Answer:
y = -x-5
Step-by-step explanation:
slope of the line is =(-20+10) / (15-5) = -10/10 = -1
Now equation of line is y+10=(-1)(x-5)
i.e. y+10= -x +5
i.e y = -x-5
Answer:
y = -x - 5.
Step-by-step explanation:
The slope of the line is (-20-(-10) /(15-5)
= -10/10 = -1.
Now use the point slope form of a straight line:
y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.
So we have:
y - (-10) = -1(x - 5)
y + 10 = -x + 5
y = -x + 5 - 10
y = -x - 5.
Suppose a fair six sided die has been relabeled so that the 6 is replaced with another 5,i.e., the sides read 1,2,3,4,5,5. If the die is rolled five times, what is the probability that we roll five distinct values
Answer:
P(rolling five distinct values) = 1/3888
Step-by-step explanation:
We are told that I the fair sided dice, 6 is replaced with 5.
Thus,the numbers are now;
1,2,3,4,5,5.
This means a total of 6 possible numbers appearing.
Now, in these 6 numbers there are only 5 distinct numbers since 5 occurs twice.
P(1) = 1/6
P(2) = 1/6
P(3) = 1/6
P(4) = 1/6
P(5) = 2/6
Thus,probability of rolling 5 distinct values = 1/6 × 1/6 × 1/6 × 1/6 × 2/6 = 1/3888
Find the value of x that makes m || n
Answer:
x = 133
Step-by-step explanation:
x + 14 = 147
x (+ 14 - 14) = 147 - 14
x = 133
solve the equation
f(x)=13⋅6x for x = 2
Need help answering pls
Answer:
Step-by-step explanation:
angle 2 and angle 3 are complementary angle because their sum is 90 degree as they are perpendicular.
Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that your class charges for each box of seeds. The equation p= -0.5x2 + 36x - 231 models the profit of the fundraiser. What's the smallest amount, in dollars, that you can charge and make a profit of at least $363?
Answer:
The least amount is $75.50
Step-by-step explanation:
Given
[tex]p \to profit[/tex]
[tex]x \to amount[/tex]
[tex]p = -0.5x^2 + 36x - 231[/tex]
Required
The smallest amount to make at least 363
We have:
[tex]p = -0.5x^2 + 36x - 231[/tex]
Rewrite as:
[tex]-0.5x^2 + 36x - 231=p[/tex]
Substitute 363 for p
[tex]-0.5x^2 + 36x - 231 = 363[/tex]
Collect like terms
[tex]-0.5x^2 + 36x - 231 + 363 = 0[/tex]
[tex]-0.5x^2 + 36x + 132 = 0[/tex]
Using quadratic formula, we have:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where:
[tex]a = -0.5; b= 36; c = 132[/tex]
So, we have:
[tex]x = \frac{-36 \± \sqrt{36^2 - 4*-0.5*132}}{2*-0.5}[/tex]
[tex]x = \frac{-36 \± \sqrt{1560}}{-1}[/tex]
[tex]x = \frac{-36 \± 39.50}{-1}[/tex]
Split
[tex]x = \frac{-36 + 39.50}{-1}; x = \frac{-36 - 39.50}{-1}[/tex]
[tex]x = \frac{3.50}{-1}; x = \frac{-75.50}{-1}[/tex]
[tex]x = 75.50[/tex] and [tex]x = -3.50[/tex]
The amount can't be negative.
So:
[tex]x = 75.50[/tex]
Hence, the least amount is $75.50
You fllp a fair coln 7 times in a row. Let X be the number of heads that come up. Which of the following cannot be a
possible value of X?
2
0
7
16
Answer:
16
Step-by-step explanation:
Given
A coin
[tex]n = 7[/tex] --- Number of flips
[tex]x \to heads[/tex]
Required
Which can't be the value of x
From the question, we understand that the coin was flipped 7 times.
This means that, the highest occurrence of head is:
[tex]x = 7[/tex]
And the list is:
[tex]x = 0[/tex]
So, the range of x is:
[tex]x = \{0,1,2,....,7\}[/tex]
In the above range, only (16) is out of range.
Hence:
[tex]x \ne 16[/tex] --- Number of heads can't be 16
Given the set of data find the Mean. 4, 5, 6, 12, 12, 12, 14, 16, 22, 23, 28, 28 (round to one decimal place
Answer:
15.2
Step-by-step explanation:
mean=average
to find the mean, add up all of the numbers and divide by the # of numbers that there are
4+5+6+12+12+12+14+16+22+23+28+28=182
182/12=15.2
Answer:
11.3 to 1DP.
Step-by-step explanation:
The mean = sum of the numbers / 12.
= 136/12
= 11.333
Three coffees and two muffins cost a total of 7 dollars. Two coffees and four muffins cost a total of 8 dollars. What is the individual price for a single coffee and a single muffin?
Answer:
Cost of a coffee = $1.5
Cost of a muffin = $1.25
Step-by-step explanation:
Given:
Cost of 3 coffee and 2 muffins = $7
Cost of 2 coffee and 4 muffins = $8
Find:
Cost of each
Computation:
Assume;
Cost of a coffee = a
Cost of a muffin = b
So,
3a + 2b = 7 .......... Eq1
2a + 4b = 8 .......... Eq2
Eq1 x 2
6a + 4b = 14 ......... Eq3
From Eq3 - Eq2
4a = 6
a = 1.5
Cost of a coffee = $1.5
3a + 2b = 7
3(1.5) + 2b = 7
4.5 + 2b = 7
b = 2.5/2
b = 1.25
Cost of a muffin = $1.25
The equation $x + {y = 2 can be rewritten in a form that reveals the y-intercept of the graph of the equatior
Drag numbers to complete the equation that is equivalent to $x + žy = 2 and show the value of the y-intercept
Answer:
[tex]y = \frac{2}{z} - \frac{x}{z}[/tex]
Step-by-step explanation:
Given
[tex]x + zy = 2[/tex]
Required
Rewrite to show y-intercept
We have: [tex]x + zy = 2[/tex]
Subtract x from both sides
[tex]zy = 2-x[/tex]
Divide both sides by z
[tex]y = \frac{2}{z} - \frac{x}{z}[/tex]
The y intercet is: [tex]\frac{2}{z}[/tex]
What is the value of
(x3 x 7y÷)(10.6+5.4)for x=2 and y=6?
Step-by-step explanation:
Hope you can correct you question
does anyone know this?
Answer:80^w2−48
Step-by-step explanation:
Answer:
If You Factor it it will be (w+8) (5w2-3)
Step-by-step explanation:
what is the area of
Answer:
7 * 9 = 63
63 for when both of the triangles are combined, 31.5 for one triangle.
Rectangle = 18 * 22 = 396
396 + 63
459 cm^2
Simplify (4a to the fifth power b to the sixth power) to the fourth power
Answer:
(4a^5b^6)^4 = 256a^20b^24
Step-by-step explanation:
Do girls read more than boys during the summer? Serena's class asked
30 parents to estimate how many pages their child read over the summer. They
collected the following data.
Girls: 10 30 230 130 110 240 150 260 60 230 100 20 50 160 90 pages
Boys: 210 100 0 40 260 240 200 220 190 150 50 100 12 140 40 pages
Make parallel box plots and compare the center, shape, spread, and outliers.
b. Do girls read more? How many IQRs more do they read? Use the box
plots to estimate.
a.
Answer:
Step-by-step explanation:
I dont know how to do the box thing, but I added all the things and boys read more.
girls:1870
boys:1952
The diffrence (when subracting) is 82
Anyone know this answer
Answer:
Step-by-step explanation:
1 is 60 2 i 60 and 3 is 61 ;)
What is the equation of the curve that best fits the data? Round to the nearest hundredths, when appropriate. picture*
Answer:
.....
Step-by-step explanation:
Up and down
Which of the following best represents the slope of the line? A. -3 B. - 1 3 C. 1 3 D. 3
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 6 = 472, find sin .
[?]
sin 0:
O
Simplify the fraction.
Answer:
[tex]sin(\theta) = \frac{\sqrt{17} }{7}[/tex]
Step-by-step explanation:
We know that:
sin(x)^2 + cos(x)^2 = 1
And we know that:
[tex]cos(\theta) = \frac{4\sqrt{2}}{7} }[/tex]
We want to find the value of the sine function evaluated in theta.
If we replace that in the first equation, we get:
[tex]sin(\theta)^2 + cos(\theta)^2 = 1[/tex]
[tex]sin(\theta)^2 + (\frac{4*\sqrt{2} }{7}) ^2 = 1[/tex]
[tex]sin(\theta)^2 + (\frac{4^2*\sqrt{2}^2 }{7^2}) = 1[/tex]
[tex]sin(\theta)^2 + (\frac{16*2 }{49}) = 1[/tex]
Now we can just isolate the sine part of that equation, so we get:
[tex]sin(\theta)^2 = - (\frac{16*2 }{49}) + 1 = \frac{-32}{49} + \frac{49}{49} = \frac{-32 + 49}{49} = \frac{17}{49}[/tex]
[tex]sin(\theta) = \sqrt{\frac{17}{49} } = \frac{\sqrt{17} }{\sqrt{49} } = \frac{\sqrt{17} }{7}[/tex]
(We can't simplify the fraction anymore)
A well-conducted opinion poll showed that 48% of voters surveyed favored the reelection of Congressman Porkbarrel. The people who conducted the survey reported that the poll had a margin of error of 3.5%. Which of the following best describes this statement
A. Based on the procedure by which this figure was generated, it is likely that the population proportion is between 44.5% and 51.5%.
B. About 3.5% of the people polled are likely to change their minds about who they will vote foir.
C. Between 44.5% and 51.5% of the voters will vote for Congressman Porkbarrel.
D. About 3.5% ofthe people interviewed refused to answer the question.
E. The probability is .48 that Congressman Porkbarrel will be reelected.
Answer:
A. Based on the procedure by which this figure was generated, it is likely that the population proportion is between 44.5% and 51.5%.
Step-by-step explanation:
Confidence interval:
We build a confidence interval from a sample proportion, to get an estimate of where the population proportion should likely be.
48% of voters surveyed favored the reelection of Congressman Porkbarrel, with a margin of error of 3.5%.
48 - 3.5 = 44.5%.
48 + 3.5 = 51.5%.
Following the concept of a confidence interval, the population proportion is likely to be between 44.5% and 51.5%, and thus, the correct answer is given by option A.
solve for k. 6 = -3(k - 10)
Answer: k = 8
Step-by-step explanation:
-3k + 30 = 6
-3k = -24
k = 8
Answer:
k = 8
Step-by-step explanation:
6 = -3(k - 10)
Divide each side by -3
6/-3 = -3/-3 *(k - 10)
-2 = k-10
Add 10 to each side
-2+10 = k-10+10
8 = k
what is the solution set for this inequalty? -8x + 40> -16
Answer:
x < 7
Step-by-step explanation:
-8x + 40> -16
Subtract 40 from each side
-8x + 40-40> -16-40
-8x >-56
Divide each side by -8, remembering to flip the inequality
-8x/-8 < -56/-8
x < 7
This is a 4th grade level
Ethan puts $1200 into a Certificate of Deposit (CD) account that earns 2.1% interest each year. What will be the interest of the CD account earned after 5 years? Round to the nearest cent (hundredths place).
Answer:
126
Step-by-step explanation:
1200 x .021=25.20 interest per year
25.20x5=126
assumes no compounding
determine the term 6 generated by the rule TN is equals to n squared minus n and over 2
Given:
Consider the rule of a sequence is:
[tex]T_n=\dfrac{n^2-n}{2}[/tex]
To find:
The 6th term generated by the given rule.
Solution:
We have,
[tex]T_n=\dfrac{n^2-n}{2}[/tex]
Substituting [tex]n=6[/tex] in the above rule, we get
[tex]T_6=\dfrac{6^2-6}{2}[/tex]
[tex]T_6=\dfrac{36-6}{2}[/tex]
[tex]T_6=\dfrac{30}{2}[/tex]
[tex]T_6=15[/tex]
Therefore, the 6th term generated by the given rule is 15.
Brianne earns $20 for 4 hours of babysitting. Which graph shows the relationship between the number of hours and the total amount she earns?
Answer:
Can you insert a picture? and then I could help you.
Step-by-step explanation:
Answer:
Brianne would earn 5 dollars an hour so the graph should look something like this.
How do i solve this please help
Answer:
48
Step-by-step explanation:
138-90(right angled triangle)=48
Doug invests in his company's retirement system by depositing $2400 into an account that pays 8% interest compounded quarterly. Approximately how long will Doug need to leave his money in the account for it to have a balance of $25,000? A) 30 years B) 29.6 years C) 29.3 years D) 0.5 year
For an angle to be in standard position, its vertex is at the origin and the initial side lies on the
A) positive y-axis. B) positive x-axis. C) negative x-axis. D) negative x-axis.
Answer:
B) positive x-axis.
Step-by-step explanation:
angle to be in standard position, its vertex is at the origin and the initial side lies along the positive x axis
Answer:
Positive x axis
Step-by-step explanation:
The angle lies in standard position means it begins from Q1
The first side must be x axis
Then in Q1 x>0 so it's positive x axis
Answer for brainlest
Answer:
∠1 = ∠8
Step-by-step explanation:
Because they are ALTERNATE EXTERIOR ANGLE
Answer:
∠1 = ∠8
Step-by-step explanation:
Because alternate exterior angles are equal.
Also there is no angle given so you cant work them out.
simply put:
∠1 = ∠8
∠1 = ∠4
∠3 = ∠2
∠1 = ∠5
∠2 = ∠6
∠2 = ∠7
∠5 = ∠8
∠4 = ∠8
∠7 = ∠6
∠7 = ∠3
Let me know if I missed out on anymore! It was long that's why.
Hope this kind of explained it :)
find x and y. For one point extra credit each, give the correct name for point P.
Answer:
where is the question?
Step-by-step explanation:
Twice a number is 14. What is the number
Answer:
7
Step-by-step explanation:
Divide 14 by 2