Answer:
The answer is below
Step-by-step explanation:
Given that Triangle PTS has all sides with equal lengths, it is considered is an equilateral triangle.
Similarly, with < TPS and <TSP aare both equilateral triangle because they have equal length.
Therefore, ∆ PQS and ∆ SRP are congruent based on side-angle-side theorem.
Similarly, given the fact that their congruent sides of congruent triangles are congruent, both Segment PQ is congruent to segment SR.
Also, Segment PR is congruent to segment SQ as a result of congruent sides of the congruent triangles are congruent.
Lastly, the ∆ PQR and ∆ SRQ are congruent based on the side-side-side theorem.
Simplify the ratio : 72:16:32
What is ans
Answer:
9 : 2 : 4
Step-by-step explanation:
Given
72 : 16 : 32 ( divide each part of the ratio by 8, the LCM of 72, 16, 32 )
= 9 : 2 : 4
7 - (-3) = 7+ blank* equals blank*
Answer: 7 -(-3)=7+3=10
Step-by-step explanation:
If you multiply a negative sign be a negative number in parenthesis, then it becomes positive. So, -(-3) = 3
Can also be seen as -1*-3 = 3
1+costheta+sintheta^2/sintheta(1+costheta)=tantheta
Answer:
What is the question?
Step-by-step explanation:
A bag contains 10 red marbles, 7 blue marbles, and 3 green marbles. You randomly select a marble from the bag, record the color, and then put that marble back in the bag. If you were to do this 200 times, how many times would you expect to pull out a blue marble?
Answer:
70
Step-by-step explanation:
We have 7 blue marbles, and 20 total marbles. As a result, if we randomly chose one marble from the bag, the probability would be (number of favorable outcomes)/(number of total outcomes) = 7/20.
This means that for each 20 trials, we would expect to pull out a blue marble 7 times, as the probability does not change over time (because we put the marbles back, there are the same amount of each marble). Over 200 trials, we can simply make it out of 200 instead of 20. We can thus multiply 7/20 by 10/10 (10/10 is equal to 1, keeping the proportions equal) to get 70/200, so we can expect 70 blue marbles out of 200.
what’s the answer choice?????
Answer: C
Step-by-step explanation:
What is the rate of change?
Answer:
25m
Step-by-step explanation:
Answer:
The answer is 50 miles per day
Step-by-step explanation:
becasue you started at that point and went up 50 each time.
A semi-elliptic archway has a height of 15 feet
at the center and a width of 50 feet, as shown
in the figure. The 50-foot width consists of a
two-lane road. Can a truck that is 12 feet high
and 14 feet wide drive under the archway
without going into the other lane?
Since 1.1584 > 1, the truck cannot pass under the archway without going into the other lane.
A semi-elliptic archway with a height of 15 feet at the center and a width of 50 feet can be visualized as half of an ellipse.
The major axis of the ellipse corresponds to the width, while the minor axis corresponds to the height. In this case, the major axis (a) is 25 feet, and the minor axis (b) is 15 feet.
To determine if a truck that is 12 feet high and 14 feet wide can drive under the archway without going into the other lane, we can use the equation of an ellipse: (x²/a²) + (y²/b²) = 1.
The truck will occupy half of the road width, which is 25 feet, so its horizontal distance from the center (x) is 25 - 7 = 18 feet, and its height (y) is 12 feet.
Plugging these values into the equation, we get: (18²/25²) + (12²/15²) = (324/625) + (144/225) ≈ 0.5184 + 0.64 = 1.1584.
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If 4x−9y=−1 is a true equation, what would be the value of 6+4x−9y?
Answer:
5
Step-by-step explanation:
4x-9y= -1
so change 4x-9y to 1 in
6+(-1) = 5
Answer:
4x-9y=-1
4x=-1+9y
Step-by-step explanation:
6+4x-9y
6+(-1+9y)-9y
6-1+9y-9y
5+0
5
In the U.S., shoe sizes are defined differently for men and women, but in Europe, both genders use the same shoe size scale. The accompanying histograrn shows the European shoe sizes of 269 male and female college students, converted from their reported U.S. shoe sizes. a) Describe the shape. b) How many modes does the histogram have? What might explain that? Click the icon to view the histogram of shoe sizes. a) The distribution is roughly symmetric and bimodal. b) Choose the correct answer below.
a) The distribution is roughly symmetric and bimodal. b) The histogram has two modes, which may be due to the different shoe size scales used for men and women in the U.S. but not in Europe.
The histogram of European shoe sizes of 269 male and female college students converted from their reported US shoe sizes is not visible based on the information provided, but the questions are clear.
a) The shape of the distribution is not visible, but it is mentioned that it is "roughly symmetric and bimodal".
b) There are two modes in the histogram. This could be because shoe sizes in the United States are defined differently for men and women, but not in Europe. As a result, the histogram of the distribution of European shoe sizes for both men and women may show two distinct peaks.
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If 3 inch square is covered with 1inch squares how many of the 1 inch squares are needed? What is the area of the larger square
Answer:
9 1-inch squares will cover the bigger square. Its area is the same as the amount of squares needed, 9 inches.
the larger Area will be 9 square inch.
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
To cover a 3 inch square with 1 inch squares, we can arrange the 1 inch squares in a 3 by 3 grid.
So, we need 9 of the 1 inch squares to cover the 3 inch square.
The area of the larger square can be found by squaring the length of one of its sides.
Since the side length of the 3 inch square is 3 inches, the area of the larger square is:
Area = (side length)² = 3² = 9 square inches
Therefore, the larger Area will be 9 square inch.
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PLEASE HELP!!
13. Every Friday, milkshakes are on sale at The Ice Cream Shoppe with a 15% discount.
13a) The regular price of a milk shake is $4. What is the discount price?
13b) If the regular price of a shake is X dollars, what is the discount price in dollars?
13c) On your birthday, the discount price of an ice cream cake is $22. What is the regular price?
(*I really need help on this T^T*)
Answer:
13a) $3.40
13b) 0.85X
13c) $25.88
Step-by-step explanation:
13a) When there is a 15% discount, we can say that we are only paying 85% of the original price because out of 100%, 15% is taken away. 85% in decimals is 85/100 = 0.85.
$4 x 0.85 is the discounted price, which is $3.40
13b) In 13a, the price was 4. Now, the price is X. Hence we plug in (substitute) X in for 4, giving us X x 0.85, which we can write as 0.85X
13c) 85% of the cake is $22. To find 100% of the price, we can find 1% of the original price and then multiply that by 100, which gives us 100% of the price.
We know 85% of the original price. Therefore, dividng the price by 85 will give us 1% of the price. 1% = $22/85
Finally, to calculate 100%, we multiply by 100.
22/88 x 100 = 440/17 which is 25.882 in decimals, which we round to 2 decimal places (because it is currency) = $25.88
Find the length for x pls
Answer:
below
Step-by-step explanation:
the perpendicular line bisects the side. so x=√11/2
how to find p value from t statistic on ti-84
Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.
To find the p-value from the t statistic on TI-84, you will need to perform a hypothesis test. Here are the steps:1. Enter your data into the calculator and choose the appropriate test.2. Calculate the t statistic by dividing the sample mean by the standard error.3. Determine the degrees of freedom. This is n-1 for a one-sample t-test or n1+n2-2 for a two-sample t-test. 4. Use the t-distribution table to find the critical value for your test.5. Calculate the p-value using the t-distribution function on the calculator.6. Compare the p-value to the significance level (usually 0.05) to determine whether to reject or fail to reject the null hypothesis.7.
Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.
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Help please Pretty plz
Answer:1/10
Step-by-step explanation:
Start by multiplying 1/100 by 1/10
The answer will be 1/1000
Find the range of the function for each given domain
f(x) = 2x +3; (-2, - 1,0, 1, 2)
Answer:The domain of
=
R
−
{
3
}
The range of
=
R
−
{
2
}
Step-by-step explanation:
in which number base is the following addition done
324
*135*
503
Proceeding with the assumption I made in my comment: in the ones place we have
4 + 5 ≡ 3 (mod b)
9 ≡ 3 (mod b)
6 ≡ 0 (mod b)
or equivalently, 0 + bk = 6 or bk = 6 for some integer k. Then b must divide 6, so b is one of {1, 2, 3, 6}. But in base n, any given number can only be composed of the digits {0, 1, 2, ..., n - 1}, so it must that b = 6.
Just to confirm:
4₆ + 5₆ + (9)₆ = (6 + 3)₆ = 13₆
2₆ + 3₆ + 1₆ = (6)₆ = (6 + 0)₆ = 10₆
3₆ + 1₆ + 1₆ = 5₆
and so
324₆ + 135₆ = 503₆
as required.
The following table provides a probability distribution for the random variable y. a. Compute E(y) (to 1 decimal). b. Compute Var(y) and σ (to 2 decimals). Var(y)
The expected value of the random variable y is computed to be 3.8.The variance of y is calculated to be 4.06, and the standard deviation is approximately 2.02.
To compute the expected value of the random variable y, we multiply each value of y by its corresponding probability and sum them up. In this case, we have:
E(y) = (2)(0.2) + (4)(0.1) + (5)(0.3) + (8)(0.2) + (10)(0.2) = 0.4 + 0.4 + 1.5 + 1.6 + 2 = 3.8.
To calculate the variance of y, we first need to compute the squared deviations from the expected value for each value of y, multiply them by their corresponding probabilities, and sum them up. Then, subtracting the squared expected value of y gives us the variance. Using the formula:
Var(y) = \(E[(y - E(y))^2],\)
we have:
Var(y) = \([(2 - 3.8)^2](0.2) + [(4 - 3.8)^2](0.1) + [(5 - 3.8)^2](0.3) + [(8 - 3.8)^2](0.2) + [(10 - 3.8)^2](0.2),\)
Var(y) = 0.36 + 0.04 + 0.36 + 4.84 + 36,
Var(y) = 4.06.
Finally, the standard deviation (σ) is the square root of the variance:
σ = √Var(y) ≈ √4.06 ≈ 2.02.
Therefore, the variance of y is 4.06, and the standard deviation is approximately 2.02.
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Find f(–2) for the function f(x) = 3x2 – 2x + 7. a. −13 b. −1 c. 1 d. 23
If the function is f(x) = 3x² -2x +7, then the value of f(-2) is (d) 23.
A Function is defined as a rule which assigns a unique output value for each input value. It is a relation between set of inputs and set of possible outputs, where every input is related with exactly one output.
To find f(-2) for the function f(x) = 3x² -2x +7,
We input "-2" for x in the function.
we get,
⇒ f(-2) = 3(-2)² -2(-2) +7
⇒ 3(4) +4 +7
⇒ 12 + 11 = 23.
Therefore, the value of the function at x = -2 is 23, the correct option is (d).
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The given question is incomplete, the complete question is
Find f(-2) for the function f(x) = 3x² -2x +7.
(a) -13
(b) -1
(c) 1
(d) 23
Travel back in time to the year 2008, when text messages were charged per text. Some carriers charged $59 for a basic text package of 200 texts and 20 cents per text after that. Today, most packages include unlimited text and data but cost closer to $100 a month.
Write and solve an inequality to determine the range of text messages you can send with the 2008 plan without spending more than $100.
If you have a phone, look at your data summary. Is this range your average daily number, weekly number, or monthly number of texts? Determine how much you would have paid for the month if you had the 2008 text plan? Write this as an equation and solve it. If you do not have a phone, you can use a family member's information or make a hypothesis.
Travelling back in time to the year 2008, up to 405 messages could be sent without spending more than $ 100.
How to solve Inequalities?
In the year 2008, text messages were charged per text, and some carriers charged $59 for a basic text package of 200 texts and 20 cents per text after that.
However, most packages these days includes unlimited text and data but cost close to $ 100 a month. In order for us to determine the range of text messages you can send with the 2008 plan without spending more than $100, the following calculation is done;
(41/0.2) + 200 = X
205 + 200 = X
X = 405
Thus, in 2008, up to 405 messages could be sent without spending more than $ 100.
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What quadrant is 3 and 4 in a graph?
Both the x- and y-axes have negative values in this quadrant.
The x-axis in the fourth quadrant has positive values, whereas the y-axis has negative numbers.
A two-dimensional Cartesian system's axes split the plane into four infinite areas called quadrants, each of which is limited by two half-axes. These are frequently numbered from 1st through 4th and marked by Roman numerals: I (+; +), II (; +), III (; ), and IV (+; ).
The intersection of the x-axis (the horizontal number line) and the y-axis divides the coordinate plane into four equal pieces in the cartesian system (the vertical number line). These four regions are known as quadrants because they each account for one-quarter of the coordinate plane.
The third quadrant, known as Quadrant III, is located in the bottom left quadrant.
The fourth quadrant, indicated as Quadrant IV, is in the bottom right quadrant.
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a. 23,320ft
b. 5,830 ft
c. 11 660 ft
d. 18,000 ft
Answer:
Step-by-step explanation:
D 18,000
if we allowed the number of edges between any two nodes to be more than two - i.e. there are 7 roads from city a to city b and 5 roads from city b back to city a and so on, like that for many of the other cities, then which of the two data structures we used for our graph problems, would be able to accurately store that graph information?
If we allow the number of edges between any two nodes to be more than two, we would need to use the adjacency matrix to accurately store that graph information.
The adjacency matrix is a matrix representation of a graph where the rows and columns represent the vertices and the values in the matrix represent the number of edges between two vertices.
In this case, we could have values greater than 1 in the matrix to represent multiple edges between two vertices.
On the other hand, the adjacency list data structure would not be able to accurately store this information, as it represents each vertex and its adjacent vertices in a linked list format.
It would be difficult to represent multiple edges between two vertices using this data structure.
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Use the graph to find the value of y= sin q for the value of q.
X radians
3 7 0
0.9
3
a. -0.5
b. -0.7
C.
d. -0.9
The value of y=sin(q) for the value of q=3.7 radians is approximately -0.5.
From the given graph, we can see that the sine function reaches its minimum value of -1 at q=3π/2 radians (which is approximately 4.71 radians).
As we move towards q=2π radians (which is approximately 6.28 radians) from the left side, the sine function increases gradually from -1 to 0, and then it reaches its maximum value of 1 at q=π/2 radians (which is approximately 1.57 radians).
Therefore, for the value of q=3.7 radians, which is between 2π and 3π/2 radians, the sine function would have a negative value between 0 and -1. From the graph, we can estimate that the value of y=sin(q) for q=3.7 radians is approximately -0.5. We can verify this estimate using a calculator by evaluating sin(3.7) which is approximately -0.5299.
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A big dump truck delivers gravel to a construction site. The dump truck has a rectangular bed that is 3 meters wide and 4 meters long. The truck bed is filled with gravel to a height of 2 meters. What is the volume of gravel in the truck bed?
Answer:
24m^3
Step-by-step explanation:
Volume is L x W x H which is base times width times height. So you take the Length (3), the width (4) and the height (2) you multiply them together to get 24m. but your not done. you have to add the exponent
if a six pack of soda cost 2.46 how much is one can
Answer:
one can would be about $0.41
Step-by-step explanation:
Take $2.46 and divide it by 6 because that is the number of cans in the pack, the answer is $0.41 per can.
3PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST
Answer: x= 7191.509 ft
Step-by-step explanation:
Sin9/1 = 1125/x
X/1 = 1125/sin9
Find the present value. Round to the nearest cent. To get $2000 after 12 years at 9% compounded semiannually
The present value required to get 2000 after 12 years at 9% compounded semiannually is approximately 1177.34.
To find the present value, we need to use the formula for compound interest: P = A / (1 + r/n)^(NT),
where P is the present value, A is the future value, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, we want to find the present value (P) to get 2000 (A) after 12 years, with an annual interest rate of 9% (r) compounded semiannually (n = 2).
First, we need to convert the annual interest rate to a semiannual interest rate by dividing it by 2: r = 9% / 2 = 0.045.
Next, we plug the values into the formula:
P = 2000 / (1 + 0.045/2)^(2*12)
Simplifying further:
P = 2000 / (1 + 0.0225)^(24)
Calculating the parentheses first:
P = 2000 / (1.0225)^(24)
Calculating the exponent:
P = 2000 / 1.698609
Finally, dividing to find the present value:
P ≈ $1177.34 (rounded to the nearest cent)
Therefore, the present value required to get 2000 after 12 years at 9% compounded semiannually is approximately 1177.34.
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2 Questions for Math ! Please Help :) 1. In triangle ABC, Angle A = 2X + 7, Angle B = 5X-15, and Angle C = 6X What is the value of X and what are the measures of angles A,B, and C? 2. In a triangle XYZ, Angle X= 37 degrees, Angle Y = 45 degrees and Angle Z = 3x + 6. What is the value of X and what is the measure of Angle Z?
Answer:
5
Step-by-step explanation:
thanks for the points
Divers looking for a sunken ship have defined the search area as a triangle with adjacent sides of length (1p 2.75 miles and 1.32 miles. The angle between the sides of the triangle is 35°. To the nearest hundredth, find the search area.
a. 2.08 mi²
b. 2.97 mi²
c. 1.49 mi²
d. 1.04 mi²
Divers looking for a sunken ship have defined the search area as a triangle with adjacent sides of length (1p 2.75 miles and 1.32 miles. The angle between the sides of the triangle is 35°. The search area is approximately 1.49 mi².
The search area of the sunken ship can be found by using the formula for the area of a triangle, which is given by A = (1/2) * a * b * sin(C), where a and b are the lengths of the adjacent sides of the triangle, and C is the angle between those sides.
Given that the adjacent sides have lengths of 1.75 miles and 1.32 miles, and the angle between them is 35°, we can substitute these values into the formula: A = (1/2) * 1.75 * 1.32 * sin(35°)
Evaluating the expression:
A ≈ (1/2) * 1.75 * 1.32 * 0.5736
A ≈ 1.493 mi²
Rounding the result to the nearest hundredth, the search area of the sunken ship is approximately 1.49 mi².
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suppose you are at a party with 19 of your closest friends including you, explain why there must be at least two people at the part
By the pigeonhole principle, there must be at least two people at the party.
What is pigeonhole principle?
The pigeonhole principle is a fundamental concept in mathematics that states that if there are n items and k containers, and n > k, then at least one of the containers must contain more than one item.
This is an example of the pigeonhole principle. The pigeonhole principle states that if you have n pigeons and fewer than n pigeonholes, then there must be at least one pigeonhole with more than one pigeon in it.
In this case, we have 19 people and only 18 possible pigeonholes (since you cannot put two people in the same spot).
Therefore, by the pigeonhole principle, there must be at least one pigeonhole (i.e., a spot at the party) with more than one pigeon (i.e., more than one person). In other words, there must be at least two people at the party.
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