You just have to simplify:
-2n+6
The answer is 5.5
In a rectangle, lengths of diagonals are equal. If you draw the rectangle, you can see that KM and LN are diagonals, so they must be equal:
KM = LN
KM = 6x + 16
LN = 49
6x + 16 = 49
6x = 49 - 16
6x = 33
x = 33/6
x = 5.5
Answer:
Required Probability = 0.97062
Step-by-step explanation:
We are given that the weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016 grams and a standard deviation of 532 grams.
Let X = weight of the newborn baby, so X ~ N(
)
The standard normal z distribution is given by;
Z =
~ N(0,1)
Now, probability that the weight will be less than 5026 grams = P(X < 5026)
P(X < 5026) = P(
<
) = P(Z < 1.89) = 0.97062
Therefore, the probability that the weight will be less than 5026 grams is 0.97062 .
Answer:
- Solution of equation ( x ) = <u>7</u>
Step-by-step explanation:
In this question we have given with an equation that is <u>4</u><u> </u><u>(</u><u> </u><u>5</u><u>x</u><u> </u><u>-</u><u> </u><u>2</u><u> </u><u>)</u><u> </u><u>=</u><u> </u><u>2</u><u> </u><u>(</u><u> </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>3 </u><u>)</u><u>.</u> And we are asked to solve this equation that means we have to find the value of <u>x</u><u>.</u><u> </u>
<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>
<u>
</u>
<u>Step </u><u>1</u><u> </u><u>:</u> Removing parenthesis :

<u>Step </u><u>2</u><u> </u><u>:</u> Adding 8 from both sides :

On further calculations we get :

<u>Step </u><u>3 </u><u>:</u> Subtracting 18 from both sides :

On further calculations we get :

<u>Step </u><u>4</u><u> </u><u>:</u> Dividing with 2 on both sides :

On further calculations we get :

- <u>Therefore</u><u>,</u><u> </u><u>solution</u><u> </u><u>of </u><u>this </u><u>equation</u><u> </u><u>is </u><u>7</u><u> </u><u>or </u><u>we </u><u>can </u><u>say </u><u>that </u><u>value </u><u>of </u><u>this </u><u>equation</u><u> </u><u>is </u><u>7</u><u> </u><u>.</u>
<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>
We are verifying our answer by substituting value of x in given equation. So ,
- 4 ( 5x - 2 ) = 2 ( 9x + 3 )
- 4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]
- 4 ( 35 - 2 ) = 2 ( 63 + 3 )
<u>Therefore</u><u>,</u><u> </u><u>our </u><u>value</u><u> for</u><u> x</u><u> is</u><u> </u><u>correct </u><u>.</u>
<h2>
<u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>