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kotegsom [21]
2 years ago
10

If a ⊥ b and b ∥ c, then _____

Mathematics
1 answer:
Tasya [4]2 years ago
3 0

Answer:  If a ⊥ b and b ║ c, then a ║c

Step-by-step explanation: I substituted a more legible symbol for parallel. I believe that is what the question means.

a will be perpendicular to any line that is parallel to b.

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X2 – 12x + 37 = 0 in simplest a + bi form
Andreas93 [3]

Answer:

x=6+1

Step-by-step explanation:

4 0
3 years ago
Find the 95% confidence interval for estimating the population mean μ
AVprozaik [17]

We first need to determine whether we are dealing with means or proportions in this problem. Since we are given the sample and population mean, we know that we are dealing with means.

Since we have one sample mean, this means we are creating a confidence interval for one sample (1 Samp T Int).

Normally we would check for conditions, but since this is not formulated as a "real-world scenario" type problem, it is hard to check for randomness and independence. Therefore, I will be excluding conditions from this answer.

<h3>Confidence Interval Formula</h3>

The formula for constructing a <u>confidence interval for means</u> is as follows:

  • \displaystyle \overline{x} \pm t^*\big{(}\frac{\sigma}{\sqrt{n} } \big{)}

We are given these variables:

  • \overline{x}=50
  • n=60
  • \sigma=10

Plug these values into the formula for the confidence interval:

  • \displaystyle 50\pm t^* \big{(}\frac{10}{\sqrt{60} } \big{)}

<h3>Finding the Critical Value (t*)</h3>

In order to find t*, we can use this formula:

  • \displaystyle \frac{1-C}{2}=A

Calculating the z-score associated with "A" will give us t*.

So, let's plug in the confidence interval 95% (.95) into the formula:

  • \displaystyle \frac{1-.95}{2}=.025

Use your calculator or a t-table to find the z-score associated with this area under the curve.. you should get:

  • t^*=1.96

<h3>Constructing Confidence Interval</h3>

Now, let's finish the confidence interval we created:

  • \displaystyle 50\pm 1.96 \big{(}\frac{10}{\sqrt{60} } \big{)}

We can calculate the confidence interval, using this formula, to be:

  • \boxed{(47.4697, \ 52.5303)}

<h3>Interpreting the Confidence Interval</h3>

We are 95% confident that the true population mean μ lies between <u>47.4697 and 52.5303</u>.

8 0
1 year ago
Pls help! Include the unit.
Bezzdna [24]
She swim 0.85 kilometers
4 0
3 years ago
What is the measure of the base in the triangle below?
lesantik [10]

Step-by-step explanation:

AC+CB+BA=180

2x+23+3x-8+4x+1=180

9x+16=180

9x=180-16

9x=164

x=164/9

x=18.2

5 0
1 year ago
8k = 0<br> A.)8<br> B.)16<br> C.)0<br> D.)4
Sergio039 [100]

Answer:

C

Step-by-step explanation:

Anything divided by 0 is equal to 0.

7 0
2 years ago
Read 2 more answers
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