The slope of the line is - 3 and the y - intercept of the line is - 2.
What is Equation of line?The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of line is,
⇒ y = - 3x - 2
We know that;
The slope - intercept form of the equation of line is,
⇒ y = mx + b
Where, m is slope and b is y - intercept.
So, By comparing we get;
The slope (m) of the line = - 3
And, the y - intercept of the line = - 2.
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Each of 12 refrigerators of a certain type has been returned to a distributor because of an audible, highpitched, oscillating noise when the refrigerators are running. Suppose that 7 of these refrigerators have a defective compressor and the other 5 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 6 examined that have a defective compressor. What is the probability that X exceeds its mean valueby more than 1 standard deviation?
Answer:
0.121
Step-by-step explanation:
From the given information:
Let X be a hypergeometric random variable. i.e X [tex]\sim[/tex] h (x;:6,7,12)
To determine the mean and the standard deviation of X of a hypergeometric random variable; we have:
[tex]\mu_x = E(X)[/tex]
[tex]\mu_x = 6 \times \dfrac{7}{12}[/tex]
[tex]\mu_x =1 \times \dfrac{7}{2}[/tex]
[tex]\mu_x =3.5[/tex]
The standard deviation is :
[tex]\sigma _x = \sqrt{(\dfrac{12-6}{12-1}) \times 6 \times (\dfrac{7}{12})\times (1-\dfrac{7}{12})}[/tex]
[tex]\sigma _x = \sqrt{(\dfrac{6}{11}) \times 6 \times (\dfrac{7}{12})\times (\dfrac{5}{12})}[/tex]
[tex]\sigma _x = \sqrt{\dfrac{35}{44}}[/tex]
[tex]\sigma _x = 0.892[/tex]
However, the inequality for the event showcasing how X exceeds its mean value by more than 1 standard deviation is :
[tex]X \geq \mu_x +\sigma_x[/tex]
[tex]X \geq 3.5 +0.892[/tex]
[tex]X \geq 4.392[/tex]
[tex]X \geq 5[/tex]
∴
[tex]P(X \geq \mu_x + \sigma_x ) = P(X \geq 5)[/tex]
[tex]P(X \geq \mu_x + \sigma_x ) = 0.121[/tex]
Calculate the slope between the points (4,5) and (7,9).
a
m=-3/4
b
m=-4/3
С
m=4/3
m=3/4
Answer:
m = 4/3
Step-by-step explanation:
Slope of line is given by
m = (y2-y1)/(x2-x1)
where
(x1,y1) and (x2,y2) are the two points on coordinate plane.
__________________________________________
Given points
(4,5) and (7,9)
using the above formula to find slope and plugging in the given points value
we have,
slope m = (9-5)/(7-4)
m = 4/3
Thus, slope between the points (4,5) and (7,9) is m = 4/3. The third option.
1÷2/3 blank 1
I have to figure out if it is < > =
Answer:
>
Step-by-step explanation:
Step 1: Define
1÷2/3 ? 1
Step 2: Evaluate 1÷2/3
1÷2/3 = 1 · 3/2 = 3/2
3/2 = 1.5
Step 3: Find
1.5 ? 1
1.5 > 1
The following graph shows a proportional relationship
Answer:
for every 5 units to the right, there is 1 unit up
the slope is y = 1/5
For every pound a company spends on advertising, it spends £0.51 on its website. Express the amount spent on advertising to its website as a ratio in its simplest form.
Answer:
I think it is 0.51? (I am complety off aren't I/)
Step-by-step explanation:
At a factory, five robots can construct
a car every ten minutes. How many
robots are needed if the company
wants to produce 30 cars every 25
minutes?
Answer:
5 times the quantity of 30 is (5*30) = 150 robots are needed.
Step-by-step explanation:
....
2 bags of sunflower seeds cost $5. At this rate, how many bags of seeds
can you buy for$20?*
Answer: 50
Step-by-step explanation:
Answer:
8 Bags
Step-by-step explanation:
If two bags cost $5, and you can spend $20, the amount of money multiplies by 4, so the number of bags would also.
2 x 4 = 8
How to solve for x??
Answer:
17
Step-by-step explanation:
The sum of a polygon's angles is 180° (n − 2), where n is the number of sides. A hexagon has 6 sides, so the sum of the angles is:
180° (6 − 2) = 720°
Therefore:
720 = 8x − 1 + 5x + 36 + 116 + 7x + 19 + 6x − 2 + 110
720 = 26x + 278
26x = 442
x = 17
what is the answer?
Answer:
i think it is 8
Step-by-step explanation:
but i am not sure
Help ya girl out with this one please ASAP <3
Answer:
x = 1
Step-by-step explanation:
6x + 6x - 7 = 5
combine like terms
12x - 7 = 5
add 7 to both sides of the equation
12x - 7 + 7 = 5 + 7
12x = 12
divide both sides of the equation by 12
12x/12 = 12/12
x = 1
Answer:
x=1
Step-by-step explanation:
The attachement below.
*Remember: This is combining like-terms and solving 2-step equations*
An employee at an organic food store is assembling gift baskets for a display. Using wicker baskets, the employee assembled 2 small baskets and 4 large baskets, using a total of 60 pieces of fruit. Using wire baskets, the employee assembled 2 small baskets and 10 large baskets, using a total of 132 pieces of fruit. Assuming that each small basket includes the same amount of fruit, as does every large basket, how many pieces are in each?
The small baskets each include______pieces and the large ones each include_____pieces.
Answer:12 and 15
Step-by-step explanation:
Please help me
An equation that has no solution is known as:
(1) impossible
(2) inconsistent
(3) incomplete
(4) an identity
inconsistent equation
A team of college administartors caputured and atgged a group of 90 fraternity men and then returned them to the universiry campus. Later a group of soroity women wishing to stimate the amount of fraternity men on campus caputred 215 men and found they were tagged. How many frat men would they stimate that were on campus
Answer:
125
Step-by-step explanation:
The college administrators captured the 90 fraternity men and tagged them, then they returned them to the university campus.
Let there were x tagged fraternity men already on the university campus, so, the total number of tagged fraternity men on the campus become x+90.
Later a group of sorority women captured 215 tagged men, in which the 90 tagged men added by the college administration are included.
So, x+90=215
[tex]\Rightarrow x=215-90=125.[/tex]
Hence, the number of fraternity men on the campus was 125.
[tex] {x}^{2} + 4x + 5 = 0[/tex]
For what values of x is the equation below true?
-6(2x-3)=-2(8x-1)
Helpp
Answer:
-4
Step-by-step explanation:
-12x+18=-16x+2
+16x +16x
4x+18=2
-18 -18
4x=-16
/4 /4
x=-4
Answer:
x=‒4
Step-by-step explanation:
‒6(2x‒3)=‒2(8x‒1)
‒12x+18=‒16x+2
‒12x+16x=2‒18
4x=‒16
4x/4=‒16/4
x=‒4
i hope it helps you.
[tex] \frac{2 {x}^{3} + 4 {x}^{2} - 5 }{x + 3} [/tex]
I need help with this one.
2x³ = x • 2x², and
2x² (x + 3) = 2x³ + 6x²
Subtract this from the dividend to get a remainder of
(2x³ + 4x² - 5) - (2x³ + 6x²) = -2x² - 5
-2x² = x • (-2x), and
-2x (x + 3) = -2x² - 6x
Subtract this from the last remainder to get a new one of
(-2x² - 5) - (-2x² - 6x) = 6x - 5
6x = x • 6, and
6 (x + 3) = 6x + 18
This gives a new remainder of
(6x - 5) - (6x + 18) = -23
x does not divide -23, so we're done, leaving us with
[tex]\dfrac{2x^3+4x^2-5}{x+3}=2x^2-2x+6-\dfrac{23}{x+3}[/tex]
© MP.1 Make Sense and Persevere
The Environmental Club's goal is to collect
9,525 cans by the end of four months. How
can you find the number of cans the club
needs to collect in September to meet their
goal? How many more cans do they need?
Month
DATA
June
July
Augusthow many more cans did they need
Answer:
[tex]September = 2697[/tex]
Step-by-step explanation:
Given
[tex]June = 1,898[/tex]
[tex]July = 2,643[/tex]
[tex]August = 2,287[/tex]
[tex]Expected = 9,525[/tex]
Required
Number of cans in September
First, we need to determine the total collected can from July to August.
[tex]Total = 1898 + 2643 + 2287[/tex]
[tex]Total = 6828[/tex]
September is then calculated as follows:
[tex]September = 9525 - 6828[/tex]
[tex]September = 2697[/tex]
Hence:
2697 cans are still needed
A bar of steel 340 cm long
Answer:
ok, and?
Step-by-step explanation:
Which of the relations below is a function?
{(2,3), (3,4), (5,1), (6,2), (2,4)}
{(2,3), (3,4), (5,1), (6,2), (3,3)}
{(2,3), (3,4), (5,1), (6,2), (7,3)}
Answer:
{(2,3), (3,4), (5,1), (6,2), (7,3)}
Step-by-step explanation:
A relation may or may not represent a function.
The relation that is a function is (c) {(2,3), (3,4), (5,1), (6,2), (7,3)}
Relations and functions
For a relation to be considered a function, then the x values must point to different y-values.
The above condition is true for the relation (3).
This is so because all x values in this relation point to different y-values.
Hence, the relation that is a function is (c) {(2,3), (3,4), (5,1), (6,2), (7,3)}
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help help help help help
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
(5) (-9) (-2)
-45 (-2) = 90
hope this helps
what is. 1+9.........
Answer:
uh 10?
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
helppp pleasee (picture included)
Answer:
It's D
Step-by-step explanation:
can you please help me
Answer:
-23
Step-by-step explanation:
hope get Brainliest
Answer:
B.-23
Step-by-step explanation:
cuz im smart, im so smart my other account got banned...
Blank to division problems must be interpreted correctly to answer real life problems.
Answer:
i agree
Step-by-step explanation:
Answer:
possibly " remainders "
Step-by-step explanation:
hope this helps <3
what is 5.6+2.2x>65.6-1.8x
Answer: x>15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x
>
15
Interval Notation:
(
15
,
∞
)
Find 4.8 x 7.2 show your proof
Answer:
34.56
Step-by-step explanation:
it is what it is
Suppose Sine (x) = four-fifths and cos(x) < 0. What is the value of cos(2x)?
Negative StartFraction 14 Over 25 EndFraction
Negative StartFraction 7 Over 25 EndFraction
StartFraction 7 Over 25 EndFraction
StartFraction 14 Over 25 EndFraction
Answer:
B.-7/25
Step-by-step explanation:
edge
The required value of cos(2x) is -7/25. Option B is correct.
sinx = 4/5
cosx < 0
Trigonometry is the study of angles in mathematics.
Here,
cos(2x) = 1-2sin²x
= 1 - 2 x 4²/5²
= 1 - 32/25
cos(2x) = -7/25
Thus, the required value of cos(2x) is -7/25.
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August hosted to dinner parties for his friends. Twenty guests attended the first party, and thirty-one guests attended the second party. What is the percentage increase of the number of guests from the first party to the second party? OA 40% О B. 60% C. 45% OD 55%
Answer:
The answer is D.
Step-by-step explanation:
First, you have to find the differences in number of guests in this 2 party :
[tex]31 - 20 = 11 \: guests[/tex]
Next, you have to divide by the smaller value which is the first party, then, multiply by 100 as the question wants percentage increase :
[tex] \frac{11}{20} \times 100 = 55\%[/tex]
Which verbal expression shows 4 ÷ n?
Answer:
the quotient of 4 and n
Step-by-step explanation:
or 4 divided by n
Emmett buys an emerald pendant priced at $527.50. Shipping and handling are an additional 12% of the price. How much shipping and handling will Emmett pay?