
Step-by-step explanation:
2x50=100
3x25=75
4x10=40
4x5=20
100+75+40+20=2.35
Solve for x. 5a/x = 5b/ x-1
Answer:solve for x 5a/x = 5b/ x-1 - 11261842. ... out the denominators by multiplying both sides by the bottom, you can then factor to find X= a / (a-b).
Step-by-step explanation:
Solve similar triangles (advanced)
Solve for x
x=?
Answer:
x = 1.2
Step-by-step explanation:
AD/AB = DE/BC (Similarity Theorem)
AD = 6 + 4 = 10
AB = 6
DE = 2
BC = x
Plug in the values
10/6 = 2/x
Cross multiply
10*x = 2*6
10x = 12
Divide both sides by 10
x = 12/10
x = 1.2
HELP ME WITH A MATH PROBKEM Type a number that has a value less than 4.7|
Answer:
i think
all the numbers between
0 to 4.6
Hey guys can you guys help me thanks :)
Answer:
d
Step-by-step explanation:
60x9 =540
Does this graph represent a function? Why or why not?
Answer:
The answer is a because it does pass the verticle line test
Gina uses 6.4 pints of white paint and blue paint to paint her bedroom walls. 1/4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:
4.8
Step-by-step explanation:
6.4×1/4=1.6
6.4-1.6=4.8
what is the difference in hours and minutes between these times 10:35 2:40
Answer:
10:35
11:35
12:35
1:35
2:35
=Thats 4 hours
and then 40-35=5
So 4hours 5 minutes
Answer:
yeah
Step-by-step explanation:
im reply cause I want to ask a questionbx
If 50% of a number is 150 and 30% of the same number is 90, find 80% of that number.
Answer:
240
Step-by-step explanation:
We know that 50% of the number is 150 so we can assume the number is 300(if its 50% just double that number). Next we use the equation 0.80 x 300 which gives us the answer 240.
Hope I helped
Answer:
240
Step-by-step explanation:
50%*x=150
0.5x=150
x= 300
30%*x=90
0.3x= 90
x= 300
80%*300=
0.8*300= 240
An isosceles triangle has two angles that are each 57. Find the measure of the third angle
Answer:
The third angle measures 66°
Step-by-step explanation:
If we look at the properties of triangles, we will know that all triangles have angles that, when added together, equal 180 degrees. Because we already know the measurement of two of the angles, all we have to do is add them up and subtract the sum by 180.
57+57=114
180-114=66
We got 66 as the measure of the last angle. Now, to make sure we have the right answer, we are going to check our work. We do this by adding together all of the angle measurements. If they all add up to 180, then we know we have the correct answer.
57+57+66=180
We were correct! Now we have the measurements of all three of the triangle's angles. Great job!
I hope this is easy to understand. Please let me know if you need any more help. Have a great morning!
A nationally known producer of snack cakes is preparing to launch a new lemon-flavored cake. The marketing department wants to test the differences in customer experiences with the cake, depending on the coloring that is added to the batter during baking. The department thinks that the novelty of a lemon cake with blue coloring will make the cake-eating experience and taste more enjoyable. Thirty participants, taken from among the customers who came to their on-site store, are brought to the lab and asked to taste two different cakes each: one that is tinted blue and one that is tinted bright yellow. The participants rate each cake on a scale from 1 to 7, with higher numbers indicating greater sweetness. The researcher found the following: MBlue = 5.6 MYellow = 3.42 sD = 2.46
In the food science experiment, when comparing the observed statistic to the critical value, what is the correct statistical decision and interpretation?
A. Fail to reject the null hypothesis and conclude that customers rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow.
B. Reject the null hypothesis and conclude that customers rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow.
C. Fail to reject the null hypothesis and conclude that customers do not rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow.
D. Reject the null hypothesis and conclude that customers do not rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow.
Answer:
A. Fail to reject the null hypothesis and conclude that customers rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow
Step-by-step explanation:
The researcher found out that;
MBlue = 5.6 and MYellow = 3.42
This means that more customers found lemon snacks cake tinted blue as sweeter since Mblue > Myellow.
Null hypothesis is that lemon cake with blue coloring will make the cake-eating experience sweeter and more enjoyable.
Thus; since Mblue > Mellow, we will Fail to reject the null hypothesis and conclude that the customers rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow.
