Answer:
The probability that Jason will get exactly 7 strikes out of 10 attempts is 0.117.
Step-by-step explanation:
We are given that Jason is a very good bowler and has proven over the course of a season of league play that he gets a STRIKE 50% of the time.
Also, Jason has been given 10 attempts.
The above situation can be represented through binomial distribution;
[tex]P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......[/tex]
where, n = number trials (samples) taken = 10 attempts
r = number of success = 7 strikes
p = probability of success which in our question is % of the time
he gets a strike, i.e; p = 50%
Let X = Number of strikes Jason get
So, X ~ Binom(n = 10, p = 0.50)
Now, probability that Jason will get exactly 7 strikes out of 10 attempts is given by = P(X = 7)
P(X = 7) = [tex]\binom{10}{7} \times 0.50^{7} \times (1-0.50)^{10-7}[/tex]
= [tex]120 \times 0.50^{7} \times 0.50^{3}[/tex]
= [tex]120 \times 0.50^{10}[/tex]
= 0.117
Therefore, the probability that Jason will get exactly 7 strikes out of 10 attempts is 0.117.
The probability that Jason will get exactly 7 strikes out of 10 attempts can be calculated using the binomial probability formula with a 50% strike rate.
The probability that Jason will get exactly 7 strikes out of 10 attempts, given a 50% strike rate, can be calculated using the binomial probability formula:
P(X = k) = C(n, k) * p[tex]^{(k)}[/tex] * (1 - p)[tex]^{(n - k)}[/tex]
n = number of trials (10)k = number of successful trials (7)p = probability of success (0.5, or 50%)Using the formula, we get:
P(X = 7) = C(10, 7) * (0.5)⁷ * (0.5)⁽¹⁰⁻⁷⁾
Calculating the combination C(10, 7) and following the formula yields the specific probability value for Jason to get exactly 7 strikes in 10 attempts.
Find the value of x in the triangle above
Answer: x = 8
Step-by-step explanation: So you have 3 sides and 3 numbers. Identify the side that has a number without a variable. (This goes for both triangles) Then you divide the 1st number by the 2nd. In this case it would be 20 or side "B" divided by 5 or side "E", which equals 4. You then take 4 and multiply it by 4 or side "D" (Because it's the only other side that does not have a variable) and you take your answer (16) and 2x or side "A", and make an equation. The equation would be : 2 * x = 16. Now solve the equation. Your answer is : x = 8.
What is the period of this graph?
Answer:
Period is time between the two peaks.
Period = 4.114 - 1.870
Period = 2.244 seconds
Step-by-step explanation:
Answer:
p=2.244 and b = 2.8
Step-by-step explanation:
edge 2023
Heather is making two different pies if the first pie needs 6.25 cups of flour and the second pie needs 4.5 cups of flour how much flour will heather need in all
Answer:
The answer is 9.75
Step-by-step explanation:
6.25
4.50
Equals 9.75
You have to add a 0 after the 5 in 4.5 because the 5 is in the tenths place.
Sorry if it isn’t right, that’s how I was taught.
help, Find the circumference of the circle. Round your answer to the nearest hundredth.
Answer:
18.85
Step-by-step explanation:
2 x π x 3
18.8496
Rounded to nearest hundredth: 18.85
Two angles in a triangle measure 28° and 939. What is the measure of the third angle?
59
87
121
152
The area of a kite ABCD is 72cm2 and one diagonal is 18cm long. Find the length of the other diagonal.
Answer:
8cm
Step-by-step explanation:
1/2 × 18b = 72
9b = 72
b = 72/9
b = 8
Answer:
Answer:
8 cm
Step-by-step explanation:
1/2 × 18 b = 72
9 b = 72
b = 72/9
b = 8
Matt has $900 in a checking account, has $15,000 in investments, owns an
$8000 car, and owns a $30,000 house. What is the total value of his large
assets
The total value of Matt's large assets, which include his investments, car, and house, adds up to $53,000.
Explanation:The student is asking about calculating the total value of large assets that Matt owns. To find this, we add up the value of the investment, car, and house as these are considered large assets. The checking account is generally not included in large assets, as it is considered liquid cash rather than an asset of substantial value like property or investments.
Investments: $15,000Car: $8,000House: $30,000We calculate the sum of these amounts to get the total value of Matt's large assets:
$15,000 + $8,000 + $30,000 = $53,000
Therefore, the total value of Matt's large assets is $53,000.
Jace gathered the data in the table. He found the approximate line of best fit to be y = –0.7x + 2.36.
A 2-column table with 5 rows. The first column is labeled x with entries 0, 1, 4, 5, 7. The second column is labeled y with entries 3, 1, 0, negative 2, negative 2.
What is the residual value when x = 5?
Answer:
B on ed!!!!
Step-by-step explanation:
(-0.86)
The residual value when x = 5 is -0.86.
What is meant by Residual Value?Residual value is defined as the difference of the value that we predicts with that of the observed value.
It is given that,
Line of best fit is,
y = –0.7x + 2.36
Predicted value at x = 5 is,
y = -0.7 × 5 + 2.36 = -1.14
Observed value at x = 5 is y = -2
Residual value = Observed value - Predicted value
= -2 - -1.14
= -0.86
Hence the residual value is -0.86.
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Find the equation of the line that has slope of 7 and passes through the point (-9,2).
Answer:
y=7x+65
Step-by-step explanation:
You want to find the equation for a line that passes through the point (-9,2) and has a slope of 7.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was 7. So you can right away fill in the equation for a line somewhat to read:
y=7x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(-9,2). When x of the line is -9, y of the line must be 2.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 7 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-9,2).
So, why not plug in for x the number -9 and for y the number 2? This will allow us to solve for b for the particular line that passes through the point you gave!.
(-9,2). y=mx+b or 2=7 × -9+b, or solving for b: b=2-(7)(-9). b=65.
The equation of the line that passes through the point (-9,2) with a slope of 7
is
y=7x+65
Have a nice day!
need answer 1-4 please worth 30!
ANSWER QUICKLY ASAP.
Which of the following is an expression for” twice a number n divided by 3” A. 2/3n B. 2n/3 C. 2+n/3 D. n2/3
Answer:
B) 2n/3
Step-by-step explanation:
twice a number n = 2 * n = 2n
divided by 3 = 2n/3
Answer:
d
Step-by-step explanation:
prove that 7 + 3 root 2 is not a rational number
Answer:
Step-by-step explanation:
let 7 + 3√2 be an rational number where
7+3√2 = a/b [ a and b are coprime and b is not equal to zero]
3√2= a/b-7
3√2 =( a-7b) /b
√2 = (a-7b) /3b .....(i)
Now ,from equation (i) ,we get that √2 is rational but we know that √2 is irrational. so actually 7 + 3√2 is irrational not rational. thus our assumption is wrong. The number is irrational.
Answer:
Prove by contradiction.
See below.
Step-by-step explanation:
Assume it is rational, then:
Let x = 7 + 3√2 = p/q where p and q are integers and p/q is in simplest form.
x^2 = 49 + 42√2 + 18 = p^2/q^2
67q^2 = p^2 - 42√2q^2
67q^2 - p^2 = -42√2 q^2
67q^2 - p^2 is rational and q^2 is rational so that makes -42√2 rational.
but we know that -42√2 is irrational, so our original assumption is not true.
Which statement is true?
The solution is x = 3.
The solutions are x = -2 and x = 3.
There are no solutions.
There are infinite solutions.
DONE
Answer:
its c
Step-by-step explanation:
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
Solve 3z divided by 2=9
Answer:
z=6
Step-by-step explanation:
3z/2=9
3x6=18/2=9
Expand
3m (m +1)
???????????????
Answer:
3m^2+3
Step-by-step explanation:
Step 1: First you have your equation or something.
3m (m+1)
Step 2: You multiply the parenthesis with the number.
Step 3: Then 3m to the parenthesis if you have 3m and m will convert to m^2.
Step 4: Your answer would be 3m^2+3
Answer:
So you solve it .... 3m^2+ 3m
Step-by-step explanation:
Can someone please help
Answer:
C
Step-by-step explanation:
We need to use the distance formula, which says that for two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the distance between them is:
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here, the two points are (-2.5, 4.5) and (4.75, 4.5), so:
d = [tex]\sqrt{(4.75-(-2.5))^2+(4.5-4.5)^2}=\sqrt{(7.25)^2+(0)^2}=7.25[/tex] = 7 1/4
The answer is C.
Answer:
7¼ units
Step-by-step explanation:
Since the y-coordinate is the same, the two points lie on the same horizontal line
No vertical distance
Only horizontal distance of:
4¾ - (-2½)
4.75 + 2.5
7.25 units
Or
7¼ units
Use the graph to estimate the solution of the system. x + 2y = 5, –x + 3y = 6 Which integers is the x-value between? What is the x-value to the nearest tenth? Which integers is the y-value between? What is the y-value to the nearest tenth?
Answer:
look at this and there’s ur answer
Step-by-step explanation:
The solution of the given system of equations using the graph is (0.6,2.2) so x is between 0 and 1 and y is between 2 and 3.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
As per the given system of equations,
x + 2y = 5, –x + 3y = 6
Both systems of the equation have been plotted below.
The intersection point will be a solution as (0.6,2.2).
0 < 0.6 < 1 and 0.6 can be rounded to the nearest tenth as 0.6.
2 < 2.2 < 3 and 2.2 can be rounded to the nearest tenth as 2.2.
Hence "The solution of the given system of equations using the graph is (0.6,2.2) so x is between 0 and 1 and y is between 2 and 3".
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Find the value of (5n+3)-(2n-5)when n=4
Answer:
F(n) = (5n + 3) - (2n - 5)
F(4) = (5*4 + 3) - (2*4 - 5)
= 20 + 3 - 8 + 5
= 20
Hope this helps!
:)
Answer:
20
Step-by-step explanation:
(5n+3)-(2n-5) =
= (5×4+3) - (2×4-5)
= (20+3) - (8-5)
= 23 - 3
= 20
Mr. Jackson likes to play a game in which rolling a 4 on a number cube doubles your score. He wants to know the probability that he will roll a 4 exactly 3 times out of 10 rolls. I need four reasons this is an example of a binomial experiment.
Answer:
1. There are a fixed number of trials
2. There are two outcomes: success (getting a 4) and failure (not getting a 4)
3. You know the probability of success and it is the same for each trial
4. You are looking for the probability of getting a 4 exactly 3 out of 10 times. When you're looking for the probability of getting exactly x number of successes in n trials, that is a binomial probability distribution.
Step-by-step explanation:
Which of the following describes the function −x4 + 1
where are the choices for the question?
Write the following number in expanded form: fifty-four and elght tenths
Answer:
50 + 4 + . 8/10 I think
Step-by-step explanation:
54.8
The number 'fifty-four and eight tenths' in expanded form is represented as 50 + 4 + 0.8. Each digit's place value is broken down in this representation.
Explanation:The number 'fifty-four and eight tenths' is typically represented in decimal form as 54.8. In expanded form, we break down each digit's place value. Here are the steps:
Look at the digits in the number 54.8. The '5' is in the tens place and the '4' is in the ones place. Express the '5' in the tens place as 50 because 5 tens equals 50. Express the '4' as 4 because it is in the ones place. The '.8' represents eight tenths, so it can be written as 0.8.
When combined, the expanded form of 54.8 is 50 + 4 + 0.8.
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What is one way to summarize all of the values of a data set with a single number?
Thank you
Answer:
A measure of central tendency
Step-by-step explanation:
A measure of central tendency summarizes all of the values in a data set with one number.
A measure of central tendency describes how the values in a data set vary with a single number.
the three main measure of central tendency are the mean, median, and mode, all this three are single values attributed to values of a distribution.
The mean is the average value of a distribution
while the median is the middle value of a distribution and
the mode is the most occurrence value among the distribution.
If another 10-year old were to join the baseball team shown in the scatter plot below, what is the best estimate for his height?
A.) 55 in
B.) 64 in
C.) 58 in
D.) 60 in
Answer:
55
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
WILL GIVE BRAINLIEST!
Deanna collected data on the favorite sports of the students of two grades. The table shows the relative frequencies of rows for the data collected:
Favorite Sport
Swimming Running Volleyball Row totals
Grade 8 0.14 0.18 0.22 0.54
Grade 9 0.17 0.24 0.05 0.46
Column totals 0.31 0.42 0.27 1
Based on the data, which statement is most likely correct?
A) In Grade 8, 14 students liked swimming.
B) In Grade 9, 31% of students liked swimming.
C) In Grade 8, 22% of students liked volleyball.
D) In Grade 9, 5 students liked volleyball.
Answer:
In Grade 8, 22% of students liked volleyball.
Step-by-step explanation:
I toke the exam
Steve is making a circular shield with a radius of 11 inches for a school play. What approximate length of cardboard does he need to make the outer border of the shield?
Step-by-step explanation:
It is given that, Steve is making a circular shield with a radius of 11 inches for a school play. We need to find the length of cardboard he need to make the outer border of the shield. It means that we need to find the circumference of the circular shield of radius 11 inches.
So,
[tex]C=2\pi r\\\\C=2\times 3.14\times 11\\\\C=69.08\ \text{inches}[/tex]
So, he will need 69.08 inches of cardboard to make the outer border of the shield.
Write log8 16= 4/3
in exponential form
Can I just get the formula? I don’t remember it
Answer:
16 = [tex]8^{\frac{4}{3} }[/tex]
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
Given
[tex]log_{8}[/tex] 16 = [tex]\frac{4}{3}[/tex], then
16 = [tex]8^{\frac{4}{3} }[/tex] ← in exponential form
Suppose a number cube is rolled twice. what is the probability that an odd number will show both times?
Answer:
1/4 or 25%Step-by-step explanation:
Suppose half on numbers are odd, then for each roll the probability is 1/2
So for two rolls the probability is:
1/2*1/2 = 1/4 or 25%What is the measure of angle A?
(3y + 27)
What is the measure of angle B?
(5y - 3)º
Answer:
72
108
Why?
It came back as correct
Using the greatest common factor for the terms, how can you write 56 + 32 as a product?
A) 4(14 + 8)
B) 7(4 + 8)
C) 8(7 + 4)
D) 14(4 + 2)
PLZ HELP
Answer:
8(7+4) (C.)
Step-by-step explanation:
What is the biggest number that goes into 56 and 32?
8!
So then you have to divide both numbers by 8 like so:
[tex]56/8 + 32/8[/tex]
and put the 8 on the outside...
8(7+4)