Answer:
Step-by-step explanation:
Reflection over the x axis ;vertical shift down 7 units
How are the hypotenuse and legs of a right triangle related?
Answer:
The sum of the legs is equal to the hypotenuse.
Step-by-step explanation:
I hope that this helps u..
Answer:
The relation between the sides and angles of a right triangle is the basis for trigonometry. The side opposite the right angle is called the hypotenuse (side c in the figure). The sides and the adjacent to the right angle are called legs (or catheti, singular: cathetus).
4. Calculate the expected value for the spinner at right?
(3pts)
8
1200
24
6
Answer: The expected value is 12.44
Step-by-step explanation:
The expected value can be calculated as:
EV = ∑xₙ*pₙ
Where xₙ is the n-th outcome. For the case of the spinner we have 3 possible outcomes:
x₁ = 8
x₂ = 6
x₃ = 24
And pₙ is the probability of the n-th event.
For the case of the spinner, the probability of each section will be equal to the quotient between the degrees of each arc, and the total number of degrees in a circle (360°).
First, we can see that for outcome = 8, the angle is a right angle, then it is equal to 90°, then the probability of this event will be:
p₁ = 90°/360° = 0.25
For outcome = 24, we have an angle of 120°, then the probability for this event is:
p₃ = (120°/360°) = 0.33
And the angle for the third arc must be such that:
90° + 120° + A = 360°
then:
A = 360° - 90° - 120° = 150°
Then the probability for the outcome = 6 is:
p₂ = (150°/360°) = 0.42
Now we can find the expected value as:
EV = (8*0.25 + 6*0.42 + 24*0.33) = 12.44
Fu times Amusement Park charges a $7 admission fee plus $1.75 per ride.
Julie goes to the amusement Park with $12.25. How many rides can she go?
1. 7
2. 3
3. 86
4. 2
Answer:
3 rides
Step-by-step explanation:
12.25 minus 7 equals 5.25.
5.25 divided by 1.75 equals 3 rides.
In conclusion it is 3 rides or option two.
Find the value of x. Then find the measure of each labeled angle.
A state's Department of Education reports that 12% of the high school students in that state attend private high schools. The State University wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend private schools.
a) They select a random sample of 500 applications, and find that 46 of those students attend private schools. Check the conditions required for inference. (3 marks)
b) Create the 90% confidence interval. (6 marks)
c) Interpret the confidence interval in the context of the problem. (3 marks)
d) Should the admissions officers conclude that the percentage of private school students in their applicant pool is lower than the statewide enrollment rate of 12%? Explain. (2 marks)
Answer:
a) p*n = 46 and q*n = 454 data is enough for inference
b) CI = ( 0,099 ; 0,141)
c) CI we will find with 90% of confidence the value of p in that interval
d) No, we accept H₀ we don´t have evidence to claim that the percentage in the State University is smaller than that of the Department of Education
Step-by-step explanation:
Information from A state´s Department of Education is:
p₀ = 12 % p₀ = 0,12
The State University sample:
Sample size n = 500
Sample proportion 46 out of 500
p = 46/500 p = 0,092 then q = 1- p q = 1 - 0,092 q = 0,908
Both p*n = 46 and q*n = 454
a) Are big enough to approximate the binomial distribution to normal distribution
b) CI = 90% CI = 0,9 significance level α = 0,10 for an CI we need
α/2 = 0,10/2 α/2 = 0,05
z(c) = - 1,64 ( from z-table)
MOE = z(c)*√(p*q)/n
MOE = 1,64 * √ ( 0,092*0,908)/500
MOE = 1,64 *√0,08353/500
MOE = 1,64 * 0,0129
MOE = 0,021
Then CI = 90 % is:
CI = ( 0,12 - 0,021 < P < 0,12 + 0,021 )
CI = ( 0,099 ; 0,141)
We have with 90 % of confidence for finding the value of p in the interval
Test Hypothesis
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p < p₀
we have for α = 0,1 z(c) = - 2,32 from z table
And z(s) = ( p - p₀ ) / √ (p*q)/n
z(s) = ( 0,092 - 0,12 ) / √(0,092*0,908)/500
z(s) = - 0,028 / 0,0129
z(s) = - 2,17
Comparing z(s) and z(c) we see that
|z(s)| < |z(c)|
So z(s) is in the acceptance region. We can support the claim that the percentage in the State University is the same than that of the Departament of Education
Can someone help me with this?
Answer:
A=10 cm
B=5 cm
Area of square = 25 cm
Step-by-step explanation:
Since that is an equilateral triangle based off the fact that all the sides are the same variable (a) then that means 30 divided by 3 which equals 10. So now we know that a = 10. Lets input that information for the rectangle. Since there are 2 a's that equals 20 and the perimeter is 30 so b has to be 5 since 5 times 2 is 10 plus 20 equals 30. so now we know that a=10 and b=5 so our squares sides are all 5. The area of the square is 25
is 369/100 greater than 849/100
9514 1404 393
Answer:
no
Step-by-step explanation:
When fractions have the same denominator, you can compare the numerators.
369 < 849
369/100 is not greater than 849/100
__
Here, you can convert these to decimal numbers and do the comparison in the usual way:
3.69 < 8.49
The most-significant digits are in the same number place (units), and they are different. The number with the smaller most-significant digit is smaller.
Answer:
no
Step-by-step explanation:
369/100=3.69
849/100=8.49
3.69<8.49
Which expression is equivalent to
42 + 3 x 4?
A 52 + 3
B 3x 4+43
C 3² +7+4
D 26 - 2 + 6
Answer:
A. 52+3
Step-by-step explanation:
52+3= 42 + 3 x 4 I hope this helps
Can someone help me with this question?
Answer:it is A
Step-by-step explanation:
Simplify:-8у – (х- 4x) +3y
Answer:
=3x−5y
Step-by-step explanation:
Answer: =3x−5y
Step-by-step explanation:
The inverse of F(x) is a function.
Answer:
Step-by-step explanation:
the word inverse refers to the opposite of another operation.
The inverse of the function f is denoted by f -1.
If you found my answer useful then mark me brainliest.
Mikhael wanted to rewrite the conversion factor "1 yard ≈ 0.914 meter" to create a conversion factor to convert meters to yards. Complete the explanation to tell how Mikhael should finish his conversion. If necessary, round to three decimal places.
(select)
1 yard by 0.914 m gives the rate of yards per meter. So 1 meter ≈
yards.
plz need help
Answer:
[tex]1\ meter = 1.094\ yard[/tex]
Step-by-step explanation:
Given
[tex]1\ yard = 0.914\ meter[/tex]
Required
Create a convert meter to yard expression
[tex]1\ yard = 0.914\ meter[/tex]
Divide both sides by 0.914
[tex]\frac{1\ yard}{0.914} = \frac{0.914\ meter}{0.914}[/tex]
[tex]\frac{1\ yard}{0.914} = 1\ meter[/tex]
[tex]1.09409190372\ yard = 1\ meter[/tex]
[tex]1\ meter = 1.09409190372\ yard[/tex]
[tex]1\ meter = 1.094\ yard[/tex] --- approximated
Answer:
Step-by-step explanation:
Anumeha knows the following information about a set of 20 numbers: 9 numbers are a multiple of 3 but not a multiple of 4. 10 numbers in total are a multiple of 3. 10 numbers in total are a multiple of 4. Can you help Anumeha organize the results into a two-way frequency table?
Help please............
Answer:
-15 < -9 and |-9| < |-15| (the third one) is true.
Step-by-step explanation:
-15 is smaller than -9.
The absolute bars cancel out the negative sign.
9 is smaller than 15.
Find the value of this expression if x=-9.
Answer:
if x = -9
then, (-9)×(-9) + 3
= 81 +3
= 84
(-9) + 6
= -3
so, ans is = 84/(-3)
= (-84)/3
5 time 6 is 30 but what is 5 time 123456789
Answer:
617283945?
Step-by-step explanation:
Answer:
617283945
Step-by-step explanation:
Simple: Use a Calculator
Then: Add an Answer
The volume of a rectangular prism can be modeled by the expression 4x3 - 108.
Find expressions for the dimensions of the prism by factoring, Write dimensions in box.
Answer:
4(x - 3)(x^2 + 3x + 9)
Step-by-step explanation:
4x^3 - 108 = 4(x^3 - 27), or
4(x^3 - 3^3), or
4(x - 3)(x^2 + 3x + 9)
We could choose to let 4 represent the height of the prism, x - 3 the width and x^2 + 3x + 9 the length.
One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a
triangle is 52 feet. Find the length of each side.
Provide your answer below:
Answer:
Step-by-step explanation:
lets have one side =a
P=3a+a+(17+a)=52
P=5a+17=52
5a=52-17
5a=35
a=7
second side=21
third side=24
What is the equation of the parabola, in vertex form, with focus at (2,-4) and directrix y=-6?
A. (X-2)^2 = 4(y+5)
B. (Y+4)^2 = 4(x-2)
C. (X+2)^2 = 1/4(y+4)
D. (X-2)^2 = -1/4(y+5)
Answer:
A. (X-2)^2 = 4(y+5)
Step-by-step explanation:
Equation of parabola: (x-2)² = 4(y+5)
Thus option A is correct.
Given:
Focus at (2, -4) and a Directrix of y = -6
Here,
Let us suppose that there is a point (x, y) on the parabola.
Its distance from the focus point (2, 4) is √(x - 2)² + (y + 4)²
Its distance from directrix y = -6 is |y + 6|
Therefore, the equation will be:
√(x - 2)² + (y + 4)² = |y + 6|
Squaring on both the sides,
(x - 2)² + (y + 4)² = (y + 6)²
x² - 4x + 4 + y² + 8y + 16 = y² + 12y + 36
(x-2)² = 4(y+5)
Therefore option A is correct.
Know more about parabola,
https://brainly.com/question/29203572
#SPJ4
there is more i need to take more pictures of it
(1,10), (18.-10) slope
Answer:
I think the slope is -20/17 hope this helps
3. Adrian is 8 years older than his brother, Jose. In 3 years he will be twice as old as his brother. Find the present age of each.
Answer:
Age of Jose = 5 years
Age of Adrian = 13 years
Step-by-step explanation:
Let:
Age of Jose = x
Age of Adrian = x+8
After 3 years
Age of Jose = x+3
Age of Adrian = x+8+3 = x+11
Now, we are given, in 3 years he will be twice as old as his brother.
So, we can write
Age of Adrian = 2 (Age of Jose)
x+11 = 2(x+3)
x+11=2x+6
2x-x=11-6
x=5
So, we get value of x = 5
Now, the present ages will be:
Age of Jose = x = 5 years
Age of Adrian = x+8 = 5+8 = 13 years
Adrian is 8 years older than his brother, Jose. In 3 years, he will be twice as old as his brother. Find the present age of each.
Answer:Jose is currently 5 years old.Adrian is currently 13 years old.Solution and Explanation:Let's represent the age of Jose as [tex]\large\rm x[/tex]
According to the problem, Adrian is 8 years older than Jose, so Adrian's age can be represented as [tex]\large\rm x + 8[/tex].
In 3 years, Adrian's age will be [tex]\large\rm (x + 8) + 3[/tex] and Jose's age will be [tex]\large\rm (x + 3)[/tex].
The problem also tells us that in 3 years, Adrian will be twice as old as Jose:
[tex]\Large\begin{aligned}\rm{(x + 8) + 3}& =\rm{2(x + 3)}\\\rm{x + 11}&=\rm{2x +6}\\\rm{\cancel{x\red{-x}} + 11}&=\rm{2x \red{-x} + 6}\\\rm{11}&=\rm{x + 6}\\\rm{11\red{-6}}&=\rm{x + \cancel{6\red{-6}}}\\\bold{5}&=\rm{x}\end{aligned}[/tex]
So Jose is currently 5 years old.
To find Adrian's age, we can use the fact that Adrian is 8 years older than Jose:
[tex]\Large\begin{aligned}\rm{Adrian's\: age}& =\rm{x + 8}\\\rm{Adrian's\: age}&=\rm{\red{5} + 8}\\\rm{Adrian's\: age}&=\bold{13}\end{aligned}[/tex]
Therefore:
Jose is currently 5 years old.Adrian is currently 13 years old.[tex]\\\\[/tex]
For more information visit these links:
https://brainly.com/question/16552827
https://brainly.com/question/29159374
https://brainly.com/question/9051590
Part A
The data in the line plots show the number of hours volunteers work each week for two different organizations. Find the measures of center and variability of the two sets of data.
Part B
What conclusions can you draw from the two sets of data? Select all that apply
A. Volunteers in organization B spend more time volunteering than volunteers in organization A
B. The median of organization A's data and organization B's data is the same
C. The range of organization B's data is greater than the range of organization A's data
D. The mean and the median of organization A's data are the same
E. The mean and the median of organization B's data are the same
Answer:
line plots do you mean number line, cos no pic is attached
what is 14/25 as a decimal and as a percent?
Answer: 0.56 as a decimal 56% as a percentage
Step-by-step explanation:
Emily bought 12 oranges from store to make orange juice. The total cost was $15. How much did each orange cost?
Answer: 1.25
Step-by-step explanation:
hope this helps !!
Will mark brainliest!!! Solve for x and round to the nearest tenth
Hi...
Co's 15=x/33...
Cos 15=0.96...
X=31.68
need help asap please
Answer:
16°
Step-by-step explanation:
We know that in parallelogram opposite angles are equal so
4u - 8° = 6u - 40°
6u - 4u = 40° - 8°
2u = 32°
u = 32° /2
u = 16°
The value of u should be 16° to make PQRS parallelogram.
Hope it will help.
Answer:
[tex]\displaystyle 16 = u[/tex]
Step-by-step explanation:
Diagonal, opposite angles are congruent in every parallelogram:
[tex]\displaystyle [5u + 44]° = [14u - 100]° → -144 = -9u; 16 = u \\ \\ AND/OR \\ \\ [6u - 40]° = [4u - 8]° → -32 = -2u; 16 = u[/tex]
No matter which pair you take, you will ALWAYS arrive at the same exact solution.
I am joyous to assist you at any time.
7. How many terms are in the expression?
7q+6q + 2 .
(1 Point)
Answer:
3 terms
Step-by-step explanation:
Hi there!
Terms are constants or variables in an algebraic expression separated by plus and minus signs.
With this information, that means that 7q is a term, 6q is a term, and 2 is a term.
Without simplifying the expression, there are 3 terms.
I hope this helped!
An AutoCAD drawing has a scale of 3/4 inches to 2 ft. If a piece of a bridge measures 15 feet, how long is that piece in the AutoCAD printout?
11.25 inches
5.625 inches
22.5 inche
51 inches
Please I really need this for tonight
Answer:
B) 5.625 inches
Step-by-step explanation: