Answer:
5/3
Step-by-step explanation:
Plug the 3 into the equation.
3 = (-3/5)x+4
Solve.
-1 = (-3/5)x
5/3 = x
x = 5/3
You purchased 8 tickets to Six Flags. The total cost of the 8 tickets was 279.92.
How much does each ticket cost?
Answer:
20 dollars
Step-by-step explanation:
write the point slope form of the line that passes through -8, 2 and is perpendicular to the line with a slope of negative 8
Answer:
y = -1/8x + 1
Step-by-step explanation:
Line perpendicular to 8 is -1/8
If the line were to start at the origin, then y- intercept would be 0, and it would pass through the point (-8, 1) To pass through point (-8, 2), add 1 to y in the first example.
Ten percent of the engines manufactured on an assembly line are defective.
a. If engines are randomly selected one at a time and tested what is the probability that the first non defective engine will be found on the second trial?
b. What is the probability that the third non defective engine will be found on the fifth trial?
c. Find the mean and variance of the number of trials on which the first non defective engine is found.
d. Find the mean and variance of the number of trials on which the third non defective engine is found.
Answer:
a) the probability that the first non-defective engine will be found on the second trial is 0.09
b) probability that the third non-defective engine will be found on the fifth trial is 0.00486
c) the Mean is 1.1111 and Variance is 0.1235
d) the Mean is 3.3333and Variance is 0.3704
Step-by-step explanation:
Firstly;
Let x be the number of trail on which the rth defective occurs
Also let the probability that an occurrence of a defective be p = 0.10
Here, x follows negative binomial distribution with parameters r and p
The probability mass function of X is as follows:
P(X = x) = [ x -1 p^r ( 1 - p)^(x-r) ; x = r, r + 1, r + 2, ...
r - 1 ]
= [ x -1 (0.10)^r ( 1 - 0.10)^(x-r)
r - 1 ]
= [ x -1 (0.10)^r ( 0.9)^(x-r) ..........n 1..... let this be equatio
r - 1 ]
This represents the probability that the rth success occurs on the xth trail.
a)
probability that the first non-defective engine will be found on the second trial?
Substitute r = 1 and x = 2 in equation 1
P(X = 2) = [ 2 - 1 (0.10)¹ ( 0.90 )²⁻¹
1 - 1 ]
= (0.10) × (0.90)
= 0.09
Therefore, the probability that the first non-defective engine will be found on the second trial is 0.09
b)
probability that the third non-defective engine will be found on the fifth trial?
So we substitute r = 3 and x = 5 in equation 1
P(X = 5) = [ 5 - 1 (0.10)³ ( 0.90)⁵⁻³
3 - 1 ]
= [ 4 (0.10)³ ( 0.9)²
2 ]
= 0.00486
Therefore, probability that the third non-defective engine will be found on the fifth trial is 0.00486
Now the formula for the mean of the negative binomial distribution is as follows:
Mean u = r / p ------- let this be equation 2
The formula for the variance of the negative binomial distribution also is as follows:
Variance α² = rq / p² ---------- let this be equation 3
so
c)
the mean and variance of the number of trials on which the first non-defective engine is found.
First, let the probability that non-defective engine found be p = 0.90
And q = (1 - p) = 1 - 0.90 = 0.10
Now we substitute r = 1, p = 0.90 and q = 0.10 in equation 2 & 3simultaneously,
the mean and variances are as follows;
Mean = r/p = 1/0.90 = 1.1111
Variance = rq/p² = (1)(0.10) / (0.90)² = 0.1235
Therefore the Mean is 1.1111 and Variance is 0.1235
d)
the mean and variance of the number of trials on which the third non-defective engine is found
Let the probability that non-defective engine found be p = 0.90
And q = (1 - p) = 1 - 0.90 = 0.10
Now we substitute r = 3, p = 0.90 and q = 0.10 in equation (2) and (3) simultaneously,
the mean and variances are;
Mean = r/p = 3/0.90 = 3.3333
Variance = rq/p² = (3)(0.10) / (0.90)² = 0.3704
Therefore the Mean is 3.3333 and Variance is 0.3704
HELP I WILL MARK BRAINLIEST
A property map is drawn at a scale of 1:1000. Calculate the corresponding actual distance if the distance between two points on the map is 1 cm
helpppppp meeee!!!!!!!
Answer:
IT>RT>RI
Step-by-step explanation:
sin72°>sin67°>sin41°
What is the y-intercept of the function fx) = -2/9x + 1/3
O -2/9
O- -1/3
O- 1/3
O-2/9
Answer:
Step-by-step explanation:
The answer is 1/3
Is the percentage illumination of the moon's surface a linear function of the day
Answer:
No (The linear model did a very bad job of approximating the data.)
I am so sorry if this in incorrect.
The percentage illumination of the moon's surface is not a linear function of day
How to determine the true statement?From the complete question, the dataset can be represented using the following table:
Days Percentage Illumination
1 2%
2 6%
3 50%
4 100%
Notice that as the number of days increase by 1, the percentage illumination of the moon increase at different intervals
This means that the percentage illumination is not a linear function of day
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A line with a slope of 1 passes through the point (7, 9). What is its equation in
slope-intercept form?
Answer: y=1x+9
Step-by-step explanation: Hope this helped!!
What is the exact value of sin 170⁰ cos 55⁰ + cos 170⁰ sin 55⁰?
The value of the equation sin 170° cos 55° + cos 170° sin 55° is given by
C = sin 225° and the value of C = -0.70710678118
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the equation be represented as C
Now , the value of A is given by the equation ,
A = sin 170° cos 55° + cos 170° sin 55°
And let the first angle be = 170°
Let the second angle be = 55°
So , value of A = 170° and value of B = 55°
From the trigonometric relations , we know that
sin ( A + B ) = sin A cos B + cos A sin B be equation (1)
Substitute the values of A and B in the equation , we get
sin 170° cos 55° + cos 170° sin 55° = sin ( 170° + 55° )
So , value of equation A = sin ( 170° + 55° )
On simplifying the equation , we get
sin ( 170° + 55° ) = sin 225°
The value of sin 225° = -0.70710678118
Hence , The value of the equation sin 170° cos 55° + cos 170° sin 55° is given by C = sin 225° and the value of C = -0.70710678118
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Answer: C
Step-by-step explanation:
ur welcome
which graph represents the function h(x)=2sin(x+pi/2)-1 ?
This graph represents the function h(x)=2sin(x+π/2)-1.
What is graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values.
This graph represents the function h(x)=2sin(x+π/2)-1.
The range is the set of values that correspond with the domain.
Domain of graph: (−∞,∞),{x|x∈R}
Range of graph: [−3,1],{y|−3≤y≤1}
Use the form asin (bx−c)+d to find the amplitude, period, phase shift, and vertical shift.
Amplitude: 2
Period: 2π
Phase Shift: −π/2 (π/2 to the left)
Vertical Shift: −1
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168 students enrolled in a freshman-level chemistry class. By the end of the semester, 5 times the number of students passed as failed. Find the number of students who passed.
Answer:
33.6
Step-by-step explanation:
Write an equation that represents the following word problem.
Jackie has four more apples than Mark and together they have twelve apples. How many apples do each Jackie and Mark have?
a + (a - 4) = 12
a + (a + 4) = 12
both of these would work
neither of these would work
Answer:
Both would work.
Step-by-step explanation:
If we call Jackie's apples a, then Mark has a - 4 apples. Therefore, together they have a + (a - 4) apples, and we know that they have a total of 12 apples so we can write a + (a - 4) = 12 to represent the situation. On the other hand, if Mark has a apples, then Jackie has a + 4 apples, so we can also write a + (a + 4) = 12 to represent the situation as well. Therefore, both of the equations would work. Hope this helps!
Answer:
both
Step-by-step explanation:
I got it right on the quiz
Solve the following problems. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it.
Given: ∠CDE ≅ ∠CED, ∠A ≅ ∠B, Prove: DE ∥ AB
Answer:
angle E equals angle B and angle D equals angle a which means they are parallel bc angle c is the same for both
Step-by-step explanation:
Help me plz I need help
Graph each function and determine the y-intercept, then use the graph to determine the approximate value of the given expression. (1/4)^x (1/4)^17
a.
0; 1.7
c.
1; 0.7
b.
1; 0.1
d.
0; 1.3
Answer:
b
Step-by-step explanation:
The graph of f(x) = 2x + 3 is a linear function and its y-intercept is y = 2x + 3.
What is linear function?Any function is referred to as linear if it represents a straight line on the coordinate plane. For instance, the linear function represented by the equation y = 3x – 2 looks like a straight line on a coordinate plane. Due to the fact that f(x) can substitute for y, this function can be written as f(x) = 3x - 2.
here, we have,
First find the slope of the line
y - y₁ = m(x - x₁)
0 - 3 = m(-1.5 - 0)
m = 2
From the graph, we can take any of the two points i.e.(0, 3) and put it in slope formula
y - y₁ = m(x - x₁)
So,
y - 3 = 2(x - 0)
y = 2x + 3 (y-intercept)
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Full question:
Graph each function determine which of the functions are linear. find the y-intercept of each function and the slope.
f(x) = 2x + 3
A sample of 5 months of sales data provided the following information:
Month 1 2 3 4 5
Units Sold 97 120 88 97 93
Required:
a. Develop a point estimate of the population mean number of units sold per month (to 1 decimal).
b. Develop a point estimate of the population standard deviation (to 2 decimals).
Answer:
a. 99
b. 12.31
Step-by-step explanation:
a. Estimate of the population mean number of units sold per month
n = Number of Data Values = 5
Sum of Data Values = Σxi =97 + 120 + 88 + 97 + 93 = 495
Sample Mean = X = Σxi/n = 495 / 5 = 99
The population mean number of units sold per month is 99
b. Estimate of the population standard deviation
Month Data (x) X x - X (x - X)^2
1 97 99 -2 4
2 120 99 21 441
3 88 99 -11 121
4 97 99 -2 4
5 93 99 6 36
Sum of deviation squared 606
s^2 = Sample Variance = Σ(xi - X)2/(n - 1)
Sample Variance = 606/4 = 151.5
Sample Standard Deviation = √Sample Variance
Sample Standard Deviation = √151.5
Sample Standard Deviation = 12.30853362509117
Sample Standard Deviation = 12.31
The point estimate of the population standard deviation is 12.31
What is the value of x in the equation *x - y = 30, when y = 15?
4.
ООО
8
80
200
Answer:
45
Step-by-step explanation:
[tex]x[/tex] - [tex]y[/tex] = 30 and [tex]y[/tex] = 15
So, I guess you are just messed up with the Xs and Ys.
And I'm not sure what is the 4. ООО 8 80 200 about but here is my guess :
So [tex]x[/tex] - [tex]y[/tex] = 30 and [tex]y[/tex] = 15.
First step, substitute the [tex]y[/tex] into the equation [tex]x[/tex] - .
So, it would be
[tex]x[/tex] - 15 = 30.
Now, we need the value of [tex]x[/tex].
[tex]x[/tex] - 15 = 30
Group the terms together :
[tex]x[/tex] - 15 ( +15 ) = 30 ( +15 )
So, [tex]x[/tex] would be equals to 30 + 15. And in other words, it would be 45.
So :
[tex]x[/tex] = 45.
Wanna check whether my answer's correct?
Substitute [tex]x[/tex] into [tex]x[/tex] - 15 = 30
That would be :
45 - 15 = 30
So is 45 - 15 = 30?
Yep.
So 45 is the answer.
The value of X is 45.
HOPE THIS ANSWER HELPED :)could u help me
with this
Answer:
P = 7
Step-by-step explanation:
46+8=54
54-5=49
49÷7=P
Multiple choice A,B,C,D
Answer:
The Answer is A
Step-by-step explanation:
I need help with this, Please explain to me this.
Answer:
Ithink b
Step-by-step explanation:
because all of them are they dissimilar to the reason
Write the equation of a line that passes through the point (6,8) and is parallel to y = 2x + 1.
Answer:
y = 2x - 4
General Formulas and Concepts:
Alg I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptParallel Lines have the same slope but different y-intercepts.
Step-by-step explanation:
Step 1: Define
y = 2x + 1
Step 2: Break function
Slope m = 2
y-intercept = 1
Step 3: Set up parallel line
y = 2x + b
8 = 2(6) + b
8 = 12 + b
b = -4
y = 2x - 4
Answer:
y = 2x - 4
Step-by-step explanation:
y - y1 = m(x - x1)
y - 8 = 2(x - 6)
y - 8 = 2x - 12
+ 12 + 12
y + 4 = 2x
- 4 - 4
y = 2x - 4 ------- formula for slope-intercept form: y = mx + b
Hope that helps!!! Please give me brainliest!!!
For the given expression, find the quotient and
Remainder
2x4 - 7x² + 7x + 2 divided by x2 +9
Quotient:
Remainder:
Answer:
6
Step-by-step explanation:
can someone help me with this and can someone tell me what operation it is
Answer:
12.78
Step-by-step explanation:
63.65 divided by 5 = 12.7
Answer:
Equation:63.65÷5=12.73
A)$12.73
Step-by-step explanation:
Division is this symbol ÷
Your problem directly states to divide the amount in money by the amount of children
wait what about not in decimal form?
Answer:
don't know which question?
Step-by-step explanation:
¿???????
are sports important in our life why?
Answer:
I think so yeah to keep a healthy lifestyle
Step-by-step explanation:
to get fit, and possibly lose weight
Answer:
Sports are a fundamental part of the lives of millions of men and women all over the world. Sports helps build talent and hobbies so that the people can be better at delivering them for personal and professional purposes. Sports also serve as a good leisure activity meant to relieve one from physical and emotional stress hence a healthy living.
Step-by-step explanation:
Fill in the blank to make the two fractions equivalent.
4/5= ?/20
Answer:
16/20 here is why :)
Step-by-step explanation:
4/5 = 16/20
--- -----
x4
5x?=20
?=4
so you do the same for the numerator
4x4=16
hope this helped.
Which of the following is an open sentence?
A
p is a prime number.
B
11 is an prime number.
C
12 is an prime number.
D
13 is an prime number.
Answer:
A
Step-by-step explanation:
This is because an open sentence is any statement with a variable.
Which expression is equivalent to 27 + 45? (1 point) 8(3+6) 8(19 + 37) 09(3 + 5) O 9(18 + 36)
Answer:
9(3+5)
Step-by-step explanation:
My favorite pancake recipe
2 cups all purpose | plain flour, (290 g | 10 oz)
1/4 cup granulated sugar or sweetener, (60g | 2 oz)
4 teaspoons baking powder
1/4 teaspoon baking soda
1/2 teaspoon salt
1 3/4 cups milk, (440ml)
1/4 cup butter, (60g | 2 oz)
2 teaspoons pure vanilla extract
1 large egg
Combine everything in a bowl (separate wet and dry) and cook at medium low heat until it is brown and there are bubbles on top. Then serve with syrup. Good luck!!!
Answer: 8(3+6)
Step-by-step explanation:
a recipe that serves 8 people requires 4 1/2 cups of flour.
Suppose you need to make enough to serve 24 people. How many cups of flor do you need?
The cups needed to feed 24 people is 13[tex]\frac{1}{2}[/tex] cups.
Ratio expresses the relationship between two values. It is used to express the number of times that one value is contained within other value(s).
The cups of flour needed to feed one person = [tex]4\frac{1}{2}[/tex] ÷ 8
= [tex]\frac{9}{2}[/tex] × [tex]\frac{1}{8}[/tex] = [tex]\frac{9}{16}[/tex]
Number of cups needed to feed 24 people = number of cups needed to feed 24 people x 24.
[tex]\frac{9}{16}[/tex] x 24 = [tex]\frac{27}{2}[/tex] = 13[tex]\frac{1}{2}[/tex] cups
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Graphs which present the values on the horizontal axis and the number of times this occurs on the vertical axis are known as what?
Answer:
The horizontal axis represents TIME
Step-by-step explanation:
In a time-series plot, the horizontal axis represents time, and the vertical axis represents the value of the variable we are measuring. -The values of the variable are plotted at each of the times, then the points are connected with straight lines.