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seraphim [82]
3 years ago
10

83 = y - 17 what the value of y

Mathematics
2 answers:
alexandr402 [8]3 years ago
4 0

your answer would be y= 100

Artemon [7]3 years ago
3 0

The answer is y = 100

To get this answer, you add 17 to both sides to undo the "minus 17" that is happening on the right side.

83 = y-17

83+17 = y-17+17 ... add 17 to both sides

100 = y

y = 100

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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
Martina begins a dive at sea level. She dives down 20 feet, and then rises 7 feet.
klasskru [66]

Answer:

martina is 22 feet below sea level

Step-by-step explanation:

Marina goes down 20 feet

then rises 7 feet which is 20 - 7 = 13

then goes down 9 more feet which is 13 + 9 = 22 feet

20 - 7 + 9 =22

Martina is 22 feet below sea level.

3 0
2 years ago
Find the simple interest for a $8,000 loan for 2 years at a rate of 4% (formula: l=prt)​
Natali [406]

Answer:

S.I= 640

Step-by-step explanation:

I=prt

where p= $8,000

and r= 4%

and t= 2 years

$8,000×4%×2

8,000×4/100×2

80×4×2

=640

Therefore The S.I = 640.

6 0
3 years ago
Can someone help me please. -4-(4+3i)
olga2289 [7]
Your answer would be -11.

5 0
3 years ago
What is the value of x?
gulaghasi [49]
I believe the answer is X=15
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