A data set has these values: 10, 12, 12, 14, 14, 14, 14, 16, 16, 18. The
histogram of the distribution is shown.
Which statement does not describe the data set?
A. It has a median of 14
B. It is symmetric
C. It has a range of 19.
D. It has a mode of 14

Answer:

C. 4.88

Step-by-step explanation:

The computation of the Value of F is shown in the attachment below.

Data provided in the question is as follows

Number of treatments = 4

Total number of observations = 12 × 4 = 48

SST = 210

SS = 840

So, SSW is

= SS - SST

= 840 - 210

= 630

Based on the above information, the value of F is 4.88

Hence, the correct option is C. 4.88

Answer:

y=-2(x-1)^2+1

Step-by-step explanation:

sub in the vertex and points.

then using algebra, find a.

Answer:

1.5r + 7 ≤ 30

Step-by-step explanation:

r = rides rode (that's sounds weird but funny lol)

Admission costs $7. Each ride costs $1.50, so the money he spends has to be less than or equal to $30

Answer:

1/18 ?

Step-by-step explanation:

I'm not sure if you're written the whole question?

3 pans with 6 muffins in each pan, so total number of muffins = 3 x 6 = 18

So each muffin is 1/18

Answer:

3/18

Step-by-step explanation:

you got 3 pans with 6 in each

Answer: 45

Step-by-step explanation:

\(f(-5)=2(-5)^{2} -5\)

\(f(-5)= 2(25) -5\)

\(f(-5) = 50-5\)

\(f(-5) = 45\)

Answer:

Step-by-step explanation:

The perpendicular bisector of any chord is a diameter and therefore passes through the center of the given circle.

The triangle OMA is thus rectangle.

The locus of M is the circle of diameter OA  with center (1,0) and radius 1.

Answer:

3

Step-by-step explanation:

There are 8 pints in a gallon. If there are 24 pints needed for this party then you divide 24 by 8.

24/8= 3

3 is the amount of gallons

Given the equations a × b = 5742 × 6368, a × c = 5748 × 6362, and c × b = 5738 × 6372, we need to determine the relationship between the three variables a, b, and c.

By comparing the given equations, we notice that the numbers on the right-hand side of each equation are very close to each other, differing only by small amounts. This suggests that a, b, and c are approximately equal.Since a × b, a × c, and c × b involve the same numbers with slight variations, we can conclude that a, b, and c are all very close in value.

Therefore, the inequality we can infer from this information is a ≈ b ≈ c, indicating that a, b, and c are approximately equal.

In simple terms, based on the given equations, it suggests that the values of a, b, and c are very similar or approximately equal to each other.

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Answer:

The sample mean (x⁻ ) is the point of estimate of the Population mean

x⁻ = 7.7

The sample standard deviation   (S)  is the point of estimate of the Population standard deviation

 S = 3.65

Step-by-step explanation:

Step(i):-

Given data    12  7  6  3   5   12   9   10  11  2

Mean of the data

          \(x^{-} = \frac{12+7+6+3+5+12+9+10+11+2}{10} = 7.7\)

x          :     12      7       6       3        5         12      9       10           11        2

x-x⁻      :   4.3     -0.7    -1.7   -4.7    -2.7     4.3    1.3      2.3         3.3     -5.7

(x-x⁻  )² :  18.49  0.49   2.89  22.09 7.29  18.49 1.69    5.29  10.89   32.49

Step(ii):-

Standard deviation of the sample

\(S^{2} = \frac{sum (x-x^{-})^{2} }{n-1} = \frac{120.1}{10-1} = 13.344\)

Standard deviation of the sample

 S = √13.344 =3.65

Final answer:-

The sample mean (x⁻ ) is the point of estimate of the Population mean

x⁻ = 7.7

The sample standard deviation   (S)  is the point of estimate of the Population standard deviation

 S = 3.65

Answer:

D

Step-by-step explanation:

2y=10x

Divide both sides by 2.

y=5x

Now substitute this into the second equation.

Answer:

b. \(x^2/64 - 5y^2/36=1\)

Step-by-step explanation: a p e x

Hey there! I'm happy to help!

Let's think through all of the possibilities that can get us a seven. We can just start with 1 and then count up.

(1,6)

(6,1)

(2,5)

(5,2)

(3,4)

(4,3)

We see that there are six different possibilities that can gives us a seven. 6/36 is 1/6, so our probability is 1/6.

Have a wonderful day! :D

Answer:

B, 1/6

Step-by-step explanation:

There are many ways to get 7 with two dice. The ways are 1+6, 2+5, 3+4, 4+3, 5+2, and 6+1, which are 6 ways. There are 36 total ways with each dice having 6 possibilities. so 6/36 can be simplified into 1/6

The measure of the angles formed between parallel lines and their transversals indicates;

9. m∠3 = 97°, m∠5 = 97°, m∠10 = 97°, m∠7 = 83°

Parallel lines are lines that  maintain the are equidistant from each other and have the same slope on the coordinate plane.

The angles formed between the parallel lines and their transversal are;

1. Alternate exterior angles; (c) ∠9 and ∠16
2. Supplementary angles (e);  ∠15 & ∠11

3. Alternate interior angles (a); ∠10 & ∠15

4. Vertical angles (d); ∠12 & ∠15

5. Corresponding angles (b); ∠9 & ∠11

6. None (f); ∠9 & ∠15

7. Supplementary angles (e); ∠13 & ∠14

8. Alternate interior angles; ∠14 & ∠11

9. The alternate interior angles theorem indicates that we get;

(a + 28) = 2·a

Therefore; 2·a - a = 28

2·a - a = a, therefore;

a = 28

∠MNP = (a + 28)° = (28 + 28)° = 56°

10. The alternate interior angles theorem indicates that we get;

5·y° = (2·y + 78)°

Therefore;

5·y - 2·y = 78

3·y = 78

y = 78/3 = 26

The measure of the angle WXZ, m∠WXZ = 5·y°

Therefore; m∠WXZ = 5 × 26 = 130

m∠WXZ = 130°

9. ∠2 ≅ ∠3 (Vertical angles theorem)

m∠2 = m∠3

Therefore; m∠3 = m∠2 = 97°

m∠5 + m∠6 = 180° (Linear pair angles theorem)

m∠5 + 83° = 180°

m∠5 = 180° - 83° = 97°

∠10 and ∠2 are corresponding angles, therefore;

m∠10 = m∠2 = 97°

∠7 and ∠6 are vertical angles, therefore;

m∠7 = m∠6 = 83°

∠9 and ∠3 are same side interior angles, therefore;

m∠9 + m∠3 = 180°

m∠9 = 180° - m∠3

m∠9 = 180° - 97° = 83°
∠8 and ∠6 are linear pair angles, therefore; m∠8 = 180° - 83° = 97°

∠16 and ∠6 are same side exterior angles, therefore;

m∠16 + m∠6 = 180°

m∠16 = 180° - 83° = 97°

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The number of courses that the person has to complete based on the information given is 48 courses.

It should be noted that from the information, it was stated that the person completed 7 courses of a video game that has 8 levels and that each level has 6 courses.

Therefore, since the person has completed seven out of right, there's one left and Thai has levels which means the total courses will be:

= 8 × 6

= 48

Therefore, the number of courses that the person has to complete based on the information given is 48 courses.

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The only true statement about the domain of the given function is:

B. f(x) is negative for all x < -5

The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).

Now, we are given the function as:

f(x) = \(\frac{2}{x^{2} } + 3x - 10\)

When x < -5, we have:

f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)

f(-4) = -21.875

This suggests that for all values below x = -5 will result in negative values

When x > 2

f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)

f(3) = -0.78

Thus, it will get positive for higher values but it can also be negative as seen here.

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Answer:

x = 5

Step-by-step explanation:

We know that BD = 2x - 1 and BC + CD = BD.  Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:

BC + CD = BD

x - 3 + 7 = 2x - 1

x + 4 = 2x - 1

x + 5 = 2x

5 = x

Thus, x = 5

Checking the validity of our answer:

We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:

5 - 3 + 7 = 2(5) - 1

2 + 7 = 10 - 1

9 = 9

Thus, our answer is correct.

Answer:

  k = 110

Step-by-step explanation:

You want the integer multiple of pi that is the area of 300° of a donut with inner radius 8 cm and outer radius of 14 cm.

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

  A = πr²

Then the area of the outer circle is ...

  A = π(14 cm)² = 196π cm²

The area of the inner circle is ...

  A = π(8 cm)² = 64π cm²

The area of the whole donut is the difference of these areas:

  whole donut area = (196 -64)π cm² = 132π cm²

The shaded area of the figure represents 300° of the 360° full donut. The area is proportional to the central angle, so the shaded area is ...

  shaded area = (300°/360°)×whole donut area

  shaded area = 5/6 × 132π cm² = 110π cm²

Comparing this to the expression kπ cm², we see that ...

  k = 110

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

The expression is 7 over 30 times t plus 7

The expression says  two fifths times t minus 7 plus two thirds times t end quantity minus quantity five sixths times t plus 14 end quantity.

The expression can be express and simplified as follows:

2 / 5 × t - 7 + 2 / 3 × t  - 5 / 6 × t + 14

Therefore,

2 / 5 × t - 7 + 2 / 3 × t  - 5 / 6 × t + 14

2 / 5 t  - 7 + 2 / 3t  - 5 / 6 t + 14

Hence, combine like term

2 / 5 t + 2 / 3 t - 5 / 6 t - 7 + 14

Do the arithmetic of the like terms

2 / 5 t + 2 / 3 t - 5 / 6 t - 7 + 14

12t + 20t - 25t / 30 + 7

32t - 25t / 30 + 7

Therefore,

32t - 25t / 30 + 7

7t / 30 + 7

Therefore, the expression is 7 over 30 times t plus 7

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Answer:

2.1314 Months.

Step-by-step explanation:

The time it will take to pay off the credit card is 3.86 months.

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest =P(1+r/n)^rt

We are given that;

Debt credit card= 1024

APR=15%

Now,

FV is the remaining balance of the credit card debt, PMT is 300, i is 0.15/12 (the APR divided by 12 months), and n is the number of months. We want to find n when FV is zero, which means the debt is paid off. So we have: 0=300×0.15/12(1+0.15/12)n−1​

Solving for n, we get: n=log(1+0.15/12)log(1−0.15/12×0/300)​≈3.86

Therefore, by the given interest rate the answer will be 3.86 months .

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Answer:

x = 1

Step-by-step explanation:

2x + 8 = 4x + 6

subtract 6 from both sides of the equation

2x + 8 - 6 = 4x + 6 - 6

2x + 2 = 4x

subtract 2x from both sides of the equation

2x - 2x + 2 = 4x - 2x

2 = 4x - 2x

2 = 2x

divide both sides of the equation by 2

2/2 = 2x/2

1 = x

Answer:

12

Step-by-step explanation:

(5/25)(15/24)

Answer:

y = x + 2

Step-by-step explanation:

b is 2 because it is where the line crosses the y axis

m is 1 because the line only moves up one block at a time

I hope this helps!

Answer & Step-by-step explanation:

a) For Cinderella's equation, we will write it as  3^(x-1) (x being the day)
For Aurora's equation, we will write it as 65+10n (x being the day)

b) Since Aurora's number only increases by 10 a day, that equation is linear. Since Cinderella's number increases by a greater amount everyday and has an exponent, her equation is exponential.

c) Plugging in 8 for x in each equation, we get
2178 for Cinderella and
145 for Aurora

Meaning that Cinderella will sell far more on the 8th day.

Answer:

The slope of the line is -1/2, and the entire equation should be y = -1/2x + 3/2

Step-by-step explanation:

Choose two points along the line, for this I chose (3,0) and (-1,2). Finding the slope from there should be (y2 - y1)/(x2-x1), or -1/2. To get the entire line use point slope form of y - y1 = slope (x -x1) with one of the points you already found.

Hopefully this helps- let me know if you have any questions!

9514 1404 393

Answer:

Step-by-step explanation:

In early primary education, when you're learning your arithmetic facts, you were probably exposed to math problems that looked like this:

  ___ + 4 = 5

In algebra problems, we give a name to the blank, and we call that name a "variable." In this problem, we have have named the blank "y". The variable in the equation is y.

  y + 4 = 5

__

To answer the math question above, we fill in the blank with the numerical value that makes the statement true. To solve the algebraic equation, we find the value of y that makes the equation true.

__

1 goes in the blank to make the original statement true:

   1   + 4 = 5

1 is a solution to the equation because replacing y with 1 makes 1+4=5 a true statement.

Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

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Answer:

c

Step-by-step explanation:

c because trust me i did it before im in 10th grade now