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Dvinal [7]
1 year ago
13

If P is between L and A, PL = 6x + 24, PA = 12x - 6 and LA = 30x - 18, then x = ______ and LA = ___&&

Mathematics
1 answer:
levacccp [35]1 year ago
7 0

To solve this problem, we have to use the definition of segment addition.

LA=PL+PA

Then, we replace the given expressions

30x-18=6x+24+12x-6

Now, we solve for <em>x</em>.

\begin{gathered} 30x-6x-12x=24-6+18 \\ 12x=36 \\ x=\frac{36}{12} \\ x=3 \end{gathered}<h2>Hence, x = 3.</h2>

Let's find LA:

30x-18=30\cdot3-18=90-18=72<h2>Hence, LA measures 72 units.</h2>
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Can anyone help me out ?
KengaRu [80]

She made her first mistake in step 2

-2x+5 =-11

add 5 to each side

-2x-5+5 = -11+5

-2x = -6     (not -16)

divide by -2

-2x/-2 = -6/-2

x = 3

She added 5 to 11 and got 16 and made it negative instead of subtracting 5 from 11 and making it negative

6 0
3 years ago
Read 2 more answers
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p
sweet-ann [11.9K]

The value of the probability P(x > 2) is 0.8369

<h3>How to evaluate the probability?</h3>

The given parameters are:

n = 5

p =0.7

The probability is calculated as:

P(x) = ^nC_x *p^x * (1 - p)^x

Using the complement rule, we have:

P(x > 2) = 1 - P(0) - P(1) - P(2)

Where:

P(0) = ^5C_0 *0.7^0 * (1 - 0.7)^5

P(0) = 1 *1 * (1 - 0.7)^5 = 0.00243

P(1) = ^5C_1 *0.7^1 * (1 - 0.7)^4

P(1) = 5 *0.7^1 * (1 - 0.7)^4 = 0.02835

P(2) = ^5C_2 *0.7^2 * (1 - 0.7)^3

P(2) = 10 *0.7^2 * (1 - 0.7)^3 = 0.1323

Recall that:

P(x > 2) = 1 - P(0) - P(1) - P(2)

So, we have:

P(x > 2) = 1 - 0.00243 - 0.02835 - 0.1323

Evaluate

P(x > 2) = 0.83692

Approximate

P(x > 2) = 0.8369

Hence, the value of the probability P(x > 2) is 0.8369

Read more about probability at:

brainly.com/question/25870256

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8 0
2 years ago
My equation is - 3 = X + 8
My name is Ann [436]

Answer:

X=-11

Step-by-step explanation:

Isolate the varible. Substract 8 on both sides to get X equals -11

7 0
3 years ago
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Multiply (2x - 3) and (3x + 6)
damaskus [11]

Answer:

Step-by-step explanation:

(2x−3)(3x+6)

=(2x+−3)(3x+6)

=(2x)(3x)+(2x)(6)+(−3)(3x)+(−3)(6)

=6x2+12x−9x−18

=6x2+3x−18

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3 years ago
4) If 1 inch represents 10 miles on a map, then how many inches will<br> represent 120 miles?
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Answer:

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Cross multiply:

12 = x

8 0
3 years ago
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