Answers
Answer:
a.
Step-by-step explanation:
y = 2/3 x + 7
3 * y = 3 * (2/3 x + 7)
3y = 2x + 21
2x - 3y = -21
-2x + 3y = 21
Answer: a.
Related Questions
The degree of this expression 2x+3y=4
Answers
Answer:
1st degree
Step-by-step explanation:
You look at the largest exponet, right here, there are none so it would be 1st degree.
Answer:
1
Step-by-step explanation:
The degree of an expression with multiple exponents is the highest exponent in it. In this expression, there is no expression, so the answer will be 1 because there is no exponent and every variable and number has an invisible 1 as its exponent.
Hope this helps.
Type the correct answer in each box.
Consider the expressions shown below.
A B C
Complete each of the following statements with the letter that represents the expression.
is equivalent to expression
.
is equivalent to expression
.
is equivalent to expression
.
Answers
Answer:
BAC
Step-by-step explanation:
The expression (3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to the expression A, expression (-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent to the expression C, and expression (12x² + 6x - 5) - (5x² + 8x - 12) is equivalent to the expression B.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a polynomial shown in the picture.
A = -7x² - 2x + 5
B = 7x² - 2x + 7
C = 7x² + 2x - 5
The expression is:
= (3x² - 6x + 11) - (10x² - 4x + 6)
= -7x² - 2x + 5
= A
= (-3x² - 5x - 3) - (-10x² - 7x + 2)
= 7x² + 2x - 5
= C
= (12x² + 6x - 5) - (5x² + 8x - 12)
= 7x² - 2x + 7
= B
Thus, the expression (3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to the expression A, expression (-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent to the expression C, and expression (12x² + 6x - 5) - (5x² + 8x - 12) is equivalent to the expression B.
Learn more about Polynomial here:
brainly.com/question/17822016
#SPJ5
Find the dimensions of a rectangle with perimeter 76 m whose area is as large as possible. m (smaller value) m (larger value)
Answers
Answer:
19 m
Step-by-step explanation:
Perimeter = 2(length + width) ; P = 2(l+w) - - (1)
Area = Length * width ; A = l*w - - - (2)
76 = 2(l+w)
76/2 = l+w
l+w = 38
l = 38 - w
Put l = 38 - w in (1)
A = (38-w)*w
A = 38w - w²
At maximum point:
dA/dw = 0
dA/dw = 38 - 2w
38 - 2w = 0
38 = 2w
w = 38/2
w = 19
Suppose the national mean annual salary for a school administrator is $91,000 a year. A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state to see if they differed from the national average.
77,600 76,000 90,700 97,200 90,700
101,800 78,700 81,300 84,200 97,600
77,500 75,700 89,400 84,300 78,700
84,600 87,700 103,400 83,800 101,300
94,700 69,200 95,400 61,500 68,800
(a) Formulate hypotheses that can be used to determine whether the population mean annual administrator salary in Ohio differs from the national mean of $91,000.
H0: μ ≤ 91,000
Ha: μ > 91,000
H0: μ > 91,000
Ha: μ ≤ 91,000
H0: μ ≥ 91,000
Ha: μ < 91,000
H0: μ < 91,000
Ha: μ ≥ 91,000
H0: μ = 91,000
Ha: μ ≠ 91,000
(b) The sample data for 25 Ohio administrators is contained in the file named Administrator.
What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.)
What is the p-value for your hypothesis test in part (a)? (Round your answer to four decimal places.)
p-value =
(c) At
α = 0.05,
can your null hypothesis be rejected? What is your conclusion?
Reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.Do not reject H0. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary. Reject H0. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.Do not reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.
(d) Repeat the preceding hypothesis test using the critical value approach.
State the null and alternative hypotheses.
H0: μ ≤ 91,000
Ha: μ > 91,000
H0: μ > 91,000
Ha: μ ≤ 91,000
H0: μ ≥ 91,000
Ha: μ < 91,000
H0: μ < 91,000
Ha: μ ≥ 91,000
H0: μ = 91,000
Ha: μ ≠ 91,000
Find the value of the test statistic. (Round your answer to three decimal places.)
State the critical values for the rejection rule. Use
α = 0.05.
(Round your answer to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)
test statistic≤test statistic≥
State your conclusion.
Reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.Do not reject H0. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary. Reject H0. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.Do not reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.
Answers
Answer:
H0 : μ = 91000
H1 : μ ≠ 91000
Test statistic = - 2.594
Pvalue = 0.016
|Tcritical | = 2.064
Reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.
Reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.
Step-by-step explanation:
The hypothesis :
H0 : μ = 91000
H1 : μ ≠ 91000
From the data given :
77600 76000 90700 97200 90700
101800 78700 81300 84200 97600
77500 75700 89400 84300 78700
84600 87700 103400 83800 101300
94700 69200 95400 61500 68800
Using calculator :
Sample mean, xbar = 85272
Sample standard deviation, s = 11039.23
Sample size, n = 25
The test statistic :
(xbar - μ) ÷ (s/√(n))
(85272 - 91000) / (11039.23/√(25)
Test statistic = - 5728 / 2207.846
Test statistic = - 2.594
The Pvalue : df = n - 1 = 25 - 1 = 24
Pvalue(-2.594, 24) = 0.0159
Decision region :
Reject H0 ; If Pvalue < α ;
α = 0.05
Using the critical value :
Decision region :
Reject H0 ; If Test statistic > |Tcritical;
Tcritical value at df = 24 ; α = 0.05 ;
|Tcritical | = 2.064
Hence,
We Reject H0 ; Since, |Test statistic| > |Tcritical|and conclude that mean salary depends differs
Last question pls help me
Answers
Answer:
Step-by-step explanation:
684 dollars
The scores from the first test for students in my statistics class have an average of 70 and a standard deviation of 3. The scores from the second test has the same average and standard deviation as scores from the first test. The variance of the score from the second test given that the score in the first test is 65, is 2. Assume the scores of the students in the first test and second test are positively correlated and have a bivariate normal distribution. Calculate the average scores of the students in the second test given that the scores in the first test are 65.
Answers
Answer:
[tex]P(Y| X = 65)=66[/tex]
Step-by-step explanation:
From the question we are told that:
Mean[tex]\=x=70[/tex]
Standard Deviation [tex]\sigma=3[/tex]
Variance [tex]\sigma^2=2[/tex]
Generally the equation for Variance of Prediction is mathematically given by
[tex]\sigma_{p}^2=\sigma_{p}'^2*(1-r^2)[/tex]
Where
[tex]\sigma_{p}'^2=variance\ of\ predictor[/tex]
Therefore
[tex]2=3^2*(1-r^2)\\\\r=0.88[/tex]
Therefore
The Average score of student in 2nd test
[tex]P(Y| X = x) = \mu +\frac{p\sigma}{\sigma(x −\mu_X)}[/tex]
[tex]P(Y| X = 65) = 70 +0.88\frac{3}{3)}*(65-70)[/tex]
[tex]P(Y| X = 65)=66[/tex]
Kylie fell asleep 34% of the way through the trip. If kylie fell asleep after they had traveled 306 miles what wasthe total length of the trip.
Answers
Answer:
900
Step-by-step explanation:
34/100 = 306/x
Cross multiplying, you get:
34x=30600
x=900
Total trip is 900 miles long.
+
Put the following decimals in order, starting with the smallest at the top.
Smallest
5.07
5.76
50.67
55.706
50.765
Answers
Answer:
5.07, 5.76, 50.67, 50.765, 55.706
Step-by-step explanation:
What is the slope of the line that passes through the points (9, 4) and (9,-5)?
Write your answer in simplest form.
Answers
Answer:
slope=undefined
Step-by-step explanation:
(-5-4)/(9-9)
-9/0
[tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]
[tex]\frac{(-5-4)}{(9-9)}[/tex]
[tex]\frac{-9}{0}[/tex]
Because the denominator is 0, the slope is undefined.
Rise over run. The run is 0.
A survey of 200 school children classified students by gender and the number of times Sharky's Soda was purchased each month at school. Examine the chart below, where each respondent is classified according to the two criteria.
- What percentage of boys bought 1 Sharky's? What percentage of girls bought 2 or more Sharky's?
-What percentage of people bought no Sharky's?
-How would you characterize the relationship between boys that purchased Sharky's and the total of people buying 2 or more Sharky's Soda?
Answers
Answer:
15%
65%
7.5%
Step-by-step explanation:
1.) Percentage of boys who bought 1 Sharkys
Number of boys that bought 1 sharkys = 15
Total number of boys = 100
= 15 / 100 * 100% = 15%
2.)
Percentage of girls who bought 2 or more sharkys :
Number of girls who bought 2 or more sharkys
= 65
Total number of girls = 100
= 65 / 100 * 100% = 65%
3.)
Percentage of people who bought no sharkys
Number of people who bought no sharkys = 15
Total number of people = 200
15 / 200 * 100% = 7.5%
For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology output shows that the hypothesis test has power of 0.4272 of supporting the claim that μ<6 hours of sleep when the actual population mean is 4.0 hours of sleep. Interpret this value of the power, then identify the value of β and interpret that value.
Answers
Answer:
#[tex]\beta=0.5492[/tex]
#This Value of [tex]\beta[/tex] goes to indicate that there is greater [tex]50\%[/tex] probability that [tex]\mu<8[/tex] will not be acknowledged at [tex]\mu =5[/tex]
Step-by-step explanation:
From the question we are told that:
Amount of sleep for adults [tex]X=P(< 6)[/tex]
Hypothesis test has power [tex]p=0.4272[/tex]
Mean [tex]\=x =4hours[/tex]
Generally the equation for [tex]\beta[/tex] is mathematically given by
[tex]\beta=1-P[/tex]
[tex]\beta=1-0.4508[/tex]
[tex]\beta=0.5492[/tex]
Therefore
This Value of [tex]\beta[/tex] goes to indicate that there is greater [tex]50\%[/tex] probability that [tex]\mu<8[/tex] will not be acknowledged at [tex]\mu =5[/tex]
order of operations
(20-6+4)*2+2
Answers
The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 2015
Answers
Answer:
The projected world population in 2015 was 8,705,121,030 people.
Step-by-step explanation:
Given that the population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year, assuming that the world population follows an exponential growth model, to find the projected world population in 2015 the following calculation must be performed :
5,000,000,000 x 1.02 ^ (2015-1987) = X
5,000,000,000 x 1.02 ^ 28 = X
5,000,000,000 x 1.741024 = X
8,705,121,030 = X
Therefore, the projected world population in 2015 was 8,705,121,030 people.
i need help plz help.i need the answer asap
Answers
Answer:
Step-by-step explanation:
If you need to use all the letters, the only other word I can see is STRUT.
Answer:
120
Step-by-step explanation:
5!
if they are looking for words that actually exist then 11
also rsm right?
HELP ASAP!!!!
What is the X intercept of the graph that is shown below?(-2, 0)
(-1, 2)
(0.4)
(4.0)
Answers
Answer:
The x-intercept of the graph is (-2,0)
OAmalOHopeO
If a square root parent function is vertically compressed by a factor of 1/6,
what is the equation of the new function, G(x)?
O A. G(x)=1/6square root of x
B. G(x) = Square root of 6x
C. G(x) = 6 square root of x
D. G(x) = -6 square root of x
Answers
Answer:
the answer could be B i think cause that makes total sense
simplify (q and (-q or p)) or (p and -(q and p))
Answers
Step-by-step explanation:
(q and (not q or p)) = (q and not q) or (q and p) = false or q and p = q and p
(p and not (q and p)) = (p and (not q or not p)) =
= (p and not q) or (p and not p) = (p and not q) or false =
= p and not q
so, we have in total
(q and p) or (p and not q) = (p and q) or (p and not q).
this is p, because if p=false both brackets are false and therefore the whole expression is false. and if p=true, then one of the 2 brackets must be true, which makes the whole expression true.
Look at the images above. How are the fish food box and the shipping box similar? How are they different?
Answers
Answer:
Read below c:
Step-by-step explanation:
Both are rectangular prisms and they have similar dimensions. They are different because one is visibly larger then the other.
hope it helps c:
Simplify 45 - 8 + 12 - (-25)
Answers
Answer:
74
Step-by-step explanation:
BODMAS
12-(-25)
=12+25=37
45-8+37
45-8=37
37+37=74
=74
Answer:
37+12+25
74 Answer
hope it helps
Find the value(s) of a in the domian of f for which f(a)=1.
f (x)=x^2+2x-2
Answers
Answer:
1 ≤ y < ∞
Step-by-step explanation:
very true
Someone help so lost I didn’t understand the course and now I’m stuck please help a girl out
Answers
Answer:
the answer is b. you are basically multiplying them
19/3+[14/3 ÷{10-3(3+1/2-1/4)×1/3}]
Answers
Answer:
= 3 11/20
Sorry I am not doing the step by step.
what it the value of m when (2m+8)° and the other angle 24°
Answers
Answer:
m = 74
Step-by-step explanation:
2m+8 +24 has to = 180 because they form a line. So the equation would be 2m+32 = 180, so then 2m would equal 148, so m = 74.
What is the answer to
5x9/17+6
Answers
Answer:
I don't know which one you mean so I did both:
[tex]\frac{5*9}{17+6} =\frac{45}{23}[/tex] [tex]5*\frac{9}{17} +6=\frac{45}{17} +\frac{102}{17} =\frac{147}{17}[/tex]What is the value of this expression when h= -2 and g = 5?
242 +9
Answers
Answer:
B
Step-by-step explanation:
the g is not in the root, solve everything in the root separately and then add g to it
I need help with this
Answers
Answer:
A. More students prefer Model A1 calculators than the Model C3 calculators.
When Poll Pasked students to identify their favorite kind
of TV show, 12 students, 30% of the group, said their
favorite was Sports. Poll Q asked 3 times as many
students as Poll P.
G
How many students took Poll Q?
Answers
Answer:A) The number of students who took Poll P
Step-by-step explanation:
i did it on the assignment
The entire graph of the function f is shown in the figure below.
Write the domain and range of f using interval notation.
Answers
Answer:
below
Step-by-step explanation:
domain. = ( -5 , 4)
range = ( -2 , 3)
please help me please help me
Answers
14. largest 9510
15. smallest 1000000
16. n+6=22 —> n=22-6 —>n = 16
17. Add : 204 + 38429= 38633
Round 86,261,785 to the nearest hundred?
Answers
Answer:
86,261,800 is your answer
Answer:
86,261,800
Step-by-step explanation:
Locating the hundreds place...
86,261,785
Look at the digit to the right of it.
86,261,785
Since the digit '8' is greater than or equal to 5, we would round up.
86,261,785 ≈ 86,261,800
Hope this helps.
