Answer: 1. True 2. False
Step-by-step explanation: In question 1 they both equal 0.25 (5/20 and 7/28) but in question 2 they equal different values. 11/22=0.5 and 13/25 = 0.52.
Which arrangement shows 27/5, 5.36, 5 3/5, 33/6 in order from least to greatest?
Answer:
5.36 < 27/5 < 33/6 < 5 3/5 or 5.36, 27/5, 33/6, 5 3/5
Step-by-step explanation:
Three times a number minus 5 plus the same number
Answer:
15
Step-by-step explanation:
Select all the expressions that have a value of 180 when b=4
An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than allowed by environmental regulations. They measure water temperatures at the cooling system input and the cooling system output for several different days in several different seasons. A list containing these measurements is below:
Sample Input Temp (deg F) Output Temp (deg F)
1 57.6 65.1
2 68.9 74.4
3 68.1 74.7
4 47.7 55.4
5 48.1 51
6 67.2 71.9
7 69.9 79.2
8 48.1 57.2
9 35 41.4
10 56 61
11 44.3 50.8
12 65 70.5
13 48.3 56.9
14 54.9 61.7
15 60.4 67.3
Do a statistical analysis on this data to determine if the temperature change between the input and output of the cooling system is different than 6 degrees.
1. What does your analysis indicate?
a. The cooling system changes the temperature of the water by an amount different than 6 degrees.
b. The cooling system changes the temperature of the water by 6 degrees.
2. What is the P-Value associated with your decision above?
a. 0.001
b. 0.026
c. 0.049
d. 0.070
e. 0.110
f. 0.131
g. 0.148
h. 0.201
i. 0.278
j. 0.289
Answer:
1
The correct option is b
2
The correct option is h
Step-by-step explanation:
From the question we are told that
The sample size is n = 15
The difference in population proportion is [tex]d = 6[/tex]
Generally the sample mean of the input temperature is
[tex]\= x_1 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x_1 = \frac{57.6 + 68.9 + \cdots +60.4 }{15}[/tex]
=> [tex]\= x_1 = 62.57 [/tex]
Generally the sample mean of the output temperature is
[tex]\= x_2 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x_2 = \frac{65.1 + 74.4 + \cdots +67.3 }{15}[/tex]
=> [tex]\= x_2 = 55.97 [/tex]
Generally the difference of the sample mean of the input temperature and that of the output temperature is
[tex]\= d = \= x_1 - \= x_2[/tex]
=> [tex]\= d = 62.57 -55.97[/tex]
=> [tex]\= d = 6.6[/tex]
Generally the standard deviation is mathematically represented as
[tex]s_d = \sqrt{\frac{\sum(d_1 - \= d )^2}{n} }[/tex]
=> [tex]s_d = \sqrt{\frac{([57.6- 65.1]- 6.6)^2+ ([68.9 - 74.4]- 6.6)^2 + \cdots + ([60.4 - 67.3]- 6.6)^2 }{15} }[/tex]
=> [tex]s_d = 1.732 [/tex
Generally the test statistics is mathematically represented as
[tex]t = \frac{ d - \= d }{ \frac{s_d}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 6-6.6 }{ \frac{1.732}{\sqrt{15} } }[/tex]
=> [tex]t = 1.3417[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 15 - 1[/tex]
=> [tex]df = 14[/tex]
Generally the probability of t obtained from the t - distribution table at a degree of freedom of [tex]df = 14[/tex] is
[tex]P(t >1.3417 ) = 0.10052569[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(t > 1.3417)[/tex]
=> [tex]p-value = 2 * 0.10052569[/tex]
=> [tex]p-value = 0.201 [/tex]
From the values obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The cooling system changes the temperature of the water by 6 degrees.
Suppose you have information about average heights of a random sample of airline passengers. The mode is 65 inches, the median is 72 inches, and the mean is 70 inches. To convert the data into centimeters, multiply each data value by 2.54. What are the values of the mode, median, and mean in centimeters?
Answer: mode = 165.10 cm, median = 182.88 cm, mean = 177.80 cm
Step-by-step explanation:
mode = 65*2.54 = 165.10 cm
median = 72*2.54 = 182.88 cm
mean = 70*2.54 = 177.80 cm
The values in cm are:
Mode = 162.56 cm
Median = 182.88 cm
Mean = 177.8 cm
Given,
The mode is 65 inches, the median is 72 inches, and the mean is 70 inches.
We need to convert the data into centimeters by multiplying each data value by 2.54 and find the values of the mode, median, and mean in centimeters.
How many cm in one inch?There is 2.54 cm in one inch.
Example:
If we want to find cm in 4 inches.
We just multiply 4 with 2.54 cm.
2.54 cm = 1 inch
4 x 2.54 cm = 4 x 1 inch
10.16 cm = 4 inches
We have,
We know that,
1 inch = 2.54 cm
Mode = 65 inches
1 inch = 2.54 cm
64 inches = 64 x 2.54 cm = 162.56 cm
Median = 72 inches
72 inches = 72 x 2.54 cm = 182.88 cm
Mean = 70 inches
70 inches = 70 x 2.54 cm = 177.8 cm
Thus the values in cm are:
Mode = 162.56 cm
Median = 182.88 cm
Mean = 177.8 cm
Learn more about the conversion of inches to cm here:
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AME: Carmen estimates that she will spend $250 on new summer clothes. She actually spent $350. What is the percent error? Round to the nearest whole percent.
Answer:
71 %
Step-by-step explanation:
250/350 = 0.714285
71.4285 move decimal 2 places to the right
71 % rounded to whole percent
which inequality statement describes the two numbers on a number line -7 and a number 12 units to the right of -7
Answer:2
Step-by-step explanation:
x/2.4+39=239
show work
Answer: x = 480
Steps: x/2.4 + 39 = 239
Subtract 39 from both sides: x/2.4 + 39 - 39 = 239 - 39
Simplify: x/2.4 = 200
Multiply both sides by 2.4: x/2.4 × 2.4 = 200 × 2.4
Simplify: x = 480
Plz mark brainliest:)
If you do this question I will give you brainlest I know the right Awnser just want to test you help me out and I’ll give you brainlest and points
3% Although I'm probably wrong.
Answer:
13 - 10 = 33 & 13The proportion, x = 23.Step-by-step explanation:
13 (i.e 100%) - 10 (i.e 77%) = 3 (i.e 23%)difference is 3 & original amount is 13The proportion, x = 23%A fruit salad recipe calls for 3/4 pound of apples and 2/5 pound of dates. What is the least common denominator of the fractions?
(1 Point)
Answer:
20
Step-by-step explanation:
because 4x5 equals 20
Leti has just received a $15.00 gift card to Late, Late, Coffee for her birthday. Leti buys a small coffee each day. The total cost of the coffee is $1.50 including tax. The relationship between the coffee that Leti buys and the gift card can be modeled by a linear function y=15-1.50x. What is the initial value and what does it represent in the context of this problem?
Answer:
the initial value is 15 and it represents the y-intersect in the context of this problem
Step-by-step explanation:
Three times a number increased by one is between negative eight and seven find all the numbers.
All the numbers that makes the statement true are given by?
Please hurry this is on my exam
This is about absolute value inequalities.
The set of possible values of x that make the statement true are; x = {-2, -1, 0, 1}
Let the number in the question be x.We are told that when it is multiplied by 3 and 1 added to it, it is between - 8 and 7. This means it is greater than -8 but less than 7.
Thus;
3x + 1 > -8 - - - (eq 1)
3x + 1 < 7 - - - (eq 2)
Let's find range of x from eq 1;3x + 1 > -8
Subtract 1 from both sides to get;
3x > -9
x > -9/3
x > -3
Similarly, let's find the range of x from eq 2;3x + 1 < 7
Subtract 1 from both sides to get;
3x < 7 - 1
3x < 6
x < 6/3
x < 2
Thus, we can write that;
-3 < x < 2
Thus, the set of possible values of x are; x = {-2, -1, 0, 1}
Read more at; brainly.com/question/18119747
Please help as soon as possible
Answer:
a. When you have two parallel lines cut by a transversal, angles 4 and 6 become same side interior angles, meaning they add to 180 degrees. Alex's mistake is that he thought angles 4 and 6 were corresponding angles, which are equal to each other (corresponding angles would be like angles 2 and 6. they are in the same place in relation to the transversal and the parallel lines. if you moved line l down, angle 2 would be on the same spot as angle 6, so they are corresponding angles).
b. angles 4 = 140 degrees
Step-by-step explanation:
a. Alex thought that angles 6 and 4 were corresponding angles, however, they are same side interior angles. Because two parallel lines are cut by a transversal, we can conclude that angles 4 and 6 are same side interior angles.
Same side interior angles are angles that add to 180, so you would do 180-40 to get angle 4. the measure of angle 4 would be 140 degrees (the answer to b).
Cost of bowling if it is $3 per game and $5 for shoes. Find the linear equation.
Answer:
y=3x+5
Step-by-step explanation:
Depending on how many games he has played that number where the x is. So let’s say he plays two games so what you’re going to do is plug the two in for the X so then it would be 2×3 which is 6 then you would do 6+5 because you still have the 5 left and it says to add.
That should be right and follow me if this helps.
Evaluate:
-77 + (-46)
-77 + (-46 )
- 77 - 46 (+ × - = - )
-123
Answer:
-123
Step-by-step explanation:
This is the answer because:
1) First, multiply the negative sign with the positive sign.
Negative x Positive = Negative
Equation: -77 - 46
2) Now, multiply the negative sign with the negative sign.
Negative x Negative = Positive
Equation: 77 + 46 = 123
3) Finally, add the greater number's sign (-77) in front of the number.
-123
Hope this helps! :D
-17 + 20 + (-3)
SOMEBODY HELP ME PLS ASAP
Answer:
0
Step-by-step explanation:
In Exercises 17–20, describe how to transform the graph of
f into the graph of g
Answer:
f(x) → -f(x)
Step-by-step explanation:
Which of the following describes the location of the opposite of the number that R represents on this line?
vertical number line from negative 6 to positive 6 in increments of 2 is shown. Only the whole even numbers are labeled. A point labeled R is placed onthe 6th tick mark below the 0.
At a distance of 6 tick marks below 0
At a distance of 6 tick marks above 0
At a distance of 12 tick marks below 0
At a distance of 12 tick marks above 0
PLEASE HELP I REALLY NEED IT
Answer:
B
Step-by-step explanation
Answer:
A
Step-by-step explanation:
Because on the number line it has the point 6 spots below the zero so it has to be A: At a distance 6 tick marks below 0
estimate the product choose the method 27 * 42
Answer:
About 1200
Step-by-step explanation:
I would round them to the nearest 10 so 27 would become 30 and 42 would be 40.
Then you would multiply to get the answer of about 1200.
Hope that helps and have a great day!
6/7x - 8 = 7
i need to solve for the missing variable
Answer:
the answer would be 17.500
Answer:
x = 35/2
Step-by-step explanation:
add: (6/7)x = 8 + 7
(6/7)x = 15
multiply by the reciprocal
x = 15(7/6)
Simplify
x = 5(7/2)
multiply:
x = 35/2
Check:
(6/7)(35/2) -8 = 7
15 -8 = 7
2. Given the linear equation 2x + 3y = 9.
a.
Write the equation in the form y = mx + b.
Answer:
y = -2/3x + 3
Step-by-step explanation:
3y = -2x + 9
y = (-2x + 9)/3
y = -2/3x + 3
Solve for
-1/7x = -2
Answer: I hope this is correct -9
Step-by-step explanation: This is right
will made his mini pecan tarts for the southern themed school party he bought 20 pounds (320 ounces) of pecans for $78.40 he put 2 ounces of pecans in each pecan tart he made what was the cost of the pecans in each mini pecan tart
Answer:0.49$
Step-by-step explanation:
so now lets take a look. 320/2=160. 7840/160=49, so one pecan is 49 cents, or 0.49$
The function y=30x represents the distance in miles, y, a car travels after x hours.
Answer:
first option
Step-by-step explanation:
Answer:
A. The total distance the car travels in miles between hours 3 and 7.
Step-by-step explanation:
I took the test!
12÷ 1/5 how to solve this problem
Answer: 60
Step-by-step explanation:
A 12-ounce sports drink costs 0.96 and a 16-ounce sports drink costs $1.12. Which size is the best
buy? How much cheaper is it? Ratios
Answer:
It is better to buy the 16-ounce drink and it is 0.01 cent cheaper
Step-by-step explanation:
We have to find out how much each sports drinks cost per ounce.
0.96 ÷ 12 = 0.08 per ounce
1.12 ÷ 16 = 0.07 per ounce
It is better to buy the 16-ounce drink and it is 0.01 cent cheaper
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
What is the correct decimal point placement for the product of 3.54 × 15.42? 54.5868 545.868 5458.68 54586.8
9514 1404 393
Answer:
54.5868
Step-by-step explanation:
The multiplicands each have 2 digits to the right of the decimal point, so the product will have 2+2 = 4 digits to the right of the decimal point. The correct placement is ...
54.5868
__
Another way to tell is that the product is in the neighborhood of 3·15 = 45, which is nowhere near 545 or 5458 or any higher value.
Answer: 54.5868
Since 3 x 15 is already 45, now we have to multiply the decimals, but we must put a point.
.54 x .42 = 9.5868
45 + 9.5868 = 54.5868.
Hope this helps!
Fill in a negative integer to make the statement true
Answer:
-2
Step-by-step explanation:
-2 or negative 1 will work , they're both more
Answer:
-2 or -1
because those are both greater than -3
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Answer:
same
Step-by-step explanation:
When you were playing the integer game the first two cards that were selected were -8 and -10. What is the value in your hand?
Write an equation to justify your answer
what is the distance of the sum from -8
Answer:
The value in your hand is -18
let the value be x, then the equation is:
x = -8 + (-10)
x = - 8 - 10
x = - 10
the distance of the sum from -8 is the distance between -8 & -10, i.e -8 - (-10) = 2.