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kotegsom [21]
2 years ago
6

PLEASE HELP! I SUCK AT MATHHH, THANK YOUUU!!!

Mathematics
1 answer:
vfiekz [6]2 years ago
3 0

Answer: 21/400

Step-by-step explanation:

Multivitamin:

8 cherry, 5 grape, and 7 orange

Total fruits in Multivitamin container :

(8 + 5 + 7) = 20

P(orange) = Total required outcome / Total possible outcomes)

P(orange) = 7/20

Calcium vitamin :

11 berry, 3 lemon, and 6 pineapple

Total fruits in calcium vitamin container:

(11 + 3 + 6) = 20

Probability of picking a lemon:

P(lemon) = Total required outcome / Total possible outcomes)

P(lemon) = 3/20

Therefore, probability of picking an orange and a lemon equals:

P(orange) × p(lemon) = (7/20) × (3/20) = 21/400

You might be interested in
The parallel dotplots below display the girths (belly
liraira [26]

Answer:

The standard deviation for the distribution of girths is

about the same for both male and female pigs.

Step-by-step explanation:

Step 1

We will interprete the dotplots

For the Male pigs

24, 26, 26, 26, 26, 26, 26, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 30, 30, 30, 30, 30, 30, 32

Range

Maximum value - Minimum value

= 32 - 24

= 8

IQR = Interquartile range = Q3 - Q1

Q1 formula = 1/4(n + 1)th

=n = 25

= 1/4(25 + 1)

= 1/4(26)

= 26/4

= 6.5

This mean the value is between the 6th and 7th value

6th value = 26

7th value = 26

Q1 = 26 + 26/2

Q1 = 26

Q3

Q3 formula = 3/4(n + 1)th

=n = 25

= 3/4(25 + 1)

= 3/4(26)

= 78/4

= 19.5

This mean the value is between the 19th and 20th value

19th value = 30

20th value = 30

Q3= 30+ 30/2

= 30

IQR = 30 - 26

= 4

Standard deviation

Mean

First we find the mean

= 24+ 26+26+ 26+ 26+ 26+26+28+ 28+ 28+ 28+28+ 28+ 28+28+ 28+28+28+30+ 30+30+ 30+30+30+32/28

= 700/25

= 28

Standard deviation Formula = √(x - mean)²/n - 1

= √[(24-28)² + (26- 28)² + (26 -28)² + (26 - 28)² +................ (32 - 28)²]/25 - 1

= √(16 + 4 + 4+ 4+ 4+4+ 4+0+ 0+ 0+ 0+0+ 0+ 0+ 0+0+0+0+ 4+ 4+4+4+4+ 4+ 16)/25 - 1

= √80/25 - 1

=√3.333333333

1.825741858

Female Pigs

21, 23, 23, 23,23,23,23,25, 25, 25, 25, 25, 25, 25, 25, 25, 25,25, 27, 27, 27, 27,27, 27, 29

Range:

Maximum value - Minimum value

= 29 - 21

8

IQR

IQR = Interquartile range = Q3 - Q1

Q1 formula = 1/4(n + 1)th

=n = 25

= 1/4(25 + 1)

= 1/4(26)

= 26/4

= 6.5

This mean the value is between the 6th and 7th value

6th value = 23

7th value = 23

Q1 = 23 + 23/2

Q1 = 23

Q3

Q3 formula = 3/4(n + 1)th

=n = 25

= 3/4(25 + 1)

= 3/4(26)

= 78/4

= 19.5

This mean the value is between the 19th and 20th value

19th value = 27

20th value = 27

Q3= 27+ 27/2

Q3 = 27

IQR = 27 - 23

= 4

First we find the Mean

=(21+23+23+23+23+23+23+25+ 25+ 25+ 25+25+ 25+ 25+ 25+25+25+25+27+27+ 27+27+27+ 27+29)/25

= 625/25

= 25

Standard deviation Formula = √(x - mean)²/n - 1

= √[(21-25)² + (23- 25)² + (23 -25)² + (23 - 25)² +................ (29 - 25)²]/25 - 1

= √(16 + 4 + 4+ 4+ 4+4+ 4+0+ 0+ 0+ 0+0+ 0+ 0+ 0+0+0+0+ 4+ 4+4+4+4+ 4+ 16)/25 - 1

= √80/25 - 1

=√3.333333333

1.825741858

Looking at the calculation above and comparing both the girths from the male and female

We can conclude that: The standard deviation for the distribution of girths is

about the same for both male and female pigs which is 1.825741858

5 0
2 years ago
A multiple choice question has 18 possible​ answers, only one of which is correct. Is it​ "significant" to answer a question cor
yan [13]

Answer:

It is not ''significant''

Step-by-step explanation:

Let's call the event

A : ''Answer a question correctly if a random guess is made''

Now we calculate the probability for the event A

P(A)=\frac{cases where A occurs}{total cases}

In the exercise A occurs in only one way and the total cases are the number of possible answers

Total cases = 18

P(A)=\frac{1}{18} =0.0555555

An event B is ''significant'' if P(B)\leq 0.05

P(A)=0.0555555

⇒A it is not a ''significant'' event

8 0
2 years ago
Isabella filled her pool with water at a constant rate.
Anon25 [30]

Answer:

The size of Isabella's pool is 220 liters.

Step-by-step explanation:

Let the size of Isabella's pool be x liters, R be the rate of fill, t be the time of fill and V be the volume of water filled in the pool.

As the rate of fill is constant,

Therefore, volume of water filled in the pool can be given as,

V= Rt

Volume of water left is given as x-V=x-Rt

From the table,

Volume of water left after t=2 minutes is 184 liters.

So, x-R(2)=184\\x-2R=184 -------- 1

Volume of water left after t=12 minutes is 4 liters.

So, x-R(12)=4\\x-12R=4 ------------2

Multiply equation 1 by 6 and equation 2 by -1, we get

6x-12R=1104\\-x+12R=-4

Now, we add the above equations, we get

(6x-x)+(12R-12R)=1104-4\\5x=1100\\x=\frac{1100}{5}=220

Therefore, the size of Isabella's pool is 220 liters.

6 0
2 years ago
Which inequality represents the sentence below? Four and nine tenths less than the product of a number and six is no more than e
RUDIKE [14]

Answer:

The answer is C

Step-by-step explanation: Hope this helps!

7 0
2 years ago
Read 2 more answers
Which is the graph of linear inequality x – 2y ≥ –12?
Softa [21]

Answer: On a coordinate plane, a solid straight line with positive slope goes through (negative 8, 2) and (0, 6). Everything to the right of the line is shaded.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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