Answer:
y=-8x+4/5
Step-by-step explanation:
the formula for slope intercept is y=mx+b so you just plug in the numbers. m is slope and b is the y intercept
sorry if this is wrong :)
Answer:
The answer will be listed below!
Step-by-step explanation:
The equation would be y=-8x+4/5. Slope intercept form is y=mx+b. m would be the slope while b is the y-intercept so in the end, you get y=-8x+4/5.
3.8.10) Inclusions are defects in poured metal caused by contamitants. The number of (large) inclusions in cast iron follows a Poisson distribution with a mean of 2 per cubic millimeter. Deter mine the following:
(a) Probability of at least one inclusion in a cubic millimeter.
(b) Probability of at least 3 inclusions in 4.0 cubic millimeters.
(c) Volume of material to inspect such that the probability of at least one inclusion is 0.98
(d) Determine the mean inclusion per cubic millimeter such that the probability of at least one inclusion is 0.98.
Answer:
a) P(X>=1) = 0,7293 or P(X>=1) = 72,93 %
b) P(X>=3) = 0,5686 or P(X>=3) = 56,86 %
c) y = 0,8494 mm³
d) λ = 1,69897 inc per mm³
Step-by-step explanation:
a) P(X>=1) = 1 - P(X=0)
P(X = 0) = λ⁰ * e∧⁻λ / 0! where λ = 2 in/mm³
P(X = 0) = e∧-2 ⇒ P(X = 0) = 0,2706
Then
P(X>=1) = 1 - 0,2706
P(X>=1) = 0,7293 or P(X>=1) = 72,93 %
b) 3 inc. in 4 mm³ = 2*4/3 λ = 2,67 inc. per mm³
P(X>=3) = 1 - P(X=1 ) - P(X=2)
P(X=1) = λ¹ * e∧-λ / 1! ⇒ P(X=1) = 2,67 *e∧- 2,67/1
P(X=1) = 0,1846
P(X=2) = λ² * e∧-λ / 2! ⇒ P(X=2) = (2,67)² * e ∧ - 2,67/2
P(X=2) = 7,1289* 0,06925/2 ⇒ P(X=2) = 0,2468
Then
P(X>=3) = 1 - 0,1846 - 0,2468
P(X>=3) = 0,5686 or P(X>=3) = 56,86 %
c) P(X>=1) = 0,98
and λ = 2*y where y is the quantity of material
P(X=0) = 1 - P(X>=1)
P(X=0) = 1 - 0,98 P(X=0) = 0,02
0,02 = (2*y)⁰ * e ∧ -2*y /0!
0,02 = 1 * e ∧ -2*y
Taking log on both sides of the equation
log (0,02) = -2*y - 1,69897 = - 2*y
y = 0,8494 mm³
d) P(X >=1 ) = 1 - P( X = 0)
0,98 = 1 - P( X = 0)
P( X = 0) = 0,02
0,02 = λ⁰ * e ∧ - λ / 0!
0,02 = e ∧ -λ
Taking log on both sides of the equation we get:
log ( 0,02 ) = - λ
- 1,69897 = - λ
λ = 1,69897 inc. per mm³
Look at this equation.
0.3x + 5. 14 = 2. 1x - 4.4
Which value of x makes the equation true?
0
-5.3
O - 4.1
O 4.1
O 5.3
Answer:
5.3
Step-by-step explanation:
1.8x = 9.4
x = 5.3
The value of x that makes the equation true is 5.3, the correct option is D.
What is an Equation?An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
The equation is,
0.3x + 5. 14 = 2.1x - 4.4
The equation is made of two expressions,
The expression 1 is : 0.3x + 5. 14
The expression 2 is : 2.1x - 4.4
The value of x that makes the equation true has to be determined.
0.3x + 5. 14 = 2.1x - 4.4
Grouping the like terms on one side.
5.14 +4.4 = 2.1x -0.3x
Solving the variables and constants
9.54 = 1.8 x
Dividing 1.8 on both sides of the equation.
x = 9.54 /1.8
x = 5.3
The value of x at which the equation is true is 5.3.
To know more about Equation
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Determine the value of y in the equation "y= 2x=3" for the value of x=4
Answer:
y=8-3=5
Step-by-step explanation:
find the two angle measures from the diagram 12x-18 8x +10 answers are 114 and 66 or 66 and 66 or 114 and 114 will mark brainiest
Answer:
66 and 66Step-by-step explanation:
opposite angles are equal
12x - 18 = 8x + 10
combine similar terms:
12x - 8x = 10 + 18
4x = 28
x = 28/4
x = 7
plugin the value of x=7 back into the equation to solve the angle
= 12x - 18
= 12(7) - 18
= 66
= 8x + 10
= 8(7) + 10
= 66
you have a blender mixed with raspberries,blueberries,ice, and water.Which of the following will NOT change when mixed together?
a. magnetism
b. melting point
c. mass
d. color
Answer:
Magnetism
Step-by-step explanation:
The melting point will actually get colder with the added ice
the mass will get more dense
the color will be a purpleish soothing color
-5(x+1)= - 3(2x-2)
x= 11
X=-3
x=3
x= -11 please help quick!!!
Choose a line that is contained in plane s look at the picture for an example it’s an easy 50 pts cmon
the answer is line h
Answer:
h <3
Step-by-step explanation:
Rate of change for y=x-4
Answer: 1/1 or 1
Step-by-step explanation:
Pleaseeeeeeee helppp!!!!!! ASAP!!!
Answer:
See below.
Step-by-step explanation:
Statements: Reasons:
1) ∠1≅∠4 :Given
2) The two lines are parallel :Alternate Exterior Angles Converse
3) ∠3≅∠2 :Alternate Interior Angles Are Congruent
Answer:
given: 1=4 prove: 3=2
statement reasons
1=4 given
1=2 vertical angles
3=4 congruent angles
therefore: 3=2
Step-by-step explanation:
Find the GCF for the given list.
24x,12
The GCF is [_]?
Answer:
GCF is 2 x 2 x 3 = 12Step-by-step explanation:
to get the GCF of 24 and 12
you have to factor each value, then choose all the copies of
factor and times or multiply them.
so,
24 = 2 2 2 3
12 = 2 2 3
GCF = 2 2 3
therefore, the GCF is 2 x 2 x 3 = 12
hope it helps. good luck!
A plumber charges $75 for a service call, plus a $40 per hour. If the plumber's bill was $235, then how many hours was he there?
Answer:
4 hours
Step-by-step explanation:
235-75 one time fee, so subtract = 160
160/40 = 4
Answer:
4 Hours
40x - 75 = 235
-75 -75
40x = 160
40x/40 = 160/40
x = 4
Eric takes a train to his parent’s house 320 miles away. If the trip takes 4 hours, what is the unit rate of the train?
Answer:
80 miles per hour
Step-by-step explanation:
320 miles /4 hours = 80 miles per hour
Hi!! If you see this!! YOU MATTER!!! Hope this cheers you up! ❤
Answer:
Oh thank you! This means a lot i needed this :)
Step-by-step explanation:
what is 2 times 80+ 185-40+699-59
Answer:
945
Step-by-step explanation:
Answer:
1730 (2 times the whole expression) or 945 (2 times the addend of 80) [what is implied when 80+ 185-40+699-59 is not in parenthesis]
Step-by-step explanation:
2 times (80 + 185 - 40 + 699 - 59) →
2 (80 + 185 - 40 + 699 - 59)
2 ((((80 + 185) - 40) + 699) - 59)
2 ((265 - 40) + 699) - 59)
2 (225 + 699) - 59)
2 (924 - 59)
2 (865)
1730
_____________________
2 times 80 + 185 - 40 + 699 - 59 →
2(80) + 185 - 40 + 699 - 59
(((160 + 185) - 40) + 699) - 59
((345 - 40) + 699) - 59
(305 + 699) - 59
1004 - 59
945
Simplify. Round your answer to three decimal places.
1
2
·
2
3
+ 0.345
Answer:
1/2 times 2/3 equals 0.333333....
that plus 0.345 equals 0.678
Step-by-step explanation:
find the midpoint of ab given A(4,2) and B(2,6)
Answer:
(3,4)
Step-by-step explanation:
Is this correct? My answer was 61.5
Answer:
yes 61.5 is correct
Step-by-step explanation:
You can tell if there a proportional relationship just by looking at an equation true or false
Answer:
True.
Step-by-step explanation:
Look at the ratio of y to x. To see if its a proportional relationship, just put a 0 for x and then proceed to solve for y.
You operate a fresh fruit and vegetable market. For normal shipments, about 9.0% of the peaches are spoiled when they reached your market. You anticipate a busy weekend and would like to have 100 pounds of peaches to sell. To have 100 pounds of peaches and considering the spoilage rate, how many pounds should you order? A. 101 lbs. B. 105 lbs. C. 109 lbs. D. 110 lbs. E. 112 lbs.
Given:
Spoilage rate of fruits = 9% = 0.09
To find:
Amount of fruits to be order to have 100 pounds of peaches and considering the spoilage rate.
Solution:
Let the required amount of fruits you should order be x.
So, spoiled fruits = 9% of x = 0.09x
He would like to have 100 pounds of peaches to sell.
[tex]x-0.09x=100[/tex]
[tex]0.91x=100[/tex]
Divide both sides by 0.91.
[tex]x=\dfrac{100}{0.91}[/tex]
[tex]x=109.89[/tex]
[tex]x\approx 110[/tex]
The required amount of fruits to be order is 110 lbs. Therefore, the correct option is D.
B.
С
3
2
4
А
m.
D
Name _3 in as many different ways as possible.
and
Which graph represents the linear equation y = 1?
Answer:
but there's no choices
Answer:
Since theres no options. The answer should look like this below:
<-------------------------------------------------------------------------------------------> x axis
Step-by-step explanation:
Amy is trying to find a lid for a pot with a radius of 12 inches. How big is the lid?
Answer:
24 in
Step-by-step explanation:
the radius would be half of the whole amount
Question 10 of 10
Does this table represent a function? Why or why not?
2
1.
4
3
4
4.
слол | |
2
Сл
Answer:
No, because one x-value corresponds to two different y-values ⇒ D
Step-by-step explanation:
The relation of x and y can be a function if every x has only one value of y (x not repeated)
Examples:
The relation {(3, 5), (-4, 6), (0, 5)} is a function because every x has only one value of yThe relation {(3, 5), (-4, 6), (3, -5)} is not a function because x = 3 has two values of y 5 and -5Let us check the given table
∵ At x = 2, y = 1
∵ At x = 3, y = 4
∵ At x = 4, y = 4
∵ At x = 5, y = 2
∵ At x = 5, y = 5
∵ x = 5 has two values of y 2 and 5
→ That means x is repeated
∴ Not every x has only one value of y
∴ The table does not represent a function
∴ The right answer is D
From 1995 - 2008 in the US 648 people were struck by lightening. 531 of them were men. You want to see if this observation differs from the null hypothesis, that 50% of people who are hit by lightening would be men, based on the proportion of men in the population as a whole. Calculate the probability under the normal distribution of getting a result of 531 or more (including the continuity correction). Use the binomial test with a normal approximation. What is your conclusion?
Answer:
Because z is higher than any given value in the chart we come to the conclusion To reject null hypothesis
Step-by-step explanation:
Sample proportion = p= 531/648 = 0.8194
This is the proportion of men that were hit by lightening
Null hypothesis: H0: p = 0.5
Alternate hypothesis: H1: p ≠ 0.5
Test statistics z = 0.8194-0.5/(√0.5x0.5/648)
= 0.8194-0.5/√0.0003858
= 0.3194/0.019642
= 16.26
Since the z > 1.96 (at 5% significance) we reject the null hypothesis.
Therefore in conclusion we say z is higher than given values in the chart so we reject null hypothesis.
Please check attachment!
When we carry out a chi square test of Independence the alternate hypothesis states that the two relevant classification blank
Answer: that's false
Step-by-step explanation:
degrees of freedom=(r-1)(c-1)
If I'm wrong I'm sorry
Find the first of three consecutive even integers if the sum of the first and second is 15 less than 3 times the third.
Answer:
First even integer: 6
Step-by-step explanation:
Inequalities
Assume x is the first even integer. The next integer is x+2, and the last integer ix x+4.
The condition states that the sum of the first and the second number is 15 less than three times the third. This takes us to the inequality:
[tex]x+x+2<3(x+4)-15[/tex]
Operating:
[tex]2x+2<3x+12-15[/tex]
Subtracting 2 and 2x:
[tex]0<3x+12-15-2x-2[/tex]
Simplifying:
[tex]0<x-5[/tex]
Solving:
x>5
There are infinitely many solutions. For example, for x=6 (first even number into the solution interval):
First integer: 6
Second integer: 8
Third integer: 10
There are other solutions, like 20,22,24 but the first set is 6,8,10.
Help PLSSSSSSSSSSSSSSSSS extra points
Answer:
85 messages
Step-by-step explanation:
The system of equations for this is
35 + .10x
18 + .3x
where x = the number of text messages
Usually, you would use substitution or elimination to solve this problem. However, because the answer choices were given, you can just plug in the values.
When you plug in 85, or x = 85, you get 43.5 for both equations because
35 + .10(85) = 43.5 18 + .3(85) = 43.5
Therefore, the answer would be 85 messages becuase both plans will cost the same when you send 85 text messages!
:)
0.47
× 3.2. Help me please
Answer:
1.504
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is
15x + 12y = -144. Fully reduce your answer.
Step-by-step explanation:
Hey there!
Let the unknown slope be M2.
The given equation is;
15x + 12y = -144
From equation;
[tex]slope( m) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]
[tex]m = \frac{ - 15}{12} [/tex]
[tex]m = \frac{ - 5}{4} [/tex]
For the condition of perpendicular lines;
[tex]m \times m2 = - 1[/tex]
[tex] \frac{ - 5}{4} \times m2 = - 1[/tex]
[tex] - 5m2 = - 4[/tex]
[tex]m2 = \frac{ - 4}{ - 5} [/tex]
Therefore, the slope is 4/5.
Hope it helps....
Shawn buys a new bike for $75.50 and a new helmet for $12.50. If the sales tax rate is 11%, what will be the amount of sales tax on Shawn’s purchase?
Answer:
$9.68
Step-by-step explanation:
The total cost before tax is $75.50 + $12.50 = $88
11% of $88 = 0.11 * $88 = $9.68
Answer: $9.68
Answer:
Step-by-step explanation:
$75.50 (bike) + $12.50 (helmet) = $88 (this is the amount shawn will pay before tax
next $88 (total before tax) multiplied by 0.11 (11% tax) to get $9.68 tax. that should be the answer
edit: answer was wrong before, im really sorry if you already submitted the answer and i got it wrong for you.
