Answer:
a
[tex]P(X < 12) = 0.3660[/tex]
b
[tex]P(X < 12) = 0.1521[/tex]
Step-by-step explanation:
Considering question a
From the question we are told that
The mean is [tex]\mu = 12.01 \ oz[/tex]
The standard deviation is [tex]\sigma = 0.35 \ oz[/tex]
The standard error of mean is mathematically represented as
[tex]\sigma_{x} = \frac{\sigma}{\sqrt{n} }[/tex]
=> [tex]\sigma_{x} = \frac{0.35}{\sqrt{144} }[/tex]
=> [tex]\sigma_{x} = 0.02917[/tex]
Generally the probability that the mean volume of a random sample of 144 bottles is less than 12 oz is mathematically represented as
[tex]P(X < 12) = P(\frac{X - \mu }{\sigma_{x}} < \frac{12 - 12.01 }{0.02917 } )[/tex]
[tex]\frac{X -\mu}{\sigma_{x} } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X < 12) = P(Z < -0.3425 )[/tex]
From the z table the area under the normal curve to the left corresponding to -0.3425 is
[tex]P(X < 12) = P(Z < -0.3425 ) = 0.3660[/tex]
=> [tex]P(X < 12) = 0.3660[/tex]
Considering question a
From the question we are told that
The mean is [tex]\mu = 12.03 \ oz[/tex]
Generally the probability that the mean volume of a random sample of 144 bottles is less than 12 oz is mathematically represented as
[tex]P(X < 12) = P(\frac{X - \mu }{\sigma_{x}} < \frac{12 - 12.03 }{0.02917 } )[/tex]
[tex]P(X < 12) = P(Z < -1.0274 )[/tex]
From the z table the area under the normal curve to the left corresponding to -1.0274 is
[tex]P(X < 12) = P(Z < -1.0274 ) =0.1521[/tex]
=> [tex]P(X < 12) = 0.1521[/tex]
Please answer, 50 points and I gotta finish this test
What is the radical in simplest radical form? Please show all steps
sqrt 5/8 (Square root, 5 out of 8 as a fraction)
The square root of 8 in radical form is represented as √8 which is also equal to 2√2 and as a fraction, it is equal to 2.828 approximately. Squares root of a number is the number, which, on multiplying by itself gives the original number. Since 8 is not a perfect square, hence the value is represented in root form.
Question #3: Can you add the following terms? Why or why not?
3V2 + 2V2
Stuck on this last problem
Answer:
A.
Step-by-step explanation:
Since the associate property is grouping and since the only that groups the number differently is A.
6(1/3 x 7/5) changes to (6 x 1/3) 7/5
Hope this helps :)
James determined that these two expressions were equivalent expressions using the values of x - 4 and x - .6
Which statements are true? Check all that apply.
7x+4 and 3x+5+4x-1
When x = 2, both expressions have a value of 18.
The expressions are only equivalent for x = 4 and x = 6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if x = 8.
Answer:2 4 and 5
Step-by-step explanation:
Farmers market Sells grapefruit strawberries and avocado they each have a different cost and are price per box Alyssa Buys two boxes of strawberries and three boxes of avocados and spent $23 London by three boxes of grapefruit and four boxes of strawberries in Spain $19 Tina by seven boxes of grapefruit and five boxes of avocados in Spencer $51 find the missing quantity below
Answer:
The cost of grapefruits per box is $3, The cost of strawberries per box is $2.5
The cost of avocados per box is $6
Step-by-step explanation:
Let us represent the price of Grapefruits per box = g
Strawberries per box = s
Avocados per box = a
Alyssa buys two boxes of strawberries and three boxes of avocados and spent $23
2s + 3a = 23 ....... Equation 1
a = 23 - 2s
London buys three boxes of grapefruit and four boxes of strawberries in Spain $19
3g + 4s = 19 ....... Equation 2
Tina buys seven boxes of grapefruit and five boxes of avocados in Spencer $51
7g + 5a = 51..... Equation 3
2s + 3a = 23 ....... Equation 1
3g + 4s = 19 ....... Equation 2
7g + 5a = 51..... Equation 3
Substituting 3a = 23 - 2s in Equation 3
a = 23 - 2s/3
7g + 5(23 - 2s/3) = 51
7g +( 115 - 10s/3) = 51
Multiply through by 3
7g × 3 + ( 115 - 10s/3) × 3 = 51 × 3
21g + 115 - 10s = 153
21g -10s = 38 ........ Equation 4
Combining Equation 2 and 4
3g + 4s = 19 ....... Equation 2 × 10
21g -10s = 38 ........ Equation 4 × 4
30 + 40s = 190.. Equation 5
84g - 40s = 152 .... Equation 6
We Add Equation 5 and Equation 6 to eliminate s
114g = 342
g = 342/114
g = $3
To find s, cost 0f straw berries
g = $3
3g + 4s = 19 ....... Equation 2
3(3) + 4s = 19
9 + 4s = 19
4s = 19 -9
4s = 10
s = 10/4
s = $2.5
For find a, the cost of avocados.
7g + 5a = 51..... Equation 3
g = $3
7(3) + 5a = 51
21 + 5a = 51
5a = 51 - 21
5a = 30
a = 30/5
a = $6
g =$ 3, s =$ 2.5 and a = $6.
Therefore:
The cost of grapefruits per box is $3.
The cost of strawberries per box is $2.5 and
The cost of avocados per box is $6
Bananas are on sale at four different grocery stores.  which store offers the lowest unit rate for bananas, in dollars per pound?
Answer:
theres not enough info for someone to explain this :) sorry mate
Step-by-step explanation:
There are several bowls containing various amounts of grapes on a table. When 12 of the bowls each had 8 more grapes added to them, the mean (average) number of grapes per bowl increased by 6.How many bowls of grapes are on the table?
Answer:
There are 16 bowls
Step-by-step explanation:
Number of bowls = x
Total grapes added = 12 x 8 = 96
The average increased by 6
So 96/6 = 16
There were 16 bowls of grapes on the table
OR
12 x 8 = 96
96/6=16
EASY WORK HELP !! Look at the photo
Answer:
50 yards
Step-by-step explanation:
[tex]\frac{40}{16} = \frac{x}{20} \\ 800 = 16x \\ x = \frac{800}{16} = 50[/tex]
can you solve 5x = -25
Answer:
x=-5
Step-by-step explanation:
Divide by 5 on both sides and you get x=-5
Hope this helps mark brainliest if correct
the graph shows a proportional relationship between a person's total savings in dollars and the number of weeks they have been saving write an equation that models the savings.
the equation y=__ models the savings
Answer:
54x
Step-by-step explanation:
The equation y = 45 models the saving.
What is the point-slope form of a line?If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).
Given the graph of the equation.
Note that the graph passes through points (0,0) and (2,90).
The slope of the line is:
m = (90 - 0)/(2 - 0)
m = 45
The equation of the line with a slope of m = 45 and passes through (0,0) is:
y -0 = 45(x - 0)
y = 45x
Hence, the equation y = 45 models the saving.
Learn more about the point-slope form of a line:
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There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.
How many milliliters are in 3 gallons?
Label your answer in mL.
Answer:
11355mL
Step-by-step explanation:
It gives you how many milliliters are in one gallon. From there it gives extra information that isn't needed so you skip it and go to the question which is the amount of mL in 3 gallons. So you take the amount from the first sentence (3,785 mL) and multiply it by the amount that they ask in th equestion (3 gal) .
3785*3= 11355
Find the distance of a line given the following points. R(3, 1), W(-1, -2)
Answer:
5 units
Step-by-step explanation:
±√(- 2 - 1)^2 + (- 1 - 3)^2 = ±5 (rej - 5 since distance > 0)
Apply distance formula
This is a topic on coordinate geometry. If you would like to find out more you can give my Instagram page a follow as I'll be updating on this topic soon. In addition, I will be posting other useful materials created by myself at the same platform too!
sorry that im asking back to back!!!!
Answer:
i love ur pfp of bad bleep just wanted to say
Step-by-step explanation:
PLSSSS JUST SOLVE IT WITH THE INSTRUCTION IT GIVES PLSS THANK YOU
Answer:
area=47cm²
Step-by-step explanation:
A linear equation in two variables, x and y, is an equation that can be written in the form _________
, where m and b are constants.
Answer:
y=mx+b
Step-by-step explanation:
The required linear equation is the slope intercept form of a linear equation given by y = mx + b.
What is the linear equation with two variables ?
A linear equation with two variables is any equation that can be expressed in form ax + by + c = 0, where a, b, and c are all real values.
We know that there are various ways of representing a linear equation as follows :
First is the point-slope form of representing a linear equation and it is expressed by y - y1 = m (x-x1)Second is slope-intercept form which is given by : y = mx + bThird is general form of a linear equation which is : ax + by = cThese are all legitimate variations of linear functions, and they may all be transformed into and out of other linear functions.
The linear equation in two variables x and y is an equation that can be written in the form y = mx + b , where m and b are constants.
Therefore, the required linear equation is the slope intercept form of a linear equation given by y = mx + b.
Learn more about linear equation here :
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The drawing below shows part of an inch ruler. Each inch is broken into smaller pieces to measure more accurately than whole inches. Label each mark on the ruler with the correct fraction
In the diagram below, BC is an altitude of AABD. To the nearest whole unit, what is the length of CD?
Answer:
C
Step-by-step explanation:
Using the Pythagorean theorem, find BA: [tex]\sqrt{37^{2}+53^{2} } = \sqrt{4178}[/tex]
Making BC = x, find the lenth of BD: [tex]\sqrt{x^{2} +37^{2} }[/tex]
Since DBA is a right triangle, this follows: [tex]DA^{2}=BD^{2}+BA^{2}[/tex]
Substitute: [tex](x+53)^{2} =\sqrt{4178} ^{2} +\sqrt{x^2+37^2} ^{2}[/tex]
Expand: [tex]x^{2} +106x+2809=x^{2} +5547[/tex]
Solve: 106x = 2736
Finally: x ≈ 25.8 ≈ 26
Therefore: C
Solve the equation for m: m-n=5
Answer:
m=n+5
Step-by-step explanation:
You just add n on both sides to get m because m is isolated on one side and variables and numbers on the other side of the equal sign.
Answer:
m=n+5
Step-by-step explanation:
m-n=5
add n on both sides
m=n+5
what is 3 1/2 plzzz help me
Answer:
7/2 or 3.5 whichever you need
Step-by-step explanation:
What is the distance between 0.6 and 0
Answer:
on the number its between 0 and 1
Step-by-step explanation:
if you jump from 0 to 6 you would have 6 jumps, so it would be 6.
0.6 equals 0.60 so it could ALSO be 60 jumps. (incase u needed that)
I need your knowledge.
Answer:
det(2*3) also det(6)
Step-by-step explanation:
this is just filler so I can send it
HURRY I GIVE Brainless please hurry you get 100 points!!!Explaining a Rule for Dividing Fractions
Eran the steps you would take to find the quotient of
1/3 divided by 4/3
Answer:
1/4
Step-by-step explanation:
1/3 divided by 4/3. To divide, flip the fraction on the right.
1/3*3/4. Now you can divide both sides by 3.
1/1*1/4. 1x1/4 which is 1/4
1/4.
Hope this helps :D Please mark brainliest
Hello! c: if you need to write and explain your answer use this because its not a sample response i hope you get an A!
To find the quotient you must first, Find the reciprocal of the divisor and multiply the dividend by the divisors reciprocal.
In this case the answer would be 1/4.
Classify the equation 5 (2x + 3) = 3(3x + 12) as having one solution, no solution, or infinitely many solutions.
Answer: one solution I believe
Step-by-step explanation: I got 21 as my answer and that is one solution
James ran 25/100 of a mile yesterday. His friend, Natasha, ran 4/10 of a mile. Who ran farther and how do you know?
Answer:
James ran faster
Step-by-step explanation:
Help me please please
Answer:
Hold a sec I got this
Please help and leave a small explanation!
Can someone plz help me I wanna go to sleepppppp!!
Answer:
[tex]M_{2}=\frac{F_{g}r^{2}}{GM_{1}}[/tex]
Step-by-step explanation:
To find [tex]M_{2}[/tex], you can manipulate the formula.
[tex]F_{g}=\frac{GM_{1}M_{2}}{r^{2}}[/tex] (given)
[tex]F_{g}r^{2}=GM_{1}M_{2}[/tex] (times r² on both sides)
[tex]M_{2} = \frac{F_{g}r^{2}}{GM_{1}}[/tex] (divide both sides by [tex]GM_{1}[/tex])
∴ [tex]M_{2}=\frac{F_{g}r^{2}}{GM_{1}}[/tex] in terms of [tex]F_{g}, G, M_{1}[/tex] and [tex]r[/tex]
Help please and thank you
Answer:
1. 22
2. 8
3. 31
4. 20
5. 38
6. 22
7. 26
8. 16
9. 14
10. 28
Step-by-step explanation:
USE PEMDAS
P: Parantheses
E: exponents
D: division
A: addition
S: subtraction
and ywww
499 to the nearest hundred
Answer:
the correct answer would be 500
Step-by-step explanation:
Answer:
500
Step-by-step explanation:
hope this helps
plz help me out quick
Answer:
6/5
Step-by-step explanation:
because there is 6 triangle and 5 circle