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2 years ago

1. Given G(n) = 4n-5 H(n) = 2n + 1 Find G(H(8))

Mathematics

1 answer:

Travka [436]2 years ago

6 0

Answer:

first H(8)= 2×8+1=16+1=17

and G(17)= 4×17-5=68-5=63

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In the diagram below of parallelogram ABCD with diagonals AC and BD, m∠1=45° and m∠DCB=120°.Whatisthemeasureof∠2?

bixtya [17]

Answer:

15degrees

Step-by-step explanation:

From the given diagram

<1+<2 + <DCB = 180

<1+<2+120 = 180

<1+<2 = 180 - 120

<1+<2 = 60

<2 = 60 - <1

<2 = 60 - 45

<2 = 15degrees

Hence the measure <2 is 15degree

5 0

2 years ago

Fifteen us added to product of a number and 6. the result is 9

solong [7]

Answer:

Let y be our number:

6y+15=9

Step-by-step explanation:

Since it is the product, you have to multiply:

Next, you will have to add 15, +15

6y+15

This expression will equal to 9

6y+15=9

Hope This Was Helpful!

8 0

3 years ago

If ac =x+3 and db=3x-19, find ac

AveGali [126]

We need some sort of diagram to see what they are. Is there any way to say that ac = db? Either equal angles or equal lines.
x + 3 = 3x - 19 Add 19
x + 3 + 19 = 3x Subtract x
21 = 2x
x = 21 / 2
x = 10.5

ac = 10.5 + 3
x = 13.5

7 0

3 years ago

Calculate the expected value E(X) of the given random variable X. X is the higher number when two dice are rolled, or the common

Sati [7]

Answer:

4.4722

Step-by-step explanation:

The following table shows the 36 elements of the sample space of the experiment

$\left[\begin{array}{cccccccc}&1&2&3&4&5&6\\--&--&--&--&--&--&--\\1\;|&1&2&3&4&5&6\\2\;|&2&2&3&4&5&6\\3\;|&3&3&3&4&5&6\\4\;|&4&4&4&4&5&6\\5\;|&5&5&5&5&5&6\\6\;|&6&6&6&6&6&6\end{array}\right]$

From this table we can compute the probabilities :

P(X = 1) = 1/36

P(X = 2) = 3/36

P(X = 3) = 5/36

P(X = 4) = 7/36

P(X = 5) = 9/36

P(X = 6) = 11/36

So the expected value equals

1P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)+5P(X=5)+6P(X=6) =

= 1/36 + 6/36 + 15/36 + 28/36 + 45/36 + 66/36 = 161/36 =

4.4722

7 0

3 years ago

A cookie recipe calls for 1/3 of a cup of sugar and 1 1/2 cups of flour. What is the unit rate of flour to sugar for the cookie

Serggg [28]

Answer:

Rate = 4.5

Step-by-step explanation:

It is given that,

A cookie recipe calls for 1/3 of a cup of sugar and 1 1/2 cups of flour.

We need to find the unit rate of flour to sugar for the cookie recipe. It can be calculated as follows :

$U=\dfrac{\text{No of cups of flour}}{\text{No of cups of sugar}}\\\\=\dfrac{1\dfrac{1}{2}}{\dfrac{1}{3}}\\\\=\dfrac{\dfrac{3}{2}}{\dfrac{1}{3}}\\\\=\dfrac{3}{2}\times 3\\\\=4.5$

So, the unit rate of flour to sugar for the cookie recipe is 4.5

6 0

3 years ago