The perimeter of the rectangle below is 224 units. Find the length of side PQ.
Write your answer without variables.
A _________ is used to change one unit to another?
Answer:
conversion factor
Step-by-step explanation:
A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.
A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type II ovens. A sample of 61 type I ovens has a mean repair cost of $79.60, with a standard deviation of $23.47. A sample of 45 type II ovens has a mean repair cost of $75.25, with a standard deviation of $15.07. Conduct a hypothesis test of the technician's claim at the 0.05 level of significance. Let μ1 be the true mean repair cost for type I ovens and μ2 be the true mean repair cost for type II ovens.Step 3 of 4 : Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to three decimal places.
The question is missing some parts. Here is the complete question.
A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost in type II ovens. A samplle of 61 type I ovens has a mean repair cost of $79.60, with a standard deviation of $23.47. A sample of 45 type II ovens has a mean repair cost of $75.25, with standar deviation of $15.07. Conduct a hypothesis test of the technician's claim at the 0.05 level of significance. Let [tex]\mu_{1}[/tex] be the true mean repair cost for type I ovens and [tex]\mu_{2}[/tex] be the true mean repair cost for type II ovens.
Step 1 of 4: State null and alternative hypothesis for the test.
Step 2 of 4: Compute the value of test statistics. Round your answer to 2 decimal places.
Step 3 of 4: Determine the decision rule for rejecting the null hypothesis. Round the numerical portion of your answer to 3 decimal places.
Step 4 of 4: Make the decision for the hypothesis test. (Reject or fail to reject Null Hypothesis)
Answer and Step-by-step explanation:
First, state null and alternative hypothesis:
[tex]H_{0}: \mu_{1}=\mu_{2}[/tex]
[tex]H_{a}: \mu_{1}>\mu_{2}[/tex]
Use z-statistics:
[tex]z = \frac{x_{1}-x_{2}}{y}[/tex]
where x₁ and x₂ are the means and:
[tex]y=\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}} }[/tex]
Calculating value of test stattistic:
[tex]y=\sqrt{\frac{(23.47)^{2}}{61}+\frac{75.25^{2}}{45} }[/tex]
[tex]y = \sqrt{9.030+5.046}[/tex]
[tex]y = \sqrt{14.076}[/tex]
y = 3.752
[tex]z = \frac{79.6-75.25}{3.752}[/tex]
z = 1.16
The test statistics is z = 1.16
The decision rule for rejecting null hypothesis is: [tex]\alpha[/tex] ≤ test statistics
Using z-score table, it is possible to determine p-value, which is:
p-value = 0.877
Comparing p-value with level of significance (α = 0.05):
0.877 > 0.05
Therefore, we fail to reject the null hypothesis.
Which of the following relations are functions?
f={(1,2),(2,3),(3,5),(4,7)}
g={(1,3),(1,4),(2,5),(2,6),(3,7)}
h={(1,3),(2,6),(3,9),•••,(n,3n),•••}
A merchant mixed 10 lb of a cinnamon tea with 2 lb of spice tea. The 12-pound mixture cost $13. A second mixture included 16 lb of the cinnamon tea and 8 lb of the spice tea. The 24-pound mixture cost $28. Find the cost per pound of the cinnamon tea and of the spice tea.
Step-by-step explanation:
Let's say c is the price of cinnamon tea, and s is the price of spice tea.
10c + 2s = 13
16c + 8s = 28
Divide the second equation by 4:
4c + 2s = 7
Subtract from the first equation:
6c = 6
c = 1
Use any equation to find s.
s = 1.5
Therefore, the cinnamon tea costs $1 per pound and the spice tea costs $1.50 per pound.
-3(-18)-y=56
help >_
Answer:
y = -2
Step-by-step explanation:
Step 1: Define
-3x - y = 56
x = -18
Step 2: Substitute and solve for y
-3(-18) - y = 56
54 - y = 56
-y = 2
y = -2
Answer:
y=-2
Step-by-step explanation:
this is because if you multiply -3 by -18 you get 54 and 56-54 is 2 so -y is 2
A chain weighs 9 pounds per foot. How many ounces will 5 inches weigh? Round your answer to the
nearest tenth as needed.
Answer:
60 ounces.
Step-by-step explanation:
A chain weighs 9 pounds per foot.
We are to find the number of ounces 5 inches weigh.
First we find how many feet are in 5 inches.
1 foot = 12 inches
how many feet? = 5 inches.
Cross-multiplying gives;
[tex]\frac{5}{12} * 1 = \frac{5}{12}[/tex] feet
1 foot of the chain = 9 pounds
[tex]\frac{5}{12}[/tex] feet = how many pounds?
Cross-multiplying gives;
[tex]\frac{5}{12} * 9 = 3.75[/tex] pounds
1 pound = 16 ounces
3.75 pounds = how many ounces?
Cross-multiplying gives;
[tex]\frac{3.75 * 16}{1} = 60[/tex] ounces.
The number of ounces will 5 inches weigh is 66.667 oz.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A chain weighs 9 pounds per foot.
We know that
1 foot = 12 inches.
1 pound = 16 ounces.
Now based on this,
= 5 inches 1/12 x foot/ inches x 10 x pound/ feet x 16
= 5 x 10 x 16 / 12
= 66.667 oz.
Hence, the chain weight 66.6667 oz.
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An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he measured the amount of natural gas used y (in cubic feet) to heat the home and outside temperature x (in degree-days, where a day's degree-days are the number of degrees its average temperature falls below 65° F) over a 23-month period. He then computed the least-squares regression line for predicting y from x and found it to be ŷ = 84 + 18x. How much, on average, does gas used increase for each additional degree-day?
Answer:
18
Step-by-step explanation:
In the linear regression equation y=a+bx, slope coefficient b represents average unit increases in y variable due to unit increase in x variable.
In the given equation ŷ = 84 + 18x, b=18 represents average unit increases in gas used due to unit increase in degree day.
Hence,on average, gas used increase by 18 for each additional degree-day.
For each of the hypothetical data sets, determine whether a bar graph or a pie chart would be an appropriate way to display the
data. In some cases, both types of graphs may be appropriate.
pie chart
the percent of individuals with each of the following natural hair colors:
black, brown, blond, red, and other
bar graph
the land area of each of the approximately 50 countries in Europe
bar graph
the number of college students who play basketball, baseball, or soccer
pie chart
the number of K-12 schools that are public compared to the number of private and
charter schools
Answer:
See belowStep-by-step explanation:
Pie charts are best to display parts of a whole.Bar graphs are best to compare data.A. The percent of individuals with each of the following natural hair colors: black, brown, blond, red, and other
Pie chartB. The land area of each of the approximately 50 countries in Europe
Pie chart or Bar graphC. The number of college students who play basketball, baseball, or soccer
Bar graphD. The number of K-12 schools that are public compared to the number of private and charter schools
Bar graphThree family members clean the bathrooms, wash the dishes, and do the laundry. If the
3 family members split up the time equally, how much time does each person spend doing
chores?
Answer:
1/3
Step-by-step explanation:
its 1/3 for every chore soooo 1/3 then 2/3 then 3/3
Can someone help me plssssss ;w;
The magnitude of an earthquake depending on the energy it produces can be modeled using the equation M = 0.6666 log x – 3.2. Complete the sentences about the model.
The curve representing the relationship includes the point_______ .
The growth factor is________ .
An earthquake with an energy level of has a magnitude of ________ .
Answer: The curve representing the relationship includes the point (1, -3.2) .
The growth factor is 0.6666 .
An earthquake with an energy level 1 of has a magnitude of -3.2 .
Hello my Alpha.... bows down*
The curve representing the relationship includes the point (1, -3.2).
The growth factor is 0.6666. An earthquake with an energy level of has a magnitude of – 3.2.
It is given that the magnitude of an earthquake depending on the energy .it produces can be modeled using the equation M = 0.6666 log x – 3.2.
It is required to find growth factor, point and magnitude.
The curve representing the relationship includes the point_______ .The growth factor is________ .An earthquake with an energy level of has a magnitude of _______.The amount of energy released is represented as E and an earthquake release the magnitude represented by M which is given in the question. This magnitude is represented as equation using logarithm of the height of the wave that is the scale measured by seismograph.
Thus, The curve representing the relationship includes the point (1, -3.2).
The growth factor is 0.6666 .
An earthquake with an energy level of has a magnitude of – 3.2.
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If r objects are being selected from a group of n distinct objects and order does matter, then this arrangement is known as a
Answer:
Permutation
Step-by-step explanation:
The term to describe the given statement is permutation.
When defining permutation, certain keywords such as order does matter and arrangement are used to describe permutation.
Take for instance:
The arrangement of 3 boys on a seat
Ways 4 friends can sit to take photographs
...are examples of permutation
Permutation of r objects in n distinct objects is calculated as:
[tex]^nP_r = \frac{n!}{(n -r)!}[/tex]
A rectangle has an area of 48ft2 and a width of 6 ft. What it’s length??
Answer:
the length would be 8ft
hope i helped you
How do you simplify 8^3
Steps to solve:
8^3
~Simplify
8 * 8 * 8
~Multiply all
4,096
Best of Luck!
please answer or i fail
Answer:
42
Step-by-step explanation:
360 - ( 139 + 45+ 90+44)
Answer:
42 °
Step-by-step explanation:
complete angle = 360 ° . therefore sum of all angles around a single point is equal to 360 ° .
360° - 139° - 45° - 90° - 44° = x
x = 180 - 138 = 42 °
The value of x in the equation (12x − 36) = 5x + 18 is .
Answer:
[tex]x = \frac{54}{7} [/tex]Step-by-step explanation:
(12x − 36) = 5x + 18
First of all remove the parenthesis
That's
12x - 36 = 5x + 18
Next subtract 5x from both sides of the equation
We have
12x - 5x - 36 = 5x - 5x + 18
7x - 36 = 18
Add 36 to both sides of the equation
That's
7x + 36 - 36 = 18 + 36
7x = 54
Divide both sides by 7
[tex] \frac{7x}{7} = \frac{54}{7} [/tex]
We have the final answer as
[tex]x = \frac{54}{7} [/tex]
Hope this helps you
Answer: x=54/7
Step-by-step explanation:
To find the value of x, we need to use algebraic properties to isolate x.
12x-36=5x+18 [subtract both sides by 5x]
7x-36=18 [add both sides by 36]
7x=54 [divide both sides by 7]
x=54/7
Now, we know that x=54/7.
Translate this please
Answer:
x < 6
Step-by-step explanation:
x can be 6 but no higher
hope this helps
(7)/(9)-2n+(1)/(9) please helpppppp
Answer:
-2n + 8/9
Step-by-step explanation:
Try that tell me I it don't work
solving literal equations HELP!!b g=x-c, for x
Answer:
Step-by-step explanation:
Not sure
Answer:
x = g + c
Step-by-step explanation:
This is the answer because:
1) Solve for x by simplifying both sides of the equation, then isolating the variable.
Therefore, the answer is x = g + c
Hope this helps! :D
The tree in Juan's backyard is 7.7 m high. How high is it in centimeters?
Answer:
770 cm :)
Step-by-step explanation:
1m is 100cm so just multiply 7.7 by 100
The tree in Juan's backyard is 7.7 m high.
To Find:How high is it in cm.
Conversion:1 m = 100 cm
7 m = 7 × 100 = 700 cm
Solution:7.7 m = ( 700 + 70 ) cm = 770 cm
Answer:770 cm
Therefore, it is 770 cm high.
The sum of six number is 33. What is their mean?
Answer:
mean = 33/6 =5.5
Step-by-step explanation:
Mean = sum of numbers / the amount of numbers(like how many numbers are there)
Mean= 33/6
=5.5
So mean is 5.5
Please help!!!!!!!!!
Answer:
uhm wrong guestion
Step-by-step explanation :
sorry
Find the mean, median, and mode for the following scores: 8, 7, 5, 7, 0, 10, 2, 4, 11, 7, 8, 7
Answer:
mode is 7, mean, 6.3 repeating, median 7
Step-by-step explanation:
A standardized exam's scores are normally distributed. In a recent year, the mean test score was and the standard deviation was . The test scores of four students selected at random are , , , and . Find the z-scores that correspond to each value and determine whether any of the values are unusual.
Answer:
The following are the solution to this question:
Step-by-step explanation:
In the given question, some of the values are missing which is defined in the attached file please find it.
In this question, the data is used to represent a standardized exam's scores, which is normally spread out into the test score that is 1530 and its standard deviation 316.
Formula:
[tex]\to z=\frac{X- \mu}{\sigma } \\[/tex]
If the value of z-score= 1930
[tex]\to z =\frac{1930- 1530}{316 } \\\\ \to z =\frac{400}{316 } \\\\ \to z = 1.27[/tex]
The z-score is 1.27
If the value of z-score= 1250
[tex]\to z =\frac{1250- 1530}{316 } \\\\ \to z =\frac{-280}{316 } \\\\ \to z = -0.886[/tex]
The z-score is -0.886
If the value of z-score= 2250
[tex]\to z =\frac{2250- 1530}{316 } \\\\ \to z =\frac{720}{316 } \\\\ \to z = 2.27[/tex]
The z-score is = 2.27
If the value of z-score= 1420
[tex]\to z =\frac{1420- 1530}{316 } \\\\ \to z =\frac{-110}{316 } \\\\ \to z = -0.348[/tex]
The z-score is = -0.348
* For his phone service, Goran pays a monthly fee of $24, and he pays an additional $0.06 per minute of use. The least he has been charged in a month is $93.96
*What are the possible numbers of minutes he has used his phone in a month?
*Use m for the number of minutes, and solve your inequality for m.
Answer:
[tex]m \geq 1166[/tex]
Step-by-step explanation:
Given
[tex]Base\ Amount = \$24[/tex]
[tex]Charges = \$0.06[/tex] per minute
[tex]Least\ Monthly\ Charges = \$93.96[/tex]
Required
Determine the possible number of minutes
If for 1 minute, he's charged $0.06;
He'll be charged $0.06m for m minutes
Representing this as an inequality, we have:
[tex]Base\ Amount + m\ Charges \geq\ Least\ Monthly\ Charges[/tex]
[tex]24 + 0.06m \geq 93.96[/tex]
Solve for 0.06m
[tex]0.06m \geq 93.96 - 24[/tex]
[tex]0.06m \geq 69.96[/tex]
Solve for m
[tex]m \geq 69.96/0.06[/tex]
[tex]m \geq 1166[/tex]
This implies that, he's charged for at least 1166 minutes
Describe the relationship between the two quantities. Volume of a cylinder; Height & radius of cylinder’s base.
Answer:
V=πr^2h
Step-by-step explanation:
what is y over 3 (y/3) = 12
Answer:
so what i would like to do is what is 12 divid by 3 and when u get ur answer that it what the y is
Answer:
36
Step-by-step explanation:
y/3=12
y=3*12
y=36
Evaluate the difference quotient for the given function. Simplify your answer.
f(x) = 5 + 4x – x2,
f(3 + h) – f(3)
h
1-1-2h-h² x
Enhanced Feedback
Please try again. To evaluate f(a + h), replace x by (a + h) in the expression for f(x). Substitute this
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What steps or reasoning did you use? Your work counts towards your score.
substituting (3+h) into the equation by replacing (3+h) where there is a x value we can get the quotient. Then repla
Answer:
-2-h
Step-by-step explanation:
It doesn't hurt to follow directions.
[tex]q=\dfrac{f(3+h)-f(3)}{h}=\dfrac{(5 +4(3+h)-(3+h)^2)-(5 +4(3)-(3)^2)}{h}\\\\=\dfrac{5-5+4(3+h-3)-((3+h)^2-3^2)}{h}=\dfrac{4h-(6h+h^2)}{h}\\\\=\dfrac{-2h-h^2}{h}=\boxed{-2-h}[/tex]
__
Steps: substitute 3+h and 3 for x in the definition of f(x) and simplify the result.
Write the equation of the line fully simplified slope-intercept from.
Answer:
y = 4/3x - 7
Step-by-step explanation:
Divide. Reduce the answer to lowest terms. giveing brainlist
1/5 ÷ 3/4
Answer:
4/15
Step-by-step explanation:
1/5 * 4/3 = 4/15
Hope this helps and pls give me brainliest.
The solution is Option B.
The value of the equation 1/5 ÷ 3/4 is A = 4 / 15
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 1/5 ÷ 3/4 be equation (1)
On simplifying the equation , we get
A = 1/5 x 4/3
A = 4 / ( 5 x 3 )
The value of A = 4 / 15
Therefore , the value of A is 4/15
Hence , the equation is A = 4/15
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