Answer:
The correct option is;
C 90°
Step-by-step explanation:
Here we have;
Angle V = 90°
Whereby, YX and WX are tangents, and YV and WV are radii then ;
Angle Y = 90° and
Angle W = 90°
Therefore we have sum of angles V, Y, W and X given by the following relation;
V + Y + W + X = 360° (Sum of interior angles of a polygon angle)
Therefore;
90° + 90° + 90° + X = 360°
270° + X = 360
X = 360° - 270° = 90°
Hence the correct option is X = 90°.
Answer:
Correct answer is C
The quality control team of a company checked 800 digital cameras for defects. The team found that 20 cameras had lens defects, 25 cameras had charging defects, and 6 cameras had both defects. What is the probability that a camera has a lens defect given that it has a charging defect?
Answer:
0.025
Step-by-step explanation:
-This is a conditional probability problem.
-Let L denote lens defect and C charging defect.
#We first calculate the probability of a camera having a lens defect;
[tex]P(lens)=\frac{Lens}{Total}\\\\=\frac{20}{800}\\\\=0.025[/tex]
#Calculate the probability of a camera having a charging defect:
[tex]P(Charging)=\frac{Charging}{Total}\\\\=\frac{25}{800}\\\\=0.03125[/tex]
The the probability that a camera has a lens defect given that it has a charging defect is calculated as:
[tex]P(L|C)=\frac{P(C)P(L)}{P(C)}\\\\=\frac{0.025\times 0.03125}{0.03125}\\\\=0.025[/tex]
Hence, the probability that a camera has a lens defect given that it has a charging defect is 0.025
The probability that a camera has a lens defect given that it has a charging defect is 6/25 or 0.24.
The question asks for the probability that a camera has a lens defect given that it has a charging defect. To find this probability, we use the concept of conditional probability. From the data given, 25 cameras have charging defects and 6 cameras have both defects. The probability that a camera has both a lens and charging defect among those with a charging defect is:
P(Lens defect | Charging defect) = P(Lens and Charging defect) / P(Charging defect)
Which translates to:
P(Lens defect | Charging defect) = Number of cameras with both defects / Number of cameras with charging defects
P(Lens defect | Charging defect) = 6 / 25
Therefore, the probability is 6/25 or 0.24.
Is 5 m, 7 m, 11 m a right triangle
Answer:
no
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
5 m, 7 m, and 11 m do not form a right triangle.
What is right-angle triangle?A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
To determine whether 5 m, 7 m, and 11 m form a right triangle, we need to use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. That is:
c² = a² + b²
Where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
So, let's check if the Pythagorean theorem holds true for the lengths of 5 m, 7 m, and 11 m:
11² = 5² + 7²
121 = 25 + 49
121 = 74
This is not true, so 5 m, 7 m, and 11 m do not form a right triangle.
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You open up a new case of note cards packs for your office. Each pack contains 50 note cards and each case contains 20 packs. If you were to evenly divide up the note cards between you and your 9 co-workers, how many note cards will each person receive?
1 case of note cards = 20 packs
1 pack = 50 note cards
50 x 20 = 1000 note cards in one case.
1000 / 10 = 100
Each person will receive 100 note cards.
Hope this helps!! :)
Which rectangular prism has a surface area of 56 square units? [Note: Art is not drawn to scale.]
A rectangular prism with a length of 5, width of 3, and height of 1.
A rectangular prism with a length of 2, width of 2, and height of 6.
A rectangular prism with a length of 5, width of 3, and height of 2.
A rectangular prism with a length of 6, width of 2, and height of 4.
Answer:
2
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
trust
please help asap ! What is the area of a circle with a radius of 6 inches?
9.7 in. ?
12 x in 2
36 in 2
81 in 2
Answer:
A = 36 pi in^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi (6)^2
A = 36 pi in^2
Answer:
36pi in²
Step-by-step explanation:
Area = pi × r²
= pi × 6²
= 36pi
.1111111111111111111111... as a fraction
Answer:
11/100
Step-by-step explanation:
Sally had 8 pennies in her bank she spend 5 of her pennies how many pennies does she have now?
Answer:
3 Pennies
Step-by-step explanation:
8 - 5 = 3, sally would have 3 left
Answer:
3 pennies
Step-by-step explanation:
Basically since she only has 8 pennies, and she used 5 of them, you subtract.
8-5=3
She has 3 cents.
Choose a positive number. Using this number as the base, evaluate it when the exponent is 3, 0, and -2. Show all work.
Answer:
1= 8
2= 1
3= ¼
Step-by-step explanation:
Let me choose 2. 2 becomes my base.
When the exponent is 3
1. 2³ = 2 * 2 * 2
= 8
When the exponent is 0
2. 2^0.
From the laws of indices. Exponent zero to any number = 1.
Therefore, 2^0 = 1
When the exponent is = -2
3. 2 `² = ¹/2 * 2
= ¼
- A right triangle has a hypotenuse of 5 feet. One leg measures one foot
less than the hypotenuse. What are both legs' measures?
If Tyler’s height is 57 inches. what could be his height in centimeters
1 inch = 2.54 centimeters
Multiply.
57 * 2.54 = 144.78
Therefore, Tylers height is 144.78 centimeters.
Best of Luck!
how do u find the mean of a question
Answer:
you add all the number up and divide by how many numbers there are.
Answer:
The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
Step-by-step explanation:
I hope this helps you out with your question! Can you plz consider marking me brainliest and thanks! Plz tell me how the answer was! It feel nice to be appreciated! Comment /free for a giveaway entry of 20 thanks and 2 brainliest. Have an awesome day! Let me know if you have any questions! -KaraYeaton18
A box contains 3 black pens, 7 blue pens, and 5 red pens. She pulls a red pen, puts it back, pulls a blue pen, puts it back, and then pulls a black pen and uses it. P(red, then blue, then black)
Answer:
7/25
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = expected outcome/total outcome
If the box contains 3 black pens, 7 blue pens, and 5 red pens, the total number of pens in the box is 3+7+5 = 15pens
Probability of pulling a red pen and replacing = 5/15 = 1/3
Probability of pulling a blue pen and replacing = 7/15
Probability of pulling a black pen and not replacing(using it) = 3/15
{Note that the total number of outcome used will still be 15 since the black pen was pulled out last even though it wasn't replaced.}
P(red, then blue, then black) = 1/3×7/15×3/15
= 63/225
= 7/25
Malia did push-ups and pull-ups in her physical education class. She did 24 push-ups and pull-ups combined, with each push-up taking her 2 seconds and each pull-up taking her 4 seconds. If she spent a total of 68 seconds doing the push-ups and pull-ups, how many pull-ups did she do?
A.2
B.4
C. 10
D.14
Answer:
10 pull
As 48 seconds + 20 seconds push = 68 seconds
Step-by-step explanation:
Because she did 10 push = 20 seconds = 2 seconds each
12 pull = 48 seconds = 4 seconds each
= 68 seconds combined.
Workings;
18 seconds found for the first set
We then find a divider of 68 and know that
6 x 3 = 18 seconds push
12 x 3 =36 seconds pull T= 54
14 left over = 1 x 12 seconds pull
+ 2 seconds push
= 10 push = 20 seconds combined.
= 12 pull = 48 seconds combined.
68/24 = 2.8- so 14 x 2 = 28 and 10 x 4 = 40 so the answer is 14 push and 10 pull
Answer:
It's 10.
Step-by-step explanation:
I just got it right on my unit test review.
Question 3 (1 point)
.
2x - 3(x + 6) = -3(x - 2)
x =
Answer:
x=12
Step-by-step explanation:
2x - 3(x + 6) = -3(x - 2)
Distribute
2x -3x -18 = -3x +6
Combine like terms
-x -18 = -3x+6
Add 3x from each side
-x+3x -18 = -3x+3x +6
2x -18 = 6
Add 18 to each side
2x-18+18 = 6+18
2x = 24
Divide each side by 2
2x/2 = 24/2
x = 12
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
[tex]2x - 3(x + 6) = - 3(x - 2) \\ 2x - 3x - 18 = - 3x + 6 \\ 2x - 3x + 3x = 18 + 6 \\ 2x = 24 \\ \\ x = \frac{24}{2} \\ \\ x = 12[/tex]
a(1) = 20
a(n) = a(n - 1) x 3/2
What is the 3rd term in the sequence?
Answer:
45
Step-by-step explanation:
a(1) = 20
a(n) = a(n - 1) x 3/2
---
start with a(2) = a(1) * (3/2) = 20* (3/2) = 30
a(3) = a(2) * (3/2) = 30 * (3/2) = 90/2 = 45
Answer:
45
Step-by-step explanation:
the perimeters of the square and the equilateral triangle are equal. Which equation represents this scenario? What is the value of x? What is the perimeter of the polygons?
Answer:
The perimeters of the square and the equilateral triangle are equal.
Which equation represents this scenario? ✔ 4(3x + 3) = 3(5x + 0.5)
What is the value of x? ✔ 3.5
What is the perimeter of the polygons?✔ 54 units
Step-by-step explanation:
Answer:
C,D, and C
Step-by-step explanation:
Answer choices are:
CPCTC
If alternate interior angles are congruent, then lines are parallel
Congruent by SAS
Vertical lines are congruent
Answer:ABCD
Step-by-step explanation:
Alternate interior angles are congruent if two lines are parallel, leading to the similarity of triangles through the Angle Angle Angle theorem.
Alternate interior angles are congruent only if the two other lines are parallel. If the two other lines are not parallel, the angles will still be alternate interior angles but they will not have the same measure, that is, they will not be congruent. Two triangles are similar if all three corresponding angles are congruent, established by the Angle Angle Angle (AAA) theorem.
David bought a 5-gallon container of paint to paint his house. After he finished painting, he had 2 quarts of paint left over. How many quarts of paint did David use?
Answer:3 1/2
Step-by-step explanation:
sarah has 12 rubber band bracelets five of the bracelets are blue 1/6 of the bracelets are green the rest are red how many bracelets are red
Answer:
5
Step-by-step explanation:
First, get the number of green bracelets
Since they are 1/6, then this is equivalent to 1/6*12= 2 bracelets
Number of blue and green will be the sum of blue which is given as 5 and green already found to be 2
Blue and green=2+5=7
To get the number of red, we deduct the total blue and green feom the overal total
No. of red will be 12-7=5
Therefore, 5 bracelets are red
In Markov chains, if I was given a transition probability matrix with each of the probabilities specified, then how do I determine the following:1- Probability that state y is visited at least n times given that you start in state x. I know that I can solve it using Px(# of visits to state y ≥ n) = rhoxy(rhoyy)n−1 where rhoxy is the probability that starting at state x, I will be in state y in some positive time (i.e. rhoxy=Px(Ty<[infinity])). But I am not sure how to calculate rhoxy and I have spent so much time trying to figure it out!
Answer:
bbcs
Step-by-step explanation:
msade rekfflg.g
What is the 4th term of the geometric sequence when the first term is 6 and the common ratio is 7?
(Multiple Choice Question)
100,842
294
1176
2,058
Answer:
2,058
Step-by-step explanation:
first term : a_1 = 6
common ratio r = 7
a_n = (a_1) * r ^(n-1)
a_4 = 6 * 7^(4-1)
a_4 = 6 *7^3
a_4 = 6 * 343 = 2,058
what is the radius of a circle that has a circumference of 50.24 units
Answer:
r≈8
Step-by-step explanation:
Answer: 8 units
Step-by-step explanation:
C= 2*pi*r
50.24 = 2*3.14*r
50.24=6.28
50.24/6.28
8=r
PLEASE HELP IM DESPERATE
Natalia is calculating the areas of parallelograms using the following formula: Area=bh, where b represents the base of the parallelogram and h represents the corresponding height. For her next parallelogram, b= 8 m and h = 4 m What is the area?
Natalia’s friend gives her the parallelogram shown below. Using her formula, Area=bh, what area can she calculate for this parallelogram?
h=10 in. b= 14 in.
Final answer:
The areas of the parallelograms are calculated by multiplying the base by the height. The first parallelogram's area is 32 m², and the second parallelogram's area is 140 in².
Explanation:
Natalia is calculating the areas of parallelograms using the formula Area = base × height. For the first parallelogram with a base (b) of 8 meters and a height (h) of 4 meters, the area will be:
Area = base × height = 8 m × 4 m = 32 m².
For the second parallelogram given by her friend, with a base (b) of 14 inches and a height (h) of 10 inches, the area will be:
Area = base × height = 14 in. × 10 in. = 140 in².
This formula is essential for understanding the relation between the dimensions of a parallelogram and its surface area.
4. Find the value of x in the right triangle below.
60°
Answer:
12
Step-by-step explanation:
It is worthwhile memorizing the ratios of legs in a 30°–60°–90° triangle. Shortest to longest, the ratios are ...
1 : √3 : 2
Then the sides marked will have the ratio ...
6 : x = 1 : 2 = 6 : 12
x = 12
_____
You can also get there using trigonometry.
cos(60°) = 6/x
x = 60/cos(60° = 60/0.5
x = 12
Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air at an initial velocity of 7 feet per second. The equation h = -2t^(2) + 7t + 4 models the toy's height h in feet from the ground at t seconds after he threw it. a) How high is the toy after 0-4 seconds?
The toy's height after 0-4 seconds can be found by substituting different values of t into the given equation.
Explanation:The equation given to model the toy's height is h = -2t^2 + 7t + 4, where h is the height in feet and t is the time in seconds. To find the height of the toy after 0-4 seconds, we substitute different values of t into the equation.
For t = 0, h = -2(0)^2 + 7(0) + 4 = 4 feet.
For t = 1, h = -2(1)^2 + 7(1) + 4 = 9 feet.
For t = 2, h = -2(2)^2 + 7(2) + 4 = 12 feet.
For t = 3, h = -2(3)^2 + 7(3) + 4 = 11 feet.
For t = 4, h = -2(4)^2 + 7(4) + 4 = 4 feet.
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Just before a referendum on a school budget, a local newspaper polls 354 voters to predict whether the budget will pass. Suppose the budget has the support of 55% of the voters. What is the probability that the newspaper's sample will lead it to predict defeat?
Answer:
3.07% probability that the newspaper's sample will lead it to predict defeat
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
For a proportion p with n voters, we use [tex]\mu = p, \sigma = \sqrt{\frac{p(1-p)}{n}}}[/tex]
In this problem, we have that:
[tex]p = 0.55, n = 354[/tex]
So
[tex]\mu = 0.55, \sigma = \sqrt{\frac{0.55*0.45}{345}}} = 0.0268[/tex]
What is the probability that the newspaper's sample will lead it to predict defeat?
That is, a percentage of 50% or less, which is the pvalue of Z when X = 0.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.5 - 0.55}{0.0268}[/tex]
[tex]Z = -1.87[/tex]
[tex]Z = -1.87[/tex] has a pvalue of 0.0307.
3.07% probability that the newspaper's sample will lead it to predict defeat
Mika has $12 and spends $2 each day
Answer:
Mika will have 0 dollars after 6 days.
Just by looking at this question, I dont know what im supposed to solve. Im guessing we are just trying to find how many days until Mika runs out of money.
Mika has $12 and spends $2 each day.
If we turn this into an equation, we will get 12-2x=0
12-2x=0 subtract 12 from both sides
-2x=-12 multiply both sides by -1
2x=12 divide by 2
x=6
Mika will run out of money in 6 days
Volunteers at Sam's school use some of the student council's savings for a special project. They buy 8 backpacks for $4 each and fill each backpack with paper and pens that cost $3. By how much did the student council's savings change because of this project?
Answer:
Student council's savings reduced by [tex]\$56[/tex]
Step-by-step explanation:
Given:
Volunteers buy 8 backpacks for $4 each and fill each backpack with paper and pens that cost $3
To find:
Change in student council's savings
Solution:
Cost of paper and pens in each backpack = [tex]\$3[/tex]
Total cost of paper and pens in 8 backpacks = [tex]\$8[/tex]× [tex]\$3[/tex] =[tex]\$24[/tex]
Cost of each backpack = [tex]\$4[/tex]
Total cost of 8 backpacks = [tex]8[/tex]×[tex]\$4[/tex] = [tex]\$32[/tex]
So, student council's savings reduced by [tex]\$32+\$24=\$56[/tex]
When 5 is subtracted from the square of a number, the result is 4 times the number. Find the negative solution.
The negative solution is - 1.
let
the number = x
When 5 is subtracted from the square of a number can be represented as follows;
x²-5The result is 4 times the number. The remaining part of the equation can be represented as follows:
x²-5 = 4xLets find the negative solution below
x²- 5 - 4x = 0
x² - 4x - 5 = 0
x² + x - 5x - 5 = 0
x(x + 1) -5(x + 1)
(x-5)(x + 1)
x = 5 or -1
Therefore, the negative solution is - 1.
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By solving the quadratic equation x^2 - 5 = 4x, we get two solutions: x = 5 and x = -1. The negative solution to this equation is x = -1.
Let's denote the unknown number as x. The problem statement translates to the equation x2 - 5 = 4x. To find the negative solution, we must solve this quadratic equation.
First, we move all terms to one side to get x2 - 4x - 5 = 0.
We then factor this quadratic if possible or use the quadratic formula. In this case,
(x - 5)(x + 1) = 0.
Setting each factor equal to zero gives us the solutions x = 5 and x = -1.
The question asks for the negative solution, so x = -1.