Answers:
The Weighted Average = 5.35
Explanation:
The weighted average is given by:
W(avg) = v1*w1 + v2*w2 + v3*w3
v1.v2.v3 are the values
w1,w2,w3 are the weights
W(avg) = 5.00*0.75 + 6.00*0.15 + 7.00*0.10
W(avg) = 3.75+0.9+0.7
W(avg) = 5.35
Hence, the weighted average is equals to 5.35
g Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339. z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction If the sample mean is $31,650, what is the z-score
Answer:
69
Step-by-step explanation:
Answer:
Z score=2.46.
Step-by-step explanation:
The Z score for sample mean $31,650 can be computed by using following formula
[tex]Z=\frac{xbar-Population mean}{\frac{sigma}{\sqrt{n} } }[/tex]
Here, sample mean=xbar=31650
population standard deviation=sigma=3339
population mean=29056
and sample size=n=10.
[tex]Z=\frac{31650-29056}{\frac{3339}{\sqrt{10} } }[/tex]
[tex]Z=\frac{2594}{1055.885}[/tex]
Z=2.4567
Z=2.46 (rounded to two decimal places).
Hence the resultant z-score is 2.46.
what is the slope of the line ?
Answer:
The slope is -1.
Answer:
-1
Step-by-step explanation:
To solve follow the formula Y1-Y2 over X1-X2, pick two points like (0,2) and (1,1) then plug them in.
2-1 over 0-1 which equals -1/1
ezekiel has $250 in his bank account he deposts $35 from his birthday and then buys clothes for school for $75
Answer:
$140
Step-by-step explanation:
i assume ur asking for how much is left over
250-35= 215
215-75= 140
$140 left
Please help. Look at the picture
Answer:
QR = 16
Step-by-step explanation:
Because PML ~ TRQ
So PM / TR = ML / RQ
35 / 14 = (7x-9) / (2x+2) = 5/2
2(7x-9) = 5(2x+2)
14x-18 = 10x + 10
4x = 28
x= 7
=> QR = 2(7) + 2=16
if the population there increased by 15,183 people every week how many more people would be in Mexico city everyday?
Answer:
The answer is 2169
Step-by-step explanation:
You would do 15,183 x 7 because there are seven days in a week.
6. What is the density of water?
Answer:
997 kg/m³
Step-by-step explanation:
I just looked it up, hopefully it's the right answer
The tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds. If 50,000 parts are produced, how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength? How many would have a tensile strength in excess of 48 pounds?
Answer:
a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?
7933 parts
b) How many would have a tensile strength in excess of 48 pounds?
2739.95 parts
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?
z = (x-μ)/σ
x = 35 μ = 40 , σ = 5
z = 35 - 40/5
= -5/-5
= -1
Determining the Probability value from Z-Table:
P(x<35) = 0.15866
Converting to percentage = 15.866%
We are asked how many will fail to meet this specification
We have 50,000 parts
Hence,
15.866% of 50,000 parts will fail to meet the specification
= 15.866% of 50,000
= 7933 parts
Therefore, 7933 parts will fail to meet the specifications.
b) How many would have a tensile strength in excess of 48 pounds?
z = (x-μ)/σ
x = 48 μ = 40 , σ = 5
z = 48 - 40/5
z = 8/5
z = 1.6
P-value from Z-Table:
P(x<48) = 0.9452
P(x>48) = 1 - P(x<48)
1 - 0.9452
= 0.054799
Converting to percentage
= 5.4799%
Therefore, 5.4799% will have an excess of (or will be greater than) 48 pounds
We are asked, how many would have a tensile strength in excess of 48 pounds?
This would be 5.4799% of 50,000 parts
= 5.4799% × 50,000
= 2739.95
Therefore, 2739.95 parts will have a tensile strength excess of 48 pounds
On Friday, the temperature was 82°F. The temperature changed by –2°F on Saturday, and then it changed by 5°F on Sunday. What was the temperature on Sunday? How did the temperature change? This is an easy question but a little bit harder to work out! This was a question on a recent quiz I had and I wanted to see if you guys could figure it out?!
Answer:
85 F
Step-by-step explanation: Subtract and add the increase and decrease along each day.
Friday: 82 F
Saturday: 80 F
Sunday: 85 F
Decide whether or not the matrices are inverses of each other.
[6 - 5]
[ -3 5 ] and [1/3 1/3 ]
[ 1/5 2/5]
A) No B) Yes
Answer:
Yes, the matrices are inverses of each other.
Step-by-step explanation:
Kindly check attached picture for the organized question and answer
solve for x). -1/3x < -6 . Enter the solution to the inequality
Answer
x≥18
Step-by-step explanation:
3) Find the total cost of a $14.50 movie with a 30% markup.
Answer:
18.85
Step-by-step explanation:
68% if the School of the Art Institute of Chicago's 3221 students are
female. How many of the students are women? *
Answer:1933
Step-by-step explanation:
graph y minus 3 equal one half (x+2)
Un comerciante compró 6 camionetas por $2310000. si quiere obtener una ganancia total de $577500 ¿en cuanto debe vender cada camión?
1.5 es la respuesta!!!!!!!!!
Use a graphing utility to graph the equation. Use a standard setting. y = x2 − 5x + 6
Find a ratio that is equivalent to 9 to 15
The required equivalent ratio of the given ratio is 3/5.
Given that,
The ratio that is equivalent to 9 to 15 is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Mentioned ration,
= 9 / 15
Reducing the expression by eliminating the common factors
= 3 / 5
Thus, the required equivalent ratio of the given ratio is 3/5.
Learn more about ratios here:
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Angle RST below is a right angle. What is the measure, in degrees, of
Answer:
RSM = 56.4
Step-by-step explanation:
RSM + MST = RST
RSM + 33.6= 90
Subtract 33.6 from each side
RSM + 33.6 - 33.6= 90-33.6
RSM= 90-33.6
RSM = 56.4
RST is a right angle, and right angles are 90 degrees
RST = 90 degrees
MST = 33.6 degrees
RSM = ?
The angles MST and RSM add up to 90 degrees
90 = 33.6 + RSM
Subtract 33.6 from both sides
56.4 degrees = RSM
Felisha has 34 nickels 26 dimes 21 quarters and 13 fifty cent prices. How much money does she have?
Four relatives are going to give you money for your birthday. The amount each relative gives you is equally likely to be any number between $0 and $200. The chance that the total amount of money you receive is at most $300 is
A self-serve car wash charges $5.20 to use its facilities, plus an additional $0.66 for each minute the customer is at the self-serve car wash. If Tiffany was at the car wash for 9 minutes, how much was she charged?
A.$11.14
B.$14.20
C.$5.94
D.$5.86
The required amount charged to Tiffany for 9 minutes of the car wash is $11.14. Option A is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The additional charge for the time Tiffany was at the car wash was $0.66 per minute, so the total charge for 9 minutes would be
= $0.66 * 9
= $5.94.
Adding this to the original charge of $5.20 gives a total charge,
= $5.20 + $5.94
= $11.14.
Therefore, Tiffany was charged A) $11.14.
Learn more about simplification here:
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Please please help me on that.
Explain how to find the LCM of 8 and 10
Answer: Start by listing the first five multiples of each number. Then circle the common multiples. Finally, identify the least of these common multiples. The LCM of 8 and 10 is 40.
Step-by-step explanation:
Answer:
Start by listing the first five multiples of each number. Then circle the common multiples
Step-by-step explanation:
There were 40 students who auditioned for the school play, 3/4 of them were called back for a second audition. How many students were called back for another audition?
Answer:
30 students
Step-by-step explanation:
Number of students called back for second audition
[tex] = \frac{3}{4} \times 40 \\ \\ = 3 \times 10 \\ = 30[/tex]
Answer:
30 students were called back for audition
Step-by-step explanation:
every 1/4=10 student so 3/4 will be 30 students altogether
Matthew is preheating his oven before using it to bake. The initial temperature of the oven is 65° and the temperature will increase at a rate of 15° per minute after being turned on. What is the temperature of the oven 17 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?
Determine the unit rate then determine which is a better buy.
Option A: A 4 pack of 3.2-ounce servings of applesauce for $2.50 or Option B: 24 ounces of applesauce for $3.69
Answer:
Option B
Step-by-step explanation:
For option A:
4 pack of 3.2-ounce servings of applesauce cost $2.50. This implies that 4 × 3.2 ounce = 12.8 ounce servings of applesauce cost $2.50. Hence:
The unit rate = $2.50 / 12.8 ounce = $0.1953 per ounce
For option B:
24-ounce servings of applesauce cost $3.69. Hence:
The unit rate = $3.69 / 24 ounce = $0.15375 per ounce
From the unit rates of option A and option B, option B has a lesser unit rate, hence option B is a better buy.
marcus wants to buy candy. He has 5$. Each candy bar cost 75 cents. how many candy bars can he buy? define the variable you would use to solve the problem.
Answer:
5*75
Step-by-step explanation:
Answer:6
Step-by-step explanation:
If you divide 5.00 by 0.75 and you'll get 6.6666666667 and it says how many candy bars so it will be 6 because the other point and lower stuff isn't a whole candy bar
Find (a) the number of subsets and (b) the number of proper subsets of the set.
The set of days of the week.
(a) The number of subsets is
(b) The number of proper subsets is
Answer:
(a) Total No. of Subsets = 128
(b) Total No. of Proper Subsets = 127
Step-by-step explanation:
First we need to define the set of days of the week.
Set of Days of Week = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}
It is evident from the set of days of the week, that it contains 7 elements.
(a)
The total no. of subsets of a given set is given by the following formula:
Total No. of Subsets = 2^n
where,
n = no. of elements of the set = 7
Therefore,
Total No. of Subsets = 2^n
Total No. of Subsets = 2^7
Total No. of Subsets = 128
(b)
The total no. of proper subsets of a given set is given by the following formula:
Total No. of Proper Subsets = (2^n) - 1
where,
n = no. of elements of the set = 7
Therefore,
Total No. of Proper Subsets = (2^n) - 1
Total No. of Proper Subsets = (2^7) - 1 = 128 - 1
Total No. of Proper Subsets = 127
The total number of subsets is 128 and the total number of proper subsets is 127 and this can be determined by using the given data.
Given :
The set of days of the week.
The following steps can be used in order to determine the number of subsets and the number of proper subsets:
Step 1 - According to the given data, the set is given below:
S = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}
Step 2 - Now, the total number of subsets is given by the formula [tex]2^n[/tex] where 'n' is the number of elements of the set.
[tex]{\rm Total\;Subsets} = 2^7\\{\rm Total\;Subsets} = 128[/tex]
Step 3 - Now, the total number of proper subsets is given by the formula [tex](2^n-1)[/tex] where 'n' is the number of elements of the set.
[tex]{\rm Total\; Proper\; Subsets}=2^7-1\\{\rm Total\; Proper\; Subsets}=127[/tex]
a) The total number of subsets is 128.
b) The total number of proper subsets is 127.
For more information, refer to the link given below:
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The circumstance of a circle is 36pi inches what is the radius for this circle
Circumference = 2pi*r
r = radius
In our problem,
circumference = 36pi
r = ?
Let's plug our values into the formula above.
36pi = 2pi * r
Divide both sides by 2pi
18 = r
write a number in which the value of the 8 is ten times greater than the value of the 8 in 8,304. I think it's 80,304. However, the 3 people who gave answers on this app gave 3 others answers, all different. How can I be sure which is correct?
Answer: 80,304
Step-by-step explanation:
You are correct because in 8,304, the 8 is 8,000, and in 80,304, the 8 is 80,000.
8,000 x 10 = 80,000 so there you go. Also, the answer can be any 5 digit number with 8 as the ten thousands place(examples. 89,192, 83,026, 80,000)
Coffee is a leading export from several developing countries. When coffee prices are high, farmers often clear forest to plant more coffee trees. Here are data on prices paid to coffee growers in Indonesia and the rate of deforestation in a national park that lies in a coffee-producing region for five years. Price (cents per pound) Deforestation (percent) 25 0.31 49 1.69 60 1.66 55 1.7 68 3.31 (a) Make a scatterplot. (Do this on paper. Your instructor may ask you to turn this in.) Which is the explanatory variable? What kind of pattern does your plot show? Price is the explanatory variable. The plot shows a negative linear association. Price is the explanatory variable. The plot shows a positive linear association. Price is the explanatory variable. The plot shows no linear association. Deforestation is the explanatory variable. The plot shows a positive linear association.
Answer:
The plot shows a positive linear association. Price is the explanatory variable.
*See attachment for the scatterplot of the data
Step-by-step explanation:
The rate of deforestation is dependent on the price of coffee. Therefore, the explanatory variable is the price of coffee, which affects rate of deforestation.
The response variable is the rate of deforestation. The rate of deforestation is influenced by the price of coffee.
When plotting a scatter plot, the values for the explanatory variable are plotted on the x-axis, while the response variables are plotted on the y-axis.
The data given below is what we would use in plotting the scatterplot shown in the attachment:
Explanatory variable, X, (Price, cents per pound) => Response variable, Y, (deforestation, %)
25 => 0.31
49 = > 1.69
60 => 1.66
55 => 1.7
68 => 3.31
The scatterplot graphed as shown in the attachment shows a positive linear relationship between price of coffee and rate of deforestation. As price increases, rate of deforestation also increases.