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3 years ago

Which of the following is the solution to the inequality -2x-4 ≤ 11

Mathematics

2 answers:

nikklg [1K]3 years ago

5 0

Isolate the variable by dividing each side by factors that don't contain the variable.

<u>Inequality</u> Form:

x ≥ −15/2

<u>Interval</u> Notation:

[−15/2, ∞)

Art [367]3 years ago

4 0

Answer:

$x\geq -\frac{15}{2}$

Step-by-step explanation:

add 4 on both sides

leaves you with 15 on the right side

you then divide by negative 2

since you divide by a negative you have to switch the sign

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The sum of x and 3 is divided by 2

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The mathematical expression in this case is
(x+3)/2

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3 years ago

Help me with this math problem please, only this part because I can't seem to solve the last one, I'd like an explanation but it

jonny [76]

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3 years ago

How To work this out ?

MrMuchimi

(a) Using the completing the square method, we need to write into the form of where , so
Expand to find the value of c
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3 years ago

The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016

hodyreva [135]

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( $\mu=4016 , \sigma^{2} = 532^{2}$ )

The standard normal z distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

Now, probability that the weight will be less than 5026 grams = P(X < 5026)

P(X < 5026) = P( $\frac{X-\mu}{\sigma}$ < $\frac{5026-4016}{532}$ ) = P(Z < 1.89) = 0.97062

Therefore, the probability that the weight will be less than 5026 grams is 0.97062 .

5 0

3 years ago

In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz

KIM [24]

Answer:

Step-by-step explanation:

First, find the coordinates of pointD if A(2,-6), B(10,2) and point D divides line segment AB in the ratio of 5:3.

If point D divides the segment AB in the ratio m:n, then

$D\left(\dfrac{nx_A+mx_B}{m+n},\dfrac{ny_A+my_B}{m+n}\right)$

$D\left(\dfrac{3\cdot 2+5\cdot 10}{5+3},\dfrac{3\cdot (-6)+5\cdot 2B}{5+3}\right)=D(7,-1)$

Point C has the x-coordinate the same as point A and the y-coordinate the same as point D.

Thus, C(2,-1)

5 0

3 years ago

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