On a coordinate plane, a line goes through (negative 3, 3) and (negative 2, 1). A point is at (4, 1). What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (4, 1)?
Answer:
y = -2x + 9
Step-by-step explanation:
(1-3)/(-2--3) = -2/1 = -2 = m
y = mx + b
1 = -2(4) + b
9 = b
y = -2x + 9
A certain town has two kinds of youth basketball teams. One is a school team (S) and the other is a rec team (R). On any given Saturday in December, the probability that a school team will have a game is 0.8, and the probability that a rec team will have a game is 0.7. The probability that both have games us 0.65.
On any given Saturday in December, what is the probability that either a rec team or a school team has a game?
Answer Choices:
0.65
0.7
0.8
0.85
Answer:
D. 0.85
Step-by-step explanation:
Given
Probability of S = 0.8
Probability of R = 0.7
Probability of S and R = 0.65
Required
Probability of S or R
Using probability notations;
P(S) = 0.8
P(R) = 0.7
P(S n R) = 0.65
The question requires that we solve for P(S or R)
For overlapping events S and R; the following formula is applicable.
P(S or R) = P(S) + P(R) - P(S n R)
Substitute the values of P(S), P(R) and P(S n R)
P(S or R) = 0.8 + 0.7 - 0.65
P(S or R) = 0.85
Hence, the probability that either a rec team or a school team has a game is 0.85
Hi someone please help me I'm not sure how to do thissss
If the longer base of triangle XYZ is three times the length of the shorter base, a, what is the length of the hypotenuse in terms of the shorter base?
Answer: The length of the hypotenuse is √(10)*a
Step-by-step explanation:
Remember the Pythagorean theorem.
If b is the larger base, and a the shorter base, and H is the hypotenuse:
a^2 + b^2 = H^2
now, we know that b = 3*a.
(3*a)^2 + a^2 = H^2
10*a^2 = H^2
√(10)*a = H
Then we have the length of the hypotenuse in terms of the shorter base, B.
For the diagram shown, which angles are corresponding angles ∠3 and ∠7 ∠8 and ∠6 ∠4 and ∠7 ∠3 and ∠5
Answer:
< 3 and < 7
Step-by-step:
Corresponding angles mean that two angles are on the same side of the line. In this situation, the line is "t". Angles 3 and 7 are the only angles on the same side as each other.
Hope this helps!
Answer:
<3 and <7
Step-by-step explanation:
look at pic
the leg of a right triangle is 4 units and the hypotenuse is 9 units. what is the length in units of the other leg of the triangle?
Because a squared + b squared = c squared, and we know that the hypotenuse is c, we can turn the equation into 9^2 - 4^2= the other leg of the triangle. This equation is equivalent to 81 - 16 = 65. Then, you have to find the square root of 65 to get the other leg which is 8.06.
Answer:
Step-by-step explanation:
Pythagorean theorem,
leg ² + leg² = hypotenuse²
leg² + 4² = 9²
leg² + 16 = 81
leg² = 81 - 16
leg² = 65
leg = √65
leg = 8.06 units
Which statement is true of rectangles Y and Z?
Rectangle Y has a length of 6 and width of 4. Rectangle Z has a length of 4 and width of 3.
Answer:
Rectangle Y has a length of 6 and width of 4
Step-by-step explanation:
Just did it
Answer:
Not too sure, but I think it's D.
Step-by-step explanation:
A store carries four brands of DVD players, J, G, P and S. From past records, the manager found that the relative frequency of brand choice among customers varied. Using the given probability values for each of the four brands, find the probability that a random customer will choose brand J or brand P.
Answer:
The answer is below
Step-by-step explanation:
A store carries four brands of DVD players, J, G, P and S. From past records, the manager found that the relative frequency of brand choice among customers varied. Using the given probability values for each of the four brands, find the probability that a random customer will choose brand J or brand P.
P(J)=0.22, P(G)=0.18, P(P)=0.35, P(S)=0.25
Answer: Probability is the ration of possible outcomes to the total number of possible outcomes. The probability of mutually exclusive events i.e. events that cannot occur at the same time is the sum of their individual probabilities. If two events A and B are mutually exclusive events, then:
P(A or B) = P(A) + P(B)
Given that P(J)=0.22, P(G)=0.18, P(P)=0.35, P(S)=0.25, the probability that a random customer will choose brand J or brand P is given by:
P(J or P) = P(J) + P(P) = 0.22 + 0.35 = 0.57
Which of the following are steps in practical problem solving? Solve the sentence for the variable. Assign an identifying variable to the quantity to be found. Make a guess at the value of the variable. Write a sentence stating conditions placed on the quantity. Check if the value is correct.
Answer:
A, B and D
Step-by-step explanation:
Following are steps in practical problem solving:
=> Assign an identifying variable to the quantity to be found.
=> Write a sentence stating conditions placed on the quantity.
=> Solve the sentence for the variable.
Answer:
Assign an identifying variable to the quantity to be found.
.Write a sentence stating conditions placed on the quantity.
Solve the sentence for the variable.
Find an equivalent system of equations for the following system: 3x + 3y = 0 −4x + 4y = −8
Answer:
Answer:
3x + 3y = 0
7x - y = 8
Step-by-step explanation:
A political poll reports a candidate has a 67% unfavorable rating with a 4% margin of error. Find an interval estimate for the candidate
Answer:
[tex] \hat p-ME = 0.67-0.04= 0.63[/tex]
[tex] \hat p+ME = 0.67+0.04= 0.71[/tex]
And we can conclude that the etimated unfavorable rating is between 63 and 71%
Step-by-step explanation:
For this case we know that the estimated unfavorable rating is given by:
[tex]\hat p=0.67[/tex]
And the margin of error for this estimate is given by:
[tex]ME= 0.04[/tex]
If we want to find the confidence interval we just need to do the following:
[tex] \hat p-ME = 0.67-0.04= 0.63[/tex]
[tex] \hat p+ME = 0.67+0.04= 0.71[/tex]
And we can conclude that the etimated unfavorable rating is between 63 and 71%
Help
Question 1:
A scale on a map shows that 2 inches = 25 miles.
Part A
How many inches on the map represent 60 miles?
Enter your answer in the box.
inches
Part B
How many miles are represented by
1
4
inch on the map?
Enter your answer in the box.
miles
Save
Answer: A) 4.8 inches
B) 3.125 miles
Step-by-Step Explanation:
[tex]\dfrac{2\ inches}{25\ miles}=\dfrac{x}{60\ miles}\\\\\\\dfrac{2(60)}{25}=x\\\\\\x=\large\boxed{4.8}[/tex]
[tex]\dfrac{2\ inches}{25\ miles}=\dfrac{\frac{1}{4}\ inch}{y}\\\\\\2y=25\bigg(\dfrac{1}{4}\bigg)\\\\\\y=\dfrac{25}{8}\\\\\\y=\large\boxed{3.125}[/tex]
Please help I’m super confused :(
Answer:
[tex]a_{7}[/tex] = [tex]\frac{3}{32}[/tex]
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a. [tex]r^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = 6 and r = [tex]\frac{1}{2}[/tex] , thus
a₇ = 6 × [tex](\frac{1}{2}) ^{6}[/tex] = 6 × [tex]\frac{1}{64}[/tex] = [tex]\frac{6}{64}[/tex] = [tex]\frac{3}{32}[/tex]
Please help meeeee
The measure of a central angle is 18°. If the length of its intercepted arc is xπ units, what is the circumference of the circle?
A.( x/20)π units
B. (x/18)π units
C. (x/10)π units
D. 18xπ square units
E. 20xπ square units
Answer:
20xπ units
Step-by-step explanation:
Use the formula for the length of an arc.
θ/360 × 2πr
The length of the arc and the central angle is already given.
18/360 × 2πr = xπ
Solve for r.
r = (xπ)/(18/360)/(2π)
r = 10x
The radius is 10x.
The circumference is 2πr.
2π(10x)
20xπ
The circumference of the circle is 20xπ units.
2(5 + 9) – 6 plz help me i need it in 2 minuts
Answer:
2(5+9)_6
=10+18_6
=22
is it wht u require
It takes 20 minutes for 5people to paint 5 walls. How many minutes does it take 9 people to paint 9walls?
Answer:
20 minutes.
Step-by-step explanation:
Since it takes 5 people to paint 5 walls 20 minutes, that means that it would take 1 person 20 minutes to paint 1 wall. That also means that 2 people would take 20 minutes to paint 2 walls. So, it would take 9 people 20 minutes to paint 9 walls.
Hope this helps!
1/ n+5 - n2-10n/n3 +4125
Answer:
Here you go mate!
Step-by-step explanation:
Not sure if it's right though
Given that abc=def, m
Answer:
ABC. def, m is a brain training site. off work at abc .bac. cab .equal abcdef
Which statement is true regarding the graphed functions? A) f(4)=g(4) B) f(4)=g(-2) C) f(2)=g(-2) D) f(-2)=g(-2)
Answer:
Option (D)
Step-by-step explanation:
If the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are lying of the line.
Slope of the line represented by the function 'f' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Two points are lying on the line are (-2, 4) and (0, -2).
Slope of the line passing through these points 'm' = [tex]\frac{4+2}{-2-0}[/tex]
m = -3
Y-intercept of the line 'b' = -2 [From the graph]
Therefore, equation of the function will be,
f(x) = (-3)x - 2
f(x) = -3x - 2
Similarly, for other function represented by the line in red,
Slope of the line passing through (-6, 0) and (0, 6) = [tex]\frac{6-0}{0+6}[/tex]
m' = 1
Y-intercept of g(x) = 5 [From the graph]
Equation that represents the function g(x) = 1.x + 5
g(x) = x + 5
For g(x) = f(x)
-3x - 2 = x + 6
-3x - x = 2 + 6
-4x = 8
x = -2
Therefore, for x = -2 both the functions will have the value.
f(-2) = g(-2)
Option (D) will be the answer.
(4a - b)(2a - 3b) =
A 8a² + 3b²
B 8a² - 3b²
C 8a² - 10ab + 3b²
D 8a² - 14ab + 3b²
Answer:
The answer is option D.
Step-by-step explanation:
(4a - b)(2a - 3b)
Expand the terms
We have
8a² - 12ab - 2ab + 3b²
Which is
8a² - 14ab + 3b²
That's option D.
Hope this helps you
The difference in the x-coordinates of two points is 3. and the difference in the y-coordinates of the two points is 6
What is the slope of the line that passes through the points?
2
3
6
9
Answer:
slope = difference in y / difference in x
slope = 6/3 = 2 <===
calculate the shaded area in the diagram
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Surface areas and Volumes.
Now basically here we can see that, a Square has a circle inside it.
so the shaded region will be given as,
Shaded Area = Area of Circle.
thus, we get as
Area of circle = πr^2
so here, r = d/2 = 14/2 = 7 cm
so we get as,
Area = 22/7 * 7 *7
Area = 154 cm^2.
Answer:
49π
Step-by-step explanation:
definition :When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle: The area of a circle of radius r units is A=πr^2
d=14 , then radius=7
A=π7^2=49π
8x + 4 = 3 ( x - 1 ) + 7 : solve
Answer:
[tex]\boxed{x=0}[/tex]
Step-by-step explanation:
[tex]8x+4=3(x-1)+7[/tex]
Expand brackets.
[tex]8x+4=3x-3+7[/tex]
[tex]8x+4=3x+4[/tex]
Subtract both sides by 4.
[tex]8x=3x[/tex]
Subtract 3x on both sides.
[tex]8x-3x=0[/tex]
[tex]5x=0[/tex]
Divide both sides by 5.
[tex]x=0[/tex]
Answer:
x=0
Step-by-step explanation:
8x + 4 = 3 ( x - 1 ) + 7
Distribute
8x +4 = 3x-3 +7
Combine like terms
8x+4 = 3x +4
Subtract 4 from each side
8x = 3x
Subtract 3x from each side
5x =0
x=0
For the function F defined by F(x)=x^2-2x+4 find F(2b-1).
Answer:
F(2b-1) = 4b² - 6b + 4
Step-by-step explanation:
Replace all the x with 2b-1
F(x) = x² - 2x + 4
F(2b-1) = (2b-1)² - 2(b) + 4
= 4b² - 4b + 1 - 2b + 4
= 4b² - 6b + 4
a) y = 5x
What happens to the value of y if the value of x doubles?
Select your answer.
A: x2
B: x5
C: divide by 2
D: divide by 5
Answer:
x2
Step-by-step explanation:
In 5x, 5 is a constant and therefore if we double x we will double 5 too.
How do you identify the domain of the function in the graph
(Graph included)
Hope you understand :)
i dont know how to do these and i have to finish the subject in an hour so sorry for spamming
Answer:
x = 45°.
Step-by-step explanation:
∠AED is a vertical angle with ∠BEC. That means the m∠AED = m∠BEC.
x + 115 = 160
x = 160 - 115
x = 45
So, x = 45°.
Hope this helps!
The segments shown below could form a triangle.
Answer:
B. False
Step-by-step explanation:
In order for segments to form a triangle, the sum of the lengths of the shorter two must be at least as much as the length of the longest one.
The sum of the shorter two is 6 + 5 = 11. This is not as great as 12, the length of the longest one, so no triangle can be formed.
A company makes 100 bags. 32 of the bags have buttons but no zips. 32 of the bags have zips but no buttons. 35 of the bags have neither zips nor buttons. A bag is selected at random. What is the probability that the bag has buttons?
Answer:
32%, 8/25
Step-by-step explanation:
Since we are looking under the category of buttons, only 1 of the 3 options fit the description. 32 have buttons but no zips. All the others are either just zip or neither of them.
This means out of 100, only 32 have buttons
32/100 or 32%
We can simply 32/100 to 8/25
Answer:
8 / 75
Step-by-step explanation:
the probability of choosing a bag with buttons is ⅓ since there are three types of bags(with buttons, with zips and with neither)
there are 32 bags with buttons out of the 100, probability of choosing a bag with buttons is 32 / 100
multiply the two values
⅓ × 32 / 100
= 8 / 75
Translate the sentence into an inequality. Eight times the sum of a number and 20 is greater than or equal to 25. Use the variable y for the unknown number.
Answer:
8x + 20 ≥ 25
Step-by-step explanation:
Well 8 times the sum of a number "x" plus 20,
So we can write the following,
8x + 20
and that should be greater than or equal to 25
8x + 20 ≥ 25
Thus,
as an inequality it is 8x + 20 ≥ 25.
Hope this helps :)
In circle P, EG and FH are diameters.
What is m EH?
Answer:
[tex]m(\widehat{EH})[/tex] = 130°
Step-by-step explanation:
Angles subtended at the center by the arcs [tex](\widehat{HG})[/tex] and [tex](\widehat{EF})[/tex] are ∠HPG and ∠EPF.
Since these angles are the vertical angles both will be equal.
m∠HPG ≅ m∠EPF
3x - 10 = 2x + 10
3x - 2x = 10 + 10
x = 20
Therefore, [tex]m(\widehat{HG})=(3\times 20) - 10[/tex]
= 50°
Similarly [tex]m(\widehat{EF})[/tex] = 50°
In the same way angles subtended at the center will be equal.
m∠EPH ≅ m∠FPG
and [tex]m(\widehat{EH})=m(\widehat{FG})[/tex]
Since [tex]m(\widehat{EH})+m(\widehat{FG})+m(\widehat{EF})+m(\widehat{HG})=360[/tex]°
[tex]m(\widehat{EH})+m(\widehat{EH})+50+50=360[/tex]
[tex]2m(\widehat{EH})=360-100[/tex]
[tex]m(\widehat{EH})=130[/tex]
Therefore, measure of arc EH = 130°