Answer:
it should be 4.5
Step-by-step explanation:
A statistics class has a population of 140 students of which 55% are female. A random sample of 40 students was selected. What is the probability that 24 or more from this sample will be female?
Answer:
The probability that 24 or more from this sample will be female is 0.2643.
Step-by-step explanation:
Define X as the number of female students.
The random variable X follows a Binomial distribution with parameters n = 40 and p = 0.55.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:
1. np ≥ 10
2. n(1 - p) ≥ 10
Check the conditions as follows:
[tex]np=40\times 0.55=22>10\\\\n(1-p)=40\times (1-0.55)18>10[/tex]
Thus, a Normal approximation to binomial can be applied.
So, X follows normal distribution with mean and standard deviation:
[tex]\mu=np=40\times 0.55=22\\\\\sigma=\sqrt{np(1-p)}=\sqrt{40\times 0.55\times (1-0.55)}=3.15[/tex]
Compute the probability that 24 or more from this sample will be female as follows:
[tex]P(X\geq 24)=P(\frac{X-\mu}{\sigma}>\frac{24-22}{3.15})\\\\=P(Z>0.63)\\\\=1-P(Z<0.63)\\\\=1-0.7357\\\\=0.2643[/tex]
Thus, the probability that 24 or more from this sample will be female is 0.2643.
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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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
Can someone plz help me I’m tryna go to sleep .
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
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
what is 3 1/2 plzzz help me
Answer:
7/2 or 3.5 whichever you need
Step-by-step explanation:
9
The rate shown represents the number of residents for each police officer in a city.
400 residents
1 police officer
Which rate is equivalent?
10,000 residents
25 police officers
O
4,000 residents
100 police officers
2 residents
800 police officers
500 residents
101 police officers
chart below
Answer:
A: 10,000 residents to 25 police officers
Step-by-step explanation:
400*25=10,000
which organism is a a complex invertebrate
Answer:
An example of an invertebrate are insects, crabs, spiders....
Step-by-step explanation:
Invertebrate Are animals that their legs are jointed.
Answer:
the snail
Step-by-step explanation:
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]
sorry that im asking back to back!!!!
Answer:
i love ur pfp of bad bleep just wanted to say
Step-by-step explanation:
Please give me the correct answer.
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
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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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)
Help me please please
Answer:
Hold a sec I got this
Please help and leave a small explanation!
Principal = $500 Interest rate =5% Time = 5 years What is the interest earned?
Answer:
125dollars
Step-by-step explanation:
follow me say a thanks mark me branliest
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
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]
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.
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
can someone help my lil sister
Answer:
y=5.79x
Step-by-step explanation:
What you'll first do it divide both sides by y
So, y/y =5.79x/y
so the answer for question 1 is going to be 5.79xy.
If this is from the textbook, use slader. it might help you better than me.
Now do the same thing for the second one.
Be safe guys!:)
Answer:
took the test y=5.79x
Step-by-step explanation:
What is the quotient?
StartFraction (negative 3) Superscript 0 Over (negative 3) squared EndFraction
Negative 9
StartFraction 1 Over 9 EndFraction
StartFraction 1 Over 9 EndFraction
9
Answer:
Its C
Step-by-step explanation:
1/9
Answer:
1/9
Step-by-step explanation:
Edge
I need your knowledge.
Answer:
det(2*3) also det(6)
Step-by-step explanation:
this is just filler so I can send it
PLSSSS JUST SOLVE IT WITH THE INSTRUCTION IT GIVES PLSS THANK YOU
Answer:
area=47cm²
Step-by-step explanation:
72.678 round to nearest whole number
Answer:
The answer is 73
Step-by-step explanation:
Searched it up lol. Hope this helps tho!
Answer:
78
Step-by-step explanation:
THE NUMBER BEHIDE THE DECIMAL IS over.500
if there are 1 ,200 calories in 8 oz of hot fudge, how many calories are in 3 caloz of hot fudge?
Answer:
450!
Step-by-step explanation:
1200/8=150
150x3-450
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.
plz help me out quick
Answer:
6/5
Step-by-step explanation:
because there is 6 triangle and 5 circle