Answer:
C
Step-by-step explanation:
Slope of a line that goes trough the points (x1=9, y1=1) and (x2=17, y2=2)
m= (y2-y1)/(x2-x1) = (2-1) / (17-9) = 1/8
A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that whenever this process is in control, package weight is normally distributed with a mean of 20 ounces and a standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each Day Weight (ounces) Monday 23 22 23 24 Tuesday 23 21 19 21 Wednesday 20 19 20 21 Thursday 18 19 20 19 Friday 18 20 22 20 If he uses upper and lower control limits of 22 and 18 ounces, what is his risk (alpha) of concluding this process is out of control when it is actually in control (Type I error)
Using the normal distribution and the central limit theorem, it is found that his risk is of 0.0456.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 20 ounces and standard deviation of 2 ounces, hence [tex]\mu = 20, \sigma = 2[/tex].Sample of 4 packages, hence [tex]n = 4, s = \frac{2}{\sqrt{4}} = 1[/tex]The risk is the probability of being more than 2 ounces from the mean, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Applying the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2}{1}[/tex]
[tex]Z = 2[/tex]
The risk is P(|Z| > 2), which is 2 multiplied by the p-value of Z = -2.
Looking at the z-table, Z = -2 has a p-value of 0.0228.0.0228 x 2 = 0.0456
The risk is of 0.0456.
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Dan and Paul share some money in the ratio 13:5.
Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.
How much did Paul originally have?
Answer:
Dan had $104
Paul had $40
Step-by-step explanation:
13x-32=5x+32
8x=64
x=8
8*5=40
13*8=104
Can you help me find the answer
Answer:
quadrilateral
and
pentagon
Answer:
1. Trapezium
2.Pentagon
(Irregular)
100 POINTS IF U GET THIS RIGHT!
Answer:
Step-by-step explanation:
y=-2x - 7/6 .............1
By using the slope-intercept form:
y=mx+c ............2
By comparing equations 1 and 2:
m = -2
If you need to ask any questions, please let me know.what is the value of x that makes this equation true 3/4 + x = 1/8
The correct value of ''n'' in this equation will be -5/8.
Step-by-step explanation:To solve this equation, we're going to isolate ''x'', and then we're going to subtract the two fractions.
But to subtract the two fractions with different denominators, let's represent the fractions with the least common multiple of the denominators, being 8.
Resolution:[tex]\large \sf \dfrac{3}{4} +x=\dfrac{1}{8}[/tex]
[tex]\large \sf x= \dfrac{1}{8} -\dfrac{3}{4}[/tex]
[tex]\large \sf x= \dfrac{1-6}{8}[/tex]
[tex]\large \sf x= \dfrac{-5}{8}[/tex]
[tex]\boxed{\boxed{{\large \sf x=-\dfrac{5}{8} }}}[/tex]
So we can conclude that the value of ''x'' in this equation will be -5/8.
A store manager predicts that 120 hats will be sold if each hat costs $16. The manager predicts that 4 less hats will be sold for every $1 increase in price. For what prices can the manager predict that at least 80 hats will be sold?
Answer:
The manager predicts that 3 less hats will be sold for every $1 increase in price. For what prices can the manager predict that at least 50
Step-by-step explanation:
The manager can predict $26 that at least 80 hats will be sold.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Cost of one hat = $16.
And number of hats sold by manager = 120.
Also, given that,
if $1 increases 4 fewer hats will be sold.
To find the price when 80 hats will be sold.
40 fewer hats should be sold.
4 fewer hats increases $1.
40 fewer hats will increase $1 x 10 = $10.
So the price of new price of hat = 16 + 10 = $26,
At $26 per hat the manager can sell at least 80 hats.
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The height of above ground level in meters of missile launched vertically,is given by
H(t)=-16t³+100t
At what time is the missile 72m
The height of the missile above the ground is 72 meters at 0.8 sec and 2 sec.
What is an equation?An equation is an expression that is used to show the relationship between two or more numbers and variables.
Let h(t) represent the height of the missile above the ground at time t. Given that:
h(t) = -16t³ + 100t
When the height is 72 m:
72 = -16t³ + 100t
16t³ - 100t + 72 = 0
t = 2 seconds and t = 0.8 seconds
The height of the missile above the ground is 72 meters at 0.8 sec and 2 sec.
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If I saved 100 dollars every week from now until June how much money will I have ?
Answer:
2800 dollars probably because it's about 28 weeks and 2 days from now to June so if you multiply 100 by 28 the answer is 2800$
Answer:
Now we're the 14th of Nov 2021. The first week of June 2022 is in 28 week from now, so it's 100 dollars x 28 weeks = 2800 dollars
Solve for c.
c= -9 - 8c
c=-9-8c
+8c
9c=-9
c=-1
Hope this helps:D!!
The letter C is equal to negative one.
c = -1
Hope this helps!
what does x equal in 150 = -6(x)^2 + 100x -180
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Exact Form:
x
=
25
+
√
130
3
,
25
−
√
130
3
Decimal Form:
x
=
12.13391808
…
,
4.53274858
…
Step-by-step explanation:
Answer:
x=\frac{25-\sqrt{130}}{3}
Step-by-step explanation:
x_{1,\:2}=\frac{-100\pm \sqrt{100^2-4\left(-6\right)\left(-330\right)}}{2\left(-6\right)}
x_{1,\:2}=\frac{-100\pm \:4\sqrt{130}}{2\left(-6\right)}
x_1=\frac{-100+4\sqrt{130}}{2\left(-6\right)},\:x_2=\frac{-100-4\sqrt{130}}{2\left(-6\right)}
x=\frac{25-\sqrt{130}}{3},\:x=\frac{25+\sqrt{130}}{3}
3 pounds of peanuts for $7. 50. How much is the cost per pound?.
find the area in hectares of a rectangular farmland 1km by 1/2km
Answer:
Solution: Length of the rectangular farmland =1km :Breadth of the rectangular farmland =1/2km1km= 1000m, 1/2km =500m
Area=Length×Breadth
=1000x500m2=500000m2
=50×10000m2=50 hectares
:)If one piece of furniture was sold every 3/4 hour, how many pieces of furniture are sold in 3 hours
Answer:
Two pieces of furniture.
Step-by-step explanation:
3 hours times 1 piece of furniture every 3/4 hours:
3 · [tex]\frac{3}{4}[/tex] = [tex]\frac{3*3}{4}[/tex] = [tex]\frac{9}{4}[/tex] = 2.25
Assuming that pieces of furniture cannot be sold in parts, 2 whole pieces of furniture will be sold in 3 hours.
if 3/ 4 part of the total number of students in a class are girls how much percent are boys
Answer:
1
Step-by-step explanation: because 3 are girls and 3 + 1 equals 4 its 1
Answer:
1/4 or 25% are boys
Step-by-step explanation:
3/4 + 1/4 = 4/4
75% + 25% = 100%
A certain class has 25 students. If 8 students play football and, 10 plays baseball and 6 plays both, how many students play neither football nor baseball?
Answer:1
Step-by-step explanation:
8+10=18 18+6=24 25-24=1
Answer:
7
Step-by-step explanation:
8 fb
10 bb
6 both, but are among the 8 & 10
so 7
hope it helps
what is the LCM of 900 and 30000
Answer: 90,000
To find the LCM (Least Common Multiple) of a number, list the multiples of each number.
Multiples of 900
Since they're a lot, we will extend it to the short version.
900, 2700, 9900, 37800, 85500, 90000
Multiples of 30000
30000, 60000, 90000, 120000, 150000
Looking at both multiples, the least common multiple is 90000, as it is listed in both 900 and 30000.
Hence, 90,000 is the answer.
Which system of inequalities has no solution ? I’m not sure
I think the answer might be c
7/3, 8/9, 12/5 order from smallest. please explain me 8/9 as its very confusing. i will give points and brainliest answer to nicly explained answer.
Answer:
8/9,7/3,12/5
Step-by-step explanation:
8/9 is smallest because the the numerator(upper number)is smaller than the denominator (which is the bottom number)so the value will be smaller than 1 unlike the other two fractions their numerator is bigger than the denominator so the value of them will be bigger than one
Find the number that makes the ratio equivalent to 2:4
16:
g (r)=-5r+13
g(3) Evaluate Functions
Answer: Algebra. Evaluate the Function g (3)=-5r+13. g(3) = −5r + 13 g ( 3) = - 5 r + 13. Replace the variable r r with 3 3 in the expression. g(3) = −5⋅3+13 g ( 3) = - 5 ⋅ 3 + 13. Simplify the result. Tap for more steps... Multiply − 5 - 5 by 3 3. g ( 3) = − 15 + 13 g …
Step-by-step explanation: sorry if this does not helps please give me brainly
The unit circle has a radius of 1 unit and is centered at the origin. It is dilated so that it passes through the point (4, 0). What is the scale factor of dilation? 3 4.
Dilation involves changing the size of a shape (i.e. a circle)
The scale of dilation is 4
The circle passes through the origin.
So, one of the points is (0,0)
When dilated it passes through the point (4,0).
The scale factor (k) is calculated by calculating the distance between the new point and the old point.
So, we have:
[tex]\mathbf{k = \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}}[/tex]
This gives
[tex]\mathbf{k = \sqrt{(4- 0)^2 + (0-0)^2}}[/tex]
Simplify
[tex]\mathbf{k = \sqrt{16 +0}}[/tex]
Add 16 and 0
[tex]\mathbf{k = \sqrt{16}}[/tex]
Take the square root of 16
[tex]\mathbf{k =4}[/tex]
Hence, the scale of dilation is 4
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In AWXY, X = 32 inches, y = 96 inches and ZW=16°. Find the area of AWXY, to the
nearest square inch.
Answer:
the nearest square inch is 50
Geometry- Copy and complete the statement.
Answer:
X+y over y
Step-by-step explanation:
X+y over y
Hope it helps
find the solution to the system of equations
-9x+8y=-26
-9x-6y=-12
first answer gets brainliest! :)
Answer: y=-1 and x=2
Step-by-step explanation:
-9x+8y=-26
-9x-6y=-12
Subtract
14y = -14
Divide by 14
Y=-1
Substitute y=-1 into the equation
-9x-6(-1)=-12
-9x+6=-12
Subtract 6
-9x=-18
Divide by -9
X=2
I wmat to sleep been doing work for an hour help me out
Answer:
A. 23, 37.....
B. 26, 42......
Step-by-step explanation:
have a great day!
2 1/4 x 3 2/5
show all your work
Answer:
153/20
Step-by-step explanation:
I assume you're asking
[tex]2 \frac{1}{4} \times 3 \frac{2}{5} [/tex]
So
[tex] \frac{9}{4} \times \frac{17}{5} [/tex]
=
[tex] \frac{153}{20} [/tex]
Write an expression to represent:
Eight minus the quotient of two and a number xx
Answer:
8-(2/x)
Step-by-step explanation:
A sweatshirt at Macy’s costs $68. If you have a 30% coupon, how much will the sweatshirt be after the discount is applied?
Answer:
$47.60
Step-by-step explanation:
Answer:
$47
Step-by-step explanation:
What two words make the contradion "there's"
A. There are
B. There is
C. That is
D. There has
Answer:
C: There is
Step-by-step explanation:
Hope this helps!
Mark as Brainliest if it does.
A bowling special costs $8.50 per hour for each adult and $5.00 per hour for each child one adult and two children go bowling what is the equation that shows the relationship between cost In dollars and time
Answer:22$
Step-by-step explanation:
2x8.50 = 17+5 = 22$
How long do they bowl