3. Calculate the area of the shape below. *
6 cm
5cm
13 cm
Answers
Answer:
390cm³
Step-by-step explanation:
6cm×5cm×13cm= 30cm²×13cm= 390cm³
Related Questions
Suppose a family has saved enough for a 10 day vacation (the only one they will be able to take for 10 years) and has a utility function U = V1/2 (where V is the number of healthy vacation days they experience). Suppose they are not a particularly healthy family and the probability that someone will have a vacation-ruining illness (V = 0) is 20%. What is the expected value of V?
Select one:
a. 10
b. 8
c. 2
d. 0
Answers
Answer: The expected value of V can be calculated as the sum of the products of the possible values of V and their corresponding probabilities. Let's consider the three possible scenarios:
V = 0 (with probability 0.2, as given in the problem)
V > 0 but V < 10 (with probability 0.8 * (9/10), because if nobody gets sick, they will have at least 1 healthy vacation day, and if they have 1 healthy day, they can still have 9 more days of vacation)
V = 10 (with probability 0.8 * (1/10), because if nobody gets sick, they can have all 10 days of vacation)
Using the utility function, we can see that the expected value of V is:
E[V] = 0 * 0.2 + (1/2) * (0.8 * 9/10) + 10 * (0.8 * 1/10)
E[V] = 0 + 0.36 + 0.8
E[V] = 1.16
Therefore, the expected value of V is 1.16. However, since V represents the number of healthy vacation days, it must be a non-negative integer. So, the closest integer to 1.16 is 1. Therefore, the answer is c. 2.
What the simplified radical form is
Answers
Answer:
3√7
Step-by-step explanation:
√63
√3x21
√3x3x7
3√7
Hope it help
assume laura earns $9 per hour. if she receives time and a half for any hours worked more than 40 per week, how much wi,l laura earn if she works 50 hours this week
Answers
Therefore, Laura will earn $495 if she works 50 hours this week, taking into account the time-and-a-half overtime pay for any hours worked beyond 40.
To calculate Laura's earnings for the week, we need to consider her regular pay rate and the overtime pay for any hours worked beyond 40.
Laura earns $9 per hour, so her regular pay rate is $9.
Let's calculate her earnings for the week:
Regular hours worked: 40 hours
Overtime hours worked: 50 hours - 40 hours = 10 hours
Regular pay for 40 hours = 40 hours * $9/hour = $360
Overtime pay for 10 hours = 10 hours * ($9/hour * 1.5) = $135
Total earnings for the week = Regular pay + Overtime pay = $360 + $135 = $495
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What is the slope? Help me please
Answers
Answer: Slope of 2.
Step-by-step explanation:
Start at where the line meets on the y-axis, -7. Then work your way upwards until you see the line align with a value of x, like (1,-5). Then you see a trend of it going up 2 units and over 1. 2/1 or 2 is your slope.
Both (E)- and (Z)-hex-3-ene can be treated with D2 in the presence of a platinum catalyst. How are the products from these two reactions related to each other?a. The (E)- and (Z)-isomers generate the same products but in differing amounts.b. The (E)- and (Z)-isomers generate the same products in exactly the same amounts.The products of the two isomers are related as constitutional isomers.The products of the two isomers are related as diastereomers.The products of the two isomers are related as enantiomers.
Answers
The products obtained from the reactions of (E)- and (Z)-hex-3-ene with D2 in the presence of a platinum catalyst are related as enantiomers.
Hence, the correct option is E.
Enantiomers are stereoisomers that are non-superimposable mirror images of each other. In this case, the (E)- and (Z)-isomers have different spatial arrangements around the C=C double bond. When they react with D2 in the presence of a platinum catalyst, the deuterium atoms add to the double bond, resulting in two new chiral centers.
Since the two isomers have different spatial arrangements around the double bond, the addition of deuterium atoms will produce enantiomeric products. Therefore, the products obtained from the reactions of (E)- and (Z)-hex-3-ene with D2 are related as enantiomers.
Hence, the correct option is E.
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the international nanny association reports that in a random sample of 528 in-home child care providers (nannies), 20 work for either a nationally known, a locally known, or an internationally known celebrity (2011 international nanny association salary and benefits survey). find a 95% confidence interval for the true proportion of all nannies who work for a celebrity.
Answers
The 95% confidence interval for the true proportion of all nannies who work for a celebrity is approximately 0.0145 to 0.0613.
The confidence interval:
In this case, we have a random sample of 528 in-home childcare providers (nannies) and we want to estimate the proportion of nannies who work for a celebrity.
To do this, we calculate the sample proportion (p-hat) by dividing the number of nannies working for a celebrity by the total sample size.
Here we have
Sample size (n) = 528
Number of nannies working for a celebrity (x) = 20
First, we calculate the sample proportion (p-hat), which is the proportion of nannies working for a celebrity in the sample:
=> p-hat = x / n = 20 / 528
Next, we calculate the standard error (SE) using the formula:
SE = √(p-hat × (1 - p-hat)) / n)
SE = √((20 / 528) × (1 - 20 / 528) / 528)
Now, we can calculate the margin of error (ME) using the critical value associated with a 95% confidence level.
Since we have a large sample size, we can use the z-value:
z-value for a 95% confidence level ≈ 1.96
ME = z-value × SE
Finally, we can calculate the confidence interval:
Confidence Interval = p-hat ± ME
Substituting the values:
Confidence Interval = [ 20 / 528) ± (1.96×√(20 / 528)×(1 - 20 / 528) / 528) ]
Simplifying:
Confidence Interval ≈ 0.0379 ± 0.0234
Therefore,
The 95% confidence interval for the true proportion of all nannies who work for a celebrity is approximately 0.0145 to 0.0613.
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Which is the graph of f(x) = x² + 4 and the function g, a reflection of f(x) across the x-axis?
Answers
The reflection of function f(x) across the x-axis is \(-x^{2} -4\).
It is given to us that the function is -
\(f(x)=x^{2} +4\) --- (1)
and a function g
We have to find out the reflection of f(x) across the x-axis.
A function can be defined as an expression that assigns the value of each element of a given set to the another specific element of another given set.
To find out the reflection of f(x) across the x-axis, we have to take -f(x) instead of f(x).
Now,
\(-f(x)=-(x^{2} +4)\\= > -f(x)=-x^{2} -4\)
Thus, the reflection of function f(x) across the x-axis is \(-x^{2} -4\).
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A box contains 7 black shirts, 9 blue shirts, 11 black pants, and 13 blue pants. Determine the probability of
randomly selecting a black piece of clothing or a pair of pants. Use PIA or B) = P(A) - P(B) - P(A and B) to
explain your answer.
Answers
The probability of randomly selecting a black piece of clothing or a pair of pants is 11/13.
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
n[A]=7 black skirts+9 blue skirts
n[B]=11black pants +13blue pants
now for probability of randomly selecting a blue piece of clothing or a pair of pants.
P(A and B) = P(A)+P(B)-P(A and B)=18/26 +14/26 - 10/26=22/26=11/13.
The probability of randomly selecting a black piece of clothing or a pair of pants is 11/13.
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HELP!
Find the Area of the triangle
Answers
Answer:
A ≈ 65.8 m²
Step-by-step explanation:
Given 2 sides and the angle between them then the area (A) is
A = \(\frac{1}{2}\) bc sinA
= 0.5 × 19.9 × 10.7 × sin38.17°
≈ 65.8 m² ( to 1 dec. place )
Need help with how to do a couple of them
Answers
Quarterly compounding: final amount = $39,729.77
Monthly compounding: final amount = $39,705.89
The difference is small, but quarterly compounding yields a slightly higher return.
How to solve1. Investing at 3% annual interest for 4 years, compounded semiannually is better.
The semiannual compounding results in more frequent interest payments, leading to higher returns compared to annual compounding.
2. Investing $35,000 at 4.2% annual interest for 3 years compounded quarterly is better.
Quarterly compounding: final amount = $39,729.77
Monthly compounding: final amount = $39,705.89
The difference is small, but quarterly compounding yields a slightly higher return.
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I insist its B, however D is the teachers answer. What is the answer.
Answers
Considering the roots of function f(x), the correct statement is given by:
D. f has exactly two zeros of [0,4].
What are the roots of a function?The roots of a function are the values of x for which f(x) = 0.
In this problem, we have that:
f(2) = 0, hence x = 2 is a root.f(3) < 0 and f(4) > 0, meaning that between x = 3 and x = 4, there is a root of a function, as to go from negative to positive, it has to pass through f(x) = 0.For values of x less than 2 on the interval, the function is never negative nor zero, hence there are no roots in that interval and option D is correct.
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In his box, Mark has 5 less $1 coins than three times the number of $2 coins. If the crate contains a total of $85, how many $1 coins does it have?
Answers
Answer:
49 $1 coins
Step-by-step explanation:
x is the number of $2 coins
2x + 1(3x - 5) = 85
5x - 5 = 85
5x = 90
x = 18
So there are 49 $1 coins
Find the perimeter in units of a polygon with the given vertices (4,-3),(7,10)(-8,2)
Answers
Answer:
take the length of each side, and multiply it by the number of sides I'm not sure why you have coordinates
Step-by-step explanation:
A recent personalized information sheet from your wireless phone carrier claims that the mean duration of all your phone calls was u = 2.4 minutes with a standard deviation of o = 1.8 minutes. Complete parts a through c below. a. Is the population distribution of the duration of your phone calls likely to be bell shaped, right-, or left-skewed? Since the distribution is
Answers
The population distribution of the duration of your phone calls is likely to be bell-shaped.
A bell-shaped distribution, also known as a normal distribution, is a symmetric distribution that is characterized by its mean and standard deviation. In this case, the mean of the duration of phone calls is 2.4 minutes and the standard deviation is 1.8 minutes.
Since the mean and standard deviation are both known, it is possible to determine the percentage of phone calls that fall within a certain range of durations using the properties of the normal distribution. This indicates that the distribution is likely to be bell-shaped.
The normal distribution is a common probability distribution that arises naturally in many situations, including measurements of physical quantities such as height, weight, and duration. It is characterized by its bell-shaped curve, which is symmetric around the mean.
The mean of the distribution is the point of highest probability, and the standard deviation determines the spread of the population distribution. In this case, the mean duration of phone calls is 2.4 minutes, which means that the most common duration of phone calls is around 2.4 minutes.
The standard deviation of 1.8 minutes indicates that the duration of phone calls is relatively spread out, with some calls lasting much longer or shorter than the mean. Overall, the bell-shaped normal distribution is a useful tool for understanding the variability in the duration of phone calls.
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Brand A gasoline was used in 16 similar automobiles under identical conditions. The corresponding sample of 16 values (miles per gallon) had mean 19.6 and standard deviation 0.4. High-power brand B gasoline was tested under identical conditions using another batch of 16 similar automobiles. The test results gave a sample of 16 values with mean 20.2 and standard deviation 0.6. Is the mpg of B significantly better than that of A? Test at 5% and assume normality.
Answers
There is evidence to support the claim that brand B gasoline yields a higher mean mpg than brand A gasoline under identical conditions.
Now, For test whether the mpg of brand B is significantly better than that of brand A, we can perform a two-sample t-test,
Here, assuming normality and using a significance level of 5%.
The null hypothesis states that there is no significant difference between the mean mpg of brand A and brand B, while the alternative hypothesis states that the mean mpg of brand B is significantly greater than that of brand A.
the t-value:
t = (xB - xA) / √(Sp/nB + Sp/nA)
where xB = 20.2, xA = 19.6,
Sp = ((nB - 1) sB + (nA - 1) sA) / (nA + nB - 2),
nB = nA = 16, and sB = 0.6, sA = 0.4.
Plugging in the values, we get:
Sp = ((16 - 1) 0.6 + (16 - 1) 0.4) / (16 + 16 - 2)
= 0.0804
Hence,
t = (20.2 - 19.6) / √√(0.0804/16 + 0.0804/16)
t = 3.64
The critical t-value for a two-tailed test with 30 degrees of freedom and a significance level of 5% is ±2.045.
Since the calculated t-value (3.64) is greater than the critical t-value, we can reject the null hypothesis and conclude that the mean mpg of brand B is significantly better than that of brand A.
Therefore, we can conclude that there is evidence to support the claim that brand B gasoline yields a higher mean mpg than brand A gasoline under identical conditions.
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segment C prime D prime has endpoints located at C′(5, 0) and D′(3, 0). It was dilated at a scale factor of 2 from center (3, 0).
Answers
Answer:
C(4, 0)
D(3, 0)
Step-by-step explanation:
The preimage points can be found by reversing the transformation caused by the dilation. The center of dilation is an invariant point.
ImageFor some dilation factor k working about some center O, the point P is transformed to point P' by ...
P' = O + k(P -O)
P' = kP -(k -1)O
Pre-imageThen the reverse transformation can be found by solving for P:
P' +(k -1)O = kP
P = (P' +(k -1)O)/k
For k=2 and O(3, 0), this becomes ...
(x, y) = ((x', y') +(2 -1)(3, 0))/2
(x, y) = (x' +3, y')/2
C = (5 +3, 0)/2 = (4, 0)
D = (3 +3, 0)/2 = (3, 0)
__
Additional comment
The center of dilation is invariant. It remains in place regardless of the dilation factor. Here, the center of dilation (3, 0) is the same as the image point D'(3, 0). Hence, the pre-image point D must be in the same location. The math above shows that is the case.
You will notice that C' is twice as far from the center of dilation as is C. This is because of the scale factor of 2.
Data were collected on the distance a baseball will travel when hit by a baseball bat at a certain speed. the speed, s, is measured in miles per hour, and distance, y, is measured in yards. the line of fit is given by Å· = 3.98 53.59s. if the ball travels for a duration of 5 seconds, what is the predicted distance of the ball? 267.95 feet 271.93 feet 283.87 feet 287.85 feet
Answers
By evaluating the linear equation in t = 5 seconds, we will see that the distance traveled is 271.93 feet.
What is the predicted distance of the ball?
Here we know that the line that defines the distance traveled by the ball (y) as a function of time (t) is:
y = 3.98 + 53.59*t
Now we want to predict the distance traveled y the ball if it travels for 5 seconds, so we just need to evaluate the above linear equation in t = 5.
So we will get:
y = 3.98 + 53.59*5 = 271.93
So we conclude that the distance traveled in that time is 271.93 feet.
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Answer: 271.93 feet
Step-by-step explanation:
I took the test
A 2-gallon bottle of fabric softener costs $20. 96. What is the price per quart?
Answers
The cost of per quarts bottle of fabric softener is $2.62.
In the given question, a 2-gallon bottle of fabric softener costs $20.96.
We have to find the price per quart.
The cost of 2-gallon bottle of fabric softener = $20.96
As we know that 1 gallons is equal to 4 quarts. That means,
1 gallons = 4 quarts
So 2 gallons = 4*2 quarts
2 gallons = 8 quarts
So, The cost of 8 quarts bottle of fabric softener = $20.96
We have to find the price per quarts. So,
The cost of 1 quarts bottle of fabric softener = $20.96/8
The cost of 1 quarts bottle of fabric softener = $2.62
Hence, the cost of per quarts bottle of fabric softener is $2.62.
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HELP PSLSPSLAPSLSPSLSPSLSPSLSPSL
Answers
If both lines match…
Every 60 minutes is an hour, so choose the number on the first line that corresponds to 60.
40 miles on the first line is on the same location as 60 on the second line
Answer: D) 40
Step-by-step explanation:
mph (miles per hour)
60 minutes is an hour, so the number of miles above 60 minutes (which is 40) is the answer.
Hope this helps!
Evaluate
2x2 + y2
3
for x = 1.5 and y = 3. Show all of your work.
Answers
Answer: look at the picture
Step-by-step explanation: Hope this help :D & mark me Brainliest plzz I really need it
Evaluate x + 23
when x=7
Answers
Answer:
30
Step-by-step explanation:
x + 23 = ?
x = 7
All we need to do is plug in x =7 to the first equation:
7 + 23 = ?
We simplify and get:
30 = ?
PLEASE help Mr. Tanaka needs to dig 24 holes to put up fence posts around his lawn. He has already dug 10 holes. Which equations can be used to find how many holes, h, Mr. Tanaka has left to dig?
24-h=10
10+h+24
h-24=10
24+10=h
h+10=24
Answers
Answer:
h + 10 = 24
Step-by-step explanation:
h = 24 - 10
h = 14
Answer:
h+10=24
Step-by-step explanation:
h+10=24
collect like trems
h= 24-10
subtract the numbers to find h
h=14
The area of a rectangle is 8811m if the width of the garden is 89 m what’s the length
Answers
The length of the garden is 99 m.
What’s the length?The formula for the area of a rectangle is:
Area = Length x Width
We are given that the area of the rectangle is 8811 \(m^{2}\) and the width is 89 m. Substituting these values into the formula, we get:
8811 \(m^{2}\) = Length x 89 m
To solve for the length, we can divide both sides of the equation by 89 m:
Length = 8811 \(m^{2}\) / 89 m
Simplifying, we get:
Length = 99 m
Therefore, the length of the garden is 99 m.
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an experiment is performed and the results indicate that caffeine has a significant positive effect on word processing accuracy. in this experiment, caffeine is the variable, whereas word processing accuracy is the ______ variable.
Answers
Caffeine in this experiment is the independent variable whereas word processing accuracy is the dependent variable.
What are independent and dependent variables?An indepent variable is the parameter in any experiment which can be manipulated by the experimenter. The dependent variable on the other hand is influnced by the changing independent variable, hence it is dependent on the independent variable.
In this particular experiment caffeine is the independent variable which can be changed by increasing or decreasing its level to see it's effect on the population. Word proccesing accuracy is the dependent variable which can be observed and measured depending upon the changing caffeine levels.
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Use the Order of operations to Order the steps
Answers
Answer:
1. Add 60 and 15
2. Cube 2
3. Divide 75 by 3
4. Multiply 2 by 4
5. Subtract 8 from 25
6. Add 17 and 8
Step-by-step explanation:
Hope this helps!
You have two pieces of rope. One piece is of rope is 98 feet and the other is 56 feet. You need to cut the rope into equal lengths with non left over. What is the greatest possible lenth you can cut the rope so all peices will be the same
Answers
Answer:
14 feet
Step-by-step explanation:
We solve the above question by using the Greatest Common Factor method
We find the factors of 56 and 98
The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
The factors of 98 are: 1, 2, 7, 14, 49, 98
Then the greatest common factor is 14.
Therefore, the greatest possible length you can cut the rope so all pieces will be the same is 14 feet
A 16-ounce bottle of Spring Water is $2.08. A 20-ounce
bottle of Fresh Water is $2.40. Which statement about
the unit prices is true?
Answers
Step-by-step explanation:
spring water is 2.08/16= 13 cents per ounce
fresh water is 2.40/20= 12.5 cents per ounce
fresh water is .5 cents per ounce less expensive
there are 24 chairs in 4 rows how many chairs are in one row
Answers
Answer:
6
Step-by-step explanation:
total number=24
number of row = 4
now,
number in one row=24/4
=6
A kicker recorded the number of field goals made (y) at different distances from the goal posts (x). Use the data to determine the regression equation to represent the relationship between the quantities. Round to the nearest hundredth.
Distance from Goal Posts (yards) Field Goals Made
20 9
25 6
30 7
35 4
40 1
45 2
50 1
y=___x+___
Answers
Answer:
ŷ = -0.27X + 13.79
Step-by-step explanation:
Given the data:
Distance from goal (X) :
20
25
30
35
40
45
50
Field goals made (Y) :
9
6
7
4
1
2
1
Using a linear regression calculator, the linear model obtained is :
ŷ = -0.27X + 13.79
The number of field goals, y decrease as distance from goal. Increases, this can also be observed in the value of the slope Coefficient (-0.27).
The required linear model obtained will be ŷ = -0.27X + 13.79
Linear regressionFrom the given information we have the following data:
Distance from goal (X) :
20
25
30
35
40
45
50
Field goals made (Y) :
9
6
7
4
1
2
From the given table, we can use the regression calculator to get the required equation.
Using a linear regression calculator, the required linear model obtained will be ŷ = -0.27X + 13.79
The number of field goals, y decrease as the distance from the goal increases. This can also be observed in the value of the slope Coefficient (-0.27).
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write an equation for a degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and has a y-int at 5..
Answers
The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
How to define the polynomial?The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.
The zeros of the function, along with their multiplicities, are given as follows:
Zero at x = 3 with a multiplicity of 1.Zero at x = 2 with a multiplicity of 2.Zero at x = -1 with a multiplicity of 3.Then the linear factors of the function are given as follows:
(x - 3).(x - 2)².(x + 1)³.The function is then defined as:
y = a(x - 3)(x - 2)²(x + 1)³.
In which a is the leading coefficient.
When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:
5 = -12a
a = -5/12
Hence the polynomial is:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
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