Answers
Answer:
I don't know the answer but I suggest u get help from a tutor
they help a LOT
Because that is the right triangle so you can use the Pythagorean theorem to find for x
Related Questions
FAST PLEASE Solve using Cosine with steps
Answers
\(\cos(A )=\cfrac{\stackrel{adjacent}{47}}{\underset{hypotenuse}{61}} \implies \cos^{-1}(~~\cos( A )~~) =\cos^{-1}\left( \cfrac{47}{61} \right) \\\\\\ A =\cos^{-1}\left( \cfrac{47}{61} \right)\implies A \approx 39.60^o\)
Make sure your calculator is in Degree mode.
High School Geometry
Answers
Answer:
Step-by-step explanation:
310 is the answer.
Write the equation of the line for a line that passes through (4, 4) and (1, -2).
Answers
\((\stackrel{x_1}{4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{4}}}\implies \cfrac{-6}{-3}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{2}(x-\stackrel{x_1}{4}) \\\\\\ y-4=2x-8\implies y=2x-4\)
Step-by-step explanation:
(4, 4) and (1, -2).
(x1,y1) and (x2,y2)
slope=(y2-y1/x2-x1)
m= -2-4/1-4
m=2
slopeintercept form
y=2x-4
point slope form
y-4=2(x-4)
What is the quotient when (-12x9 + 3x7 + 24x6) is divided by 6x?
Answers
4. What is Probability?
(ii) State the axioms of probability
(iii)Two fair dice are thrown, what is the probability of getting
(a) the sum of 9
(b) two odd numbers
(c) two prime numbers
(d) two factors of 12
4c. What is Statistics?
Answers
(i) Probability is a notion in Mathematics which describes the likelihood of an event or a set of events occurring. It is a measure of uncertainty when estimating the outcome of an experiment or an observation.
(ii) The axioms of probability are:
the non-negativity (that the probability of an event is greater than or equal to zero), and
the additivity (that the probability of the union of two or more mutually exclusive events is equal to the sum of their individual probabilities).
(iii) When two fair dice are thrown the probability of getting:
a) The sum of 9 = 1/9
b) Two odd numbers = 1/4
c) two prime numbers = 1/9
d) two factors of 12 = 1/9
(iv) Statistics is a branch of mathematics that deals with data collection, analysis, interpretation, presentation, etc.
How to find probability when two dice are thrown?To find probability when two dice are thrown, we have:
(a) The sum of 9:
We will estimate the number of ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3) = 4 ways
A die has 6 possible outcomes, the total number of possible outcomes is 6x6=36 = 4/36 = 1/9.
(b) Two odd numbers:
We count the number of ways to get two odd numbers: (1,3), (1,5), (1,7), (3,1), (3,5), (3,7), (5,1), (5,3), and (5,7).
possible outcomes = 9,
So, the total possible outcomes = 6x6=36 = 9/36 = 1/4.
(c) Two prime numbers
We estimate the number of ways we can get two prime numbers: (2,3), (3,2), (5,2), and (2,5)
possible outcomes = 4,
So, the total possible outcomes = 6x6 =36 = 4/36, = 1/9.
(d) Two factors of 12:
We count the number of ways and divide by the total possible outcomes.
The factors of 12 are 1, 2, 3, 4, 6, and 12: (2,6), (3,4), and (4,3) = 3 ways
possible outcomes = 6
Therefore, the total number of possible outcomes = 6x6=36 = 3/36, = 1/12
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2. The mean temperature in an area is 74 degrees Fahrenheit. The sum of the temperatures is
2,516. How many temperatures are in the set?
Answers
To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.
Number of temperatures = Sum of temperatures / Mean temperature
In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.
Number of temperatures = 2,516 / 74
Calculating the division:
Number of temperatures ≈ 34.05
Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.
14. Something that you ate last night has given you a very serious case of the "scoots".
Fortunately, your grandma comes to the rescue. She give you a 3.5 pint bottle of her "scoot
juice with the following directions"
Take 3 teaspoons of "scoot stop" per dose per 15 pounds of body weight 2 times a day
for 6 days.
You are leaving for Mexico in 5 days. Will you have enough of grandma's "scoot juice" to get
you to the beach assuming you weigh 154 pounds?
Note:
teaspoon = 5 mL
1 quart=32 ounces
1 ounce = 29.57 mL
1 quart = 2 pints
Answers
You will need approximately 3.9 pints of grandma's "scoot juice" to last you until your trip to Mexico.
What is division ?
Division is a mathematical operation that involves splitting a number or quantity into equal parts or groups. It is the inverse operation of multiplication. Division is typically represented by the symbol "÷" or "/".
In division, the number being divided is called the dividend, the number that is dividing the dividend is called the divisor, and the result of the division is called the quotient.
According to given conditions:
To determine if you will have enough of grandma's "scoot juice" to last you until your trip to Mexico, we need to first calculate how much "scoot stop" you will need per dose based on your weight.
Given:
3 teaspoons of "scoot stop" per dose per 15 pounds of body weight
You weigh 154 pounds
We can calculate the amount of "scoot stop" you will need per dose as follows:
(154 pounds / 15 pounds) x 3 teaspoons = 31.2 teaspoons
Since there are 3 teaspoons in a tablespoon, we can convert this to tablespoons:
31.2 teaspoons / 3 teaspoons per tablespoon = 10.4 tablespoons
Next, we need to calculate the total amount of "scoot stop" you will need for the entire treatment period, which is 6 days.
10.4 tablespoons per dose x 2 doses per day = 20.8 tablespoons per day
20.8 tablespoons per day x 6 days = 124.8 tablespoons
Since there are 2 tablespoons in a fluid ounce, we can convert this to fluid ounces:
124.8 tablespoons / 2 tablespoons per fluid ounce = 62.4 fluid ounces
Finally, we need to convert this to pints, since grandma's "scoot juice" comes in 3.5 pint bottles.
62.4 fluid ounces / 16 fluid ounces per pint = 3.9 pints
Therefore, you will need approximately 3.9 pints of grandma's "scoot juice" to last you until your trip to Mexico. Since the bottle contains 3.5 pints, you will need to obtain an additional 0.4 pints (which is equivalent to 6.4 fluid ounces or approximately 0.2 quarts) to have enough for the entire treatment period.
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Do not understand this question
Answers
Answer:
A, C
Step-by-step explanation:
You want all the shapes that are enlargements of shape X, which is 1 unit high and 3 units wide.
EnlargementAn enlargement of shape X multiplies each of its dimensions by the same factor. When it is enlarged by a factor of 2, the dimensions become ...
high : wide = 1 : 3 = 2 : 6 . . . . . . matches shape C
When it is enlarged by a factor of 3, the dimensions become ...
high : wide = 1 : 3 = 3 : 9 . . . . . . . matches shape A
The 2-high shape B is too short, being 4 1/2 wide instead of 6. Shape F is too long, being 7 wide instead of 6.
The 3-high shapes D and E are too short, being 8 and 5 wide instead of 9.
__
Additional comment
An enlargement preserves the aspect ratio of the shape, the height to width ratio. Here, that is 1:3. Any shape with a different aspect ratio is not an enlargement of X.
How much is 1944 divided by 0.54?
Answers
Answer: 3600
Step-by-step explanation:
x-intercept of 3 and y-intercept of 8
How do you write a lunar equation given this information and how do you write the equation in slope form
Answers
Answer:
y = -8/3x + 8
Step-by-step explanation:
Step 1: Identify which values we have and need to find in the slope-intercept form:
The general equation of the slope-intercept form of a line is given by:
y = mx + b, where
(x, y) is any point,m is the slope,and b is the y-intercept.Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.
Step 2: Find m, the slope of the line:
Since the x-intercept is 3, the entire coordinates of the x-intercept are (3, 0)Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:
0 = m(3) + 8
0 = 3m + 8
-8 = 3m
-8/3 = m
Thus, the slope is -8/3.
Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.
Optional Step 3: Check the validity of the answer:
We know that the entire coordinates of the x-intercept are (3, 0) and the entire coordinates of the y-intercept are (0, 8).Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:
Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:
0 = -8/3(3) + 8
0 = -24/3 + 8
0 = -8 = 8
0 = 0
Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;
8 = -8/3(0) + 8
8 = 0 + 8
8 = 8
Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.
You are installing a rectangular pool in your backyard. The pool measures 24 feet by 16 feet. You also would like to build a concrete walkway around the pool. You have allocated 560 ft? of your backyard for both the pool and the walkway around it. How wide should you make the walkway?
Answers
Answer:
The walkway should be 2ft wide.
Step-by-step explanation:
Let x be the width of the walkway surrounding the pool.
The area including the pool is 560ft².
Let's solve for the value of x.
The length plus twice the width of the pool is multiplied by the width plus twice the width of the pool. This makes up the whole area.
A = lw
560 = (24 + 2x)(16 + 2x)
560 = 384 + 48x + 32x + 4x²
4x² + 80x + 384 - 560 = 0
4x² + 80x - 176 = 0
Divide the whole equation by 4
x² + 20x - 44 = 0
(x + 22)(x -2) = 0
x = -22; x = 2
Since we are dealing with dimensions, take the one with the positive value.
x = 2ft
Let's check
560ft² = (24ft + 2x)(16ft + 2x)
560ft² = (24ft + 2(2ft)) (16ft + 2(2ft))
560ft² = (24ft + 4ft)(16ft + 4ft)
560ft² = (28ft)(20ft)
560ft² = 560ft² ✔
A game fair requires that you draw a queen from a deck of 52 ards to win. The cards are put back into the deck after each draw, and the deck is shuffled. That is the probability that it takes you less than four turns to win?
Answers
The probability (P) is winning in less than four turns can be decomposed as the following sum:
The probability of winning in one turn is
\(P(\text{Winning in turn 1})=\frac{\#Queens}{\#Cards}=\frac{4}{52}.\)The probability of winning in the second turn is
\(\begin{gathered} P(\text{ Winning in the second turn})=P(\text{ Lossing (in turn 1)})\cdot P(\text{ Winning (in turn 2)}), \\ \\ P(\text{ Winning in the second turn})=\frac{\#NoQueens}{\#Cards}\cdot\frac{\#Queens}{\#Cards}, \\ \\ P(\text{ Winning in the second turn})=\frac{48}{52}\cdot\frac{4}{52}\text{.} \end{gathered}\)The probability of winning in the third turn is
\(\begin{gathered} P(\text{ Winning in the third turn})=P(\text{ Lossing (in turn 1)})\cdot P(\text{ Lossing (in turn 2)})\cdot P(\text{ winning (in turn 3)}), \\ \\ P(\text{ Winning in the third turn})=\frac{\#NoQueens}{\#Cards}\cdot\frac{\#NoQueens}{\#Cards}\cdot\frac{\#Queens}{\#Cards}, \\ \\ P(\text{ Winning in the third turn})=\frac{48}{52}\cdot\frac{48}{52}\cdot\frac{4}{52}\text{.} \end{gathered}\)Adding all together, we get
\(\begin{gathered} P(\text{ Winning in less than four turns})=\frac{4}{52}+\frac{48}{52}\cdot\frac{4}{52}+\frac{48}{52}\cdot\frac{48}{52}\cdot\frac{4}{52}, \\ \\ P(\text{ Winning in less than four turns})=\frac{469}{2197}, \\ \\ P(\text{ Winning in less than four turns})\approx0.2135, \\ \\ P(\text{ Winning in less than four turns})\approx21.35\% \end{gathered}\)AnswerThe probability of winning in less than four turns is (approximately) 21.35%.
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.4 years with a standard deviation of 0.8 years.
Step 2 of 2: If a sampling distribution is created using samples of the ages at which 38 children begin reading, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.
Answers
Answer:
Step-by-step explanation:
The standard deviation of the sampling distribution of sample means is given by the formula:
standard deviation = population standard deviation / sqrt(sample size)
Here, the population standard deviation is 0.8 years, and the sample size is 38. Substituting these values into the formula, we get:
standard deviation = 0.8 / sqrt(38)
standard deviation ≈ 0.13
Rounding to two decimal places, the standard deviation of the sampling distribution of sample means is approximately 0.13 years.
Differentiate y=x4 -x
Answers
Answer:
Step-by-step explanation:
To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).
So, for y = x^4 - x, we can find the derivative as follows:
y' = 4x^3 - 1
So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.
A population of values has a normal distribution with μ= 106.9 and σ=14.5
You intend to draw a random sample of size n=20
What is the probability that a single randomly selected value is less than 109.8?
P(X < 109.8)
How do you the probability that a sample of size n= 20 is randomly selected with a mean less than 109.8?
P(M < 109.8)
Also, I have to round the answer to the 4th decimal place. How do I do that?
Answers
Step-by-step explanation:
Find the z-score.
z = (x − μ) / σ
z = (109.8 − 106.9) / 14.5
z = 0.2
Use a chart or calculator to find the probability.
P(Z < 0.2) = 0.5793
Find the mean and standard deviation of the sampling distribution.
μ = 106.9
σ = 14.5 / √20 = 3.242
Find the z-score.
z = (x − μ) / σ
z = (109.8 − 106.9) / 3.242
z = 0.894
Use a calculator to find the probability.
P(Z < 0.894) = 0.8145
I need answer asap thank you
Answers
The measure of ∠QTS = 58°
Given; A triangle QPR
PQ = PR
this means that ∠ Q = ∠ R
and QR = QT this means ∠ R = ∠ T
And ST ║ QR
and QT is the transversal
From the above mentioned information we can conclude that
∠QTS = ∠TQR -------------- 1
Thus since ∠ Q = ∠ R
by using angle sum property of triangle we can conclude that
∠ Q + ∠ R = 116 [ exterior angle sum property ]
2 ∠ Q = 116
∠ Q = 58°
this means ∠ TQR = 58°
And from 1 we know that this angle is equal to angle QTS
Thus ∠QTS = ∠TQR = 58°
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What is the correct step to solve this equation? 15 = m - 5
Answers
So m= 15+5
m=20
15-m=-5
-m=-5-15
-m=-20
m=20
A game card handed out at a grocery store states the probabilities of winning a prize: 0.2 for $10, 0.1 for $5, and 0.7 for $0. What is the probability of winning any amount of money?
Answers
Answer:
Step-by-step explanation:
To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.
Given the probabilities stated on the game card:
Probability of winning $10 prize = 0.2
Probability of winning $5 prize = 0.1
Probability of winning $0 prize = 0.7
To find the probability of winning any amount of money, we add these probabilities together:
0.2 + 0.1 + 0.7 = 1
The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.
Therefore, the probability of winning any amount of money in this game is 100%.
Hope this answer your question
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Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the index of summation. 1+16+81+256+625+1296
Answers
The answer to the sum is: ∑ k⁴ (k ranges from 1 to 6)
Express the sum in sigma notation :
According to the question,
1 = lower limit of summation
k = the index of summation
1 + 16 + 81 + 256 + 625 + 1296 = 1² + 4² + 9² + 16² + 25² + 36²
= 1⁴ + 2⁴ + 3⁴ + 4⁴ + 5⁴ + 6⁴ ( i.e 16 = 4²=(2²)²)
= ∑ k⁴ (k ranges from 1 to 6)
So, The answer to the sum is - ∑ k⁴ (k ranges from 1 to 6).
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HELP WILL GIVE BRAINLIEST!!!!! Choose the graph below that represents the following system of inequalities: (1 point)
y ≥ −3x + 1
y ≥ 1 over 2 x + 3
Answers
Step-by-step explanation:
first picture is the answer
ychyvuyufuf
Round 57,824,279 to the nearest ten-million.
57,824,279 rounded to the nearest ten-million is
Answers
Answer:
60,000,000
Step-by-step explanation:
5 and up - round up
4 and down - round down
You can see 7, so we round up.
57,824,279 is rounded to 60,000,000
Let me know if I'm wrong!
Answer:
57,824,279 to the nearest ten million is 60,000,000
Look at the 5 and the 7. Since 7 is greater than 5, round up to 6. We will have 60,000,000.
Step-by-step explanation:
9. Use the graph of the function f(x) = x³ – 7x² + 10x to
x`
identify its relative maximum and minimum.
da
-4
8
8
2
K
T
2
da
y
8
+w
8
maximum = 4.1, minimum = -8.2
maximum = 0.9, minimum = 3.8
Answers
The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:
Relative maximum: (0.88, 4.061).Relative minimum: (3.786, -8.209).What are the relative minimums and the relative maximums of a function?The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing, that is, where the function curves down.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing, that is, where the function curves up.More can be learned about extremas of a function at https://brainly.com/question/9839310
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There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.
Answers
There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.
To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.
Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.
Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.
To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.
Therefore, there will be 12 slices of pizza left over.
To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.
If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.
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Graph the inequality in the coordinate plane.
x > -3
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Usually, a one-variable solution set is graphed on a number line. However, since you asked for it, the attachment shows it graphed on the coordinate plane.
what is the height of h of the triangle?
Answers
Answer:
4.23 feet
Step-by-step explanation:
We need to use the inverse sine function to solve for h. Since sine = opposite / hypotenuse, we can set up the equation like this: sin(30) = h / 25.5. To solve for h, isolate the h by multiplying both sides: h = 25.5 * sin(30). So the height of the triangle is approximately 4.23 feet.
HERE IS THE CORRECT PHOTO MATH HELP PLS
Answers
Answer:
Hello!
I gave a picture of the dot reflected across the x axis! and heres the coordinates!
Original coordinates: 3, -7
New coordinates: 3, 7
what is the slope of the line
Answers
solve the following inequality
Answers
The solution set of the inequality is:
w ∈ (-∞, -1] U [3, ∞)
How to solve the given inequality?
The graphed parabola is f(w), and we have the inequality:
f(w) ≤ 0.
So we need to identify the intervals such that the parabola is below the horizontal axis. By looking at the graph, we can see that the two intervals are:
Left side:
(-∞, -1]
Right side:
[3, ∞)
Where the brackets are used because points x = -1 and x = 3 are solutions.
Then the solution set of the inequality is:
w ∈ (-∞, -1] U [3, ∞)
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A bag contains 6 red marbles, 5 white marbles, and 8 blue marbles. You draw 5 marbles out at random,
without replacement.
Round your answers to 4 decimal places as needed.
What is the probability that all the marbles are red?
Answers
Answer:
Your mother
Step-by-step explanation:
Evaluate: xy+2x^2, if x=0.1 and y=9.8
Answers
Answer: 1
Step-by-step explanation:
\((0.1)(9.8)+2(0.1)^2\\0.98+0.02=1\)