Answer:
Step-by-step explanation:
The sum of complementary angles is 90°.
90°-37.1° = 52.9°
Aanika performed a hypothesis test, and her p-value cutoff was 10%. What's the chance that her test will incorrectly reject the null hypothesis? In other words, what is the error probability?
A.) 90%
B.) 5%
C.) 10%
D.) Not enough information
Pls help me calculate the inverse of y equals 2x over x-7
Assume a jar has five red marbles and three black marbles. Draw out two marbles with and without replacement. Find the requested probabilities. (Enter the probabilities as fractions.) (a) P(two red marbles) with replacement without replacement (b) P(two black marbles) with replacement without replacement (c) P(one red and one black marble) with replacement without replacement (d) P(red on the first draw and black on the second draw) with replacement without replacement
Answer:
For probabilities with replacement
[tex]P(2\ Red) = \frac{25}{64}[/tex]
[tex]P(2\ Black) = \frac{9}{64}[/tex]
[tex]P(1\ Red\ and\ 1\ Black) = \frac{15}{32}[/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{64}[/tex]
For probabilities without replacement
[tex]P(2\ Red) = \frac{5}{14}[/tex]
[tex]P(2\ Black) = \frac{3}{28}[/tex]
[tex]P(1\ Red\ and\ 1\ Black) = \frac{15}{28}[/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{56}[/tex]
Step-by-step explanation:
Given
[tex]Marbles = 8[/tex]
[tex]Red = 5[/tex]
[tex]Black = 3[/tex]
For probabilities with replacement
(a) P(2 Red)
This is calculated as:
[tex]P(2\ Red) = P(Red)\ and\ P(Red)[/tex]
[tex]P(2\ Red) = P(Red)\ *\ P(Red)[/tex]
So, we have:
[tex]P(2\ Red) = \frac{n(Red)}{Total} \ *\ \frac{n(Red)}{Total}\\[/tex]
[tex]P(2\ Red) = \frac{5}{8} * \frac{5}{8}[/tex]
[tex]P(2\ Red) = \frac{25}{64}[/tex]
(b) P(2 Black)
This is calculated as:
[tex]P(2\ Black) = P(Black)\ and\ P(Black)[/tex]
[tex]P(2\ Black) = P(Black)\ *\ P(Black)[/tex]
So, we have:
[tex]P(2\ Black) = \frac{n(Black)}{Total}\ *\ \frac{n(Black)}{Total}[/tex]
[tex]P(2\ Black) = \frac{3}{8}\ *\ \frac{3}{8}[/tex]
[tex]P(2\ Black) = \frac{9}{64}[/tex]
(c) P(1 Red and 1 Black)
This is calculated as:
[tex]P(1\ Red\ and\ 1\ Black) = [P(Red)\ and\ P(Black)]\ or\ [P(Black)\ and\ P(Red)][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = [P(Red)\ *\ P(Black)]\ +\ [P(Black)\ *\ P(Red)][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = 2[P(Red)\ *\ P(Black)][/tex]
So, we have:
[tex]P(1\ Red\ and\ 1\ Black) = 2*[\frac{5}{8} *\frac{3}{8}][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = 2*\frac{15}{64}[/tex]
[tex]P(1\ Red\ and\ 1\ Black) = \frac{15}{32}[/tex]
(d) P(1st Red and 2nd Black)
This is calculated as:
[tex]P(1st\ Red\ and\ 2nd\ Black) = [P(Red)\ and\ P(Black)][/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = P(Red)\ *\ P(Black)[/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{n(Red)}{Total} *\ \frac{n(Black)}{Total}[/tex]
So, we have:
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{5}{8} *\frac{3}{8}[/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{64}[/tex]
For probabilities without replacement
(a) P(2 Red)
This is calculated as:
[tex]P(2\ Red) = P(Red)\ and\ P(Red)[/tex]
[tex]P(2\ Red) = P(Red)\ *\ P(Red)[/tex]
So, we have:
[tex]P(2\ Red) = \frac{n(Red)}{Total} \ *\ \frac{n(Red)-1}{Total-1}[/tex]
We subtracted 1 because the number of red balls (and the total) decreased by 1 after the first red ball is picked.
[tex]P(2\ Red) = \frac{5}{8} * \frac{4}{7}[/tex]
[tex]P(2\ Red) = \frac{5}{2} * \frac{1}{7}[/tex]
[tex]P(2\ Red) = \frac{5}{14}[/tex]
(b) P(2 Black)
This is calculated as:
[tex]P(2\ Black) = P(Black)\ and\ P(Black)[/tex]
[tex]P(2\ Black) = P(Black)\ *\ P(Black)[/tex]
So, we have:
[tex]P(2\ Black) = \frac{n(Black)}{Total}\ *\ \frac{n(Black)-1}{Total-1}[/tex]
We subtracted 1 because the number of black balls (and the total) decreased by 1 after the first black ball is picked.
[tex]P(2\ Black) = \frac{3}{8}\ *\ \frac{2}{7}[/tex]
[tex]P(2\ Black) = \frac{3}{4}\ *\ \frac{1}{7}[/tex]
[tex]P(2\ Black) = \frac{3}{28}[/tex]
(c) P(1 Red and 1 Black)
This is calculated as:
[tex]P(1\ Red\ and\ 1\ Black) = [P(Red)\ and\ P(Black)]\ or\ [P(Black)\ and\ P(Red)][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = [P(Red)\ *\ P(Black)]\ +\ [P(Black)\ *\ P(Red)][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = [\frac{n(Red)}{Total}\ *\ \frac{n(Black)}{Total-1}]\ +\ [\frac{n(Black)}{Total}\ *\ \frac{n(Red)}{Total-1}][/tex]
So, we have:
[tex]P(1\ Red\ and\ 1\ Black) = [\frac{5}{8} *\frac{3}{7}] + [\frac{3}{8} *\frac{5}{7}][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = [\frac{15}{56} ] + [\frac{15}{56}][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = \frac{30}{56}[/tex]
[tex]P(1\ Red\ and\ 1\ Black) = \frac{15}{28}[/tex]
(d) P(1st Red and 2nd Black)
This is calculated as:
[tex]P(1st\ Red\ and\ 2nd\ Black) = [P(Red)\ and\ P(Black)][/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = P(Red)\ *\ P(Black)[/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{n(Red)}{Total} *\ \frac{n(Black)}{Total-1}[/tex]
So, we have:
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{5}{8} *\frac{3}{7}[/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{56}[/tex]
x 5. Solve.
A bag contains 2 red, 4 blue, and 4 yellow marbles. What is the probability of pulling a red marble, then a blue marble from the bag? (to the nearest tenth)
Answer:
2/10*4/10=2/25 aka 0.08 aka rounded is 0.1
Step-by-step explanation:
hope this helps plz give brainliest
Which equation has the solution y = 8
20 POINTS a ball rebounds 1/2 of the height from which it is dropped. Assume the ball is dropped 128 feet from the top of a school and keeps bouncing. How far will the ball have traveled up and down when it strikes the ground for the fifth time?
To solve g*= 25x+7, you would need to re-write 8 as what base?
you
An found four 1-dollar bills and 3 dimes under his bed. How much money did he fin!
0 A $0.43
B. $4.30
Ć $1.34
Vous
> $4.03
Answer:
B. $4.30
Step-by-step explanation:
4 1 dollar bills added up makes $4, and 3 dimes, which have a price of 10¢ added up 10+10+10 make 30¢
Factor: -5a - 16 =
Answer?
Answer:
Do you need the answer or the factor??
Step-by-step explanation:
Answer: -(5a+16)
Step-by-step explanation:
-1/4{-8x+12y} Expand The Expression
Answer:
2x-3y
Step-by-step explanation:
I need help please. The question is A rectangle is shown below.What is the area of the rectangle in square feet.
Answer:
84 ft^2
Step-by-step explanation:
To find the area of this rectangle we multiply width and length
8 × 10.5 = 84 ft^2
A triangle has sides of length 8 cm, 5 cm, and 5 cm. How many unique
triangles can be drawn that fit that description? Explain or show your
reasoning
1
Answer: I think it’s 2
Step-by-step explanation: because either of the sides are equal or the base and a side is not possible.
Aren’t you from CCA, Ryan Rivera, Maths 5th period.
Answer:
2
hope this helps
HELP PLS Find the length of BC to the nearest tenth:
B
350
A
12
с
20.9
14.6
17.1
118
Answer:
14.6
Step-by-step explanation:
using the trigonometry ratio
cosine
cos35= 12/BC
BC= 12/cos35
BC = 14.64
Find the original price of a pair of gloves that is on sale for $28, a 30% discount from the original price.
Answer:
$8.40
Step-by-step explanation:
Answer:36.4
Step-by-step explanation:
I need help in question 2 pls help i beg you
Answer:
I'm pretty sure itd be tropic fresh fruit punch, with it having more concentration compared too the other brand.
For what value(s) of x are the following undefined. ((5x^2)+x+1)/(x+2)^2
Answer:
when x=-2
Step-by-step explanation:
((-2)+2)^2=0
dividing by 0 makes the equation undefined
Can someone help me with this ?
Answer:
x = 25
Step-by-step explanation:
Looking at the triangle we know that it is a right triangleor a 90⁰ triangle.
(2x + 15)⁰ + x⁰ = 90⁰
2x + 15⁰ + x⁰ = 90⁰
2x + x + 15⁰ = 90⁰
3x + 15⁰ = 90⁰
3x + 15⁰ - 15⁰ = 90⁰ - 15⁰
3x = 75⁰
3x / 3 = 75⁰ / 3
x = 25⁰
Now plug the x value in the missing angles.
2x + 15⁰
2(25⁰) + 15⁰
50⁰ + 15⁰
65⁰
According to the sum of triangle, all angles add up to 180⁰. Even though this is a right triangle, it should add up 180⁰ in order to be a triangle.
65⁰ + 25⁰ + 90⁰ = 180⁰
Hope this helps and stay safe, happy, and healthy, thank you :) !!
Find the measure of angle ABC
CAN SOMEONE PLEASE HELP ME WITH THIS ITS DUE TODAY
1. 4 x 31 is 124
2. 7 x 49 is 658
3. 16 x 48 is 608
4. 8(5 + w) is 8w + 40
5. 11(9 + d) is 11d + 99
6. 15(p + 4 + 2) is 15p + 90
7. Let's simplify step-by-step.
2x−4+3x
=2x+−4+3x
Combine Like Terms:
=2x+−4+3x
=(2x+3x)+(−4)
=5x+−4.
8. Let's simplify step-by-step.
4y−1−3y−2
=4y+−1+−3y+−2
Combine Like Terms:
=4y+−1+−3y+−2
=(4y+−3y)+(−1+−2)
=y+−3.
9. Let's simplify step-by-step.
x+2(x−4)
Distribute:
=x+(2)(x)+(2)(−4)
=x+2x+−8
Combine Like Terms:
=x+2x+−8
=(x+2x)+(−8)
=3x+−8.
10. Part A)
The jazz band sells 31 large boxes of fruit and 74 small boxes of fruit.
For each large fruit box, the price is $20 and cost is $x.
Profit is defined as Price - Cost.
So, profit for one large fruit box = 20 - x
Profit for 31 large fruit boxes = 31(20 - x)
Price of each small fruit box is $10 and cost of each small fruit box is $y. The profit for each small fruit box is 10 - y.
Profit for 74 small fruit boxes = 74(10 - y)
The total profit for 31 large boxes and 74 small boxes will be:
Total profit = 31 (20 - x ) + 74(10 - y)
Using distributive property, we can simplify the above equation as:
Total profit = 31(20) - 31x +74(10) - 74y
Total profit = 1360 - 31x - 74y
Part B)
Cost of each large box is given to be $9. This means x = 9
Cost of each small box is given to be $4. This means y = 4
Using the values of x and y in the profit equation we can find the profit of the Jazz Band.
So, Jazz Band's Profit = 1360 - 31(9) - 74(4)
Jazz Band's Profit = $ 785
Thus the profit of Jazz Band will be $785.
Have A good day!! Hope I helped!!! ^-^
Please answer quick
Answer:
its the first option
Step-by-step explanation:
2. Squares are the only regular quadrilaterals.
O
True
O
False
Answer:
true
Step-by-step explanation:
The only regular (all sides equal and all angles equal) quadrilateral is a square. So all other quadrilaterals are irregular.
Answer:
Falsee, I believe.
Rhombuses are equilateral too...
Hope that helps!
-Sabrina
Step-by-step explanation:
At Brighton Middle School, Mr. Yule asked 50 randomly selected students from each grade level about their favorite subject, and 12 chose science. He used this data to draw the inference that about 25% of middle school students will indicate science is their favorite subject. If there are 200 students all together, did he make a reasonable inference?
No, Mr. Yule’s sample is biased and too small to be representative of the population.
Yes, Mr. Yule’s sample is small and biased, so it is representative of the population.
No, Mr. Yule’s percentage is too large. He should have used 6%.
Yes, Mr. Yule’s sample is random and representative of the population.
Answer:
D.) "Yes, Mr. Yule’s sample is random and representative of the population."
Step-by-step explanation:
If x equals 2.5 what will be the value of y?
Answer:The value of "y" is unknown because there is no equation
Step-by-step explanation:
help asap find the area of this trapazoid
Step-by-step explanation:
here you have the answers
Answer:
[tex]A=12[/tex]
Step-by-step explanation:
The formula to find the area of a trapezoid is,
[tex]A=(\frac{b_1+b_2}{2})(h)[/tex]
Where ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the two bases of the trapezoid, and ([tex]h[/tex]) represents the hieght of the figure. As one can see on the coordinate plane,
[tex]b_1=2\\\\b_2=4\\\\h=4[/tex]
Substitute in the given values, and solve,
[tex]A = (\frac{b_1+b_2}{2})(h)\\\\A = (\frac{2+4}{2})(4)\\\\A = (\frac{6}{2})(4)\\\\A = (3)(4)\\\\A = 12[/tex]
HELP PLEASE DUE IN 3 MINUTES
Answer:
This is the answer
the data is shown below
8, 11, 14, 14, 13, 15, 9
What is the median?
Answer:
13
Step-by-step explanation:
arrange the numbers in order
8, 9, 11, 13, 14, 14, 15
find the number physically in the middle
Answer:
The median is 13.
Step-by-step explanation:
The way you can find median is by putting the numbers in order from smallest to greatest, then finding the middle point. If the number of data points is odd, the median is the middle data point in the list. If the number of data points is even, the median is the average of the two middle data points in the list. Using this explanation, you can put your numbers in order.
8, 9, 11, 13, 14, 14, 15
As you can see, 13 is the middle number in the list.
PLEASE HELP!!! IT WOULD MEAN A LOT!
Answer:
The answer is 207 ft^2
Step-by-step explanation:
Answer:
207
Step-by-step explanation:
Hey There!
So the first step is to solve for the figure with a length of 9 and a width of 15
15x9=135
The other figure has a length of 12 and a width of 6
6x12=72
No we just add them
135+72=207
therefore 207 is your answer
The radius of a circle is 1 mile what is the circles area?
Answer:
radius 1 mile, Area 3.14 mile^2
Step-by-step explanation:
Area of circle = πr^2
Area of circle = 3.14×1×1
Area of circle = 3.14mile^2
I need help
1. To correctly find 10% of a total you could do each of the following except
1
(1) divide by 10
) Beth wants to determine a 99 percent confidence interval for the true proportion p of high school students in the area who attend their home basketball games. Out of n randomly selected students she finds that that exactly half attend their home basketball games. About how large would n have to be to get a margin of error less than 0.01 for p
Answer:
n has to be at least 16577.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Out of n randomly selected students she finds that that exactly half attend their home basketball games.
This means that [tex]\pi = 0.5[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
About how large would n have to be to get a margin of error less than 0.01 for p
We have to find n for which M = 0.01. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.01\sqrt{n} = 2.575*0.5[/tex]
[tex]\sqrt{n} = \frac{2.575*0.5}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2[/tex]
[tex]n = 16576.6[/tex]
Rounding up
n has to be at least 16577.