Answer:
A
Step-by-step explanation:
Solve the problem.
A die is rolled 9 times and the number of times that two shows on the upper
face is counted. If this experiment is repeated many times, find the mean for the
number of twos.
3
1.5
2.25
о
7.5
Answer:
1.5
Step-by-step explanation:
A bag contains 10 green,8 blue, and 2 white balls. Naomi seclets 2 balls from the bag at random, one at a time, without replacing them. What is the probability that she selects all two white balls?
E.) 2/95
F.) 1/95
G.) 1/190
H.) 1/380
To find the probability that Naomi selects both white balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Total number of outcomes:
Naomi selects 2 balls without replacement, so the total number of outcomes is the number of ways she can choose 2 balls out of the total number of balls in the bag. This can be calculated using combinations:
Total outcomes = C(20, 2) = (20!)/(2!(20-2)!) = (20 * 19)/(2 * 1) = 190
Number of favorable outcomes:
Naomi needs to select 2 white balls. There are 2 white balls in the bag, so the number of favorable outcomes is the number of ways she can choose 2 white balls out of the 2 white balls in the bag:
Favorable outcomes = C(2, 2) = 1
Probability = Favorable outcomes / Total outcomes = 1/190
Therefore, the correct answer is (G) 1/190.
whatre the values of x and y
By using the concept of internal angles of a triangle, the solution of the system of linear equations related to the geometrical system is (x, y) = (40, 40).
What are the values of two variables associated with two angles from a right triangle?
In this system we have a geometrical system formed by two right triangles with a common hypotenuse. Right triangles are triangles where one of its internal angles are right angles and the sum of the measures of the internal angles within a triangle equals 180°. Then, this geometrical system can be modelled by using the following linear equations:
(x + 20) + 90 + 30 = 180 (1)
20 + 90 + (y + 30) = 180 (2)
By using the concept of internal angles of a triangle, the solution of the system of linear equations related to the geometrical system is (x, y) = (40, 40).
To learn more on right triangles: https://brainly.com/question/4364353
#SPJ1
The amount of money in a savings account after t years is represented by the function f(t)=500(1.015)t.
What does the value 500 represent in this situation?
The amount of money in the savings account increases by $500 each year.
The amount of money in the savings account is 500 times the amount of the previous year.
The amount of money in the savings account decreases by $500 each year.
The initial amount in the account is $500.
Answer:
It should be the amount of amount of money that increases by 500$ each year
Step-by-step explanation:
after t years is represented
Answer: I just did the test and the answer is "The initial amount in the account is $500."
Step-by-step explanation:
HELP PLS LAST QUESTION I WILL MARK BRAIN :D
Answer:
6
Step-by-step explanation:
the answer to the question is 6 :D
What is the slope, m, and the y-intercept of the line that is graphed below?
On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).
Answer:
Slope: 1
Y-intercept: (0,3)
Step-by-step explanation:
The y intercept is when the slope reaches the y-axis line. In this case, it is given to us. Anything that is formed like this: (0, y) is the y-intercept.
Y intercept: (0, 3)
For slope, you can use the formula rise over run. \(\frac{Rise}{Run}\)
From the picture, I have drawn the rise over run, which is \(\frac{3}{3}\), which is also 1.
Slope: 1
Hope this helped.
Answer: 1
Step-by-step explanation: got it right on edge
Ez points-
2.72 divided by 3
Answer:
2.72/3=0.907 (correct to three decimal places)
Step-by-step explanation:
Rectangle ABCD is translated to produce image EFGH. Which statement is
true?
Therefore, the correct statement is:" D corresponds to E." that is option B.
What is rectangle?A rectangle is a four-sided flat shape with four right angles (90-degree angles) between its sides. It is a type of parallelogram that has two pairs of opposite sides that are parallel and congruent (equal in length), and all four angles are right angles. In a rectangle, the opposite sides are equal in length, which means that the width (or height) of the rectangle is the same throughout. The length of a rectangle is the longer side, while the width (or height) is the shorter side. The perimeter of a rectangle is the sum of the lengths of all its sides, while the area is the product of its length and width. These formulas are often used to calculate the dimensions of a rectangle or to solve problems related to its area or perimeter. Rectangles are used in many applications such as architecture, engineering, mathematics, and art, and they are commonly found in everyday objects such as books, windows, doors, and computer screens.
Here,
In a translation, every point on the preimage (the original figure) moves the same distance and in the same direction to become a point on the image (the translated figure).
To determine which statement is true, we can look at the corresponding vertices of the rectangle ABCD and its image EFGH.
A corresponds to E, B corresponds to F, C corresponds to G, and D corresponds to H.
To know more about rectangle,
https://brainly.com/question/29068457
#SPJ1
What is 1/4 divided by 1/12
Answer: 0.0208333333
Step-by-step explanation: one way you could do it is -->1/4 ≈ 0.25 and 1/12 ≈ 0.0833333333333333
so then
0.25 ÷ 0.0833333333333333 = 0.0208333333
If you'd like to check the answer, use a calculator.
1/4 ÷ 1/12 = 0.0208333333
hope this helps :)
Ms. Nutchern uses 145 beans (or 50% of the can) to make a pot of chili. How many beans are in the
Can
Answer: 290 beans
Step-by-step explanation:
You multiply 145 by 2 since 145 is half of the beans or do 145 divided by 1/2.
145 * 2 = 290.
145/.5 = 290
Hope this helps!!! :)
Using principle of mathematical induction prove that 6^-1 divisble by 5 .
I suppose the claim is \(5 \mid 6^n - 1\) for \(n\in\Bbb N\).
When \(n=1\), we have \(6^1 - 1 = 6 - 1 = 5\), and of course 5 divides 5.
Assume the claim holds for \(n=k\), that \(5 \mid 6^k - 1\). We want to use this to show it holds for \(n=k+1\), that \(5 \mid 6^{k+1} - 1\).
We have
\(6^{k+1} - 1 = \left(6^{k+1} - 6\right) + \left(6 - 1) = 6\left(6^k - 1\right) + 5\)
Since \(5 \mid 6^k - 1\), we can write \(6^k - 1 = 5\ell\) for some integer \(\ell\). Then
\(6^{k+1} - 1 = 6\cdot5\ell + 5 = 5(6\ell + 1)\)
which is clearly divisible by 5. QED
A 799.99 television is selling for 13% off. Find the final price of the television if the sales tax is 6%
Calculate the side lengths a and b to two decimal places
Answer:
E
Step-by-step explanation:
using the Sine rule in Δ ABC
\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C
we require to calculate ∠ C
∠ C = 180° - (64 + 85)° = 180° - 149° = 31°
then to find a , using
\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)
\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )
a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )
then to find b , using
\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )
b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )
A college administrator claims that the proportion of students that are nursing majors is greater than 40%. To test this claim, a group of 400 students are randomly selected and it's determined that 190 are nursing majors. The following is the setup for this hypothesis test: H0:p=0.40 Ha:p>0.40 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.
The p-value for this hypothesis test was 0.001
A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a collection of provided observations. Using sample data, hypothesis testing is performed to judge a theory's veracity. It is sometimes referred to as the "null," and its symbol is H0.
The alternative hypothesis states your research prediction of an effect or relationship.
Using the information below:
H0:p=0.40 (null hypothesis) (null hypothesis)
Ha:p>0.40 (alternative hypothesis)
It was established that the p-value was 0.001.
a 5% significance threshold
We shall rule out the null hypothesis because the p-value (0.001) is smaller than the significance level (0.05), which means that the proportion of students majoring in nursing is higher than 0.4.
Learn more hypothesis at:
https://brainly.com/question/11555274
#SPJ4
A 12 oz box of sugar costs $3.10 and a 36 oz box of sugar costs $7.90. Which box of sugar is the better buy?
Answer: 36 oz box
Step-by-step explanation:
3.1/12=0.258333
7.9/360.291444
Thus, the 36 oz box is the better buy
A seller has a house that is 1483 square feet. The neighborhood comps show the line of
best fit to be y = 0.071x + 52.48. What is a fair price for this house? Round your answer to
the nearest thousand.
9514 1404 393
Answer:
158,000
Step-by-step explanation:
Using the given square feet for x in the equation, we have ...
y = 0.071×1483 +52.48 = 157.773
We presume this is supposed to represent the estimated value of the house in thousands.
The fair price is estimated to be 158,000.
If $14,000 is invested at 7% annual interest, which is compounded continuously, what is the account balance after 12 years, assuming no additional deposits or withdrawals are made?
the account balance after 12 years of continuous compounding at 7% annual interest, assuming no additional deposits or withdrawals are made, would be $32,447.44.
The formula for continuous compounding is:
A = P\(e^(rt)\)
where:
A = the final amount
P = the principal amount (initial investment)
e = the mathematical constant approximately equal to 2.71828
r = the annual interest rate
t = the time in years
Plugging in the given values, we get:
A = 14000\(e^(0.0712)\)
A = 14000*\(e^0.84\)
A = 14000*2.31796
A = $32,447.44
Compound interest is a type of interest that is calculated not only on the initial principal amount, but also on the accumulated interest from previous periods. In other words, interest is added to the principal amount, and then interest is calculated on the new total amount.
Learn more about compounding here:
https://brainly.com/question/13516179
#SPJ1
9) What 2 numbers have a total of 28 and a difference of 6?
Answer:
Sum: 17 + 11 = 28
Difference: 17 - 11 = 6
Step-by-step explanation:
The sum of x and y is 28. In other words, x plus y equals 28 and can be written as equation A:
x + y = 28
The difference between x and y is 6. In other words, x minus y equals 6 and can be written as equation B:
x - y = 6
Now solve equation B for x to get the revised equation B:
x - y = 6
x = 6 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 28
6 + y + y = 28
6 + 2y = 28
2y = 22
y = 11
Now we know y is 11. Which means that we can substitute y for 11 in equation A and solve for x:
x + y = 28
x + 11 = 28
X = 17
Summary: The sum of two numbers is 28 and their difference is 6. What are the two numbers? Answer: 17 and 11 as proven here:
Sum: 17 + 11 = 28
Difference: 17 - 11 = 6
Answer:
17 +11 = 28
hope this helps
Simplify 3/4(1/2x-12)+4/5
Answer:
3x/8 - 41/5
Step-by-step explanation:
Simplify each term.
3x/8 − 9+4/5
To write −9 as a fraction with a common denominator, multiply by 5/5
3x/8−9 x 5/5 + 4/5
Combine −9 and 5/5
Combine the numerators over the common denominator.
3x/8 + −41/5
Move the negative in front of the fraction
3x/8 - 41/5
Hope this helps you
Which of the following sets of data does NOT represent a function?
a. Set A
b. Set B
c. Set C
d. Set D
Answer:
D
Step-by-step explanation:
Set D is not a functions. Functions are defined as each x having only 1 y value associated with it. 2 in the x column has two values associated with it: 1 and 2
D is not a function.
2x^4y^3(5x) simplify fully
Answer:
the answer is (2•5x5y3)
Step-by-step explanation:
1. (2x4 • y3) • 5x
Multiplying exponential expressions
2. x4 multiplied by x1 = x(4 + 1) = x5
Final result :
(2•5x5y3)
Sorry if I'm wrong
Answer:
10 x ^5 y^ 3
Step-by-step explanation:
20. Find the unknown angle measures.
51°
53°
The unknown angle measures are d = 76, c = 53, a = 51 and b = 76
Finding the unknown angle measures.From the question, we have the following parameters that can be used in our computation:
The lines
The sum of angles on a line is 180
So, we have
b = 180 - 51 - 53
b = 76
By vertical angle theorems, we have
d = 76
c = 53
a = 51
Read more about angles at
https://brainly.com/question/31898235
#SPJ1
zy+y2 when y=−3 and z=−3.
The value of the expression when z = -3 and y = -3 is 18
What are algebraic expressions?An algebraic expression can be defined as an expression which is made up of variables and constants, along with algebraic operations such as addition, subtraction, division, multiplication and some others.
From the information given, we have;
zy + y²y = -3x = -3Now, let's substitute the value of y as -3 and that of z as -3
We have;
= zy + y²
= -3( -3) + ( -3)²\
Expand the bracket
= 9 + 9
Add the values
= 18
Thus, the value of the expression when z = -3 and y = -3 is 18
Learn more about algebraic expressions here:
https://brainly.com/question/4344214
#SPJ1
true or false? i the following table a function?
Answer:
yh its true
Step-by-step explanation:
9514 1404 393
Answer:
True
Step-by-step explanation:
No x-value is repeated, so the table represents a functional relation.
\(\boxed{\textsf{True}}\)
3^17 mod 25. Can anyone tell me how they got 6?
17 in binary is 10001.
How to Convert 17 in Binary?
Step 1: Divide 17 by 2. Use the integer quotient obtained in this step as the dividend for the next step. Repeat the process until the quotient becomes 0.
Write the remainder from bottom to top i.e. in the reverse chronological order. This will give the binary equivalent of 17.
Therefore, the binary equivalent of decimal number 17 is 10001.
Learn more about binary number click;
https://brainly.com/question/31102086
#SPJ1
Find the midpoint of the segment with the following endpoints.
(9, 2) and (5,5)
Answer:
(7,3.5)
Step-by-step explanation:
Midpoints
x = (x1 + x2)/2 = (9 + 5)/2 = 14/2 = 7
y = (y1 + y2)/2 = (2 + 5)/2 = 7/2 = 3.5
Please help is for now
Answer:
3 is write I've told to sir and he told write
Maria wants to spend less than $110. She wants to buy some shirts, s.
that are priced at $9 each. She also decided to buy a pair of high heels for
$60. WRITE THE INEQUALITY that represents the word problem to
determine the number of shirts she can buy.
she can buy 5 shirts
A college job placement center has requests from five students for employment interviews. Three of these students are math majors, and the other two students are statistics majors. Unfortunately, the interviewer has time to talk to only two of the students. These two will be randomly selected from among the five. What is the sample space for the chance experiment of selecting two students at random
Answer:
Step-by-step explanation:
The following is the information provided
number of students is 5
The number of math major = 3
The number of statistic major = 2
Label math students as A, B, C
And statistic students as D, E
The total number of ways to select two students from 5 students is 10
The sample space is S = {AB,AC,BC,AD,AE,BD,BE,CD,CE,DE}
Yes , in the sample space the events are equally alike
What is the probability that both selected students are statistics majors
The selected students of statistic major are DE
the probability that both selected students are statistics majors is \(\frac{1}{10}\)
= 1/10
What is the probability that both students are math majors
The selected students of statistic major are AC,AB,BC
the probability that both selected students are math majors is \(\frac{3}{10}\)
= 3/10
What is the probability that at least one of the students selected is a statistics major
Number of ways to select at least one of the students selected is a statistic major is {AD,AE,BD,BE,CD,CE,DE}
the probability that at least one of the students selected is a statistics major is \(\frac{7}{10}\)
7/10
What is the probability that the selected students have different majors
Number of ways to select students with different major is {AD,AE,BD,BE,CD,CE,}
the probability that the selected students have different majors is \(\frac{6}{10}\)
6/10
A basketball player took 20 shots from the court during a game, and made 35% of them. How many shots did he make
Answer:
7
Step-by-step explanation:
35% of 20 is seven