Answer:
y = [tex]\frac{1}{2}x+8[/tex]
Step-by-step explanation:
From the table given in the picture,
Two points lying on the graph are (-4, 6) and (-2, 7)
Let the linear function is,
y = mx + b
Here, m = slope of the line
b = y-intercept
Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (-4, 6) and (-2, 7) will be,
m = [tex]\frac{7-6}{-2+4}[/tex]
m = [tex]\frac{1}{2}[/tex]
y-intercept is a point for which x = 0
From the given table,
For x = 0, y = 8
Therefore, y-intercept (b) = 8
Equation of the linear function will be,
y = [tex]\frac{1}{2}x+8[/tex]
1. A chess set has 32 pieces, 16 black and 16 white. In each color, there
are 8 pawns, 2 rooks, 2 Knights, 2 bishops, 1 queen and 1 king.
a. Find the probability that a piece selected at random is a white rook.
Explain how you found your answer.
b. How many ways can you choose one white piece and one black
piece? Explain how you found your answer.
c. How many ways can you choose 3 pieces from the 4 kings and
queens (black king, white king, black queen, white queen) to place
on 3 specific spaces on the chessboard? Is this a permutation or a
combination? Explain.
I REALLY NEED HELP WITH THESE AND FAST.
Answer:
I believe the answer is A.
Step-by-step explanation:
I don't really know how to really explain it tho
a. The probability that a piece selected at random is a white rook is 1/16.
b. 256 ways can you choose one white piece and one black piece.
c. 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.
Given that, a chess set has 32 pieces, 16 black and 16 white. In each colour, there are 8 pawns, 2 rooks, 2 knights, 2 bishops, 1 queen and 1 king.
What is the formula to find the probability of an event?The formula to find the probability of an event is P(E)=Number of favourable outcomes/Total number of outcomes.
a. The probability that a piece selected at random is a white rook
=2/32=1/16
Therefore, the probability that a piece selected at random is a white rook is 1/16.
b. Number of ways can you choose one white piece and one black
piece=16×16=256
Each white piece can go with a black piece 16 times and the same the other way.
Hence, 256 ways can you choose one white piece and one black piece.
c. nPr=P(4,3)=4!/3=24/3=8 ways.
Hence, 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.
This is a permutation.
a. The probability that a piece selected at random is a white rook is 1/16.
b. 256 ways can you choose one white piece and one black piece.
c. 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.
To learn more about the permutation visit:
https://brainly.com/question/1216161.
#SPJ2
Which is 4 logx- 2 log(x-3) written as a single logarithm?
Answer:it’s C
Step-by-step explanation:
That’s the answer on edge
Find the 8th term of the geometric sequence show below
Answer:
Alli khanaw .................
Answer:
8x^36
Step-by-step explanation:
first term (a) = [tex]8x^{8}[/tex]
Second term (t2)= [tex]8x^{12}[/tex]
common ratio (r)
= [tex]\frac{8x^{12} }{8x^{8} }[/tex]
= [tex]x^{4}[/tex]
now the 8th term of the G.S is
t8 = [tex]ar^{n-1}[/tex]
= [tex]8x^8 * (x^4)^8^-^1[/tex]
= [tex]8x^8 * (x^4)^7\\[/tex]
= [tex]8x^8 *x^2^8\\= 8x^3^6[/tex]
hope it will help
Will give brainliest
Answer: Because the question uses the word “distinct” meaning obvious, and clear, I would select AB, AC, CB. (If it’s asking for all the possible line segments, I would select AB, AC, CB, BA, CA, BC).
Through extensive data collection, quality control experts have verified that the true mean weight of a wrapped Starburst candy is 5.1 grams, as advertised on the package. However, in a class activity where you selected and weighed 8 wrapped Starburst candies you obtained a p-value of 0.003 and concluded that the true mean weight of Starburst candies is not as advertised. What type of error was potentially made in this hypothesis test
Answer:
Type 1 error.
Step-by-step explanation:
H0 : μ = 5.1
H1 : μ ≠ 5.1
The Pvalue of the test = 0.003
Decision made by the researcher was conclude that mean weight is not as advertised, that is the researcher rejected the Null hypothesis.
However, when the Pvalue is < α - value , we reject the null ; The type of error the researcher could have made is that ; The mean weight may be truly as advertised, Hence, leading us to make a false positive error, thus is rejecting a true null. This is a TYPE 1 error.
Question 1 of 12
Points X(6,8), Y3, 3), and 213, -3) form a triangle. What is the area of AXYZ?
(8.3 points)
A. 76 units?
B. 110 units2
C. 34 units
D. 68 units?
Answer:
answer b
Step-by-step explanation:
I definitely did it;)
If I went to the store and purchased a
T-shirt for $10 and jeans for $25, what
was my total expense at the store? Explain
how you got your total.
Can i get help with this math problem please? Thanks.
Answer:
(x+3), (y+9)
Step-by-step explanation:
Adding to x with translate the figure right (subtracting will translate it left), and adding to y will translate it up (subtracting will translate it down).
To get from a point on [tex]y[/tex] to the corresponding point on [tex]y_{1}[/tex], you would move 3 to the right and 9 up, so it would be (x+3), (y+9)
the circumference of a circle is
Answer:
Step-by-step explanation:
the formula for circumference of a circle is 2 x pi x r(radius).
Answer:
The circumference of a circle is pretty much just the perimeter of the circle Step-by-step explanation:
A 30-ounce box of cereal contains 12 servings.
Which value represents the unit rate in this scenario?
O A. 0.4 ounces/serving
O B. 2.5 ounces/serving
O c. 6 ounces/serving
O D. 18 ounces/serving
Answer:
tha answer is B
Step-by-step explanation:
The line passes through the point (-4,1) and is perpendicular to the line y=1/2x-4.
Answer:
y=-2x-7
Step-by-step explanation:
lines are typically written in y=mx+b form, where m is the slope and b is the y intercept
we are given the line y=1/2x-4
perpendicular lines are negative and reciprocal; if the slopes are multiplied together, the result is -1
so to find the slope of the new line, use this formula:
1/2m=-1
multiply by 2
m=-2
so the slope is -2
here's the equation so far, written in y=mx+b form
y=-2x+b
we need to find b
because the line passes through the point (-4,1), we can use it to solve for b
substiute -4 as x and 1 as y
1=-2(-4)+b
1=8+b
-7=b
so b is -7
therefore the line is:
y=-2x-7
Hope this helps! :D
PLEASE HELPPPP!
what is the perimeter of the triangle?
what is the area or the triangle?
Answer:
Step-by-step explanation:
Answer:
Area = 7
Perimeter = 21 m
Step-by-step explanation:
Remark
The perimeter is just the sum of the three sides of the triangle.
The Area is the base * height /2
Givens
Perimeter: Three sides: 5 + 7 + 9
height: 2 meters
Formula
Area = 1/2 Base * Height
Area = 1/2 7 * 2
Note:
Just so you know the height should be almost 5. 2 is an impossible amount for the height.
Area = 1/2 * 7 * 2
Area = 7 m^2
Perimeter = 5 + 7 + 9
Perimeter = 21
A fire truck pulls up to a burning building with a person trapped at the 4th floor window which is 45 ft off the ground. The truck is parked 9 ft away from the building to give the firefighters and police room to work on the ground. The base of the ladder is 5 ft off the ground already because it is sitting up on the truck. If it takes 2 seconds to extend the ladder one foot, how long will it take the firefighters to extend the ladder to the window?
Answer:
108 seconds i belive
Step-by-step explanation:
40 x 2 = 80 seconds and if you add the 9ft 108 seconds
James's T-shirt business uses the demand function P=-Q+ 31 and the
supply function P= Q- 17. According to these functions, what will the
equilibrium point (P, Q) be for James's T-shirt business?
A. (24,7)
B. (17, 31)
C. (31,73)
D. (7.24)
Answer:
7.24
Step-by-step explanation:
i did the quiz and have a great day
Rewrite 2+(1/b-2) = (3b/b+2) as a proportion. Which of these proportions is equivalent to the original equation?
A. (3/b-2) = (3b/b+2)
B. (2b+3/b-2) = (3b/b+2)
C. (2b-3/b-2) = (3b/b+2)
and asking 2nd part question and answer. thx
Answer:
C for the first one
1,6 for the second
Neither for the third
Step-by-step explanation: EDGE 2021
Answer:
The first Question is C
Question 2 is 1,6
Question 3 is Neither
Step-by-step explanation:
trust me I took the quiz
pls help asap ill give brainliest
Answer:
Third one
Step-by-step explanation:
40 POINTS!!!
Two construction companies are building homes in a new neighborhood. Company A has built 18 homes and plans to build an additional 6 homes each month. Company B has built 41 homes and plans to build an additional 4 homes each month. if building goes according to their plans, in how many months will the total number of homes built by the companies be equal to each other?
Answer:
14 months until there equal
Answer:
14 months
Step-by-step explanation:
17. Find the surface area of the sphere in terms of pi. 7 yd
Find the surface area of the sphere in terms of π 7 yd.
Solution:-We know,
[tex] \dag [/tex] Formula of Surface area of the sphere is 4πr².
Radius (r) = 7 yd (Given)
Now,
Surface area of the sphere = 4 × π × (7)²
Surface area of the sphere = 4 × π × 7 × 7
Surface area of the sphere = 196π sq. yd.
The surface area of the sphere is 196 sq. yd. [Answer]Solve this system of equations using the substitution method y=5x+4 x+12=y
Answer:
(2,14)
Step-by-step explanation:
Since y=5x+4, you can plug that into the other y in the other equation which would give you x+12=5x+4
Now subtract 12 from both sides
x=5x-8
Subtract 5x from both sides
-4x=-8
Now you divide them both by -4 which gives you x=2
Now plug x in to any of the equations
y=5(2)+4
y=10+4
y=14
Your final answer is (2,14)
numbers greater than 10 from 1 to 15
bro just count?????? 11, 12, 13, 14, 15??????
Answer:
11,12,13,14,15
Step-by-step explanation:
The number scale goes like this 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 so look at the numbers in between 10 and 15 except dont count in ten because they have to be greater the 10. so therefor 11,12,13,14,15 :)
How many solutions dose x+y=10 x+y=12
Answer:
There are infinite solutions.
Think about it. The equation says essentially:
12 + any number = 12 + any number.
y + 12 = y + 10 + 2
y + 12 = y + 12
y - y = 12 - 12
0 = 12 - 12
0 = 0
Step-by-step explanation:
Giving brainliest!!!!!!
Answer:
The volume of the composite figure is approximately 434.041 cubic centimeters.
Step-by-step explanation:
The volume of the composite figure ([tex]V[/tex]), in cubic centimeters, is the sum of the volumes of the cuboid ([tex]V_{c}[/tex]), in cubic centimeters, and hemisphere ([tex]V_{h}[/tex]), in cubic centimeters, that is:
[tex]V = V_{c} + V_{h}[/tex] (1)
[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex] (2)
Where:
[tex]w[/tex] - Width, in centimeters.
[tex]h[/tex] - Height, in centimeters.
[tex]l[/tex] - Length, in centimeters.
[tex]R[/tex] - Radius, in centimeters.
If we know that [tex]w = 10\,cm[/tex], [tex]h = 6\,cm[/tex], [tex]l = 5\,cm[/tex] and [tex]R = 4\,cm[/tex], then the volume of the composite figure is:
[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex]
[tex]V = (10\,cm)\cdot (6\,cm)\cdot (5\,cm) + \frac{2\pi}{3}\cdot (4\,cm)^{3}[/tex]
[tex]V \approx 434.041\,cm^{3}[/tex]
The volume of the composite figure is approximately 434.041 cubic centimeters.
HELP ME PLEASEEEEEEEEE
Answer:
11 units
Step-by-step explanation:
Just count the square or units in between the 2 points and there are 11 units in between them
Multiplying and simplify radicals!!
If u get it right I’ll give brainliest! (show work please)
Answer:
sorry, i couldn't show my work down below is a picture of the the answer tho Gomen
Step-by-step explanation:
Answer:
-30
Step-by-step explanation:
-3[tex]\sqrt{10}[/tex]*[tex]\sqrt{10}[/tex]=-3[tex]\sqrt{10}^2[/tex]=-3*10=-30
A recent survey reported that small businesses spend 24 hours a week marketing their business. A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing. The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week. Assuming that the population standard deviation is 5.5 hours, is there sufficient evidence to support the chamber of commerce’s claim at the 0.02 level of significance?
Step 1 of 3 :
State the null and alternative hypotheses for the test. Fill in the blank below.
H0: μ=24
Ha: μ ____ 24
Step 2 of 3:
What is the test statistic?
Step 3 of 3:
Do we reject the null hypothesis? Is there sufficient or insufficient evidence?
Answer:
Ha: μ < 24
The test statistic is z = -1.75.
The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.
Step-by-step explanation:
A recent survey reported that small businesses spend 24 hours a week marketing their business.
This means that the null hypothesis is:
[tex]H_0: \mu = 24[/tex]
A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing.
This means that the alternate hypothesis is:
[tex]H_a: \mu < 24[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
24 is tested at the null hypothesis:
This means that [tex]\mu = 24[/tex]
The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week.
This means that [tex]n = 93, X = 23[/tex]
The population standard deviation is 5.5 hours
This means that [tex]\sigma = 5.5[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{23 - 24}{\frac{5.5}{\sqrt{93}}}[/tex]
[tex]z = -1.75[/tex]
The test statistic is z = -1.75.
Do we reject the null hypothesis? Is there sufficient or insufficient evidence?
The pvalue of the test is the probability of finding a sample mean below 23, which is the pvalue of z = -1.75.
Looking at the z table, z = -1.75 has a pvalue of 0.0401
The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.
When two six-sided dice
are rolled, the set of outcomes is shown in the table below. Each particular combination of results for the light and dark colored dice is equally-likely to occur if the dice are "fair".
If two dice are rolled, what is the probability that the second die shows a number less than the first die?
Answer:
B
Step-by-step explanation:
For a quadratic equation where: 2++=0
a
x
2
+
b
x
+
c
=
0
Where: 2−4<0
b
2
−
4
a
c
<
0
How many solutions do you have?
State whether the solutions are rational, irrational, or non-real. Explain why.
Answer: No real solution
Step-by-step explanation:
Given
For the quadratic equation
[tex]ax^2+bx+c=0[/tex]
It is given that [tex]b^2-4ac<0[/tex]
[tex]D=b^2-4ac[/tex]
If [tex]D=0[/tex] roots are real and equal
If [tex]D>0[/tex] roots are real and distinct
If [tex]D<0[/tex] roots are imaginary
In this case, [tex]D<0[/tex]
So, there is no real solution for the given quadratic equation.
How many integers are there from 1,000 through 9,999? (b) How many odd integers are there from 1,000 through 9,999? (c) How many integers from 1,000 through 9,999 have distinct digits? (d) How many odd integers from 1,000 through 9,999 have distinct digits? (e) What is the probability that a randomly chosen four-digit integer has distinct digits? What is the probability that a randomly chosen four-digit integer has distinct digits and is odd?
Answer:
(a) [tex]Total= 9000[/tex]
(b) [tex]Total = 4500[/tex]
(c) [tex]Total = 4536[/tex]
(d) [tex]Total = 2240[/tex]
(e) [tex]Pr = 0.5040[/tex] --- Probability of distinct digits
[tex]Pr = 0.2489[/tex] --- Probability of odd distinct digits
Step-by-step explanation:
Solving (a): Integers from 1000 to 9999
To do this, we simply add 1 to the range.
i.e.
[tex]Total= Range +1[/tex]
Range is the difference between the given interval.
[tex]Total= 9999 - 1000 +1[/tex]
[tex]Total= 9000[/tex]
Solving (b): Odd integers
This implies that the last digit must be any of 1, 3, 5, 7 and 9 (i.e. 5 digits)
The first digit can not be 0 (i.e any of the remaining 9 digits)
There is no restriction to other digits
Numbers from 1000 to 9999 are 4 digits, so the possible selection are:
[tex]First= 9\\Second = 10\\Third = 10\\Last = 5[/tex]
Total selection is:
[tex]Total = 9 * 10 * 10 * 5[/tex]
[tex]Total = 4500[/tex]
Solving (c): Distinct digits
This implies that all 4 digits are different and the first can not be 0.
So, we have:
[tex]First = 9[/tex] i.e. (1 - 9)
[tex]Second = 9[/tex] i.e. (0 - 9) minus the first digit
[tex]Third = 8[/tex]
[tex]Fourth = 7[/tex]
Total selection is:
[tex]Total = 9*9*8*7[/tex]
[tex]Total = 4536[/tex]
Solving (d): Odd digits that are distinct
This implies that the last digit must be any of 1, 3, 5, 7 and 9 (i.e. 5 digits)
The first digit can not be 0 and must be different from the last (i.e 8 digits)
The second digit must be different from the first and the last(i.e. 8 digits)
The third digit must be different from the three other digits (i.e. 7 digits)
So,
[tex]Total = 5 * 8 * 8 * 7[/tex]
[tex]Total = 2240[/tex]
Solving (e): Probability that a number is distinct
In (a), total possible digits is 9000
In (c), total distints are 4536
So, the probability is:
[tex]Pr = \frac{4536}{9000}[/tex]
[tex]Pr = 0.5040[/tex]
In (d), total odd distinct digits are 2240
So, the probability is:
[tex]Pr = \frac{2240}{9000}[/tex]
[tex]Pr = 0.2489[/tex]
Marking as brainliest
So basically I need u to in ur on words for the reasoning to explain to me how I got my answer. An the answer is in the second box I circled it btw this is 9th grade algebra!
you knew that it had to be a total of $60.60 and that the flat cost of the plan is $48. so you subtracted the flat cost from the total cost to get the amount that could be spent on gigabytes of data. since you knew that the gigabytes cost $3 each, you divided the remaining budget (12.60) by $3 and got the number of gigabytes that she can get.
sorry if that's confusing or wordy! hope it helps!
Will give brainliest
Answer:
31.6%
6.67%
14.3%
Step-by-step explanation: