Answer:
y=ax+9−2a (i think )
Step-by-step explanation:
A straight line is represented by a linear function
The equation of line a is: [tex]\mathbf{y = 2x +5}[/tex]
The points are given as:
(x1,y1) = (-2,1)
(x2,y2) = (2,9)
Calculate the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{9-1}{2--2}}[/tex]
[tex]\mathbf{m = \frac{8}{4}}[/tex]
[tex]\mathbf{m = 2}[/tex]
The equation in slope intercept form is:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
So, we have:
[tex]\mathbf{y = 2(x +2) + 1}[/tex]
[tex]\mathbf{y = 2x +4 + 1}[/tex]
[tex]\mathbf{y = 2x +5}[/tex]
Hence, the equation of line a is: [tex]\mathbf{y = 2x +5}[/tex]
Read more about slope intercept form at:
https://brainly.com/question/11824567
In a test of a printed circuit board using a random test pattern, an array of 14 bits is equally likely to be 0 or 1. Assume the bits are independent.
(a) What is the probability that all bits are 1s? Round your answer to six decimal places (e.g. 98.765432). Enter your answer in accordance to the item a) of the question statement
(b) What is the probability that all bits are 0s? Round your answer to six decimal places (e.g. 98.765432). Enter your answer in accordance to the item b) of the question statement
(c) What is the probability that exactly 7 bits are 1s and 7 bits are 0s? Round your answer to three decimal places (e.g. 98.765). Enter your answer in accordance to the item c) of the question statement
Answer:
(a) 0.000061
(b) 0.000061
(c) 0.209
Step-by-step explanation:
An array of 14 bits is equally likely to be 0 or 1.
That is, P (0) = P (1) = 0.50.
(a)
Compute the probability that all bits are 1s as follows:
[tex]P(\text{All bits are 1s})=[P(1)]^{14}[/tex] ∵ the bits are independent
[tex]=(0.50)^{14}\\=0.00006103515625\\\approx 0.000061[/tex]
Thus, the probability that all bits are 1s is 0.000061.
(b)
Compute the probability that all bits are 0s as follows:
[tex]P(\text{All bits are 0s})=[P(0)]^{14}[/tex] ∵ the bits are independent
[tex]=(0.50)^{14}\\=0.00006103515625\\\approx 0.000061[/tex]
Thus, the probability that all bits are 0s is 0.000061.
(c)
Compute the probability that exactly 7 bits are 1s and 7 bits are 0s as follows:
Define X as the number of bits that 1s.
Then the random variable X will follows a binomial distribution with parameters n = 14 and p = 0.50.
The value of P (X = 7) is:
[tex]P(X=7)={14\choose 7}(0.50)^{7}(1-0.50)^{14-7}[/tex]
[tex]=\frac{14!}{7!\times 7!}\times (0.50)^{14}\\\\=3432\times 0.000061\\\\=0.209352\\\\\approx 0.209[/tex]
Thus, the probability that exactly 7 bits are 1s and 7 bits are 0s is 0.209.
According to one source, the average cumulated college student loan debt for a graduating senior is $29,400. Assume that such debt is normally distributed and that the standard deviation is $5,684. Thirty percent of these graduating seniors owe more than what amount?
Answer:
$32378.416
Step-by-step explanation:
We are asked to find: Thirty percent of these graduating seniors owe more than what amount.
More than 30% = Finding the z score of the 70% percentile.
The z score = 0.524
Hence, using z score formula:
z = (x-μ)/σ
0.524 = x - $29,400/$5,684
0.524 × 5684 = x - 29400
2978.416 = x - 29400
x = 29400 + 2978.416
x = $32378.416
Therefore, Thirty percent of these graduating seniors owe more than what amount $32378.416.
The sides of a rectangle are in the ratio 4:7.
If its longer side is 31.5 in., find the shorter side, the perimeter, and the area of this rectangle.
Thank you!
Answer:
58586
Step-by-step explanation:
gckhgcklghckhgchkc
what is the denominator of 7/2 and 1/2?
9514 1404 393
Answer:
the denominator of each fraction is 2
Step-by-step explanation:
The numerator of a fraction is the number above the fraction bar; the denominator is the number below the fraction bar. In the fraction ...
[tex]\dfrac{7}{2}[/tex]
the numerator is 7, and the denominator is 2.
__
Similarly, the number 2 is below the fraction bar and is the denominator in the fraction ...
[tex]\dfrac{1}{2}[/tex]
The numerator is 1, and the denominator is 2.
_____
The denominators of both of these fractions are 2. Since they are both the same, that value (2) can be used as the common denominator of the sum or difference of these fractions:
[tex]\dfrac{7}{2}+\dfrac{1}{2}=\dfrac{7+1}{2}\qquad\text{or}\qquad\dfrac{7}{2}-\dfrac{1}{2}=\dfrac{7-1}{2}[/tex]
Gerrit Cole’s salary pitching for the Yankees in 2020 is $36,000,000. Cole averages about 2,000 pitches each year. About how much money does Gerrit Cole make per pitch
36000000 x 2000 = 72000000000
A graph titled Calories in Strawberries. The x-axis shows the number of strawberries, numbered 1 to 9, and the y-axis shows the number of calories, numbered 3 to 27. A straight line with a positive slope begins at point (0, 0) and ends at point (6.8, 27). The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true? Each strawberry contains 4 calories. Each strawberry contains 3 calories. Twenty-four strawberries contain 6 calories. Four strawberries contain 15 calories
Answer:
the answer is edge 2020 A
Step-by-step explanation:
each strawberry contains four calories
gaming legend
Answer:
Its A
Step-by-step explanation:
got it right on Edge
Angle A 5x - 5 angle b = 3x + 13 what is angle b
Answer:
Step-by-step explanation:
do you mean what is c?
What is the line of reflection between pentagons PQRST and P′Q′R′S′T′?
A. x = 0
B. y = x
C. y = 0
D. x = 1
Answer:
b
Step-by-step explanation:
Answer: D: y = 0
Step-by-step explanation: Hope that helped
I’m not sure how to answer this
Answer: 16 numbers apart from eachother ON the line
Step-by-step explanation:
Helps please quick geometry
9514 1404 393
Answer:
5) 76°
7) 34°
Step-by-step explanation:
5) An angle bisector creates two congruent angles, so ...
∠WUV = 2(∠1)
9x +4 = 2(5x -2)
9x +4 = 10x -4
8 = x
Then ...
∠WUV = 9(8) +4 = 76
The measure of angle WUV is 76°.
__
7) An angle bisector creates two congruent angles, so ...
∠1 = ∠2
2x -3 = x +7
x = 10 . . . . . . . . add 3-x
Then ...
∠XVW = 2(∠2) = 2(10 +7) = 34
The measure of angle XVW is 34°.
A 33 pound bag of grass seed holds 2 pounds less than 5 smaller bags of seed. Find the weight of the smaller bag of seed.
Answer:
7 pounds
Step-by-step explanation:
33+2=35....35/5=7
Answer:
The answer is 7.
Step-by-step explanation:
33 + 2 = 35
35 ÷ 5 = 7
Is it true that a number is divisible by 18 if the sum of all of its digits is divisible by 18?
A cab company charges a $3 flat rate in addition to $1.50 per mile what will represent the x axis
I NEED HELP PLS HELP MEEE
What is the value of the expression below.
||3-7| - |-6+3||
Answer:
1
Step-by-step explanation:
[tex]||3-7| - |-6+3||[/tex]
||-4|- |-3||
|4-3|
|1|
3 + 8 + 6 + 6 + 6 = 58 + 6
How do we solve this
Answer:
93
Step-by-step explanation:
ASAP! I will give branilest!
1. Based on the information in the table, is the cost of the apples proportional to the weight of apples? Yes/No
pounds of apples cost of apples
2 $3.76
3 $5.64
4 $7.52
5 $9.40
2. Base on the information in the table, is the cost of the pizza proportional to the number of toppings? Yes/No
number of toppings cost of pizza
2 $11.99
3 $13.49
4 $14.99
5 $16.49
3. Write an equation for the table that represents a proportional relationship.
c =
1.50 or 1.88
3A. Use the following variables to help in your equation:
Is A the answer or T
a is for pounds of apples
t is for number of toppings
Answer: 1. No 2. Yes 3. 1.88
Step-by-step explanation:
Need Help Asap) Graph the piecewise function. ( Look at the picture). Will Mark Brainliest.
Answer:
This should help.
Step-by-step explanation:
Find all solutions in the interval [0, 2π).
4 sin^2 x - 4 sin x + 1 = 0
Answer:
[tex]the \: solutions \: are : \\ x = 0 \\ x = 360[/tex]
students at Freeman Middle School have a choice of water milk or juice for breakfast from a survey it was determined that 50 students prefer water 100 prefer juice and 150 prefer milk. you want to know the probability that exactly 3 of 4 randomly selected students do not prefer water how could you model the scenario? This scenario can be simulated by Rolling a six-sided die (A 3 B 4 C 5 D 6 E 7 times). The (A numbers 0 to 3 B numbers 0 to 6 C number 1 D numbers 7 to 9 ) would represent students who prefer water if a number (A 0 to 3 B 0 to 6 C 1 D 7 to 9) appears only once in a set of outcomes then it will mean that three of four randomly picked students do not prefer water in that set .
Answer:
The probability that exactly three of four randomly selected students that do not prefer water is; P=125/1296= 0.096
Step-by-step explanation:
Hope this helps
The required probability that exactly 3 of 4 randomly selected students do not prefer water is 0.096.
Given that,
Students at Freeman Middle School have a choice of water milk or juice for breakfast.
From a survey, it was determined that 50 students prefer water 100 prefer juice, and 150 prefer milk.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
the probability that selected students to prefer water.
Total sample space = 300
Total desired events = 50
Pw = 50 / 300 = 1/6
the probability that selected students do not prefer water
Total sample space = 300
Total desired events = 100+150 = 250
Pmj = (250)/300
= 5/6
The probability for exactly 3 of 4 randomly selected students do not prefer water can be given as,
Preq = Pmj.Pmj.Pmj.Pw
Preq = (5/6)^3 × 1/6
Preq= 125/1296
= 0.096
Thus, the required probability that exactly 3 of 4 randomly selected students do not prefer water is 0.096.
Learn more about probability here:
brainly.com/question/14290572
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ANSWER FAST PLZ FOR BRAINILIST
Answer:The 1st one
Step-by-step explanation:
If f(x) = 3x2 + 2x - 2, find f(8) - f(-5)
Answer: 143
Step-by-step explanation:
f(8) = 3(8)^2 + 2*8 - 2 = 3*64 + 16 - 2 = 192 + 16 - 2 = 206
f(-5) = 3(-5)^2 + 2*(-5) - 2 = 3*25 + (-10) -2 = 75 - 10 - 2 = 63
f(8) - f(-5) = 206 - 63 = 143
Find the area of a circle with a radius of 6 centimeters. Use 3.14 for π.
Enter the correct answer in the box.
Answer:
28.27
Step-by-step explanation:
Area = 1/4(3.14)(d^2)
Area = 28.27
if I walk 125 steps in a minute what would my walking rate per minute be
Answer:
um 125? Is this a joke ??????
Which inequality has -25 in its solution set?
y + 11 > -9
y - 17 Less-than-or-equal-to -46
30 Less-than-or-equal-to y + 5
y + 20 > -30
Answer: the first option is correct
Y+ 11> -9 this answer is most likely right.
Step-by-step explanation: -25 + 11 = 14 so that makes it bigger that -9 and that it has -25 in the solution set. Let me know if this is for Edmonton.
Answer:
It was D
Step-by-step explanation:
Can anyone help me solve for x and y
x = 24, y = 120
if you disagree tell me, I just substituted values.
Step-by-step explanation:
10. (6x - 7)° + (3x - 29)° = 180°
i.e they are co-interior angles:
6x + 3x - 7 - 29 = 180°
9x - 36° = 180°
9x = 216°
x = 24.
(6x - 7)° = (8y + 17)°
i.e they are vertically opposite angles;
but x = 24.
6(24) - 7 = 8y + 17
144 - 7 = 8y + 17
120 = 8y
y = 15
11. (9x + 25)° = (13x - 19)°
i.e they are corresponding angles;
25 + 19 = 13x - 9x
44 = 4x
x = 11
(13x - 19)° + (17y + 5)° = 180°
i.e they are adjacent angles;
but x = 11
13(11) - 19 +5 + 17y = 180
17y = 180 - 129
17y = 51
y = 3
I need help I don’t understand my teacher and I have to find the slope of those
Answer:
#7:[tex]y=\frac{4}{7} x-\frac{54}{7}[/tex]
Slope: 4/7
Step-by-step explanation:
First off you need to graph these equation on a graph i recommend using Desmos, it is free you can search it up. After you graph you need to focus on rise/run. this is simple, count how many times you go up before you reach the point diagnolly, then go over however many until you reach the point. Write it in a fraction such as, 2/1, this would be your slope, 2.
I hope this helps!
10 5/18 - 8 5/6
plzzzzzz helpppppp
Answer:
-5/9
Step-by-step explanation:
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(518×11)−(56×33)=?
Complete the multiplication and the equation becomes
518−1518=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
5−1518=−1018
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 10 and 18 using
GCF(10,18) = 2
−10÷218÷2=−59
Therefore:
518−56=−59
Which equation is equivalent to the given equation?
–8(x + 13) = 2(x - 7) + 4x
Answer: Is C
-8x-104=6x-14
Step-by-step explanation: I got the question right
Answer: -8x - 104= 6x - 14
Step-by-step explanation:
-8(x+13) =2(x-7) + 4x
-8x - 104 = 2X - 14 + 4x
-8x - 104 = 6x - 14
How do we use the question as the example
Answer:
what question
Step-by-step explanation: