Matt has two very active dogs...

Answer: c) 91.68 < μ < 98.32

Step-by-step explanation:

Let μ  be the mean score of all students.

Let [tex]\overline{x}[/tex] represents the sample mean score.

As per given , we have

Sample size : n= 30

Sample mean : [tex]\overline{x}=95[/tex]

Sample standard deviation: [tex]s=6.6[/tex]

Significance level [tex]\alpha=0.01[/tex]

Now, Confidence interval of mean when population standard deviation is unknown is given by :-

[tex]\overline{x}\pm t_{\alpha/2, df}\dfrac{s}{\sqrt{n}}[/tex]

Degree of freedom = n-1 = 29

Critical two-tailed t-value : [tex]t_{0.01/2,29}=t_{0.005,29}=2.756[/tex] [By students' t distribution table]

Confidence interval of mean will be:

[tex]95\pm (2.756)\dfrac{6.6}{\sqrt{30}}\\\\=95\pm (2.756)\dfrac{6.6}{5.47722557}\\\\=95\pm (2.756)(1.205)\\\\=95\pm 3.32\\\\= (95-3.32, 95+3.32)\\\\=(91.68,\ 98.32)[/tex]

i.e. a 99% confidence interval for the mean score of all students : 91.68 < μ < 98.32

So correct option is c) .

quadrant 4

.................

Answer:

Quadrant 4

Step-by-step explanation:

In Quadrant 4 the x-axis is positive (+) and the y-axis is negative (-). Here is the point plotted on a coordinate grid to help you understand better.

Hope this helps :)

Answer:

  14

Step-by-step explanation:

The objective function C=x+3y is the same as one of the constraining boundaries, x+3y≥14. Hence the minimum value of C is constrained to be 14.

Answer:

Dhshshshhshsjehsjsjjsjssjsjsjsjsjsjjshhdhddhhdjdjddjdjjhdhdkdhjsdfggdhjjjjd

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x^2(x^2 - 5x + 6)

4x^2(x - 3)(x - 2)

The domain is the set of possible x values or inputs. We list each unique x value once (ignoring any repeats)

The range is the set of possible y outputs. Convention is to sort the values from smallest to largest.

This relation is not a function because the x value x = 5 corresponds to multiple y values.

Answer:

1y - 5

Step-by-step explanation:

Remember to follow PEMDAS. Simplify the expression.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, distribute -5 to all terms within the parenthesis:

-5(y) = -5y

-5(1) = -5

Next, combine like terms:

-5y + 6y - 5

(-5y + 6y) - 5

1y - 5

1y - 5 is your answer.

~

Divide US population by Vermont :

3x 10^8 / 6x10^5

3/6 = 1/2 = 0.5

10^8 / 10^5 = 10^3

0.5 x 10^3 = 500

The answer is 500 times

All we need to do is divide.

3*10^8/6*10^5

0.5^8-5

0.5^3

500

Therefore, the answer is 500 times.

Best of Luck!

Answer:

the perimeter is 13yd + 13yd + 5yd +5yd = 36yd

the area is 5yd + 5yd = 10yd, 10yd × 12yd ÷ 2 = 60yd

Answer:106.

Step-by-step explanation:

Answer:

[tex] x = 18 [/tex]

Step-by-step explanation:

Given:

Angle ABC = 2x

Angle CDE = 8x

Required:

Value of x

SOLUTION:

Line AB is parallel to line CD, therefore, angle ABC and angle BCD are alternate interior angles. Alternate interior angles are equal. Thus:

Angle ABC = Angle BCD = 2x

Since, line BC is parallel to line DE, angle BCD and angle CDE are consecutive interior angles.

Consecutive interior angles are supplementary, therefore:

Angle BCD + Angle CDE = 180°

[tex] 2x + 8x = 180 [/tex]

Use this equation to solve for x

[tex] 10x = 180 [/tex]

Divide both sides by 10

[tex] \frac{10x}{10} = \frac{180}{10} [/tex]

[tex] x = 18 [/tex]

Answer:

Any number less than -13.

Step-by-step explanation:

If the number is real and rational and non-natural, this means that it can be any number in the negative number space.

Additionally, since the number has to be less than -13, then the number could be any number less than -13.

With all these things considered, the number is any number less than -13 that is real and rational.

Cheers.

Answer:

The overall group of sciences that study numbers, shapes and their relationships. An example of math is arithmetic, the study of addition, subtraction, multiplication and division.

Answer:

0.16

Step-by-step explanation:

Answer:

x + 3.5

Step-by-step explanation:

You are adding

hopefully this helps you:)

Answer:

Yes

Step-by-step explanation:

6,000 is 10 times greater than 60

Answer:

89

Step-by-step explanation:

Given that

2 O, 2 T and 1 M

Now based on this, the following ways are there  

1

Three ways i.e. {M,T,O}

2

XX or XY

XX in 2C1 = two ways i.e. {OO or TT}

XY in 3C2 × 2! = six ways

3

XXY or XYZ

XXY in 2C1 × 2C1 × 3! ÷ 2! = twelve ways

XYZ in 3C3 × 3! = six ways

4

XXYY or XXYZ

XXYY = 4! ÷ (2! × 2!) = six ways

XXYZ in 2C1 ×  4! ÷ 2! = twenty four ways

5

= 5! ÷ (2! ×2!)

= 120 ÷ 4

= 30

Therefore, the total is

= 3 + (2 +6)+ (12 +6) + (6 +24) + 30

= 89

There are 30 different letter permutations.

The word is given as:
MOTTO

From the given word, we have the following parameters:

The number of different (d) letter permutation is then calculated as:

[tex]d = \frac{n!}{T!O!}[/tex]

This gives

[tex]d = \frac{5!}{2!2!}[/tex]

Evaluate each factorial

[tex]d = \frac{120}{2 \times 2}[/tex]

Evaluate the product of 2 and 2

[tex]d = \frac{120}{4}[/tex]

Divide 120 by 4

[tex]d = 30[/tex]

Hence, there are 30 different letter permutations.

Read more about permutations at:

https://brainly.com/question/11732255

Answer:

Step-by-step explanation:

6 + 8 + p = 14 + p

Answer: 14+p

Step-by-step explanation:  We have to add these numbers-

6 + 8 + p

14+p

(Since we don't know the value of p this is how far we can simplify )

Answer:

3x^2 - 48 = 0

Step-by-step explanation:

The roots of a quadratic equation whose roots are -4 and 4, means that valid solutions for the quadratic equation are -4 and 4.

The two forms we know for the quadratic equation are the factored binomials:

(ax + cy)(bx + dz) = 0

and the full equation

ax^2 + bx + c = 0

We will start with the factored form:

(x + 4) ( x - 4) = 0

Note that if we solve this, we get the roots:  x + 4 = 0  ==> -4 && x - 4 = 0 ==> 4

Now we apply foil to get the unfactored form:

(x + 4) (x - 4) = 0

x * x + x * -4 + 4 * x + 4 * -4 = 0

x^2 + -4x + 4x + -16 = 0

x^2 - 16 = 0

And now we want the leading coefficient to be 3.

3x^2 - 16  = 0

This looks like what we want; however, now with the leading 3, our solutions are no long +4 and -4.  So, we need to re-evaluate.

Going back to the binomials with the idea of a leading 3, let's rewrite them to still give us the solutions 4 and -4, but with the 3 included:

(3x + 12) (x - 4) = 0

Note, we simply multipled one binomial by 3 to maintain the roots of the original, but also incorporate the leading 3.

3x + 12 = 0              x - 4 = 0

3x = -12                        x = 4

x = -4

So now, we simply apply foil to this new equation of binomials to get our final quadratic equation:

(3x + 12) (x - 4) = 0

3x * x + 3x * -4 + 12 * x + 12 * -4 = 0

3x^2 + -12x + 12x + -48 = 0

3x^2 - 48 = 0

This is our quadratic equation we wish to use.

Note, we could have gotten this same equation by simply multiplying the original (x^2 - 16) = 0 by 3.

Cheers.

Answer:

the answer is zero

Step-by-step explanation:

-9+9=0

Answer:

ok

Step-by-step explanation:

Answer:

Decomposers in a food web are organisms that break down dead or decaying organisms and turn them into simpler, inorganic materials, making nutrients available for primary producers. A rotten fruit is not completely wasted because it will go back into the dirt for a producer to use, and the food chain continues.

Hope this helps!

Answer:

m ≈ 3

Step-by-step explanation:

3.53631284916 x 10^3 ≈ 3 x 10^3

Answer:

n=-24

Step-by-step explanation:

Answer:

n =-24

Step-by-step explanation:

[tex]n-29=-53[/tex]

Collect like terms and simplify

[tex]n =-53+29\\\\n =-24[/tex]

Answer:

10.8 meters

Step-by-step explanation:

1.2 times 9 minutes= 10.8

Answer:

10.8 meters

Step-by-step explanation:

9 * 1.2 = 10.8

Step-by-step explanation:

75+54

129°

the answer is 129°

The answer would be

B. 9