Need help with math problem if do get 5 star

Answer:

Step-by-step explanation:

\(\frac{25}{100} \times 56=\frac{1}{4} \times 56=\frac{56}{4}=14\)

Racer scored 14 points.

Using a standard normal distribution table, we can find that the critical value of z 0.05 is approximately 1.6449.

In the event that the null hypothesis is correct, the likelihood of seeing a test statistic that is equally or even more extreme than the one generated from a sample is known as the p-value. The alternative hypothesis is a declaration of a difference or effect, while the null hypothesis is often a statement of "no effect" or "no difference" between two groups or situations. The statistical significance of data derived from a sample is assessed using the p-value. We reject the null hypothesis and come to the b that there is evidence for a difference or effect in the population if the p-value is less than a preset significance level (for example, 0.05). if the significance level is exceeded by the p-value.

Hence, using table critical value of z 0.05 is approximately 1.6449.

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Answer: a. 1759.52 radians/minutes

b. 1407.62 feet/minutes

Step-by-step explanation:

Diameter = 1.6 feet

Radius = Diameter/2= 1.6/2 = 0.8 feet

N = 280 revolution

a. Angular speed(w) = 2πN

= 2π × 280

= 560π

= 560 × 3.142

= 1759.52 radians/minutes

Speed of cyclist = wr

= 1759.52 × 0.8

= 1407.62 feet/minutes

Standard deviation does not mean independent events.

No, the standard deviation is a measure of the spread or variability of a set of data. It measures how much the individual data points in a dataset deviate from the mean or average of the dataset.

Independence, on the other hand, refers to the relationship between two or more events, where the occurrence of one event does not affect the probability of the other event occurring.

Standard deviation is not directly related to the concept of independence. However, when calculating the standard deviation of a dataset, it assumes that each data point is independent and identically distributed. This means that the value of one data point does not affect the value of another data point, and that each data point is drawn from the same underlying distribution.

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Answer:

opposites

Step-by-step explanation:

9+-9 = 0

When they add to zero they are opposites

Answer:

Step-by-step explanation:

9 and -9 are examples of opposite integers

Answer:

0.002704

Step-by-step explanation:

You just multiply 0.052 by itself

then divide the answer by 0.052

Answer: The answer is D: 7 1/2.

Step-by-step explanation:

Given:

Bobby put 1/3 of his lawn mowing money into his savings

He uses the remaining 2/5 to buy a video game.

He has $12 left.

To find:

The amount did he have at first.

Solution:

Let x be the initial amount.

Bobby put 1/3 of his lawn mowing money into his savings. So, the remaining amount is

\(x-\dfrac{1}{3}x=\dfrac{2}{3}x\)

He uses the remaining 2/5 to buy a video game. Then the remaining amount is

\(Remaining=\dfrac{2}{3}x-\dfrac{2}{3}x\times \dfrac{2}{5}\)

\(Remaining=\dfrac{2}{3}x-\dfrac{4}{15}x\)

\(Remaining=\dfrac{10x-4x}{15}\)

\(Remaining=\dfrac{6x}{15}\)

\(Remaining=\dfrac{2x}{5}\)

It is given that the remaining amount is $12.

\(12=\dfrac{2x}{5}\)

\(12\times 5=2x\)

\(60=2x\)

Divide both sides by 2.

\(\dfrac{60}{2}=x\)

\(30=x\)

Therefore, Bobby have $30 at first.

\({ \boxed{ \red{ \sf{y = 3 + 5x}}}}\)

Step-by-step explanation:

\({ \blue{ \tt{y - 5x = 3}}}\)

Shift -5x to right side then,

\({ \boxed{ \blue{ \tt{y = 3 + 5x}}}}\)

It's the first one I believe

Answer:

Pretty sure its E sorry if I'm wrong I learned this like 2 years aho

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

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Answer:

16 ==>> Length of PR

4 ==>> Value of A

3 ==>> Value of B

6 ==>> Length of QS

Step-by-step explanation:

==>> Since PQRS is a parallelogram the diagonals are symmetrically split by a shared midpoint: T

--

==>> Thus the values of A & B can be found by setting the sides to equal each other.

2B - 3 = B [add 3 and subtract B from both sides]

B = 3

A + 4 = 2A [subtract A from both sides]

4 = A

--

==>> Then to find the length of the diagonals: Plug the variables in and add both sides.

2(3) - 3   +   (3) =6

(4) + 4     +   2(4)  =16      

The correct matching of the elements to their values are:

This refers to the plane that has four sides and their opposite sides are parallel.

Hence, because PQRS is a parallelogram, the diagonals are symmetrically split by a shared midpoint:

This means that the values of A & B can be found by setting the sides to equal each other.

2B - 3 = B

B = 3

A + 4 = 2A

4 = A

Length of the diagonals:

2(3) - 3   +   (3) =6

(4) + 4     +   2(4)  =16      

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Answer:

D

Step-by-step explanation:

A and D are both equidistant from the x- axis, that is

A is 3 units above the x- axis and D is 3 units below the x- axis

then the x- axis is the line of symmetry

Answer:

B. h(x) = 2x^2 - 3x + 3

Step-by-step explanation:

Given

f(x)=3x+5

g(x)=2x^2 - 6x - 2

h(x) is sum of the functions f(x) and g(x)

Thus,

h(x) = f(x) + g(x)

substituting value of f(x) and g(x) as given above we have

h(x) = 3x+5 + 2x^2 - 6x - 2

as ( 3x - 6x = -3x and 5- 2 = 3) , we have

h(x) = 2x^2 -3x + 3

Thus, correct answer is option  B. h(x) = 2x^2 - 3x + 3.

Answer:

Step-by-step explanation:

Cost of 3 oranges = cost of 54 oranges / 18

Answer:

---------------------------------------

Let the cost of the meal be x.

Adding a tip of 19%:

Answer:

Wyatt should multiply with 1.19.

Step-by-step explanation:

Forming the expression,

→ 1 + (19% of 1)

Now the required number is,

→ 1 + (19% of 1)

→ 1 + ((19/100) × 1)

→ 1 + (19/100)

→ 1 + 0.19 = 1.19

Hence, required number is 1.19.

Answer:

To find the radius of the circle inscribed in an isosceles triangle, we can use the following formula:

r = (a/2) * cot(π/n)

where r is the radius of the inscribed circle, a is the length of one of the equal sides of the isosceles triangle, and n is the number of sides of the polygon inscribed in the circle.

In this case, we have an isosceles triangle with two sides of 5cm and one side of 6cm. Since the triangle is isosceles, the angle opposite the 6cm side is bisected by the altitude and therefore, the two smaller angles are congruent. Let x be the measure of one of these angles. Using the Law of Cosines, we can solve for x:

6^2 = 5^2 + 5^2 - 2(5)(5)cos(x)

36 = 50 - 50cos(x)

cos(x) = (50 - 36)/50

cos(x) = 0.28

x = cos^-1(0.28) ≈ 73.7°

Since the isosceles triangle has two equal sides of length 5cm, we can divide the triangle into two congruent right triangles by drawing an altitude from the vertex opposite the 6cm side to the midpoint of the 6cm side. The length of this altitude can be found using the Pythagorean theorem:

(5/2)^2 + h^2 = 5^2

25/4 + h^2 = 25

h^2 = 75/4

h = sqrt(75)/2 = (5/2)sqrt(3)

Now we can find the radius of the inscribed circle using the formula:

r = (a/2) * cot(π/n)

where a = 5cm and n = 3 (since the circle is inscribed in a triangle, which is a 3-sided polygon). We can also use the fact that the distance from the center of the circle to the midpoint of each side of the triangle is equal to the radius of the circle. Therefore, the radius of the circle is equal to the altitude of the triangle from the vertex opposite the 6cm side:

r = (5/2) * cot(π/3) = (5/2) * sqrt(3) ≈ 2.89 cm

Therefore, the radius of the circle inscribed in the isosceles triangle with sides 5cm, 5cm, and 6cm is approximately 2.89 cm.

29 years from now, the father will be 49 years old.

Let's start by setting up the given information:

Currently, the father is 20 years old, and the son is 5 years old.

In 10 years, the father will be twice as old as the son.

The father is currently four times as old as the son.

Determine the age of the father and son in 10 years:

In 10 years, the father's age will be 20 + 10 = 30 years.

In 10 years, the son's age will be 5 + 10 = 15 years.

Write equations based on the given information:

The father's age in 10 years will be twice the son's age in 10 years: 30 = 2 × 15.

The father's current age is four times the son's current age: 20 = 4 × 5.

Solve the equations:

From the second equation, we find that the son's current age is 5 years.

Plugging this value into the first equation, we get: 30 = 2 × (5 + 10).

Simplifying further, we have: 30 = 2 × 15, which is true.

Determine the current age of the son in 29 years:

The son's current age is 5 years.

Adding 29 years to the son's current age, we find that the son will be 5 + 29 = 34 years old.

Determine the current age of the father in 29 years:

The father's current age is 20 years.

Adding 29 years to the father's current age, we find that the father will be 20 + 29 = 49 years old.

Therefore, 29 years from now, the father will be 49 years old.

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The length of the fish caught that is equal to the lower quartile in the given box plot is: 10 inches.

The lower quartile (Q1) of a data is indicated on a box plot as the value at the beginning of the edge of the rectangular box.

The value at the beginning of the edge of the rectangular box in the box plot is 10.

Therefore, the length that is equal to the lower quartile is: 10 inches.

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Answer: the answer is D or for some people that have theres fliped its 10 inches

Answer:

8,2

Step-by-step explanation:

The total area of the figure is 528 square feet, which is closest to 440 square feet, so the answer is 440 ft2.

The five-sided figure is a trapezoid with two parallel sides, so we can use the formula for the area of a trapezoid to find the total area.

Area of a trapezoid = (sum of the lengths of the two parallel sides) / 2 * height

Let's call the length of the longer parallel side "L". Then the height of the figure is 22 feet, and the length of the shorter parallel side is 16 feet.

Area = (L + 16) / 2 * 22

We also know that the portion from the vertex to the perpendicular height is 8 feet, and the portion from a point to a vertical line created by two vertices is 4 feet. These two lengths form a right triangle, so we can use the Pythagorean theorem to find the length of the longer parallel side, L.

L² = (8 + 4)² = 64

L = 8

Now we can use the formula for the area of a trapezoid to find the total area.

Area = (L + 16) / 2 * 22 = (8 + 16) / 2 * 22 = 24 * 22 = 528

The total area of the figure is 528 square feet, which is closest to 440 square feet, so the answer is 440 ft2.

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Answer:

48

Step-by-step explanation:

Took the test

Answer:

o minutes5.10.15.20.25.30.35.40.45.50 minutes

The result is 16, which matches the information given in the problem. Thus, our solution is correct. Thao originally had 30 coins.

Let's solve this problem step by step.

Let's assume the number of coins Thao originally had is x.

According to the problem, Thao gives two fifths of her coins to her sister. Two fifths of x can be represented as (2/5)x.

After giving away two fifths of her coins, Thao receives 4 coins for her birthday. So, the number of coins she has now is (2/5)x + 4.

The problem states that she now has 16 coins. Therefore, we can set up the following equation:

(2/5)x + 4 = 16

To solve for x, we need to isolate x on one side of the equation. We can start by subtracting 4 from both sides:

(2/5)x = 16 - 4

(2/5)x = 12

To get rid of the fraction, we can multiply both sides of the equation by 5:

5 * (2/5)x = 5 * 12

2x = 60

Next, divide both sides of the equation by 2 to solve for x:

(2x)/2 = 60/2

x = 30

Therefore, Thao originally had 30 coins.

To verify our answer, we can substitute x = 30 back into the equation (2/5)x + 4 and see if it equals 16:

(2/5) * 30 + 4 = 12 + 4 = 16

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Answer:

NO i do not think so because you would end with a -4 not positive because a positive times a negative is a negative so (-3,4) is not a solution.

I hope this helps sorry if am wrong

Step-by-step explanation:

The three true statements are as follows:

In the list, there are several true statements and some of them include the facts that all triangles are polygons, they are closed figures and they have three straight sides.

A polygon is a shape with two or more sides. Triangles ahve three sides, so we can easily address them as polygons. Also, all triangles are closed figures and they also have three straight sides.

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9514 1404 393

Answer:

  5.1 cm²

Step-by-step explanation:

The area of a segment is given by the formula ...

  A = 1/2r²(α -sin(α)) . . . . . where α is the central angle in radians

For this segment, its area is ...

  A = 1/2(6 cm)²(7π/18 -sin(70°)) ≈ 5.077 cm²

The area of the segment is about 5.1 square centimeters.

_____

The angle is converted to radians by multiplying by π/180°. Then a 70° angle is π(70°/180°) = 7π/18 radians.