Answer:
x = -1
Step-by-step explanation:
y=-3x+6
Put y as 9 and solve for x.
9 = -3x + 6
Add 3x and -9 on both sides.
3x = 6 - 9
Subtract.
3x = -3
Divide 3 into both sides.
x = -3/3
x = -1
Answer:
Step-by-step explanation:
do you want it solved?
here it is, solved...
y=-3x+6
y=9
subsitution
9 = -3x + 6
x= - 1
pluggin for y
y = 3+6 = 9
y= 9
(-1,9)
Any help would be greatly appreciated
Answer:
[tex]\boxed{\sf \ \ \ 49a^8b^6c^2 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
[tex](-7a^4b^3c)^2=(-1)^27^2a^{4*2}b^{3*2}c^2=49a^8b^6c^2[/tex]
as
[tex](-1)^2=1[/tex]
A researcher used the technique with 9 students and observed that they had a mean of 10.8 hours with a standard deviation of 1.5. A level of significance of 0.05 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.
Answer:
[tex]t=\frac{10.8-11}{\frac{1.5}{\sqrt{9}}}=-0.4[/tex]
The degrees of freedom are given by:
[tex]df=n-1=9-1=8[/tex]
And the p value would be given by:
[tex]p_v =P(t_{(8)}<-0.4)=0.350[/tex]
Since the p value is higher than the the significance level of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from the traditional methods.
Step-by-step explanation:
Assuming this first part of the problem obtained from the web: "Using traditional methods, it takes 11.0 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed"
Information given
[tex]\bar X=10.8[/tex] represent the mean height for the sample
[tex]s=1.5[/tex] represent the sample standard deviation
[tex]n=9[/tex] sample size
[tex]\mu_o =11[/tex] represent the value that we want to test
[tex]\alpha=0.05[/tex] represent the significance level
t would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to test
We want to check if the true mean for this case is equal to 11 or not, the system of hypothesis would be:
Null hypothesis:[tex]\mu = 11[/tex]
Alternative hypothesis:[tex]\mu \neq 11[/tex]
The statistic would be given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]t=\frac{10.8-11}{\frac{1.5}{\sqrt{9}}}=-0.4[/tex]
The degrees of freedom are given by:
[tex]df=n-1=9-1=8[/tex]
And the p value would be given by:
[tex]p_v =P(t_{(8)}<-0.4)=0.350[/tex]
Since the p value is higher than the the significance level of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from the traditional methods.
The graphs below have the same shape. What is the equation of the blue
graph?
Answer: b
Explanation:
The -2 outside of the parentheses means it’s at y=-2 and the -4 inside the parentheses means it’s at x= 4 because it’s always the opposite
An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is the following.
y 0 1 2 3
p(y) 0.50 0.25 0.20 0.05
A) Compute E(Y).
B) Suppose an individual with Y violations incurs a surcharge of $110Y2. Calculate the expected amount of the surcharg.
Answer:
A. The E(Y) is 0.80
B. The expected amount of the surcharges is $165
Step-by-step explanation:
A. In order to calculate the E(Y), we would have to calculate the following formula:
E(Y)=∑yp(y)
E(Y)=(0*0.5)+(1*0.25)+(2*0.20)+(3*0.05)
E(Y)=0+0.25+0.40+0.15
E(Y)=0.80
B. In order to calculate the expected amount of the surcharges we would have to calculate the following formula:
E($110Y∧2)=110E(Y∧2)
=110∑y∧2p(y)
=110((0∧2*0.5)+(1∧2*0.25)+(2∧2*0.20)+(3∧2*0.05))
110(0+0.25+0.80+0.45)
=$165
Please help me....I need it
Answer:
Volume: 3x2x4=24 so the volume is 24 Meter3
Surface area:
52 Square meter
A rectangle or pyramid has a volume of 1296 in.³, a height of 24 inches, and a base length of 6 inches. What is the width of its base?
Answer: base width = 27 in
Step-by-step explanation:
Base width = 3 x (V / hl)
3 x (1296 / 24 x 6)
3 x (1296 / 144)
3 x 9 = 27
Simplify 8x + 10y + 9x - 3y by identifying and combining like terms. A. 17x + 13y B.24y C.17x+7 D.17x + 7y
Answer:
17x +7y
Step-by-step explanation:
8x + 10y + 9x - 3y
Combine like terms
8x+ 9x + 10y - 3y
17x +7y
8x+9x are like terms and 10y -3y are like terms
Answer:
17x + 7y
Step-by-step explanation:
8x + 10y + 9x - 3y
Rearrange.
8x + 9x + 10y - 3y
Factor out x and y.
x (8 + 9) + y (10 - 3)
Add or subtract.
x (17) + y (7)
17x + 7y
Carlos found that the length of the diagonal of his laptop monitor is StartRoot 290 EndRoot. If the manufacturer rounds to the nearest whole inch, what size is the monitor as measured by the diagonal? 12 17 97 245
The correct answer is
B) 17
I just took the quiz on edge
Answer:
it is 17
Step-by-step explanation:
i got it right on my test review
Suppose the expected returns on equity of two firms, Macrosoft and Microsoft, that operate in the same business are 10.50% and 13.00%, respectively. What is the return on assets in this business if Macrosoft has no debt?
Answer:
The return on assets in this business for Macrosoft is
ROA = 10.50%
Step-by-step explanation:
Return on Equity:
ROE represents how much a firm is generating profits by using the shareholder's money.
ROE is calculated as
[tex]$ {ROE = \frac{Annual \:\: net\: \: income}{Average \:\: shareholder's \:\: equity} $[/tex]
Return on Assets:
ROA represents how much a firm is generating profits for every dollar of its assets.
ROA is calculated as
[tex]$ {ROA = \frac{Annual \:\: net\: \: income}{Total \:\: assests} $[/tex]
What is the return on assets in this business if Macrosoft has no debt?
Debt plays an important role in the calculations of return on assets.
We know that
Assets = Liabilities + Equity
Since the Macrosoft has no debt, its return on assets will be same as return on equity.
Assets = Equity
ROA = ROE
ROA = 10.50%
For the dilation, DO, K = (10, 0) → (5, 0), the scale factor is equal to _____.
Answer:
[tex] \frac{1}{2} [/tex]
Step-by-step explanation:
[tex]scale \: factor = \frac{5}{10} = \frac{1}{2} \\ [/tex]
Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution. Thirty randomly selected students took the calculus final. If the sample mean was 95 and the standard deviation was 6.6, construct a 99% confidence interval for the mean score of all students.
A. 91.68
Answer:
B) 92.03 < μ < 97.97
99% confidence interval for the mean score of all students.
92.03 < μ < 97.97
Step-by-step explanation:
Step(i):-
Given sample mean (x⁻) = 95
standard deviation of the sample (s) = 6.6
Random sample size 'n' = 30
99% confidence interval for the mean score of all students.
[tex]((x^{-} - Z_{0.01} \frac{S}{\sqrt{n} } , (x^{-} + Z_{0.01} \frac{S}{\sqrt{n} })[/tex]
step(ii):-
Degrees of freedom
ν = n-1 = 30-1 =29
[tex]t_{0.01} = 2.462[/tex]
99% confidence interval for the mean score of all students.
[tex]((95 - 2.462 \frac{6.6}{\sqrt{30} } , 95 + 2.462\frac{6.6}{\sqrt{30} } )[/tex]
( 95 - 2.966 , 95 + 2.966)
(92.03 , 97.97)
Final answer:-
99% confidence interval for the mean score of all students.
92.03 < μ < 97.97
Teresa's parents are getting phones that each and 64 GB of storage how many bits of storage come with each phone answer both in scientific in standard notation
Answer:
5.12 x 10¹¹ bit
Step-by-step explanation:
1GB = 8 x 10⁹ bits
so 64gb = 64 x 8 x 10⁹
= 512 x 10⁹
= 5.12 x 10¹¹ bits
scientific notation = 5.12 x 10¹¹ bits
standard Notation = 512 ,000,000,000 bits.
Solve this system using substitution then write your answer as an ordered pair (x,y) X-5y=4 and Y=2x+14
Answer:
(74/9,274/9)
Step-by-step explanation:
You have
x-5y=4 and
y=2x+14
so we subsitute y in the first equation
x-5(2x+14)=4
x-10x-70=4
-9x=74
x=74/9
so y=2(74/9)+14
y=148/9+14
y=274/9
so the oredered pair is
(74/9,274/9)
The solution of the system of equations given is (-74/9, -22/9).
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Given linear equations are,
x - 5y = 4
y = 2x + 14
We have to solve this by substitution.
Substituting the value of y as y = 2x + 14 in the first equation x - 5y = 4,
x - 5 (2x + 14) = 4
By the distributive property,
x - 10x - 70 = 4
-9x = 74
x = -74/9
y = 2x + 14 = (2 × -74/9) + 14 = -22/9
Hence the solution of the system of equations as the ordered pair is (-74/9, -22/9).
Learn more about System of Linear Equations here :
https://brainly.com/question/19549073
#SPJ2
How many solutions does the system have?
You can use the interactive graph below to find the answer.
y=x+1
y = 2x – 5
Choose 1 answer:
The answer has one solution:
_______________________________
→ x = 6 ; y = 7 ; or, write as: [6, 7].
_______________________________
Step-by-step explanation:
_______________________________
Given:
y = x + 1;
y = 2x – 5 ;
_______________________________
2x – 5 = x + 1 ; Solve for "x" ;
Subtract "x" ; and Subtract "1" ; from Each Side of the equation:
2x – x – 5 – 1 = x – x + 1 – 1 ;
to get:
x – 6 = 0 ;
Now, add "6" to Each Side of the equation;
to isolate "x" on one side of the equation;
and to solve for "x" :
x – 6 + 6 = 0 + 6 ;
to get:
x = 6 .
_______________________________
Now, let us solve for "y" ;
We are given:
y = x + 1 ;
Substitute our solved value for "x" ; which is: "6" ; for "x" ; into this given equation; to obtain the value for "y" :
y = x + 1 ;
= 6 + 1 ;
y = 7 .
_______________________________
Let us check our answers by plugging the values for "x" and "y" ;
("6" ; and "7"; respectively); into the second given equation; to see if these values for "x" and "y" ; hold true:
Given: y = 2x – 5 ;
→ 7 =? 2(6) – 5 ?? ;
→ 7 =? 2(6) – 5 ?? ;
→ 7 =? 12 – 5 ?? ;
→ 7 =? 7 ?? ;
→ Yes!
_______________________________
The answer has one solution:
→ x = 6 ; y = 7 ; or, write as: [6, 7].
_______________________________
Hope this is helpful! Best wishes!
_______________________________
>
3. Express or-a-7
80X-9=7
Answer:
x = 1/5
Step-by-step explanation:
Step 1: Add 9 to both sides
80x = 16
Step 2: Divide both sides by 80
x = 16/80
Step 3: Simplify by dividing top and bottom by 16
x = 1/5
And we have our final answer!
Answer:
x = 1/5
Step-by-step explanation:
80x - 9 = 7
Add 9 into both sides.
80x = 7 + 9
80x = 16
Divide 80 into both sides.
x = 16/80
Simplify.
x = 1/5
Please answer this correctly
Answer:
80-119 ⇒ 5
Because
80-99 ⇒ 3
100-119 ⇒ 2
So 2+3 = 5
Answer:
80-119: 5
Step-by-step explanation:
If you just added up, you can find all the values.
f(x) = 2x – 1 g(x) = 7x – 12 What is h(x) = f(x) + g(x)?
After a 4% reduction, you purchase a new suit for $288. What was the original price of the suit?
Answer:
$300
Step-by-step explanation:
Let [tex]x[/tex] be the original price.
[tex]x \times (1-0.04)=288[/tex]
[tex]0.96x=288[/tex]
[tex]x=\frac{288}{0.96}[/tex]
[tex]x=300[/tex]
Answer:
$300
Step-by-step explanation:
If it was a 4% reduction then we get:
[tex]x*0.96=288\\[/tex]
Divide both sides by 0.96
[tex]x=300[/tex]
The original suit price was $300
What is the common difference of the sequence 20, 17, 14, 11, 8.... ?
Answer:
-3
Step-by-step explanation:
every sequence goes down by -3
Answer:
take away 3. the common difference is 3
Step-by-step explanation:
take away 3
Area of trapezoid 5 inch h=5 inch 15 inch
Answer:
50 in²
Step-by-step explanation:
If we assume that 5 inch and 15 inch are the base dimensions, the area formula tells us the area is ...
A = (1/2)(b1 +b2)h
A = (1/2)(5 in +15 in)(5 in) = 50 in²
The area of the trapezoid is 50 square inches.
MAN IF U ANSWER THIS QUESTION U ENDED 2020 Which of the following is equal to the square root of the cube root of 6? 6 to the power of one sixth 6 to the power of one third 6 to the power of two thirds 6 to the power of three halves
Answer:
6 to the power of 1/6
Step-by-step explanation:
In general, a root is the same as a fractional power. That is, ...
[tex]\sqrt[n]{x}=x^{\frac{1}{n}}[/tex]
So, the square root of a cube root is ...
(6^(1/3))^(1/2)
According to the rules of exponents, a power of a power is ...
(a^b)^c = a^(bc)
so, the above root of a root is ...
(6^(1/3))^(1/2) = 6^((1/3)(1/2)) = 6^(1/6)
The square root of the cube root of 6 is 6 to the power of 1/6.
Answer:
A) 6^1/6 or 6 to the power of 1 sixth
A chemist mixes 175 millilters of solution that is 62% acid with 75 milliliters of pure acid. What percentage of the resulting Mixture is acid
Answer:
73.4%
Step-by-step explanation:
The ratio of acid to mixture volume is ...
(0.62·175 +1.00·75)/(175 +75) = 183.5/250 = 0.734 = 73.4%
73.4% of the resulting mixture is acid.
How would plot y=1/4x-4 on graph
Answer:
________________________
The Highway Safety Department wants to study the driving habits of individuals. A sample of 41 cars traveling on the highway revealed an average speed of 60 miles per hour and a standard deviation of 7 miles per hour. The population of car speeds is approximately normally distributed. Determine a 90% confidence interval estimate for the speed of all cars.
Answer:
58,21 ≤ μ ≤ 61,79
Step-by-step explanation:
Normal Distribution
Poputation size n = 41
Population mean X = 60
Population standard deviation σ = 7
Question is: Confidence Interval 90 % ??
As Confidence Interval is 90 % then α = 10 %
And as we are dealing with a two tail test
α/2 = 0,05
We look in Z table for values for α/2 = 0,05 and find
z(α/2) = - 1,64 and z(α/2) = 1,64
Then
Confidence Interval is
X - Zα/2 * σ/√n ≤ μ ≤ X + Zα/2 * σ/√n
60 - ( 1,64 ) * 7/√41 ≤ μ ≤ 60 + ( 1,64 ) * 7/√41
60 - 1,64 * 1,09375 ≤ μ ≤ 60 + 1,64 * 1,09375
60 - 1,79375 ≤ μ ≤ 60 + 1,79375
58,21 ≤ μ ≤ 61,79
A study is done to determine if students in the California state university system take longer to graduate than students enrolled in private universities. 100 students from both the California state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5591 years and 1 year, respectively. Suppose the following data are collected. The California state university system students took on average 4.5 years with a standard deviation of 0.8. The private university students took on average 4.1 years with a standard deviation of 0.3. Conduct a hypothesis test at the 5% level.
Answer:
There is enough evidence to support the claim that students in the California state university system take significantly longer to graduate than students enrolled in private universities (P-value = 0.0007).
Step-by-step explanation:
This is a hypothesis test for the difference between populations means.
The claim is that students in the California state university system take significantly longer to graduate than students enrolled in private universities.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0[/tex]
The significance level is α=0.05.
The sample standard deviation is take into account and performed a two sample t-test. The 100 students are considered to be divided equally between state and private.
The sample 1 (state), of size n1=50 has a mean of 4.5 and a standard deviation of 0.8.
The sample 2 (private), of size n2=50 has a mean of 4.1 and a standard deviation of 0.3.
The difference between sample means is Md=0.4.
[tex]M_d=M_1-M_2=4.5-4.1=0.4[/tex]
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{M_d}=\sqrt{\dfrac{\sigma_1^2+\sigma_2^2}{n}}=\sqrt{\dfrac{0.8^2+0.3^2}{50}}\\\\\\s_{M_d}=\sqrt{\dfrac{0.73}{50}}=\sqrt{0.015}=0.121[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{0.4-0}{0.121}=\dfrac{0.4}{0.121}=3.3104[/tex]
The degrees of freedom for this test are:
[tex]df=n_1+n_2-1=50+50-2=98[/tex]
This test is a right-tailed test, with 98 degrees of freedom and t=3.3104, so the P-value for this test is calculated as (using a t-table):
[tex]\text{P-value}=P(t>3.3104)=0.0007[/tex]
As the P-value (0.0007) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that students in the California state university system take significantly longer to graduate than students enrolled in private universities.
Which is the better buy? Store A: $250 of 20% off Or Store B $280 at 25% off
Show your work
Answer:
Store A
Step-by-step explanation:
So. What we are going to want to do here is start off by having two stores obviously. And we have the sales that they have. If the discount is 20% rhat means the new price will be 80% of 250. So we take 250 x .8 = 200
If the discount is 25%, that means the new price will be 75% of what it was before hand. So we take 280 x .75 = 210. So the better price is at Store a
Find the sum of the first 100 terms of the arithmetic sequence with the first term 2 and the common difference 5.
Answer: 24950
Step-by-step explanation:
We use the formula
sn=n2(2a+(n−1)d)
To find the sum of the first n terms of an arithmetic series with common difference d (5) and first term a (2).
Sn=100/2(2*2+(100−1)5)
Solving for a we obtain:
Sn=50(4+495)
Sn=50(499) = 24950
One side of a laptop is 9.5 inches and the other side is 14 inches. Using the Pythagorean Theorem, what is the length of the diagonal of the laptop? Answer choices are rounded to the nearest inch.
Answer:
17 inches
Step-by-step explanation:
Pythagorean Theorem: a²+b²=c²
a²=90.25
b²=196
c²=286.25
c=length of diagonal
c=16.9189243
c≅17 inches
A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola yequals25minusxsquared. What are the dimensions of the rectangle with the maximum area? What is the area?
Answer:
The answer is "[tex]\bold{\frac{32}{3}}\\[/tex]"
Step-by-step explanation:
The rectangle should also be symmetrical to it because of the symmetry to the y-axis The pole of the y-axis. Its lower two vertices are (-x,0). it means that
and (-x,0), and (x,0). Therefore the base measurement of the rectangle is 2x. The top vertices on the parabola are as follows:
The calculation of the height of the rectangle also is clearly 16-x^2, (-x,16,-x^2) and (x,16,-x^2).
The area of the rectangle:
[tex]A(x)=(2x)(16-x^2)\\\\A(x)=32x-2x^3[/tex]
The local extremes of this function are where the first derivative is 0:
[tex]A'(x)=32-6x^2\\\\32-6x^2=0\\\\x= \pm\sqrt{\frac{32}{6}}\\\\x= \pm\frac{4\sqrt{3}}{3}\\\\[/tex]
Simply ignore the negative root because we need a positive length calculation
It wants a maximum, this we want to see if the second derivative's profit at the end is negative.
[tex]A''\frac{4\sqrt{3}}{3} = -12\frac{4\sqrt{3}}{3}<0\\\\2.\frac{4\sqrt{3}}{3}= \frac{8\sqrt{3}}{3}\\\\\vertical \ dimension\\\\16-(\frac{4\sqrt{3}}{3})^2= \frac{32}{3}[/tex]
Help me with answer B
Thank you
Answer:
193.77 < p < 1806.23
Step-by-step explanation:
You want R(p) > 2,100,000, so ...
-6p^2 +12000p > 2100000
p^2 -2000p < -350000 . . . . divide by -6
Adding (2000/2)^2 = 1000000 will "complete the square".
p^2 -2000p +1000000 < 650000 . . . . complete the square
(p -1000)^2 < 650000
-√650000 < p -1000 < √650000 . . . . take the square root
1000 -806.23 < p < 1000 +806.23 . . . .add 1000
193.77 < p < 1806.23 . . . . range of prices for desired revenue