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3 years ago

Find the length of XY. Imported Asset 4 8 16 11.3

Mathematics

1 answer:

kompoz [17]3 years ago

7 0

Answer: 8 (The second option).

Step-by-step explanation:

1. To solve this exercise you draw a line to a point O, this lines will bisect the angle of Z∠60°. Then will obtain two into two right triangles with two angles of 30° at the point Z.

2. The lenght XY will be twice the lengt XO or YO.

3. Let's calclate XO as following:

$sin(30)=\frac{XO}{8}\\XO=4$

4. Then, XY is:

$XY=2XO\\XY=2*4\\XY=8$

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How do you solve 7n-2=6n-2n

pantera1 [17]

First combine like terms:
6n-2n = 4n
7n-2=4n
subtract 7n from both sides
7n-2=4n
-7n -7n
-2=-3n
divide -2 on both sides.
n=1.5

7 0

3 years ago

Sarah is going to the store to buy bread for a picnic. She needs twice as many slices of bread than cheese slices. She has 24 ch

Anastaziya [24]

Answer:

4 bags of bread

Step-by-step explanation:

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3 years ago

Find the obtuse angle the line y-2x=7 makes with the x- axis

Kazeer [188]

In analytical geometry, there are already derived equations to find the distance of lines and points as well as the angle made between two lines. As special case is when the other line is one of the coordinate axis. Then, the formula can be simplified to

tan θ =m, where m is the slope of the equation

In the next step, we also incorporate operations of calculus. Since the slope is equal to Δy/Δx, this is equivalent to dy/dx in calculus. Therefore, you can find the slope by differentiating the equation in terms of x.

<span>y-2x=7
y = 2x+7
dy/dx = 2 =m

So,

tan </span>θ = 2
θ = tan⁻¹(2)
θ = 63.43°

5 0

3 years ago

If m<1=6x+50 and m<2=4x+40 find x

Pepsi [2]

$\text{Adjacent angles on a straight line sum up to 180} \textdegree$

$\text{Therefore }\measuredangle 1 + \measuredangle 2 = 180 \textdegree$

$\text {Since } \measuredangle 1 = 6x+50 \text { and } \measuredangle 2 = x+40$

$(6x+50) + (4x+40) = 180$

$6x+50 + 4x+40 = 180$

$10x+90 = 180$

$10x = 180 - 90$

$10x = 90$

$x = 9$

Answer: x = 9

8 0

3 years ago

If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Alex17521 [72]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$