Jeremiah is creating a playlist that has only one song from each of his favorite genres. The following table shows his favorite genres and the number of songs on his MP3 player for each genre.

Answer:39?

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

+ Total age of 5 people: 37 x5 = 185

+ Total age of 6 people (when 1 person enters the room): 38 x 6 = 228

+ The age of the person who enter the room is: 228 - 185 = 43 age

Answer:

A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B

= (0.51, 0.57)

This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)

B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.

Critical value = 2.33

Standard error = σₓ = √[p(1-p)/n]

p = sample proportion = 0.54

n = sample size = 1500

σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287

98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.54 ± (2.33 × 0.01287)

CI = 0.54 ± 0.02998)

98% CI = (0.51, 0.57)

98% Confidence interval = (0.51, 0.57)

B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?

For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;

- The sample data must have been obtained using a random sampling technique.

- The sampling distribution must be normal or approximately normal.

- The variables of the sample data must be independent of each other.

On the second point, the condition for a binomial distribution to approximate a normal distribution is that

np ≥ 10

and n(1-p) ≥ 10

The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.

For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Hope this Helps!!!

Answer:

I believe that it is 34

Step-by-step explanation:

Answer: -70

Step-by-step explanation: hope I helped

The number of possible combinations of 8 objects taken 6 at a time is 28. Then the correct option is D.

Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

The number of possible combinations of 8 objects taken 6 at a time.

Then the number of the combination is given as

[tex]\rm ^8C_6 = \dfrac{8!}{(8-6)! 6!}\\\\\\^8C_6 = \dfrac{8 \times 7 \times 6!}{2 \times 1 6!}\\\\\\^8C_6 = 7 \times 4\\\\\\^8C_6 = 28[/tex]

More about the combination link is given below.

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Answer: Option C is most Appropriate.

C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.

Step-by-step explanation:

Coordinates of vertices of ΔABC are =A(1,-1), B(1,-4),C(4,-4)

 Coordinates of vertices of ΔA'B'C' are =A'(1,5), B'(1,1),C(4,1)

Suppose, Preimage =ΔABC

Image =ΔA'B'C'

If you will find distance between two vertices of Both the triangles or length of sides of triangles

Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.

"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things".

For the given situation,

The triangle ABC has points A(1,-1), B(1,-4), C(4,-4)

The triangle A'B'C' has points A'(1,5), B'(1,1), C'(4,1)

Plot these two triangles in the graph as shown below.

The graph shows the relation between the triangle ABC and A'B'C'.

Both the triangles are separated by different units and are not images of one another.

Hence we can conclude that Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.

Learn more about graphs here

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Answer:FOOD, HYGIENE, ENTERTAINMENT

Step-by-step explanation:

The answer is:

Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study. Data scientists help in analyzing the collected data through data mining.

According to the given information

a)Keaton spend the most money on Food.

b) Keaton spend the least money on Hygiene Products.

c) Keaton spends about as much money on rent as he does on Entertainment.

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Answer:

C

Step-by-step explanation:

Answer: => means “implies” or “if and then”

p,q,r are statements

Step-by-step explanation:

Answer:

I hope this helps you. Have a great rest of your day!

The required, solution to the equation 2(t+1) = 10 is t = 4.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Expanding the left side of the equation, we get,

2t + 2 = 10

Subtracting 2 from both sides, we get,

2t = 8

Dividing both sides by 2, we get,

t = 4

Therefore, the solution to the equation 2(t+1) = 10 is t = 4.

Learn more about simplification here:

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Answer:

Step-by-step explanation:

Yes, because the sample is random. If she had chosen the participants in any way other than randomly, it would not be representative of her entire school.

Answer:Assuming all three, we shall find that each of the relations in 3:14 leads to a ... Then by 3:15 the relations AD//BC and AB||DE imply AD//CE, which excludes ... From 2:72, 3:11, 3:14, and 3:16 we deduce 3:19 If A, B, C are three distinct ... a point D lies between X and Y in AB/C if it belongs to XY/C, that is, if XY||CD

Step-by-step explanation:

Answer:

x=5/3, y= 4 2/3

Step-by-step explanation:

y=4x−2

y=x+3

x+3=4x-2

3=3x-2

5=3x

x=5/3

y=4(5/3)−2

y=6 2/3-2

y= 4 2/3

Answer:

None of them are perfect

Step-by-step explanation:

(62) 2 is in the list of numbers that are never perfect squares. The number 62 is NOT a perfect square

(61) No, the number 61 is not a perfect square. A perfect square is a number that can be expressed as the product of two equal integers. The only way to accurately calculate if a number is a perfect square is to find the factors.

(63) No, the number 63 is not a perfect square. A perfect square is a number that can be expressed as the product of two equal integers.

(65)  No, the number 65 is not a perfect square. A perfect square is a number that can be expressed as the product of two equal integers.

Answer:

x^2-7x+6=(x-1)(x-6)

This question is incomplete and it lacks the attached diagram of the square based pyramid. Find attached to this answer, the square based pyramid.

Correct Question

A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.

A. What is the slant height of the pyramid?

B. What is the surface area of the composite figure?

HINT: The surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.

C. How many cubic yards of concrete are needed to make the planter?

Answer:

A. The slant height of the pyramid = 2.24 yards.

B. The surface area of the composite figure = 12.94 square yards.

C. The cubic yards of concrete are needed to make the planter = 2.67 cubic yards.

Step-by-step explanation:

A. What is the slant height of the pyramid?

To calculate the Slant height of a pyramid we make use of the Pythagoras Theorem which is given as:

a² + b² = c²

Where a = Height of the square pyramid represent by h

b = radius of the square pyramid represented by r

c = Slant height of the square pyramid represented by s

Therefore, we have

h² + r² = s²

Looking at the attached diagram, we are given the side length = 2 yards.

The radius of the square based pyramid = side length ÷ 2

= 2÷ 2 = 1 yard.

The height of a square based pyramid = 2 yards

Since , h² + r² = s²

The slant height of the square pyramid is calculated as :

√h² + r² = s

√(2² + 1²) = s

√5 = s

s = 2.24 yards

B. What is the surface area of the composite figure?

We were given hints in the question that the the surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.

Step 1

We find the Lateral area of the faces of the insides of the inverted pyramid

We have 4 faces, Hence,

The formula is given as

a × √( a² + 4h²

a = 2 yards

h = 2 yards

So, = 2 × √( 2² + 4 ×2²

The Lateral area of the faces = 8.94 square yards.

Step 2

Area of the 5 faces of the cube

= a²

Where a = side length = 2 yards

= 2²

= 4 square yards.

Step 3

Therefore, surface area of the composite figure = 8.94 square yards + 4 square yards

= 12.94 square yards.

C. How many cubic yards of concrete are needed to make the planter?

This is calculated by find the Volume of the Square based pyramid.

The formula is given as :

V = (1/3)a²h

Where a = side length = 2 yards

h = height of the square based pyramid = 2 yards

V = 1/3 × 2² × 2

V = 2.67 cubic yards

Answer:

the answer is 3:5

Step-by-step explanation:

Total number of jobs for the interview = 15

number of job offers received by Gabby = 6

number of jobs not offered = 15 - 6 = 9

therefore, the relationship will be 9:15

                                                           3:5

Answer:

The measures are 2.5 deg and 177.5 deg.

Step-by-step explanation:

The ratio of the measures of larger angle to the smaller angle is 71:1.

71k + k = 180

72k = 180

k = 180/72

k = 2.5

71k = 71 * 2.5 = 177.5

Answer: The measures are 2.5 deg and 177.5 deg.

a) Because each pick is independent (we pick and then replace), we just have to find the probability of picking it out once, then cube that. This probability is 4/(3+3+4)=2/5. So, it is 8/125.

b) If we replace it, then we can do it in a strategic way:

The probability of picking it out the first time is 2/5. Now, there are 3 button downs and 9 shirts total.

The second time: 3/9=1/3

Now there are 2 and 8

Third time: 2/8=1/4.

The final probability is 2/5*1/3*1/4=1/30

Answer:

why is there an N not paired up with A at the beginning, and an A without an N at the end? oh my gosh dude pair them up theyre lonely

Step-by-step explanation:

The length between is the number 9 , just add 29 to 20 which is just 9 more numbers

Answer:

The length of the width is 1

Step-by-step explanation:

Since we are not finding the hypotenuse and we are given it, we have to rearrange the a² + b² = c² equation because that equation is to find the hypotenuse of a right - angled triangle and we are not asked to find the hypotenuse but the width so

a² + b² = c²

→ Substitute in the values

( √3 )² + b² = 2²

→ Simplify equation

3 + b² = 4

→ Minus 3 from both sides to isolate b²

b² = 1

→ Square root both sides to isolate b

b = 1

Answer:

- 4

Step-by-step explanation:

The number of points earned by Anthony is the sum of all the individual points earned from the 5 throws. Considering that he had -6 on 2 throws, 10 from one throw, 2 and the -4 from the final set of throws, the total is equivalent to

= -6 - 6 + 10 + 2 -4

= -4

Anthony earned a total of - 4 from the 5 throws.

Answer:

[tex]\dfrac{1}{6}[/tex]

Step-by-step explanation:

Let A be the event of getting an odd number.

P(A) be the probability of getting an odd number.

Total odd numbers here are 6 i.e. [tex]\{1,3,5,7,9,11\}[/tex]

Here, total numbers in the game are 12 i.e [tex]\{1,2,3,....,12\}[/tex].

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

[tex]P(A) = \dfrac{6}{12}\\\Rightarrow \dfrac{1}{2}[/tex]

Let B be the event of getting 11.

P(B) be the probability of getting 11.

Total number of possible cases is 1.

[tex]P(B) = \dfrac{1}{12}[/tex]

[tex]P(A \cap B)[/tex] is the probability that we get 11 and an odd number.

Possible number of cases = 1

[tex]P(A\cap B) = \dfrac{1}{12}[/tex]

P(B/A) is the probability that we get an 11 given that it is an odd number.

[tex]P(B/A) = \dfrac{P(A \cap B)}{P(A)}\\\Rightarrow \dfrac{\dfrac{1}{12}}{\dfrac{1}{2}}\\\Rightarrow \dfrac{1}{6}[/tex]

Hence, P(B/A) = [tex]\dfrac{1}{6}[/tex]

Answer:

The probability in fraction is [tex]\frac{1}{12}[/tex].

Step-by-step explanation:

Total number of outcomes is = 12

Now we have to find the probability that spun number is 11.

That means favorable outcome is 1.

In this case, the probability can be determined by dividing the number of favorable outcomes by the total outcome. Accordingly, the total outcomes are 12 and favorable outcome is 1.  

[tex]\text{P(The spun number is 11)}= \frac{\text{Favorable outcomes}}{\text{total outcomes}} \\\text{P(The spun number is 11)}= \frac{1}{12} \ (in \ fraction)\\\text{P(The spun number is 11)} = 0.083 \ (in \ decimal)[/tex]

Answer:

The area of smaller sector is:

S = pi x 8^2 x 80/360 = 44.68 m2

Hope this helps!

:)

Answer:

Step-by-step explanation:

the distributive properrty of 6 + 30

6(1 + 5)

Answer:

15.3 miles.

Step-by-step explanation:

Area of trapezoid is given by = 1/2*( sum of parallel side) height

Given area of trapezoid = 221.85 sq. miles

Length of parallel sides = 19 miles and 10 miles.

Sum of parallel sides = 19 miles + 10 miles = 29 miles.

Plugging the above values in formula for area of trapezoid we have

Area of trapezoid is given by = 1/2*( sum of parallel sides) height

221.85 = 1/2 (29) height

=> 221.85* 2 = 29* height

=> 443.7 = 29* height

=> 443.7/29 =  height

=> height = 15.3

Thus, height is 15.3 miles.

Answer:

17/2

Step-by-step explanation:

multiply 8x2 then add 1

Answer:

17/2

Step-by-step explanation:

The first step is to convert 8 into fractional form. 8=8/1, which is equal to 16/2. Adding this to the other 1/2, you get a total of 17/2. Hope this helps!