Answer:
$288
Step-by-step explanation:
10% of 240 is 240 / 10 = 24
24 X 2 = 48
240 + 48 = $288
Answer:
$288 ....brainliest appreciated pls
Step-by-step explanation:
20/100 × 240 = 48dollars
so...the selling price becomes 240+48 = $288
write the standard form of line that passes through (1,5) and (-2,3)
Answer:
2/3x - y = -13/3
Step-by-step explanation:
Step 1: Find slope m
m = (3 - 5)/(-2 - 1)
m = -2/-3
m = 2/3
y = 2/3x + b
Step 2: Find b
5 = 2/3(1) + b
5 = 2/3 + b
b = 13/3
Step 3: Write equation in slope-intercept form
y = 2/3x + 13/3
Step 4: Move 2/3x over
-2/3x + y = 13/3
Step 5: Factor out -1
-1(2/3x - y) = 13/3
Step 6: Divide both sides by -1
2/3x - y = -13/3
how large of a sample of state employee should be taken if we want to estimate with 98% confidence the mean salary to within 2000 g
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
How large of a sample of state employees should be taken if we want to estimate with 98% confidence the mean salary to be within $2,000? The population standard deviation is assumed to be $10,500. z-value for 98% confidence level is 2.326.
Answer:
Sample size = n = 150
Step-by-step explanation:
Recall that the margin of error is given by
[tex]$ MoE = z \cdot (\frac{\sigma}{\sqrt{n} } ) $\\\\[/tex]
Re-arranging for the sample size (n)
[tex]$ n = (\frac{z \cdot \sigma }{MoE})^{2} $[/tex]
Where z is the value of z-score corresponding to the 98% confidence level.
Since we want mean salary to be within $2,000, therefore, the margin of error is 2,000.
The z-score for a 98% confidence level is 2.326
So the required sample size is
[tex]n = (\frac{2.326 \cdot 10,500 }{2,000})^{2}\\\\n = (12.212)^{2}\\\\n = 149.13\\\\n = 150[/tex]
Therefore, we need to take a sample size of at least 150 state employees to estimate with 98% confidence the mean salary to be within $2,000.
what is 3 + 3 × 3 + 3 =
Answer:
15
Step-by-step explanation:
PEMDAS
3x3 = 9
3+3 = 6
9+6 = 15
By the BODMAS rule we get, 3 + 3 × 3 + 3 = 15
The acronym BODMAS rule is used to keep track of the right sequence of operations to do when solving mathematical issues. Brackets (B), order of powers or roots (O), division (D), multiplication (M), addition (A), and subtraction (S) are all represented by this acronym (S).
3 + 3 × 3 + 3 =
3 × 3 = 9
3 + 9 + 3 = 15.
Therefore, the correct answer is 15.
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A client would like a logo printed onto a canvas that is at least 70 inches tall. The original logo is 4.5 inches wide by 3.6 inches tall. Which dimensions will keep the logo in proportion and large enough to meet the client's requirements?
Answer:
to find the dimension I would get 3.6/4.5=x/70 amd u get 3.6*70=4.5x and u get 252=4.5x and x=56
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let the width of logo printed on canvas = x inches
Dimensions are in proportion
[tex]\frac{70}{x}=\frac{3.6}{4.5}\\[/tex]
Cross multiply
70 * 4.5 = x * 3.6
x * 3.6 = 315
[tex]x=\frac{315}{3.6}\\\\=\frac{3150}{36}\\\\x=87.5inches[/tex]
Please help ASAP thanks in advance
Answer:
P(0,4)
Q(2,0)
Step-by-step explanation:
We khow that both P and Q are lying in the line : 4x+2y=8
4x+2y=82y = -4x+8y= -2x+4 P(0,y) ⇒y= -2*0+4=4 ⇒ P(0,4) Q(x,0)⇒ 0=-2*x+4 ⇒ x= 2⇒ Q(2,0)find the gradient of the line segment between the points N(-1,2) and M(-6,3)
Answer:
1/5
Step-by-step explanation:
Gradient is another word for slope. To find the gradient, we have to use a formula.
You are given that sin(A)=−20/29, with A in Quadrant III, and cos(B)=12/13, with B in Quadrant I. Find sin(A+B). Give your answer as a fraction.
Answer:
[tex]sin(A+B)=-\dfrac{345}{377}[/tex]
Step-by-step explanation:
Given that:
[tex]sin(A)=-\dfrac{20}{29}\\cos(B)=\dfrac{12}{13}[/tex]
A is in 3rd quadrant and B is in 1st quadrant.
To find: sin(A+B)
Solution:
We know the Formula:
1. [tex]sin(A+B) = sinAcosB+cosAsinB[/tex]
2. [tex]sin^{2} \theta+cos^{2} \theta=1[/tex]
Now, let us find the values of cosA and sinB.
[tex]sin^{2} A+cos^{2} A=1\\\Rightarrow (\frac{-20}{29})^2+cos^{2} A=1\\\Rightarrow cos^{2} A=1- \dfrac{400}{941}\\\Rightarrow cos^{2} A=\dfrac{941-400}{941}\\\Rightarrow cos^{2} A=\dfrac{441}{941}\\\Rightarrow cos A=\pm \dfrac{21}{29}[/tex]
A is in 3rd quadrant, so cosA will be negative,
[tex]\therefore cos A=-\dfrac{21}{29}[/tex]
[tex]sin^{2} B+cos^{2} B=1\\\Rightarrow sin^{2} A+(\frac{12}{13})^2=1\\\Rightarrow sin^{2} B=1- \dfrac{144}{169}\\\Rightarrow sin^{2} B=\dfrac{169-144}{169}\\\Rightarrow sin^{2} B=\dfrac{25}{169}\\\Rightarrow sinB=\pm \dfrac{5}{13}[/tex]
B is in 1st quadrant, sin B will be positive.
[tex]sinB =\dfrac{5}{13}[/tex]
Now, using the formula:
[tex]sin(A+B) = sinAcosB+cosAsinB\\\Rightarrow -\dfrac{20}{29} \times \dfrac{12}{13}-\dfrac{21}{29}\times \dfrac{5}{13}\\\Rightarrow -\dfrac{20\times 12+21\times 5}{29\times 13} \\\Rightarrow -\dfrac{240+105}{29\times 13} \\\Rightarrow -\dfrac{345}{377}[/tex]
[tex]sin(A+B)=-\dfrac{345}{377}[/tex]
WILL GIVE BRAINLIEST TO ANSWER:)) <33
Q: A committee of six people is to be formed from a pool of six grade 11 students and seven grade 12 students. Determine the probability that the committee will have two grade 11 students.
Answer: 5/26
Step-by-step explanation: 6/13 x 5/12
If y = x2 + 2x , find the value of y when x = 3
and
If y = x3 - 3 , find the value of y when x = 2 plsss help me
Answer:
y=15; y=5
Step-by-step explanation:
y=x2+2x
plug in x as 3:
y=3 2+ 2*3
y=9+6
y=15
Next problem:
y=x3-3
plug in x as 2:
y=2 3-3
y=8-3
y=5
Entertainment Software Association would like to test if the average age of "gamers" (those that routinely play video games) is more than 30 years old. A Type I error would occur if Entertainment Software Association concludes that the average age of gamers is: _______.
A. Equal to 30 years when, in reality, the average age is not equal to 30 years
B. Not equal to 30 years when, in reality, the average age is equal to 30 years
C. Greater than 30 years when, in reality, the average age is 30 years or less
D. 30 years or less when, in reality, the average age is more than 30 years
Answer:
"30 years or less when, in reality, the average age is more than 30 years"
Step-by-step explanation:
Type I error is produced when conclusion rejects a true null hypothesis.
The null hypothesis is
"The average gamer is more than 30 years old"
(deduced from the wording, not explicitly stated).
Then if the conclusion is "the average gamer is less than or equal to 30 years old" when in reality the average age is more than 30 years, then there is a type I error, since the null hypothesis is rejected.
Answer is D:
"30 years or less when, in reality, the average age is more than 30 years"
Jane is collecting data for a ball rolling down a hill. She measures out a set of different distances and then proceeds to use a stop watch to find the time it takes the ball to roll. What are the independent, dependent, and control variables in this experiment?
Answer:
Step-by-step explanation:
The independent variables are the input values which are not dependent on the other value.
The dependent variables are the output values whose values depends on the value of some other number.
The independent variable in this case is the data on the set of distances she measured out.
The dependent variable in this case is the the time (measured by the stopwatch) it takes for the ball to roll.
The control variable in this case study is the size of ball, slope of hill, weight of ball etc.
20 pts! If Quadrilateral J K L M is congruent to quadrilateral C B D A, which pair of sides must be congruent? Segment J K and Segment A B Segment J K and Segment C B Segment J M and Segment A D Segment J M and Segment B C
Answer:
segment I'm and segment ad
Answer:
The answer is B
Step-by-step explanation:
If two chords in a circle are congruent, then they are
_____
Answer:
A
Step-by-step explanation:
Two congruent chords in a circle have the same distance from the center.
If two chords in a circle are congruent, then they are the same distance from the center of the circle .
What are the properties of equal chords of a circle?The properties of Equal Chords of a Circle are:
In a circle equal-chords are equidistant from the center.Equal-chords of congruent circles are equidistant from the corresponding centers.In a circle equal chords subtend equal angles at the center.According to the question
If two chords in a circle are congruent, then they are
Now,
By properties of Equal Chords of a Circle
The equal chords will be equal distance from the center of the circle .
Hence, If two chords in a circle are congruent, then they are the same distance from the center of the circle .
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1/9 − y2 when factored is:
Answer:
Step-by-step explanation:
hello
[tex]\dfrac{1}{9}-y^2=(\dfrac{1}{3})^2-y^2=(\dfrac{1}{3}-y)(\dfrac{1}{3}+y)=\dfrac{(1-3y)(1+3y)}{9}[/tex]
hope this helps
The rule of 70 states that if yt grows at a rate of g percent per year, then the number of years it takes yt to:
Answer:
с.ifyt grows at a rate of g percent per year, then the number of years it takes yt to double is approximately equal to 70/g
Step-by-step explanation:
The given options
a.ifyt grows at a rate of g percent per year, then the number of years it takes yt to double is approximately equal to g 70
b. if yt grows at a rate of g percent per year, then the number of years it takes yt to double is approximately equal to 70/1
с.i fyt grows at a rate of g percent per year, then the number of years it takes yt to double is approximately equal to 70/g
d. if yt grows at a rate of g percent per year, then the number of years it takes yt to triple is approximately equal to 70/g
е.ifyt grows at a rate of g percent per year, then the number of years it takes yt to double is exactly equal to 70/g
The rule of 70 refers to the time period in which the investment you make is doubled. It analyzed that in how many years it took for doubling the amount by considering the specific rate of return
Now we go through the options and as we can see that the option c meets the requirement as the g represents the growth rate and it fits to the above explanation
What is if we divide 8 by 4 multiply by 6 and add 2 then subtract 2 what is the result?
Answer:
its its 12.
Step-by-step explanation:
=8÷4×6+2-2
=2×6+2-2
=12+2-2
=14-2
=12 is answer..
Answer:
12
Step-by-step explanation:
8÷4×6+2-2
=2×6+2-2
=12+2-2
14-2
=12
Use the counting principle to determine the number of elements in the sample space. Two digits are selected without replacement from the digits 1, 2, 3, and 4.
Answer:
if the order of the digit matters, we have:
options: 1, 2, 3, 4.
We want to select two digits.
First selection: we have 4 options
Second selection: we have 3 options (because we already selected one in the first selection)
The total number of elements in the sample space, or the total number of combinations, is equal to the product of the number of options in each selection, this is:
P = 4*3 = 12
2.4.16
Let:
U= {a,b,c,d,e,f,g,h}
A = {b,d,e}
B = {a,d,e}
C={a,c,f,g,h}
Find the set (AnB) U (Anc).
Select the correct choice below and if necessary fi
Answer:
(A⋂B) U (A⋂C) = {d, e}
Step-by-step explanation:
U= {a,b,c,d,e,f,g,h}
A = {b,d,e}
B = {a,d,e}
C={a,c,f,g,h}
=> A⋂B = {d,e}
=> A⋂C = ∅
=> (A⋂B) U (A⋂C) = {d, e}
Factor completely 2x⁴y³-12x³y²-8x²y
There is a bag filled with 4 blue and 5 red marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting at least 1 red?
Answer:
[tex]\dfrac{65}{81}[/tex] or 80.25%
Step-by-step explanation:
Number of blue Marbles = 4
Number of Red Marbles = 5
Total Number of marbles =4+5=9
[tex]P(B)=\dfrac49\\\\P(R)=\dfrac59[/tex]
In the experiment, two marbles are chosen one after the other with replacement.
The possible outcomes are: BB, BR, RB and RR
The probability of getting at least 1 red
=P(BR or RB or RR)
=P(BR)+P(RB)+P(RR)
[tex]=\left(\dfrac49\times\dfrac59\right) + \left(\dfrac59\times\dfrac49\right)+\left(\dfrac59\times\dfrac59\right)\\\\=\dfrac{20}{81}+\dfrac{20}{81}+\dfrac{25}{81}\\\\=\dfrac{65}{81}[/tex]
Expressed as a percentage, we have:
[tex]\dfrac{65}{81}\times100=80.25\%[/tex]
The probability of getting at least 1 red is 80.25%.
The regular price of a baseball cleats is $80. If the cleats are on sale for 45% off. then: (how to solve this two questions?) a) What is the value of the discount, in dollars? b) What is the final selling price of the cleats, before tax?
Answer:
The discount is 36 dollars
The sale price is 44 dollars
Step-by-step explanation:
First find the discount by multiplying the original price by the discount rate
80*45%
Change to decimal form
80*.45
36
The discount is 36 dollars
The sale price is the original price minus the discount
80-36
44
The sale price is 44 dollars
find the value of x that makes abcd a parallelogram
The 4 angles need to add to 360.
2 of them are 70
The other two need to equal 360-140 = 220
They are both the same so one angle needs to equal 220/2 = 110
Now find x:
X + 60 = 110
Subtract 60 from both sides:
X = 50. The answer is D
Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. 27% of the possible Z values are greater than _____________.
Answer:
27% of the possible Z values are greater than 0.613
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 0, \sigma = 1[/tex]
27% of the possible Z values are greater than
The 100 - 27 = 73rd percentile, which is X when Z has a pvalue of 0.73. So X when the z-score is 0.613.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.613 = \frac{X - 0}{1}[/tex]
[tex]X = 0.613[/tex]
27% of the possible Z values are greater than 0.613
BÉ is an angle bisector of ZABC.
If mŁABE = 2x + 20 and mZEBC = 4x - 6,
determine the value of x.
B.
x = [? ]
how many are 4 x 4 ?
A concert promoter sells tickets and has a marginal-profit function given below, where Upper P prime (x )is in dollars per ticket. This means that the rate of change of total profit with respect to the number of tickets sold, x, is Upper P prime (x ). Find the total profit from the sale of the first 480 tickets, disregarding any fixed costs.
Answer:
09
Step-by-step explanation:
Suppose Gabe, an elementary school student, has just finished dinner with his mother, Judy. Eyeing the nearby cookie jar, Gabe asks his mother if he can have a cookie for dessert. She tells Gabe that she needs to check his backpack to make sure k. Gabe cannot remember where he left his backpack, but he knows for sure that he did not complete his bomework and will not be alowed to cat a cookie. Gabe believes his only option is to quickly steal a cookie while his mother is out of the room. Judy then leanves the room to look for Gabe's backpack. Assome that Judy could return at any time in the next 90 seconds with equal probability, For the first 40 seconds, Gabe sheepishly wonders if he will get caught rying to grab a nearby cookie. After waiting and not secing his mother, Gabe decides that he needs a cookie and begins to take one from the jar Assuming it takes Gabe 30 seconds to grab a cookie from the jar and devour it without a trace, what is the probability that his mother returns in time to catch Gabe stealing a cookie?
Answer:
0.56
Step-by-step explanation:
What is the probability that his mother returns just in time to catch Gabe stealing a cookie?
The probability of this is the same as 1 minus the probability that Gabe is NOT caught.
- Judy could return at anytime in the next 90 seconds
- Gabe spends the first 40 seconds pondering... time wasted=40secs
- It takes 30 seconds (out of the remaining 50secs) to finish eating a cookie without a trace
- The question says that Gabe was going to do it, so he probably did
Now we're looking for the probability that he gets caught. That is, probability that he does not "successfully" complete the 30secs task within the remaining 50secs.
Remember that each second has an equal probability of being the second that Judy comes back in. The latter of the 90 seconds does not carry a higher probability!
So the probability of catching Gabe (despite the 30secs it takes to complete his task) is 50/90 which is equal to 0.56
Determine f(-1) (3). Use the following table of values
Answer:
-5
Step-by-step explanation:
The value of x that gives f(x) = 3 is -5.
[tex]f^{-1}(3)=-5[/tex]
Sean has some candy bars that he wants to give away. He is going to give each person 1/18 of a bar, and he has 2 3/4 to give away How many people will get candy? PLS HELP MEEE
Answer:
49 people
Step-by-step explanation:
Take the amount of candy and divide by the amount in a serving
2 3/4 ÷ 1/18
Change to an improper fraction
(4*2+3)/4 ÷ 1 /18
11/4 ÷ 1/18
Copy dot flip
11/4 * 18/1
198/4
49.5
Round down since people do not want half a serving
49 people
Answer: 2 29/36
Step-by-step explanation:
Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations.
Coefficients Standard Error
Constant 12.924 4.425
x1 -3.682 2.630
x2 45.216 12.560
Analysis of Variance
Source of Degrees of Sum of Mean
Variation Freedom Squares Square F
Regression 4853 2426.5
Error 485.3
We want to test whether the variable x1 is significant. The critical value obtained from ttable at the 1% level is:_______.
1. ±2.650.
2. ±2.921.
3. ± 2.977.
4. ± 3.012.
Answer:
4. ± 3.012
Step-by-step explanation:
Hello!
Assuming that for both variables X₁ and X₂ n₁= n₂ = 16
You need to test at 1% if the variable is significant, this means, if the slope for X₁ is different from zero (β₁≠0) using the t-statistic and the critical value approach.
The hypotheses are:
H₀: β₁= 0
H₁: β₁≠ 0
α: 0.01
[tex]t= \frac{b_1-\beta_1}{Sb_1} ~t_{n_1-3}[/tex]
The degrees of freedom "n₁-3" are determined by the number of parameters that you estimate for the multiple regression, in this case there are three "β₁" "β₂" and "δ²e"
The rejection region for this test is two-tailed, the critical values are:
±[tex]t_{n-3;1-\alpha /2}= t_{13;0.995}= 3.012[/tex]
I hope this helps!