Answer:
0.1172
Step-by-step explanation:
The formula for the probability in a binomial distribution (n trials, r successes) is
[tex]\binom{n}{r}(p)^r(1-p)^{n-r}[/tex] where p is the probability of success.
For flipping a coin, the probability of success, p, is 0.5.
The number of trials, n, is 10. The number of successes, r, is 7. This gives us
[tex]\binom{10}{7}(0.5)^7(1-0.5)^{10-7}\\\\\binom{10}{7}(0.5)^7(0.5)^3=0.1171875 \approx 0.1172[/tex]
what is the coefficient of the term 13a in the expression 13a+6b
Find the reference angle for 697 degrees
Create a pattern with the rule n x 2 + 1
The pattern that can be created with the rule n x 2 + 1 is 1, 3, 5, 7, 9, 11
Given:
n × 2 + 1
= 2n + 1
where
n = number of terms
when n = 0
2(0) + 1
0 + 1
= 1
when n = 1
2(1) + 1
= 2 + 1
= 3
when n = 2
2(2) + 1
4 + 1
= 5
when n = 3
2(3) + 1
6 + 1
= 7
when n = 4
2(4) + 1
8 + 1
= 9
Therefore, the pattern that can be created with the rule n x 2 + 1 is 1, 3, 5, 7, 9, 11
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Factor each expression: 5a-25
Please help me with question 26
what is domain of g(x)= square root plus one
the value of the building owned by two veterinarians went from 125000 to 117500. What is the percent decrease
Rhoads earned $324.65 delivering newspapers. She promised her sister 0.2 of her earnings for helping her.How much does Rhoads owe her sister?
Do I have to subtract?? if not help me solve plz
Suppose you have two credit cards. The first has a balance of $410 and a credit limit of $1,000. The second has a balance of $510 and a credit limit of $1,000. What is your overall credit utilization? 36% 56% 46% 16% 26%
Factor.x ^2 + 17x + 72
Find factors of x^2 and 72, that, when combined, will give you 17x
x ^2 + 17x + 72
x 9
x 8
(x + 9)(x + 8) is your factor.
hope this helps
Your friend earns $10.50 per hour. This is 125% of her hourly wage last year. How much did your friend earn per hour last year?
What's the present value of $11,500 discounted back 5 years if the appropriate interest rate is 4.5%, compounded semiannually?
General Idea:
We need to make use of the below formula to find the present value.
[tex] PV=\frac{FV}{(1+\frac{r}{n})^{nt}} \\ \\ Where:\\ FV \; is \; Future\; Value\; of \; money\\ r \; is\; Annual\; rate\; of\; interest\\ t\; is\; number\; of\; years\\ n\; is\; Number\; of\; periods\; based\; on\; compounding \; frequency [/tex]
Applying the Concept:
We are given the below information:
[tex] FV= \$11,500\\ \\ t=5\; years\\ \\ r=4.5 \%\\ \\ n=2\; (because\; given\; compounded\; semi-annually) [/tex]
We need to substitute the above information in the formula to find the Present value.
[tex] PV=\frac{11500}{(1+\frac{0.045}{2})^{2 \times 5}} =\frac{11500}{(1+0.0225)^{10}} =\frac{11500}{1.0225^{10}} \\ \\ PV \approx \$9206 [/tex]
CONCLUSION:
The present value of $11,500 discounted back 5 years if the appropriate interest rate is 4.5%, compounded semiannually is approximately 9206 dollars
In a multiple regression analysis what would likely be the culprit of a dramatic increase in the P-value of one of the variables?
You have 10 different video games. how many different ways can you arrange the games side by side on a shelf
You can arrange the games side by side on a shelf in "3628800" ways.
According to the question,
Number of video games,
10Now,
The amount of possible ways could you place the games side by side on some kind of shelf will be:
= [tex]10![/tex]
= [tex]10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1[/tex]
= [tex]3628800[/tex]
Thus the response above is appropriate.
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which of the following shows an equivalent expression to (5 times 3)times 12 if only associative property was used to transform the expression
⇒Associative Property states
A × (B ×C)=(A×B)×C=(A×C)×B
Now, we have to find equivalent expression of
[tex](5 \times 3) \times 12 \\\\1.\rightarrow 5 \times (3 \times 12)\\\\2.\rightarrow (5 \times 12) \times 3\\\\3 \rightarrow 180[/tex]
A magazine claims that 75% of all teenage boys have their own cellphones. A researcher wished to test the claim and selected a random sample of 60 teenage boys. She found that 54 had their own cell phones. At α = 0.01, should the claim be rejected?
George has $23 to spend on art supplies he wants to buy markers papers and glue if the total cost of markers and papers is more than $14 which inequality represents the dollar amount P George can spend on glue
5x+13≥−37. Find the solution set of the inequality.
The solution of the inequality 5x + 13 ≥ − 37 will be greater than or equal to negative 10.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
5x + 13 ≥ − 37
Simplify the inequality for 'x', then we have
5x + 13 ≥ − 37
5x ≥ − 50
x ≥ − 10
The solution of the inequality 5x + 13 ≥ − 37 will be greater than or equal to negative 10.
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a juice can is shaped like a cylinder ]. it is 12 centimeters wide and 16 centimeters tall. find its volume to the nearest whole number . use 3.14
To find the volume of the cylinder-shaped juice can, calculate using the formula V = π r² h with the radius being half of the can's width and the given height. The volume is found to be approximately 1804 cm³ when rounded to the nearest whole number.
Calculating the Volume of a Cylinder:
To calculate the volume of a cylinder, you should use the formula V = π r² h. First, we need to determine the radius of the juice can. Since it is given that the can is 12 centimeters wide, that means the diameter is 12 centimeters, and therefore, the radius (r) is half of that, which is 6 centimeters. We also have the height (h) of the can, which is 16 centimeters. Plugging these values into the formula gives us:
V = 3.14 × 6² × 16
Now, we calculate:
V = 3.14 × 36 × 16
V = 3.14 × 576
V = 1803.84 centimeters cubed (cm³)
When we round this to the nearest whole number, the volume of the juice can is approximately 1804 cm³.
a total of 324 tickets were sold for the school play they were either adult tickets or student tickets the number of student tickets sold was three times the number of adults tickets sold how many adult tickets were sold?
The correct answer is 81
Final answer:
To find the number of adult tickets sold when a total of 324 tickets were sold for a school play and student tickets were three times the number of adult tickets, we set up the equation x + 3x = 324, solved for x, and found out that 81 adult tickets were sold.
Explanation:
The question is asking us to find out how many adult tickets were sold when a total of 324 tickets were sold for a school play, with the number of student tickets being three times the number of adult tickets sold. To solve this, we let x represent the number of adult tickets. Therefore, 3x will represent the number of student tickets since there are three times as many student tickets as adult tickets.
The equation representing the total number of tickets sold would be: x (adult tickets) + 3x (student tickets) = 324. Simplifying, we have 4x = 324. Dividing both sides by 4 gives us x = 81.
Therefore, the number of adult tickets sold is 81.
A website is offering a promotion, during which customers can buy up to 100 photos for a flat fee. The cost per photo varies inversely with the number of photos a customer buys, as shown in the table below. What functions model the data?
Your answer is nc=100
What is the area of a figure 36m×21×10×9×8×23×4×7×
If a salesperson sells 3/4 of an acre for $80,000, what was the price per square foot rounded to two decimal spaces?
Following are the calculation to the given question:
Given:
salesperson sells[tex]\bold{= \frac{3}{4}}[/tex]
acre= 80,000
To find:
price per square foot rounded to two decimal spaces=?
Solution:
Therefore
[tex]1 \ acre=43560\ foot \\\\ \frac{3}{4}\ acre=32670\ foot[/tex]
Calculation
[tex]32670 \ sq \ foot = \$80,000 \\\\1 \ sq \ foot =? \\\\[/tex]
Calculating the price:
[tex]=\frac{80,000}{32670}=2.4487 \approx 2.45[/tex]
Therefore, the final answer is "$2.45".
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Angle D is a vertical angle to F. The measure of D is 53° . What is the measure of F?
Angle F will have the same measure as angle D, which is 53°, because they are vertical angles and thus congruent.
Explanation:The question asks about the measure of angle F given that it is a vertical angle to angle D, which measures 53°. In geometry, vertical angles (also known as opposite angles) are pairs of non-adjacent angles formed when two lines intersect. Vertical angles are congruent, which means they have the same measure. Therefore, since angle D is 53°, angle F, being its vertical angle, will also have a measure of 53°.
Angle D and angle F are vertical angles, which means they are congruent. If angle D measures 53°, then angle F will also measure 53°. This is because vertical angles are equal in measure.
What has an infinite number of points extending in opposite directions that has only one dimension
It is 20 minutes after 8:00 what is the correct way to write the time.
complete the steps to solve the polynomial equation x3-21x=-20 according to the rational root theorem, which number is a potential root of the polynomial?
(Multiple Choice Worth 4 points) (05.01)A flower bed is in the shape of a triangle, with a base of 13 feet and a height of 5 feet. What is the area of the flower bed?
A 18 square feet
B 32.5 square feet
C 65 square feet
D 130.5 square feet
Answer:
b
Step-by-step explanation:
I need help !! This packet is due tomorrow and I have no idea what I’m doing .
Answer:
Given is :
∠M≅∠X
∠N≅∠Y
YO≅NZ
We have to prove that ΔMNO≅ΔXYZ
Using segment addition postulate we get YZ=YO+OZ and ON=NZ+OZ and YO=NZ is already given. Using substitution of YO for NZ; we get ON=YO+OZ
Now substituting YZ for YO+OZ we get ON=YZ and also YZ=YO+OZ.
Now applying AAS we get ΔMNO is congruent to ΔXYZ because of angle-angle-side theorem as we have already proved that two sides are congruent and a non-included angle in each triangle is congruent.
Elias purchases a home for $38,900. The value of the home, in thousands of dollars, since his purchase is shown in the table. Find an exponential function that models the data. Round numerical values to the nearest hundredth. Let x be the number of years since the purchase. The function f(x) =()x models the data. Use the model to predict the home’s value. After 12 years, the home’s value will be about $thousand. After 35 years, the home’s value will be about $thousand.
Answer:
f(x)=39.59
(1.09)
After 12 years: 111
After 35 years: 808
The exponential function models the data would be f(x) = 39.59 (1.09). After 12 years, the home’s value will be about $111 thousand and After 35 years, it will be about $808 thousand.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
Elias purchases a home for $38,900.
Let x be the number of years since the purchase. The function f(x) =()x models the data.
f(x) = 39.59 (1.09)
by using the model to predict the home’s value.
After 12 years, the home’s value will be about $
111 thousand.
After 35 years, the home’s value will be about $
808 thousand.
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