Answer:
19.49% probability that no more than 16 of them are strikes
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In this problem, we have that:
[tex]n = 30, p = 0.626[/tex]
So
[tex]\mu = E(X) = np = 30*0.626 = 18.78[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.626*0.374} = 2.65[/tex]
What is the probability that no more than 16 of them are strikes?
Using continuity correction, this is [tex]P(X \leq 16 + 0.5) = P(X \leq 16.5)[/tex], which is the pvalue of Z when X = 16.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16.5 - 18.78}{2.65}[/tex]
[tex]Z = -0.86[/tex]
[tex]Z = -0.86[/tex] has a pvalue of 0.1949
19.49% probability that no more than 16 of them are strikes
help plz i need help
Hey there here is ur answer!
0.24 in percent = 24%
Well all u gotta do is multiply 0.24 or any other decimal number with 100 to represent it in percent.
HOPE IT MAKES UR DAY BRIGHTER!!
Consider the quadratic function f(x)=8x2−7x+6. What is the constant of the functi
Answer: 6
Step-by-step explanation:
The constant is a number that doesn't change at all. 8x² is not a constant because this number increases every time you plug in an x. -7x is also not a constant because this number decreases every time you plug in x.
We also know 6 is a constant because it is the y-intercept. No matter what, the y-intercept does not change. Therefore, 6 is the constant.
Could you help me I’m stumped
Also could you explain it so I can try it my self
Answer:
To be perpendicular, the product of the slopes of the two lines must be -1. The slope of the given line is -3/4 which means the slope of our line must be -1 / (-3/4) = 4/3. We know the y-intercept is -1 so that means we can write the equation in slope-intercept form which is y = 4/3x - 1.
The mean of four positive integers is 5 . The median of the four integers is 6 . What is the mean of the largest and smallest of the integers? Multiple choice: 3, 4, 5, 6 and 8
Answer:
4.
Step-by-step explanation:
The sum of all the integers = 4 * 5 = 20.
The median is 6 so that means that the mean of the 2 middle numbers is 6.
So the sum of the largest and smallest numbers is 20 - 12 = 8.
Therefore the mean of these 2 numbers is 4.
The first term of an arithmetic sequence is -30 and the common difference is 8. Find the 20th term.
Answer:
122.
Step-by-step explanation:
nthe term = a1 + d(n - 1) so here:
20th term = -30 + 8(20 - 1)
- 30 + 152
= 122.
Prove that an equilateral triangle can be constructed on any given line segment
Step-by-step explanation:
Answer is in the photo with diagram
7th grade math I need help pls
Answer:
Step-by-step explanation:
-15 3/5 = -18 1/5 - (-2 3/5)
-52.89 - (-25.63) = -27.26
49.40 -(-85.63) = 135.05
-96 2/9 - 24 4/9 = -120 2/3
Hope this helps
Bablu has three sticks of lengths 3, 4 and 5 cm. Ramesh has three sticks of lengths 3, 5 and 9 cm. How many triangles can Bablu and Ramesh make with their sticks?
Answer: They can make 4 diferent triangles if they share their sticks, one triangle as a time. If they don't share, Babu can make only one triangle. Ramesh can not make any.
Step-by-step explanation:
Combinations that work:
3,4,5
3,3,4
3,3,5
5,5,9
The lengths of two shorter sides added together have to be greater than the longest side.
The line shown below are parallel if the green line has a slope of -4 where is the slope of the redline
Answer:
-4
Step-by-step explanation:
Parallel lines have the same slope
If the green line has a slope of -4, then the red line has a slope of -4
Answer: 4
Step-by-step explanation:
A pile of sand weighs 90kg. the sand is put into a small bag, a medium bag and a large bag in the ratio 2: 3: 7. work out the weight of each sand bag Please help!
Answer:
the first bag is 15 ,the second bag is 22.5 and the third bag is 52.5
Step-by-step explanation:
you take the ratios and add them together 2+3+7=12. then you take 2/12×90=15,3/12×90=22.5,7/12×90=52.5 I think I tried
Bill and Ben each have three cards, numbered 4, 5 and 6.
They each take one of their own cards.
Then they add together the two numbers on the cards.
a) What is the probability that their answer is an odd number?
b) What is the probability that their answer is a number less than 11?
Answer:
the probability that there answer is an odd number is 4/9
What is the measure of arc ADC if the measure of arc BC is 52 degrees
Answer:
bc 52dndnxnnxxjxmsowkdkdodjdjdidj
5. (03.02 MC)
If f(x) = 2x2 + 4, find f(3).
Answer:
f(3) = 22
Step-by-step explanation:
f(x) = 2x^2 + 4
=>f(3) = 2(3)^2 + 4
= 2(9) + 4
= 18 + 4
= 22
3) (2 + 3n3 – 4n?)– (8n2 + 7n3 + 2)
Answer:
-4n³ - 8n² - 4n
Step-by-step explanation:
Write this number using standard notation,
1.5 x 10 to the 6th power
Type the correct answer, then press Enter.
Hey there! :)
Answer:
1,500,000.
Step-by-step explanation:
Convert to standard notation by first deriving the value of 10 to the exponent given:
[tex]10^{6} = 1,000,000[/tex] (6 zeros)
Multiply:
1.5 × 1,000,000 = 1,500,000
which expression is not a polynomial?
Answer
A
Step-by-step explanation:
a polynomial only consist of multiplication, addition, and subtraction, and no division
Answer:
A
Step-by-step explanation:
Can someone please help me with this
Answer:
I'm pretty sure the correct answer is
D. None of the choices are correct
Step-by-step explanation:
The most likely answer would be AHL ~ NKG, it all depends on the order you put it in. However that is not one of the options so the answer is D.
Hope this helps!
- Quinn <3
what is the length of leg s of the triangle below?
Answer:
8
Step-by-step explanation:
the length of the hypotenuse is s times the square root of 2
The length of leg s in the right angled triangle given is 8.
What is the length of s?
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. A right angled triangle is a triangle in which of its angle measure 90 degrees.
Length of s : sin 45 = opposite / hypotenuse
1/√2 = opposite / 8√2
Opposite = 8√2 x 1/2= 8
To learn more about triangles, please check: https://brainly.com/question/22949981
#SPJ2
I need help please:((
Select the correct answer. An iron bar at 200°C is placed in thermal contact with an identical iron bar at 120°C in an isolated system. After 30 minutes, both iron bars are at 160°C. If the iron bars were placed in thermal contact in an open system instead of an isolated system, how would the results be different? Assume that the room temperature is 25°C. A. The temperatures of the iron bars after 30 minutes would be less than 160°C because heat would be lost to the surroundings. B. It would take more than 30 minutes for both iron bars to reach 160°C because heat would be transferred less efficiently. C. The temperatures of both iron bars would increase as they absorb heat from the surroundings. D. The temperatures of both iron bars would decrease because pieces of them would be lost to the
Answer:
A. The temperatures of the iron bars after 30 minutes would be less than 160°C because heat would be lost to the surroundings.
Step-by-step explanation:
The hotter bar would lose heat to both the cooler bar and the surroundings. The cooler bar would gain heat from the hotter bar, but lose heat to the surroundings. Because heat is lost to the surroundings, the temperature of the iron will be less at the same time (after 30 minutes) than it would be in an isolated system.
How many real solutions does this system of equations have? x2+y2=363x−y+1=0 A. 0 B. 3 C. 2 D. 1
Answer:
Correct option: C -> 2
Step-by-step explanation:
The first equation is:
[tex]x^2+y^2=363[/tex]
And the second equation is:
[tex]x-y+1=0[/tex]
From the second equation, we have:
[tex]y = x + 1[/tex]
Using this value of y in the first equation, we have:
[tex]x^2 + (x+1)^2 = 363[/tex]
[tex]x^2 + x^2 + 2x + 1 = 363[/tex]
[tex]2x^2 + 2x= 362[/tex]
[tex]x^2 + x - 181 = 0[/tex]
Calculating the discriminant Delta, we have:
[tex]\Delta = b^2 - 4ac = 1 + 4*181 = 725[/tex]
We have [tex]\Delta > 0[/tex], so we have two real values for x, therefore we have two solutions for this system.
Correct option: C.
(If the system of equation is actually:
[tex]x^2+y^2=36[/tex]
[tex]3x-y+1=0[/tex]
We would have:
[tex]y = 3x + 1[/tex]
[tex]x^2+(3x+1)^2=36[/tex]
[tex]x^2+9x^2+6x+1=36[/tex]
[tex]10x^2+6x-35=0[/tex]
[tex]\Delta = 36 + 1400 = 1436[/tex]
We also have [tex]\Delta > 0[/tex], so we have two solutions for this system.
Correct option: C.)
Answer:
A. 0
second part: C. The boats' paths do not cross each other
plz help as fast as possible I will give you points
Answer:
The value of the line is 5.83.
Hope it helps!
Answer:
d = √34 or 5.83
Step-by-step explanation:
Distance formula: [tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
Point R (-3, 1)
Point S (2, 4)
d = √(2+3)²+(4-1)²
d = √(5²+3²)
d = √(25 + 9)
d = √34 or 5.83095
Jeremy wrote this equivalent equation to solve for x: x = negative 11 y minus 140 Which of these equations might have been Jeremy's original equation? Check all that apply. y + 7x = 23 y + 11x = 140 2x – 22y = –140 3x + 33y = –420 x + 140 = –11y
Answer:
3x+33y= -420
x+140= -11y
Step-by-step explanation:
x= -11y-140
y +7x=23
7x=23-y
x=23/7 - y/7
y+11x=140
11x=140-y
x=140/11 - y/11
2x-22y=-140
2x=-140+22y
x=-140/2+22y/2
x=-70+11y
3x+33y=-420
3x=-420-33y
x=-420/3 - 33y/3
=-140-11y
x=-140-11y
x+140=-11y
x=-11y-140
Answer:
The bottom 2
3x + 33y = –420
x + 140 = –11y
Step-by-step explanation:
Edge 2020
Help me please The question is in this photo
Answer:
x² + x - 12 = 0
Step-by-step explanation:
Given the solutions are x = - 4 and x = 3, then the factors are
(x + 4) and (x - 3) and the equation is the product of the factors, that is
(x + 4)(x - 3) = 0 ← expand factors using FOIL
x² + x - 12 = 0 ← in standard form
Plz answer this question and I will mark you as brainliest
Answer: 3/8
Step-by-step explanation:
When you subtract fractions, you want them to have a common denominator.
[tex]\frac{36}{24}-\frac{27}{24} =\frac{9}{24}[/tex]
This answer is correct, but it is not in the simplest term. To get the simplest term, you want to divide the numerator and denominator by the same number.
[tex]\frac{9}{24} =\frac{3}{8}[/tex]
Prove that for all n E N\{0}, n3 + 2n and n4 +3n2 +1 are relatively prime.
Answer:
Two expressions are relatively prime if their greatest common divisor is one.
Given the terms: [tex]n^3 + 2n$ and n^4 +3n^2 +1[/tex], [tex]n \in N|\{0\}}[/tex]
[tex]n^3 + 2n=n(n^2+2)\\n^4 +3n^2 +1$ is not factorizable\\[/tex]
Therefore, the greatest common divisor of the two expressions is 1.
Therefore, for all n in the set of natural numbers, (where n cannot be zero.) The two expressions are relatively prime.
ANSWER ASAP FOR BRANINETEST
Answer:
2 3/5
Step-by-step explanation:
Simply change the 1st fraction into improper form:
17/5 - 4/5
Then subtract
13/5
Then write into mixed fraction
2 3/5
Answer:
13/5 or 2 3/5
Step-by-step explanation:
Mr. Dylan asks his students throughout the year to record the number of hours per week they spend practicing math at home. At the end of the year, he creates a scatter plot that models the relationship between exam score and time spent practicing. Which line of best fit will give Mr. Dylan the most accurate linear equation in order to make predictions about this relationship?
Answer:
The 2nd Picture
Step-by-step explanation:
It makes the most sense picture wise as it covers the median between most of the points.
How is inflation, the output gap and monetary policy related 2. GDP definition includes Market value, final goods and services , production within acountry and a given period of time. Justify importance of using market value of final goods and services to cal GDP and explain why each component of GDP is important
Answer:
Check below
Step-by-step explanation:Hi,
Here's a little of Macroeconomics. Especially under Keynes's viewpoint and Economics.
1) These are intertwined concepts: The output gap, Monetary Policy, and Inflation.
Output Gap: This fits as a parameter that shows us if inflation or deflation. Usually, we notice it in case of inflation.
If the demand rises rapidly on a series of products and services an output gap occurs. And subsequently, the prices fly high due to the sudden pressures in the whole chain of supply, causing inflation.
Then the Government to face the inflation makes use of the Monetary policy to slow the inflation rate down is making use of interest rates. By doing that, the Fed or any other Central Bank makes the loans more expensive and helps to decrease the inflation rate.
2.
The Market Value on GDP is not steady, so it is not possible to talk about Gross Domestic Product and exclude how much does it value on the International Market. Let's say a country that almost only produces petrol its GDP is also directly linked to the International value of Petroleum.
Similarly, final goods and services also get into account. Since our economy services are also as valuable as a commodity, or a product, for instance, the banking services on Luxembourg are part of their GDP.
Moreover, a production within a country works like that if a Spanish man works temporarily in Belgium, the value of his work is credited to Spain's GDP.
And finally, since GDP is measured according to period then there's a need to get into account which period are we considering?
Find the measure of angle P.
Answer:
80°
Step-by-step explanation:
Inscribed angle QRP is half the measure of intercepted arc QP, so is ...
∠R = 90°/2 = 45°
The sum of angles in a triangle is 180°, so angle P is ...
∠P = 180° -55° -45°
∠P = 80°
6x + 1 ≥ 13 can u please solve this please i am stuck on it
Answer:
x ≥ 2
Step-by-step explanation:
Step 1: Isolate x
6x ≥ 12
Step 2: Divide both sides by 6
x ≥ 2
And we have our answer!
Answer:
x ≥ 2
Step-by-step explanation:
6x+1 ≥ 13
Subtracting both sides by 1
6x ≥ 13-1
6x ≥ 12
Dividing both sides by 6
=> x ≥ 2
