Answer:
y = 2x + 3
Step-by-step explanation:
Slope- intercept form: y = mx + b
y - 3 = 2x
y = 2x + 3
find the area or this triangle
Answer:
Area of triangle = 15 square units
Step-by-step explanation:
We need to find area of the triangle, given the vertices:
A=(4,0)
B=(1,5)
C=(7,5)
The formula used is: [tex]Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))[/tex]
We have: [tex]x_1 =4, y_1 =0, x_2 =1, y_2=5, x_3=7 , y_3=5[/tex]
Putting values and finding area
[tex]Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))\\Area\:of\:triangle=\frac{1}{2}(4(5-5)+1(5-0)+7(0-5))\\Area\:of\:triangle=\frac{1}{2}(4(0)+1(5)+7(-5))\\Area\:of\:triangle=\frac{1}{2}(0+5-35)\\Area\:of\:triangle=\frac{1}{2}(-30)\\Area\:of\:triangle=-15[/tex]
We will be ignoring negative sign, because area of triangle is positive.
So, Area of triangle = 15
A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from each size. Let X represent the shop's profit on a randomly selected pizza. Here's the probability distribution of X along with summary statistics:
Small Medium Large
X = profit ($) 4 8 12
P(X) 0.18 0.50 0.32
Mean: μX = $8.56
Standard deviation: σx =$2.77
The company is going to run a promotion where customers get $2 off any size pizza. Assume that the promotion will not change the probability that corresponds to each size. Let Y represent their profit on a randomly selected pizza with this promotion. What are the mean and standard deviation of Y?
Answer:
The mean and standard deviation of Y is $6.56 and $2.77 respectively.
Step-by-step explanation:
Consider the provided information.
Let Y represent their profit on a randomly selected pizza with this promotion.
The company is going to run a promotion where customers get $2 off any size pizza.
Therefore, [tex]Y=\text{Profit}-\$2[/tex]
[tex]Y=X-\$2[/tex]
So the mean will be reduced by 2.
[tex]\mu_Y=\mu_X-\$2[/tex]
[tex]\mu_Y =\$ 8.56 - \$2[/tex]
[tex]\mu_Y =\$6.56[/tex]
If we add or subtract any constant number from a given distribution, then the mean is changed by the same number(i.e constant number) but the standard deviation will remain the same.
Therefore [tex]\sigma_Y=\sigma_X=2.77[/tex]
Hence, the mean and standard deviation of Y is $6.56 and $2.77 respectively.
write the equation of the line for the following table of values.
x. -3 -5 -7 -9 -11
y. -16 -26 -36 -46 -56
Plz helppp 35 points:)
Answer:
We conclude that the equation of the line is:
[tex]y = 5x + 1[/tex]Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the data table
x -3 -5 -7 -9 -11
y -16 -26 -36 -46 -56
From the table taking two points
(-3, -16)(-5, -26)Determining the slope between (-3, -16) and (-5, -26)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)[/tex]
[tex]m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}[/tex]
[tex]m=5[/tex]
Thus, the slope of the line is: m = 5
substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation to determine the y-intercept b
[tex]y = mx+b[/tex]
-16 = 5(-3) + b
-16 = -15 + b
b = -16+15
b = 1
Thus, the y-intercept b = 1
now substituting m = 5 and b = 1 in the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
[tex]y = 5x + 1[/tex]
Therefore, we conclude that the equation of the line is:
[tex]y = 5x + 1[/tex]Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, there is a probability of 0.6 that he will make the basket. If he makes a basket, his confidence grows and the probability he makes the next shot increases by 0.05. If he misses the shot, the probability he makes the next one decreases by 0.05.
He takes 5 shots. What is the probability he makes at least 3 shots? (Hint: a tree diagram might be a helpful strategy)
Answer:
lol brainliest
Step-by-step explanation:
The probability that he makes at least 3 shots is P{E} = 0.15
What is a probability? Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
Given is that Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, there is a probability of 0.6 that he will make the basket. If he makes a basket, his confidence grows and the probability he makes the next shot increases by 0.05. If he misses the shot, the probability he makes the next one decreases by 0.05.
If he takes 5 shots, than the probability that he makes at least 3 shots is-
P{E} = 5 x 0.05 - 2 x 0.05
P{E} = 0.25 - 0.1
P{E} = 0.15
Therefore, the probability that he makes at least 3 shots is P{E} = 0.15.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
SPJ2
Which brand would Cala need more of to fertilize her 450-foot row of vegetables
Answer:
What do,you mean
Step-by-step explanation:
help please pleasdes
Answer: Triangle A'B'C is an enlargement of triangle ABC
Step-by-step explanation: When figuring out whether a dilation of a triangle is an enlargement or reduction, you see if the scale factor is larger or smaller than 1. If the scale factor is less than 1, it's a reduction. If the scale factor is larger than 1, it's an enlargement. 4/3 > 1 so this means the triangle gets bigger and is an enlargement. This means triangle A'B'C is an enlargement of triangle ABC.
Which of the following graphs represents a function?
9514 1404 393
Answer:
(a) see below
Step-by-step explanation:
The graph that has no two points one above the other is the graph of a function. That is the first of your attachments.
plzzzzzzzzz help
Volume of the following triangular prism is 960 cm3…
a) Determine the length of the base of the triangle.
b) Determine the area of the triangle.
help plz
Answer:
Step-by-step explanation:
a). By applying Pythagoras theorem in right triangle ABC,
AC² = AB² + BC²
20² = 16² + BC²
BC = [tex]\sqrt{400-256}[/tex]
= 12
Therefore, another leg of the triangular base = 12 cm
Area of the triangular base ABC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(16)(12)[/tex]
= 96 cm²
Volume of a triangular prism = Area of the triangular base × height
960 = 96 × b
b = 10 cm
b). Area of the triangle ABC = 96 cm²
Ivan has 6 times as many blue beads as red beads. he has 49 red and blue beads in all. how many blue beads does Ivan have
Answer:
Ivan has 42 blue beads.
Step-by-step explanation:
We need to find how many blue beads Ivan has.
Blue beads = 6 times as many as red beans
b = 6r
r + b = 49
r + (6r) = 49
7r = 49
Divide both sides by seven to isolate r
r = 7
b = 6(7)
b = 42
5) If f(x) = 3x + 4, for which value of x does f(x) = 22
Answer:
6
Step-by-step explanation:
22 = 3x+4
subtract 4 from both sides
18 = 3x
divide both sides by 3
6 = x
Factor 24x – 18 using the GCF
Answer:
24x – 18
6(4x-3)is required factor.
(21.) A writer earns $3400 a month. Last month she spent $204 on food.
What percent of her income was spent on food?
Answer: 6%
Step-by-step explanation:
3400's x%=204
(3400)x/100=204
34x=204
34x/34=204/34
I used my calculator to divide
x=6
So 6%
solve the equation. 7+3lnx=20
Answer:
Simplifying
7 + 3lnx = 15
Solving
7 + 3lnx = 15
Solving for variable 'l'.
Move all terms containing l to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 3lnx = 15 + -7
Combine like terms: 7 + -7 = 0
0 + 3lnx = 15 + -7
3lnx = 15 + -7
Combine like terms: 15 + -7 = 8
3lnx = 8
Divide each side by '3nx'.
l = 2.666666667n-1x-1
Simplifying
l = 2.666666667n-1x-1
Answer:
The answer for " X" would be,
[tex]x = \frac{13}{3in} [/tex]
The answer for "N" would be,
[tex]n = \frac{13}{3ix} [/tex]
The manager of a theater wants to know whether the majority of its patrons were adults or children. one day 5100 tickets were sold in the receipts totaled $22,210. The adult admission is $5.50, and the children’s admission is $3.50. How many adult patrons were there?
Answer:
x= 2,180
x= number of adult tickets sold
Step-by-step explanation:
First, we need to establish the system of equations:
x= number of adult tickets sold
y= number of children tickets sold
5.5x + 3.5y = 22,210
x + y = 5,100
Now, we isolate one variable in a formula and substitute its value in the other:
x= 5,100 - y
5.5*(5,100 - y) + 3.5y= 22,210
28,050 - 5.5y +3.5y = 22,210
2y= 5,840
y= 2,920
x= 5,100 - 2,920
x= 2,180
Need help ASAP swill mark Brainly
Answer:
B
Step-by-step explanation:
Hope it helps!
Answer:
-1 and 1/7
Step-by-step explanation:
hope this helps! have a great day!
Decide whether the two equations are equations are equivalent 7v-3/2=5 14v-3=15 sho work
Answer:
Not equivalent.
Step-by-step explanation:
The given equations are :
7v-3/2=5 ....(1)
14v-3=15 ....(2)
Taking equation (1) first,
7v-3/2=5
Adding 3/2 to both the sides.
7v-3/2+3/2=5+3/2
7v = 6.5
v = 0.928
Taking equation (2).
14v-3=15
Adding 3 to both sides.
14v-3+3=15+3
14v=18
v = 1.285
So, the values of v in both equations ar not the same. It means two equations are not equivalent.
8 + 3 × (4 ÷ 2) − 7
Step 1: 8 + 3 × 2 − 7
Step 2: 11 × 2 − 7
Step 3: 22 − 7
Step 4: 15
In which step does a mistake first appear?
Solve for the missing monomial F.
-27x3y - (-3x)(F)
Answer:
7
Step-by-step explanation:
Which of the following statements are true?
The value of the 5 in 592,841 is 10 times the value of the 5 in 358,764.
The value of the 6 in 861,257 is 10 times the value of the 6 in 651,042.
The value of the 8 in 358,764 is 10 times the value of the 8 in 592,841.
The value of the 5 in 592,841 is in of the value of the 5 in 358,764.
The value of the 6 in 861,257 is in of the value of the 6 in 651,042.
The value of the 8 in 358,764 is id of the value of the 8 in 592,841.
Answer:
5/6 is eaqual to 2.5/3
Step-by-step explanation:
If 10 men can cut a piece of lawn in 4
days, how long will it take 8 men to
cut the same lawn?
Answer:
About 3
Step-by-step explanation:
Step-by-step explanation:
10 men =4 days
8 men =x days
cross multiply
10×x=8×4=24
Graph the solution set to this inequality 3x -12 >_ 7x+4
Answer:
x [tex]\leq[/tex] -4
Step-by-step explanation:
1. 3x-12 [tex]\geq[/tex] 7x+4
add 12 to 12 to cancel it out, add 12 to 4.
2. 3x [tex]\geq[/tex] 7x+16
subtract 7x from 7x to cancel it out, subtract 7x from 3x.
3. -4x [tex]\geq[/tex] 16
divide -4 from -4x to cancel it out, divide -4 from 16.
4. x [tex]\geq[/tex] -4
since division was involved, the inequality symbol needs to be reversed.
ANSWER: x [tex]\leq[/tex] -4
Rachel wants to use the Distributive Property to rewrite 72 + 45. Which expression could she use?
Answer:
1.17 x 10^2
Step-by-step explanation:
Im pretty sure its right
I need help on deltamath
Answer:
(-4,-5)
Step-by-step explanation:
(x,y)... always x-axis first and then y-axis
For addition, drag tiles onto the board.
To form a group, place one tile on top of another.
What is the sum of -2 and -7?
Board sum: 0
Reset
Answer:
-9
Step-by-step explanation:
The sum of -2 and -7 is given as follows;
-2 + (-7)
In mathematical operations, + * - is -.
So we have;
-2 - 7
This gives us: -9
Answer:
10
Step-by-step explanation:
im on enginuity leson multiplying with intager tiles qestion 4
Why is it impossible for m
Answer:
? What M? What is impossible?
What would be the correct order of operations to evaluate the following expression?
Multiply, Multiply, Add, Subtract
Multiply, Add, Subtract, Subtract
Multiply, Subtract, Add, Add
Multiply, Subtract, Add, Subtract
Answer:
d or 4Step-by-step explanation:
Answer:
Multiply,Subtract,Add,Subtract
Step-by-step explanation: Easy, just think
Which decimal is equivalent to 7.5%? A 7.5 B 0.75 C 0.705 D 0.075
Answer:
D.) 0.075
Step-by-step explanation:
What is | -7.9 ?
help
answer quick will give 20 points
Answer:
I think c but I'm not sure
Answer:
C: (-3,6)
Step-by-step explanation:
add both equations
5x+2x+2y-2y=-15+(-6)
7x=-21
x=-3
input x=3 into any equation in system and solve for y
2(3)-2y=-6
-2y=-12
y=6
solution: (-3, 6)
I'm supposed to solve for PQ. it's pythagorean theorem.
Answer:
29 i think
Step-by-step explanation:
pythagoreon thereom is a^2+b^2=c^2 so c^2 being the hypotneuse you would do 2*2=4 +5*5=25 and 4+25=29