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Salsk061 [2.6K]
3 years ago
14

You have to download question

Mathematics
1 answer:
solmaris [256]3 years ago
4 0

Answer:

B) Mode doesn't change.

Step-by-step explanation:

Given:

A set of data with 16 being added to the set.

The mode of a given set of data is the data that is repeated the most number of times.

Here, 19 is repeated 3 times, so the mode is 19.

Now, if a number other than that of 19 being added, doesn't affect the mode of the data set as 19 will still be 3 times and adding 16 will not increase its number in the set.

So, the correct option is B.

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2) Two full revolutions = how many degrees? I
VARVARA [1.3K]

Answer:

720 degrees

Step-by-step explanation:

one full rotation is 360 degrees

360 + 360 = 720

5 0
3 years ago
Read 2 more answers
Please help me (30 points) 1. A recipe calls for 2 1/3 cups of flour, 3/4 cups of white sugar, and 1/3 cups of brown sugar. The
Katena32 [7]

Lets find how much flour we need for just one serving.

2 2/3 ÷ 6

8/3 ÷ 6

8/3 * 1/6

8/18

4/9 cup of flour per serving

If we triple the recipe (6 * 3 = 18), we will have a total of 18 servings. Multiply the amount of flour we got for one serving to 18 servings.

4/9 * 18/1

72/9

8 cups of flour for 18 servings

Best of Luck!

4 0
2 years ago
Plz help<br> and explain
vovikov84 [41]
To solve this problem, we need to first find the dimensions of the side of the blue and purple squares.

We're given that the purple (smaller) square has a side length of x inches.
We are also given that the blue band has a width of 5 inches.
Since the blue band surrounds the purple square on both sides, the length of the blue square is x+2(5)=x+10 inches.

The net area of the band is therefore the difference of the area of the blue square and the purple square, namely take out the area of the purple square from the blue.

Therefore
Area of band
=(x+10)^2-x^2    [recall (a+b)^2=a^2+2ab+b^2
=x^2+20x+100-x^2
=20x+100   or 20(x+5)  if you wish.

8 0
3 years ago
What are 2 equivalent ratios to 27:9?​
Andrei [34K]

Answer:

3:1

54:18

Step-by-step explanation:

You can divide both sides by 9 to get one ratio:

27/9:9/9

3:1

You can also multiply both sides by 2 to get another ratio:

27(2):9(2)

54:18

8 0
3 years ago
There are three power plants [X, Y, Z] that at any given time each one either generates electricity or idles. Event A is that pl
insens350 [35]

We're told that

P(A\cap B)=0.15

P(A\cup B)^C=0.06\implies P(A\cup B)=0.94

P(B\mid A)=P(B^C\mid A)=0.5

where the last fact is due to the law of total probability:

P(A)=P(A\cap B)+P(A\cap B^C)

\implies P(A)=P(B\mid A)P(A)+P(B^C\mid A)P(A)

\implies 1=P(B\mid A)+P(B^C\mid A)

so that B\mid A and B^C\mid A are complementary.

By definition of conditional probability, we have

P(B\mid A)=P(B^C\mid A)

\implies\dfrac{P(A\cap B)}{P(A)}=\dfrac{P(A\cap B^C)}{P(A)}

\implies P(A\cap B)=P(A\cap B^C)

We make use of the addition rule and complementary probabilities to rewrite this as

P(A\cap B)=P(A\cap B^C)

\implies P(A)+P(B)-P(A\cup B)=P(A)+P(B^C)-P(A\cup B^C)

\implies P(B)-[1-P(A\cup B)^C]=[1-P(B)]-P(A\cup B^C)

\implies2P(B)=2-[P(A\cup B)^C+P(A\cup B^C)]

\implies2P(B)=[1-P(A\cup B)^C]+[1-P(A\cup B^C)]

\implies2P(B)=P(A\cup B)+P(A\cup B^C)^C

\implies2P(B)=P(A\cup B)+P(A^C\cap B)\quad(*)

By the law of total probability,

P(B)=P(A\cap B)+P(A^C\cap B)

\implies P(A^C\cap B)=P(B)-P(A\cap B)

and substituting this into (*) gives

2P(B)=P(A\cup B)+[P(B)-P(A\cap B)]

\implies P(B)=P(A\cup B)-P(A\cap B)

\implies P(B)=0.94-0.15=\boxed{0.79}

8 0
3 years ago
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