Step-by-step explanation:
3x + y = 9
3x − 5y = 15
Solve with elimination. Subtract the second equation from the first.
6y = -6
y = -1
Plug into either equation to find x.
3x + -1 = 9
3x = 10
x = 10/3
Help. Your backyard is 10 feet longer than it is wide. Its area is 8624 square feet. Its width is Solve in quadratic equation.
Would you say 88in by 98in is correct?
A line passes through (0, 2) and has a slope of 3. Which function's graph is parallel to this line?
A. f(x) = 2 O
B. f(x) = 3 O
C. f(x) = 2x O
D. f(x) = 3x o TUL earch
ANSWER IS B 30
Step-by-step explanation:
The function's graph is parallel to this line is 3x.
What is equation of a straight line ?The general equation of a straight line is y = mx + c, where m is the gradient or slope, and y = c is the value where the line cuts the y-axis. This number c is called as intercept.
From the question,
Parallel lines have same slope.
The slope given, m =3.
The function's graph is parallel to this line is 3x.
Hence the required answer is f(x)= 3x.
To learn more on equation of straight line click:
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The Lions won 35 out of 40 games this season. What fraction of the games did the Lions win?Write your answer in simplest form.___________________________________
Answer:
7/8
Step-by-step explanation:
Answer:
7/8
Step-by-step explanation:
Divide common factors from both the numerator and denominator. Divide 5 from both top and bottom:
(35/40)/(5/5) = 7/8
7/8 is your answer.
~
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
State the domain and range in set notation
Answer:
Image result for State the domain and range in set notation
The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values).
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
The last option is not complete, but since the first three options are incorrect, the last option is correct
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.
Suppose 7 quarters, 4 dimes, 4 nickels, and 3 pennies are in a box. One coin is selected at random. What is the expected value of the money drawn from the box?
Since the quarters have a highest percentage. You would likely draw 25 cents from the box
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]
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 graph* 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
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
4 kitchen assistants can prepare 10kg of vegetables in 45 minutes. How long would it take 25 assistants to prepare
a gallon of paint can cover about 350 square feet of wall space. You have measured a wall to be 210 inches by 120 inches. Will one gallon of paint be enough to cover the wall?
1 foot = 12 inches.
210/12 = 17.5 feet
120/12 = 10 feet
17.5 x 10 = 175 square feet
175 is less than 350 so yes one gallon will be enough.
Answer: yes
Step-by-step explanation: because it is only 175 ft of wall
PLEASE HELP IF YOU KNOW
Your answer is going to be A
Step-by-step explanation:
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:
12 x 3 x 8 + 3 + 1 - 100 x 2323
Answer:
-232008
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
12 x 3 x 8 + 3 + 1 - 100 x 2323
Step 2: Multiply
36 x 8 + 3 + 1 - 100 x 2323
Step 3: Multiply
288 + 3 + 1 - 100 x 2323
Step 4: Multiply
288 + 3 + 1 - 232300
Step 5: Add
291 + 1 - 232300
Step 6: Add
292 - 232300
Step 7: Subtract
-232008
Answer
-232,008 is ans of this simplification
Is x a natural number
Answer:
no because natural numbers are positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well. not variables
What is the degree of the polynomial
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.
Can you solve (x-2)(x+3)=5 by solving x-2=5 and x+3=5? Explain
Will MARK BRAINLIEST
Answer:
Yes you can.
Step-by-step explanation:
You can because you can just subsitute x-2=5 and x+3=5 into the equation.
Answer:
x=3±/5
Step-by-step explanation:
i don't actually know how to do certain symbols sorry but i hope you know what this means
OPEN ENDED QUESTION
Rewrite the following problem using
commutative property of addition: -3 + 7
Answer:
4
Step-by-step explanation:
7+-3=4
Answer:
4
Step-by-step explanation:
Step 1:
7 + ( -3)
Step 2:
7 - 3
Answer:
4
Hope This Helps :)
If you get this you are a critical thinker. I enter the garden. There are 34 people. You kill 30. How many people are in the garden. Good luck! If you get it correct your answer will be deleted and l will message you to continue the game.
Answer:
35
Step-by-step explanation:
34+ you = 35
After killing still people are inside room.
(7)/(9)-2n+(1)/(9) please helpppppp
Answer:
-2n + 8/9
Step-by-step explanation:
Try that tell me I it don't work
work out the difference in minutes between 1 hour 25 minutes and 1 1/4 hours step by step please :)
[tex]\huge\boxed{\boxed{\bold{10\ \bftext{minutes}}}}[/tex]
[tex]\hrulefill[/tex]
First, let's change both of these times into just minutes. (We know that one hour is sixty minutes.)
[tex]\text{First time: } 1*60+25=60+25=85[/tex]
[tex]\text{Second time: } 1*60+\frac{1}{4}*60=60+15=75[/tex]
Now, just subtract:
[tex]85-75=\large\boxed{10}[/tex]
State the horizontal asymptote of the rational function.
f(x) = quantity x plus nine divided by quantity x squared plus four x plus two
Answer:
there is no meme
Step-by-step explanation:
How do you simplify 8^3
Steps to solve:
8^3
~Simplify
8 * 8 * 8
~Multiply all
4,096
Best of Luck!
How many days equal 7344 minutes?
The answer is 5.1 days
60*24= 1440 minutes in one day
7344/1440= 5.093 or 5.1 rounded to the nearest tenth
Dante’s cell phone company charges $45 per month for unlimited calls and texts,plus $0.25 per gigabyte of data.His last cell phone bill was $60.50.How many gigabytes of data did Dante use last month?
Find the interest
earned:
$ 15,500 for 7.5 years
at 4.9% annual
compound interest
Answer:
In 7.5 years, you will have $21,665.07 - $15,000 = $6,665.07 Interest
Step-by-step explanation:
a well is being dug into the ground. the well needs to reach the depth of 120 feet. a machine can dig down in 12 minutes. what is the change in depth each minute the machine is digging
Answer:
10 feet
Step-by-step explanation: