What is equal to 7 times 13

A number picked at random from the numbers 1 through 15 is prime. This "question" is on my study guide for Unit 6 Probability an

Sphinxa [80]

Solution:

we are given that

A number picked at random from the numbers 1 through 15 is prime.

As we know the number between 1 and 15 which are primes are listed below

2,3,5,7,11,13.

Here total number of favourable outcomes are 6.

The numbers 1 through 15 are as below:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15.

Here total number of possible outcoes are 15.

Hence the probability that if a number picked at random from the numbers 1 through 15 is prime $=\frac{6}{15}=\frac{2}{5}=0.40$

Hence the probability that if a number picked at random from the numbers 1 through 15 is prime is 0.4

6 0

4 years ago

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Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.

Setler79 [48]

Answer:

Therefore values of a and b are

$a=3\ and\ b = 2$

Step-by-step explanation:

Rewrite $x^{2}-6x+7=0$ in the form

$(x-a)^{2}=b$

where a and b are integers,

To Find:

a = ?

b = ?

Solution:

$x^{2}-6x+7=0$ ..............Given

Which can be written as

$x^{2}-6x=-7$

$(\frac{1}{2} coefficient\ of\ x)^{2}=(\frac{1}{2}\times -6)^{2}=9$

Adding half coefficient of X square on both the side we get

$x^{2}-6x+9=-7+9=2$ ...................( 1 )

By identity we have (A - B)² =A² - 2AB + B²

Therefore,

$x^{2}-6x+9=x^{2}-2\times 3\times x+3^{2}=(x-3)^{2}$

Substituting in equation 1 we get

$(x-3)^{2}=2$

Which is in the form of

$(x-a)^{2}=b$

On comparing we get

a = 3 and b = 2

Therefore values of a and b are

$a=3\ and\ b = 2$

4 0

3 years ago

Kite ABCD is rotated 180 degrees clockwise about the origin and then reflected over the y-axis, followed by a reflection over th

sleet_krkn [62]

Answer:

Step-by-step explanation:

Answer:

(-5, 1)

Explanation:

We are given a kite on the graph which is rotated 180° clockwise about the origin and then reflected over the Y axis followed by reflection over the X axis.

We are to find the coordinates of point A after the complete transformation.

A (-5, 1)

When a point is rotated 180° clockwise about the origin, the signs of its coordinates change.

A (-5, 1) ---> A' (5, -1) - after clockwise rotation of 180 degrees about origin

Then this point A' is reflected over the Y axis where the y coordinate remains the same but x coordinate changes its sign.

A' (5, -1) ---> A'' (-5, -1) - after reflection through y axis

Now this point A'' is reflected over the X axis where the x coordinate remains the same while y coordinates changes its sign.

A'' (-5, -1) ---> A''' (-5, 1) - after complete transformation

7 0

4 years ago

What is the square foot of 2

yKpoI14uk [10]

144 square inches because it's 12 by 12 by 12

3 0

3 years ago

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Can someone help me with this

loris [4]

Hello! Please mark Brainliest for the explanation!

Answer:

Area: 10 inches

Step-by-step explanation:

As the paper itself states, the area of a triangle would be

1/2bh

Simply plug the given values in!

1/2(5)(4) =

1/2(20)=

10

Have a wonderful day!

7 0

3 years ago

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