Using the normal approximation to the binomial distribution, it is found since np = 0.5 < 10, we cannot find the probability.
Normal Probability DistributionIn 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.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex], as long as [tex]np \geq 10, n(1 - p) \geq 10[/tex].In this problem, we have that:
Only 1% of the population has this blood type, hence p = 0.01.A random sample of 50 people is selected, hence n = 50.Then:
np = 50 x 0.01 = 0.5 < 10.
Thus we cannot find the probability.
More can be learned about the normal approximation to the binomial distribution at https://brainly.com/question/14424710
please add these number togeather
Answer:
314.00+200.96+113.04+78.50+63.59+38.47+28.26+3.14+.79
=840.75
Which fractions are equivalent to 5/8?
Select each correct answer.
20/32
25/64
10/16
50/80
10/13
Joan borrowed $5 a day to buy lunch. She now owes $65 dollars. How many days did Joan borrow $5? Use a picture to help explain your answer. Compare the picture to the numerical expression.
Lela bought 3.3 pounds of nuts they cost $1.79 a pound. How much money did she spend
Answer:
5.907
Step-by-step explanation:
I believe if you multiply 3 times 1.79 you get 5.37 then if you multiply 0.3 times 1.79 you get 0.537. If you combine the 2 you get 5.907. I think this is correct not sure though D:
1. Abe and Malik both stayed after school on
Wednesday to practice their instruments. Abe
practiced for 30 minutes. Malik practiced 10
minutes longer than Abe. Select all the ratios
that compare Abe's practice time to Malik's practice time
Answer:
Step-by-step explanation:
If Abe practiced 30 minutes,
Malik practiced 40 minutes.
It's 30:40 minutes;
3:4
Which of the following rational functions is graphed below?
Step-by-step explanation:
There is a vertical asymptote x=3 and x=-1 so our rational function will contain
(x-3)(x+1).
Since we have a horinzintal asymptote, our numerator will be either a constant function, or linear function.
we have a zero at approximately, at 1 so our numerator will include
[tex] \frac{x - 1}[/tex]
So our rational function is
[tex] \frac{x - 1}{(x - 3)(x + 1)} [/tex]
There is a vertical asymptote x=3 and x=-1 so our rational function will contain option C [tex]f(x) = \dfrac{x-1}{(x-3)(x+1)}[/tex].
When do we get horizontal asymptote for a function?The line y = a is a horizontal asymptote if the function f(x) tends to 'a' from the upside of that line y = a, or from downside of that line.
Since we have a horizontal asymptote, our numerator will be either a constant function or a linear function.
We have given a zero at approximately, 1 so our numerator will include (x-1).
So our rational function is
[tex]f(x) = \dfrac{x-1}{(x-3)(x+1)}[/tex]
Learn more about horizontal asymptotes here:
https://brainly.com/question/2513623
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Find the area of the figure
answer:
178.5398mm²
explanation:
attached
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Solve the following system of equations algebraically:
x + 5y = -19
3x - y=-9
Answer:
x= -4, y=-3
Step-by-step explanation:
solving the two equations simultaneously you'll get x to be-4 and y to be -3
x+ 5y= -19
3x-y=-9
multiplying the second equation by5
15x-5y=-45
adding eqn 1 and eqn 3
16x= -64
x= -4
substituting into eqn 2
3(-4)-y= -9
-y= -9+12
-y= 3
y=-3
the Area of the circles
Answer:
254.4 in²
Step-by-step explanation:
Area of a circle is given by the formula:
[tex]\pi r^{2}[/tex]
Our radius is 9 so we substitute this into the equation:
π(9)² = 81π
81π = 254.4 in²
Answer:
254 cm^2.
Explain:
The area of a circle is given by pi r squared. Pi has a constant value of 3.14. And the radius of the circle is 9 cm. The area equals pi R² equals 3.14 × 9² CM squared. 3.14 × 81 = 2.54.34cm^2 equals 254cm^2.
Which persons dues are cheaper per month? explain. (please help)
Answer:
Claire
Step-by-step explanation:
how do you do Mean Absolute Deviation with 35 42,41,32,30?
Answer:
The numbers added up together is 180, and divide 180 by 5 is 36.
1,6,5,4,6=22.
22/5=4.4
Step-by-step explanation:
You can look it online but as quoted,
"Take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set. Finally, round to the nearest tenth." -IXL
1. Mrs. Lee cut a pie into 6 pieces. She
gave each of her 4 children a
piece of pie.
If Mrs. Lee divided the entire pie equally
among her children, what fraction of
the remaining pieces of pie did
Mrs. Lee give each child?
A 14 piece of pie
į piece of pie
1
с
3
piece of pie
1
D à piece of pie
4
B
Answer:
She would have two leftover slices
Step-by-step explanation:
Answer:
She gave each children 1 piece of pie. She will have 2 leftover slices so she can cut both in half and each child can get another half of a single pie.
Identify the indicated angles as Adjacent, vertical, linear, or complimentary
how many thousand equal 700 ten
No thousands, just 70
Answer:
seven
Step-by-step explanation:
Can some help me I will mark u brilliant
Answer:
The answer is C
Step-by-step explanation:
The formula of a circle is pie radius ^2. Its asking for the surface area. So I got C because you do pie 18^2 and gets you approximately 1017. Although A also says 18 as the radius, it says meters. After you solve a surface area problem you do square meters or square units. For volume you have to use units cubed or units ^3. Make sure to always do this or your teacher might count you as wrong.
Answer:
Let's first try to find the radius before finding the diameter because when you find the radius, you double it to get the diameter.
To find the radius, use the area for a circle formula and plug in the values you know so far, so the formula is;
A = π[tex]r^{2}[/tex]
What we know:
1,017 is the area.Plug that area in our equation:-
A = π[tex]r^{2}[/tex]
1,017 = 3.14[tex]r^{2}[/tex]
Solve for r;
÷3.14 ÷3.14
324(approximate) = [tex]r^{2}[/tex]
√324 = r
18 = r, the radius is around 18 square meters (do not mistake the unit for some other unit).
Therefore, your answer is C.Another alternative way;Plug in your options' numbers into the equation;
A = π[tex]r^{2}[/tex]
And by looking at the options, we can see the only number here being used is 18, so we use 18 in the formula for the area of a circle to check if it'll result in 1,017 as the area.
Also: Notice if it says diameter or radius when using this solution, you are looking for the radius first.
help me pls guys guys
Answer:
1.TRUE
2.TRUE
3.TRUE
4.TRUE
5.TRUE
Step-by-step explanation:
THATS MY ANSWER ON MY MODULES
hope it helps as
are these lines parallel or perpendicular? 2y=-3x=5 and y=3/2-6
Answer:
perpendicular because they have a positive and negative slope meaning on a graph they would be crossing each other.
the vertex of this parabola is at (4, -3). when the x-value is 5, the y-value is -6. what is the coefficient of the squared expression in the parabola's equation?*sorry edited now
Answer:
- 3
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here (h, k ) = (4, - 3 ) , then
y = a(x - 4)² - 3
to find a substitute x = 5, y = - 6 into the equation
- 6 = a(5 - 4)² - 3 ( add 3 to both sides )
- 3 = a(1)² = a
y = - 3(x - 4)² - 3 ← expand factor using FOIL
y = - 3(x² - 8x + 16) - 3
= - 3x² + 24x - 48 - 3
= - 3x² - 24x - 51 ← in standard form
coefficient of the x² term is - 3
Samir also picks pumpkins from his garden. He picked 6 7/10 kg, but 2.6 of pumpkins were spoiled and could not be used for decoration. How many kilograms of pumpkins were not spoiled? Write an equation that shows how you reached your answer.
Answer:
6.7kg - 2.6kg = 4.1kg
Step-by-step explanation:
6 7/10 is equal to 6.7. If we have 6.7kg of pumpkins, but we can't use 2.6kg, then we subtract to find the amount that we can use.
If the two spinners below are spun, what is the probability that the numbers will match? 1/4 1/6 1/12 1/3
Answer:
1/4
Step-by-step explanation:
Probability of getting a number on Spinner 1 = 1/3Probability of getting a number on Spinner 2 = 1/4Sample Space = 12 entriesSample Space
{(1,1)(1,2)(1,3)(1,4)(2,1)(2,2)(2,3)(2,4)(3,1)(3,2)(3,3)(3,4)}Probability of getting the same number = 3/12 = 1/4There are 5 cups of oatmeal in a container stella eats 1/3 of oatmeal every day for breakfast in how many days will stella finish all the oatmeal in the container
Answer:
15 days
Step-by-step explanation:
if she eats 1/3 cup of outmeal each day then in 3days she will have eaten 1 cup so to get to 2cups he will have to eat for 3 more days so it goes 3 days by 3 days this will be easy to do on a number line but you could also just multiplying the 3days times the 5 cups because thats how many cups you want to get to finish so it will be 15 the 15 days it took me time to understand hope this was helpful
The number of days is 15 days.
What is unit rate?A rate is a ratio that compares two quantities of DIFFERENT. kinds of UNITS. A unit rate has a denominator of 1 unit when the rate is written as a fraction. To write a rate as a unit rate: divide the numerator and the denominator of the rate by the denominator.
here, we have,
to determine the number of days
From the question, we have the following parameters that can be used in our computation:
Size = 5 cups
Rate = 1/3 cup per day
The question illustrates unit rates
A unit rate is a rate in which the denominator of a ratio is 1 unit.
In other words, it is the amount of something per one unit of another thing.
Using the above as a guide, we have the following:
Number of days = 5/(1/3)
Evaluate the quotient
Number of days = 15/1 days
This gives
Number of days = 15 days
Hence, the number of days is 15
Read more about unit rates at
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Which of the following rational functions is graphed below
Answer:
option B
Step-by-step explanation:
[tex]f(x) = \frac{x + 2}{x + 1} [/tex]
Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)
Answer:
1200 more beats in 3 seconds or
400 more beats in 1 second
Step-by-step explanation:
A Mosquito beats its wings at a rate of 600 times per second.
A honey bee beats its wings at a rate of 200 times per second.
600 - 200 = 400
The mosquito beats 400 more times per second
400 X 3 = 1200
What is cosK?
(25)/(7)
(25)/(24)
(7)/(25)
(24)/(25)
Step-by-step explanation:
7/25
we need to remember this triangle with 90° 7, 24, 25
help pls quick i need the answer pls
Answer:
multicultural
Step-by-step explanation:
Answer:
A. Multicultural
Step-by-step explanation:
It shows later in the sentence that they ate Thai noodles and Egyptian falafel those come from different cultures so it must be multicultural
what is the value expression of the expression
2(x + 4) - (y•8)
when x=1/8 any y= 3/16
.A) 11/4
.B) 65/2
.C) 21/4
.D) 27/4
HELP ASAP
Answer:
D - 27/4
Step-by-step explanation:
2(1/8 + 4) - (3/16 × 8)
= 27/4
Find the length of the midsegment of the trapezoid.
Answer:
MN=66.5
Step-by-step explanation:
Add 57 and 76, then divide by 2.
Classify the following triangle as acute, obtuse, or right.
A. Obtuse
B. Acute
C. Right
D. None of these
Answer: this is a acute triangle
Step-by-step explanation: acute triangle angles are all less than 90°
If f is a second-degree polynomial function such that f(3)=5, f'(3)=6, and f''(3)=4, what is the value of f(2) ?
so let's say the equation is y = ax² + bx + c, where a,b,c are constants.
we know that f(3) = 5, or namely when x = 3 , y = 5.
we also know that f'(3) = 6, or namely the slope at the point (3,5) is 6.
we also know that at (3,5) the 2nd derivative is 4, so a positive number simply tell us its concavity, is up, so is a parabola opening upwards.
[tex]y=ax^2+bx+c\implies \left. \cfrac{dy}{dx}=2ax+b \right|_{x=3}~~ = ~~ 6\implies 6=2ax+b \\\\\\ 6=2a(\stackrel{x}{3})+b\implies 6=6a+b\implies 6-6a=b\implies \boxed{6(1-a)=b} \\\\[-0.35em] ~\dotfill\\\\ \left. \cfrac{d^2y}{dx^2}=2a \right|_{x=3}~~ = ~~4\implies 2a=4\implies a=\cfrac{4}{2}\implies \boxed{a=2}~\hfill \boxed{-6=b} \\\\[-0.35em] ~\dotfill[/tex]
[tex]y=2x^2-6x+c\qquad \begin{cases} x=3\\ y = 5 \end{cases}\implies 5=2(3)^2-6(3)+c\implies \boxed{5=c} \\\\\\ y=2x^2-6x+5~\hfill y(2)=2(2)^2-6(2)+5\implies \blacktriangleright y(2)=1 \blacktriangleleft[/tex]
Evaluate the expression 8-5xy3 for x=3 and y=-2.
Answer:
-54
Step-by-step explanation:
8-5xy3 x=3 y=-2
3xy3
3(3)(-2)3
9(-2)3
-18*3
-54
