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3 years ago

Determine the two positive integers the the square root of 7 fall in between. (write the word "and" in between your answer

Mathematics

1 answer:

Anika [276]3 years ago

6 0

Answer:

2 and 3

Step-by-step explanation:

We want to find the two positive integers the the square root of 7 fall in between.

So, let's call the number that is squared to give 7 as "x".

Thus: x² = 7

Now,let's list positive integers from 1 to 10 and square them to find the one that will give a value around 7.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

Inspecting the results above, 7 falls in between 4 and 9. The respective integers that are squared to produce 4 and 9 are: 2 and 3

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Urgent. There are 12 coloured counters in a bag. The counters are black, white or grey A counter is chosen at random. The probab

Nastasia [14]

Answer:

1/12

Step-by-step explanation:

Needed information

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

The sum of the probabilities of all outcomes must equal 1

Solution

We are told that the probability that the counter is not black is 3/4.

As the sum of the probabilities of all outcomes must equal 1, we can work out the probability that the counter is black by subtracting 3/4 from 1:

$\sf P(counter\:not\:black)=\dfrac34$

$\implies \sf P(counter\:black)=1-\dfrac34=\dfrac14$

We are told that the probability that the counter is not white is 2/3.

As the sum of the probabilities of all outcomes must equal 1, we can work out the probability that the counter is white by subtracting 2/3 from 1:

$\sf P(counter\:not\:white)=\dfrac23$

$\implies \sf P(counter\:white)=1-\dfrac23=\dfrac13$

We are told that there are black, white and grey counters in the bag. We also know that the sum of the probabilities of all outcomes must equal 1. Therefore, we can work out the probability the counter is grey by subtracting the probability the counter is black and the probability the counter is white from 1:

$\begin{aligned}\sf P(counter\:grey) & = \sf1-P(counter\:black)-P(counter\:white)\\\\ & =\sf 1-\dfrac14-\dfrac13\\\\ & = \sf \dfrac{12}{12}-\dfrac{3}{12}-\dfrac{4}{12}\\\\ & = \sf \dfrac{12-3-4}{12}\\\\ & = \sf \dfrac{5}{12}\end{aligned}$

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2 years ago

(IN SPANISH) NEED AN AWNSER ASAP THANK YOU.

Daniel [21]

The answer is 51
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3 years ago

In attempting to solve the system of equations y = 3x - 2 and 6x - 2y = 4, John graphed the two equations on his graphing calcul

ExtremeBDS [4]

Answer:

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Step-by-step explanation:

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3 years ago

What is the slope of the line represented by y = 5x - 7?

Ghella [55]

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