What is the diameter of a circle with radius 15

Answer:

Step-by-step explanation:

25%

80%

60%

100%

25%

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%.

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Answer:

DARK Blue! 0.4!

Step-by-step explanation:

The equation of lines are (a) x - 2y + 6 = 0

                                          (b) 2x - y - 4 = 0

                                          (c) x - y + 1 = 0

                                          (d) 4x + 3y + 4 = 0

Slope-intercept form of the equation -> y = mx + c

Slope = m = \(\frac{y2-y1}{x2-x1}\)

(a) A(0,3) and B(6,6)

    m = \(\frac{6-3}{6-0}\)

        = 3/6

        = 1/2

    Putting the value in equation,

     3 = (1/2)*0 + c

     c = 3

   Equation -> y = (1/2)x + 3

                     2y = x + 6

          x - 2y + 6 = 0  

(b) A(0,-4) and B(5,6)

    m = \(\frac{6+4}{5-0}\)

        = 10/5

        = 2

    Putting the value in equation,

     -4 = (2)*0 + c

     c = -4

   Equation -> y = (2)x - 4

          2x - y - 4 = 0  

(c) A(-4,-3) and B(2,3)

    m = \(\frac{3+3}{2+4}\)

        = 6/6

        = 1

    Putting the value in equation,

     3 = (1)*2 + c

      3 = 2 + c

      c = 3 - 2

      c = 1

   Equation -> y = (1)x + 1

                       y = x + 1

             x - y + 1 = 0  

(d) A(-6,4) and B(3,-8)

    m = \(\frac{-8-4}{3+6}\)

        = -12/9

        = -4/3

    Putting the value in equation,

     -8 = (-4/3)*3 + c

     -8 = -4 + c

      c = -8 + 4

      c = -4

   Equation -> y = (-4/3)x - 4

                     3y = -4x - 4

       4x + 3y + 4 = 0  

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The correct answer is 5.5988 x \(10^{-3}\) = 0.0055988

Explanation:

In mathematics and related areas, it is common the expression \(10^{n}\) (n = a whole number) that multiplies a number, this is known as scientific notation, and it used to express long numbers concisely. This type of notation implies the exponent number or n represents the number of zeros in the number or the number of spaces after/before the decimal period.

Additionally, if the exponent is positive this means the zeros are placed to the right of the number, while a negative exponent shows the zeros are on the left. For example 7 x \(10^{3}\) is equal to 7000 because the exponent indicates there are three zeros to the right of 7 or you need to move three spaces the period to the right, which is located right after 7. According to this, the expression 5.5988 x \(10^{-3}\) indicates there are 3 zeros to the left of this number or that you need to move three spaces the period and add zeros in these spaces, which is equal to 0.0055988. Therefore, both numbers are equal (=)

Answer:

7>h

Step-by-step explanation:

The possible values for the discriminant include the following:

A. -1

D. -18

In Mathematics and Geometry, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).

Since the graph of this quadratic function has no x-intercepts, we can logically deduce that the zeros, roots, or x-intercepts of this quadratic function must be an imaginary number.

Discriminant, D = b² - 4ac

In conclusion, we can reasonably infer and logically deduce that negative numbers such as -1 and -18 are possible values for the discriminant.

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Complete Question:

The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.

A. -1

B. 3

C. 0

D. -18

Answer:

The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units

Step-by-step explanation:

Given points are:

Q(-7,10) and A(3,4)

Here

\((x_1,y_1) = (-7,10)\\(x_2,y_2) =(3,4)\)

The distance between two points is the length of the segment formed by those two points. The distance between 2 points is given by:

\(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Putting the values

\(d = \sqrt{(3-(-7))^2+(4-10)^2}\\d = \sqrt{(3+7)^2+(-6)^2}\\d = \sqrt{(10)^2+(-6)^2}\\d = \sqrt{100+36}\\d = \sqrt{136}\\d= 11.66\ units\)

Hence,

The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units

Answer:

a turkey at the farm which weighs more than 90% of all the turkeys is predicted to be taller than 79.37 % of them.

The  average height for turkeys at the 90th percentile for weight is 34.554

Of the turkeys at the 90th percentile for weight, roughly the percentage that  would  be taller than 28 inches 79.37%

Step-by-step explanation:

Given that:

For a population of turkeys at a farm, the correlation found between the weights and heights of turkeys is r = 0.64

the average weight in pounds \(\overline x\) = 17

the standard deviation of the weight in pounds \(S_x\) = 5

the average height in inches \(\overline y\) = 28

the standard deviation of the height in inches \(S_y\) = 8

Also, given that the weight and height both roughly follow the normal curve

For this study , the slope of the regression line can be expressed as :

\(\beta_1 = r \times ( \dfrac{S_y}{S_x})\)

\(\beta_1 = 0.64 \times ( \dfrac{8}{5})\)

\(\beta_1 = 0.64 \times 1.6\)

\(\beta_1 = 1.024\)

To the intercept of the regression line, we have the following equation

\(\beta_o = \overline y - \beta_1 \overline x\)

replacing the values:

\(\beta_o = 28 -(1.024)(17)\)

\(\beta_o = 28 -17.408\)

\(\beta_o = 10.592\)

However, the regression line needed for this study can be computed as:

\(\hat Y = \beta_o + \beta_1 X\)

\(\hat Y = 10.592 + 1.024 X\)

Recall that;

both the weight and height roughly follow the normal curve

As such, the weight related to 90th percentile can be determined as shown below.

Using the Excel Function at 90th percentile, which can be computed as:

(=Normsinv (0.90) ; we have the desired value of 1.28

∴

\(\dfrac{X - \overline x}{s_x } = 1.28\)

\(\dfrac{X - 17}{5} = 1.28\)

\(X - 17 = 6.4\)

X = 6.4 + 17

X = 23.4

The predicted height \(\hat Y = 10.592 + 1.024 X\)

where; X = 23.4

\(\hat Y = 10.592 + 1.024 (23.4)\)

\(\hat Y = 10.592 + 23.9616\)

\(\hat Y = 34.5536\)

Now; the probability of predicted height less than 34.5536 can be computed as:

\(P(Y < 34.5536) = P( \dfrac{Y - \overline y }{S_y} < \dfrac{34.5536-28}{8})\)

\(P(Y < 34.5536) = P(Z< \dfrac{6.5536}{8})\)

\(P(Y < 34.5536) = P(Z< 0.8192)\)

From the Z tables;

P(Y < 34.5536) =0.7937

Hence,  a turkey at the farm which weighs more than 90% of all the turkeys is predicted to be taller than 79.37 % of them.

The  average height for turkeys at the 90th percentile for weight is :

\(\hat Y = 10.592 + 1.024 X\)

where; X = 23.4

\(\hat Y = 10.592 + 1.024 (23.4)\)

\(\hat Y = 10.592 + 23.962\)

\(\mathbf{\hat Y = 34.554}\)

Of the turkeys at the 90th percentile for weight, roughly what percent would you estimate to be taller than 28 inches?

i.e

P(Y >28) = 1 - P (Y< 28)

\(P(Y >28) = 1 - P( Z < \dfrac{28 - 34.554}{8})\)

\(P(Y >28) = 1 - P( Z < \dfrac{-6.554}{8})\)

\(P(Y >28) = 1 - P( Z < -0.8193)\)

From the Z tables,

\(P(Y >28) = 1 - 0.2063\)

\(\mathbf{P(Y >28) = 0.7937}\)

= 79.37%

We will investigate the angle measures and the properties involved with a pair of parallel lines.

We are given two pairs of parallel lines, namely:

The angle properties that are used in consequence of parallel lines are of the following:

Each of the above property describes a relationship between two angle measures. That is how two angles are related to one another in consequence of the parallel lines.

The angle measures are classified into two types as follows:

The complete expression is (2 × x) + (2 × 6). This is an equivalent expression to the given expression.

What is an expression?

A number, a variable, or a combination of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

Given expression is

2 (x+6)

Distributive property: The same outcome is obtained by multiplying the sum of two or more addends by a number as it is by multiplying each addend by the number separately and combining the resulting products.

The mathematical representation is a(b+c) = ab + ac.

Apply the Distributive property in the given expression:

(2×x) + (2×6)

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Answer:

\(x∈( - ∞;8]\)

Step-by-step explanation:

\(x + 9 - 3 \leqslant 14\)

Collect like-terms:

\(x \leqslant 14 - 9 + 3\)

\(x \leqslant 8\)

\(x∈( - ∞;8]\)

158.93 yd³ water it would take to completely fill the swimming pool.

Given that, a swimming pool has a volume of 32,100 gal and we have to find out that how many cubic yards of water it would take to completely fill the swimming pool.

1 cubic yard (yd³) ≈ 201.97 gallon (gal)

So, by using the conversion given above we can simply find the water in cubic yards that it would take to completely fill the swimming pool.

Volume of the swimming pool = 32,100 gal

and we know that, 1 cubic yard (yd³) ≈ 201.97 gallon (gal)

Now, we get

water needed in cubic yards to completely fill the swimming pool

= 32,100/201.97

= 158.93 yd³

Hence, 158.93 yd³ water it would take to completely fill the swimming pool.

Therefore, 158.93 yd³ is the required answer.

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The equation in terms of t that models the situation is given by

\(8192(1+\frac{0.01}{12} )^{12t} = 25710\).

We know that the interest on a loan or deposit that is accrued on both the initial principal and the total interest from prior periods is known as compound interest and it can be calculated as

\(A = P(1+\frac{r}{n})^{nt}\),

where P is the initial principal, r is the rate of interest, n is the number of times interest was charged for each time period, t is the amount of time that has passed and A is the final amount.

Here, P = 8192, r = 10% = 10/100 = 0.01, n = 12 and A = 25,710

So, we can write

\(8192(1+\frac{0.01}{12} )^{12t} = 25710\)

Therefore the required equation is

\(8192(1+\frac{0.01}{12} )^{12t} = 25710\)

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If 75% of Brannan's class attended her twelfth birthday party, we can find the number of students who came to the party by multiplying the total number of students in the class by the percentage that attended.

First, we need to convert 75% to a decimal by dividing by 100:

75% = 75/100 = 0.75

Next, we can multiply the total number of students in the class by the decimal that represents the percentage who attended:

Number of students who came to the party = 0.75 * 24

Number of students who came to the party = 18

Therefore, 18 students came to Brannan's twelfth birthday party.

the sum of all interior angles in a polygon is

so this one has 4 sides, so the sum of all those angles is 180(4 - 2) = 360, thus

\(10y+10y+9y+y~~ = ~~360\implies 30y=360\implies y=\cfrac{360}{30}\implies \boxed{y=12} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle J}{10(12)\implies 120}~\hfill \stackrel{\measuredangle K}{12}~\hfill \stackrel{\measuredangle L}{9(12)\implies 108}~\hfill \stackrel{\measuredangle M}{10(12)\implies 120}\)

Since then, it has spread to other rivers, colonized them, clogged the water intake pipes, and competed with local species for food. Zebra mussels are the method for removing a lot of plankton from the water column.

Here, we have,

The Caspian Sea in Asia is where zebra mussels, or Driessen polymorph, are found naturally.

They arrived in the Great Lakes region in the late 1980s via ballast water from a transatlantic ship.

The Great Lakes, Mississippi, Tennessee, Hudson, and Ohio river basins were all overrun by these mussels within ten years.

The lake's brilliant blue hue is a result of Tahoe's clean air and water.

There is more to this phenomenon than just the fact that Lake Tahoe's surface reflects the sky, which contributes to its blue color.

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complete question:

As you respond to Part A, Part B, and Part C, follow the directions below.

​

​Address all of the instructions in each prompt.

​Use evidence from the information provided and your own knowledge of science to support your responses.

Part A

​

Describe one way scientists near Lake Tahoe can detect if the lake has been impacted by zebra mussels.

Answer:

Step-by-step explanation:

Hello!

The statistical model predicts the appraised value of houses in a section of the county East Meadow (Y) in relationship with the number of rooms of the house (X)

For a sample of n=64 houses the simple linear regression was estimated:

^Y= 74.80 + 24.93X

Range of X: 5 - 11

Range of Y: 160 - 300 ($ thousands of dollars)

Interpretation of the estimates of the y-intercept and the slope

y-intercept:

74.80 thousand dollars is the estimated average value of a house in a section of the county East Meadow when the house has zero rooms.

Slope:

24.93 \(\frac{thousand dollars}{rooms}\) is the modification of the estimated average value of a house in a section of the county East Meadow when the number of rooms increases on one.

I hope this helps!

Answer:

9.59

Step-by-step explanation:

You divide 6.85 by 5 to get 1.37, then you multiply it by 7 to get your answer 9.59 :)

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

Answer:

can you take another picture its blurry

Step-by-step explanation:

Answer:

No, none of the number need to be 48 for the mean to be 48. To get a mean, you add up all the number and divide it by the amount of numbers.

Example:

the mean of 10, 79, 42, 88, 19, and 50 is 48, but the actual number 48 was not part of the set.

10 + 79 + 42 + 88 + 19 + 50 = 288

288 ÷ 6 = 48

Answer: 8

Step-by-step explanation:

I do not understand the question. But if my interpretation is correct, then:

If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.

The method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.

In order to enhance strong number sense in children, there are various methods that can be used.

In the given scenario, Mme Potatana asked the children to count as a whole class from 1 to 20 while Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count.

Both methods have their own benefits, but the method of counting seeds by touching each can be more effective in enhancing strong number sense in children.

The method of counting seeds by touching each can be more effective in enhancing strong number sense in children because it allows them to experience each number physically.

This helps them in developing a strong sense of numbers. By touching each seed as they count, children can feel and see each number, which helps them in understanding numbers better. Additionally, it helps in developing the concept of one-to-one correspondence and counting by rote.

Here are some appropriate examples for enhancing strong number sense using the method of counting seeds by touching each:

1. Use counters: Provide children with counters such as small objects, blocks, or toys. Ask them to count the number of counters by touching each as they count.

2. Counting on fingers: Encourage children to count on their fingers. This helps them in developing a strong sense of numbers and helps them in understanding the concept of one-to-one correspondence.

3. Counting objects in a pile: Ask children to count objects in a pile by touching each as they count. This helps in developing the concept of counting by rote and helps in enhancing strong number sense.

Overall, the method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.

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The area of the shaded sector of the circle is: 4π/3 units².

Area of sector of a circle = ∅/360 × πr², where r is the radius of the circle and ∅ is the central angle.

Given:

∅ = 120°

r = FG = 2

Thus:

Area of sector of a circle = 120/360 × π(2²)

Area of sector of a circle = 1/3 × π(4)

Area of sector of a circle = 4π/3 units²

Thus, the area of the shaded sector of the circle is: 4π/3 units².

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Answer:

The length of AB is 14 units.

Step-by-step explanation:

A(-6,5)

B(8,5)

6 + 8 = 14

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

Step-by-step explanation:

hello :

the sequence is geometric because : (1/4)/(-1/8) = (-1/8)/(1/16)=-2   = r

the nth term is :  An =A1 × r^(n-1)

a common ratio is : r  and A1 the first term

in this exercice :   r =2         A1 = 1/16

when : n =12 you have the  12rd term  A12

A12 = 1/16 × 2^(12-1)  = 1/16 × 2^(11)