Answer:
a)0.099834
b) 0
Step-by-step explanation:
To solve for this question we would be using , z.score formula.
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is normal with mean 21.37 and variance 0.16.
a) Find the probability that the weight of a single mint selected at random from the production line is less than 20.857 grams.
Standard Deviation = √variance
= √0.16 = 0.4
Standard deviation = 0.4
Mean = 21.37
x = 20.857
z = (x-μ)/σ
z = 20.857 - 21.37/0.4
z = -1.2825
P-value from Z-Table:
P(x<20.857) = 0.099834
b) During a shift, a sample of 100 mints is selected at random and weighed. Approximate the probability that in the selected sample there are at most 5 mints that weigh less than 20.857 grams.
z score formula used = (x-μ)/σ/√n
x = 20.857
Standard deviation = 0.4
Mean = 21.37
n = 100
z = 20.857 - 21.37/0.4/√100
= 20.857 - 21.37/ 0.4/10
= 20.857 - 21.37/ 0.04
= -12.825
P-value from Z-Table:
P(x<20.857) = 0
c) Find the approximate probability that the sample mean of the 100 mints selected is greater than 21.31 and less than 21.39.
solve system
a = 5 - 2b; a +2b = 6
Answer:
This System has no solutions.
it takes 3/5 of a gallon of paint to cover 2/3 of a wall. how many gallons is this per wall
Answer:
9/10
Step-by-step explanation:
3/5 gallon paint = 2/3 of wall
if you divide 3/2 each side then...
9/10 gallon of paint = 1 wall
Answer:
1/5 of a wall
Step-by-step explanation:
if you take 3/5 and divide it by 2/3 then you get 1/5
please solve as fast as possible...
No spams please......
Answer:
In ∆ABD and ∆ACD
<BAD =<CAD ( each are half of <A )
<D=<D ( each equal to 90°)
AD = AD ( common)
So ∆ ABD is congruent to ∆ ACD.
Then AB =AC (by C.P.C.T)
Hence,∆ABC is an iso - sceles triangle.
Write the expression in the standard form a+b i
(8-8i) + (1+6i )= (simplify the answer)
Answer:
Step-by-step explanation:
(8 - 8i) + (1 + 6i)
8 + 1 - 8i + 6i
9 - 2i
Population of Olde Town
What is the slope for this scenario?
0-500
0.250
200
Answer:
- 250
Step-by-step explanation:
Pick two points along the line of the graph
(4,7000) and (8,6000)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (6000-7000)/(8-4)
-1000/4
- 250
Answer:
-250
Step-by-step explanation:
Your laptop died and you need a new one for work NOW! The one you need will cost $500. You do not have the cash in your checking account, so you decide to borrow the money from your savings account. You have $9,000 in your savings account gaining 3% interest per year. If you don't replace the $500 in the savings account, how long will it take before the balance again reaches $9,000?
Answer:
2 years
Step-by-step explanation:
If you have $9000 in the saving account, and you take $500, you are left with:
$9000 - $500 = $8500
in one year you will have 3% more of the 8500 which is:
8500/100*3 = $255
so in one year the number on your savings account is:
8500 + 255 = $8755
and by the next year you will have 3% more of the 8755 which is:
8755/100*3 = $262.65
so in two years the number on your savings account is:
8755 + 262.65 = $9017.65
which is a little bit more than the $9000.
so it will take 2 years until the calance again reaches $9000
Please mark braniliest if this reaches 2 answers because I want to get to Expert ;w;
Write in standard form.
2.87 x 104
A.28,700
B. 0.000287
C. 2,870
D. 287,000
The general form of the number is 28,700. The correct option is A.
What is a standard form?Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form.
The given number is 2.87 x 10⁴. The general form of the number can be written as:-
2.87 x 10⁴ = 2.87 x 10000
2.87 x 10⁴ = 28700
Multiply 2.87 by 10000 we will get the general form 28700 for the number.
Therefore, the general form of the number is 28,700. The correct option is A.
To know more about the standard form of the number follow
https://brainly.com/question/17136267
#SPJ5
what is the answer 3x+15=8x
Answer:
x=3
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
g Researchers studied 208 infants whose brains were temporarily deprived of oxygen due to complications at birth. When researchers detected oxygen deprivation, they randomly assigned babies to either usual care or to a whole-body cooling group. The goal was to see whether reducing body temperature for three days after birth increased the rate of survival without brain damage. What is the response variable
Answer:
The rate of survival without brain damage
Step-by-step explanation:
The response variable (or dependent variable) is the variable that is measured and which depends on other variables. In this experiment, the researchers are investigating the impact of reducing body temperature on rate of survival without brain damage. The variable that they were 'measuring' was the rate of survival without brain damage, which depended on the variable of reducing body temperature, therefore the response variable here is the 'rate of survival without brain damage.'
Hope this helped!
explain the process to calculate the distance between A= (9,7), B= (3,2)
Answer:
Step-by-step explanation:
Distance Formula in Pic
You just plug in the numbers for x1,y1 and x2,y2
A is your x1 and y1
B is your x2 and y2
after plugging it you do PEMDAS and solve it
30 points and possible brainliest
I need help I selected one but I don't know what the other one is.
Answer:
the answer is D and a
Step-by-step explanation:
please mark me as a brainlist...
6+3.245
Find the sum
Answer:
9.245
Step-by-step explanation:
6 + 3.245 = 9.245
Answer: 9.245
have a nice day:) ;)
A turtle was swimming 2 feet below the surface of a pond. While looking for food, he went
down 7 more feet
What is the position of the turtle now relative to the surface of the pond?
Answer:
-9 feet
Step-by-step explanation:
The turtle was already at -2 feet below sea level, then the turtle went 7 more feet down. Which means that -2 +7 = -9
Write an equation for the description . The length of a rectangle is twice its width . The perimeter of the rectangle is 122 feet.
Answer:
122 = 2(2w +w)
Step-by-step explanation:
If we let w represent the width of the rectangle, then 2w is the length of it. The perimeter is twice the sum of length and width.
P = 2(L+W)
122 = 2(2w +w) . . . . an equation for the description
On the exam, Rebecca successfully created 20 out of 25 vases.
[tex]\text{Hello there! :]}[/tex]
[tex]\large\boxed{125 \text { vases}}[/tex]
[tex]\text{To solve, find the proportion of successes from the total:}\\\\20 / 25 = 4 / 5\\\\\text{Set up a proportion to find the # of vases necessary to complete 100 successfully:}\\\\\frac{20}{25} = \frac{100}{x} \\\\\text{Cross multiply to solve:}\\\\20 * x = 100 * 25\\\\20x = 2500\\\\\text{Divide both sides by 20:}\\\\x = 125 \text{ vases}[/tex]
Answer:
125=_=_=
Step-by-step explanation:
hoped I helped
What is the density of Olivine? Mass = 20g; Volume = 6.15 cubic cm.
Round to TWO decimal places
Tricia starts school at 7am and has lunch at 12pm. She wants to make sure she has something to eat in between. Determine what time she should eat her snack if she is to eat at exactly a time between starting school and eating lunch.
I say she eats around 10:30 or whenever she feels like it, but go with my first answer.....
Xavier climbs 9 feet up into an apple tree. What integer represents the direction and how far he will climb to get back down to the ground? What does the integer 0 represent in this situation?
Answer:
He started climbing 9 feet up into the tree, so we can assume that the initial position is 9ft above the ground.
Then if he wants to get back into the ground, he must "descend" or climb down 9 ft again.
Then the integer is -9 (because he is climbing down now).
In this case, the 0 represents that he does not move.
So the integer 0 is related to: +0ft or -0ft
This means that he climbs up 0ft or down -0ft, which is the same as not moving at all.
Write in expanded form 51.242.
Answer:
50 + 1 + [tex]\frac{2}{10}[/tex] + [tex]\frac{4}{100}[/tex] + [tex]\frac{2}{1,000}[/tex]
Step-by-step explanation:
This is the answer because:
1) 50 and 1 equal to 51
2) The fraction forms of a decimal number is: the decimal number/the decimal number place value
3) Therefore, the answer is 50 + 1 + [tex]\frac{2}{10}[/tex] + [tex]\frac{4}{100}[/tex] + [tex]\frac{2}{1,000}[/tex]
Hope this helps!
PLEASE HELP ASAP IM SPENDING POINTS THAT TOOK ME SO LONG TO GET How much time will Alex need to walk to his school, which is 2 1 4 miles away from his house, if he would walk with the speed of 2 mph
Answer:
1 1/8 hours
Step-by-step explanation:
The relationship between time and speed and distance is ...
time = distance/speed
Then Alex's time is ...
time = (2.25 mi)/(2 mi/h) = 1.125 h
It will take Alex 1 1/8 hours to walk to school at 2 mph.
a/b=c for b helpp!! please
A / b = c
Multiply both sides by b
A = bc
Divide both sides by c
A / c = b
Зr + 4 = 12 = Зr
What is the answer
Answer:
r = 8
Step-by-step explanation:
Solve for r:
r + 4 = 12
Subtract 4 from both sides:
r + (4 - 4) = 12 - 4
4 - 4 = 0:
r = 12 - 4
12 - 4 = 8:
Answer: r = 8
Write each expression in simplest form.
4.3d + 6d
5.2 + 55-4
6. 2z+3-92-8
find the solution to the following equation
3X+5X/x+2=5x
Answer:
x=7/2
Step-by-step explanation:
Will give brainliest answer
Answer:
8- ff fj hfghgggģrdvbuhgffffgbhjjhhh
x is a normally distributed variable with mean μ = 17 and standard deviation σ = 3 find:
a) P(x >21)
b) P(x < 15)
c) P(16 < x < 25)
Answer:
a)0.09176
b)0.22065
c)0.62551
Step-by-step explanation:
a) p(x>21) = p(z> (21-17)/3)=p(z>1.333) = 1-.90824= 0.09176 (subtracting from one because we are looking at the right side of the graph from the Z-table)
b)p(x<15) = p(z< (15-17)/3)=p(z<-.6667) = 0.22065
c)p(16 < x < 25)= (z(16-17)/3 < p < z(25-17)/3)= z(-.333) < p < z(2.667)=.99621 -.37070 = 0.62551
Can someone help me with this I will make you brainliset
Answer:
I believe the answer is statements 1, 4, and 6.
Step-by-step explanation:
Answer:
1.4 and 1.7
Step-by-step explanation:
a)
percent.
A shopkeeper fixed the price of his articles 25 % above the cost price. If he sold an
article allowing 5% discount, find his profit percent.
Ashankeaner fived the more
bi
CL
Ron is saving 2/13 of his monthly income of 3978 for a new car. how much money is he setting aside each month for that car?
Answer:
$612
Step-by-step explanation:
2/13 of 3978 is 612
please help me fast
hope its easy for ya
Answer:
(1) 5x+14
(2)5x+15
(3) x^2 + 7x
(4) 4x+13
(5) x^2 +5x
(6) 6x+16
(7)x^2+4x