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disa [49]
3 years ago
9

Find the value of y Log^2 32=y

Mathematics
1 answer:
elena-s [515]3 years ago
7 0

Answer:

Step-by-step explanation:

First of all, I have a strong feeling that that is supposed to be

log_2(32)=y so I'm going to go with that. We can solve for y by rewriting that in exponential form. Exponential form and log form are inverses of each other. If the log form of an equation is

log_b(x)=y, the exponential form of it is

b^y=x. We will apply that here to solve for y:

2^y=32

which is asking us, "2 to the power of what equals 32?". We can use our calculator to raise 2 to consecutive powers til we reach the one that gives us a 32, or we could solve it by writing the 32 in terms of a 2:

2^y=2^5

Since both bases are the same, 2, then the exponents are equal to one another. y = 5. This is an important rule to remember while solving either log or exponential equations.

You might be interested in
How are the following ratios equivalent? 4:5 and 8:10
kupik [55]

Answer:

2 = 1

Step-by-step explanation:

2 = 1

4 = 2

6 = 3

8 = 4

3 0
3 years ago
X is normally distributed with a mean of 100 and a standard deviation of 15. What is the probability of randomly sampling a scor
VikaD [51]

Answer:

Using calculator: 0.0415

Using Z-score Table: 0.0418

Step-by-step explanation:

There are two ways you can solve this problem.

1. Use the normal distribution function on a calculator.

Entered values:

Lower Limit: 126

Upper Limit: 999999999999999... (To encompass all the data)

Standard Deviation: 15

Mean: 100

2. Find the Z score and look up probabilities on table.

Formula for Z score:

Z=\frac{x-mean}{standard deviation} \\\\Z= \frac{126-100}{15}=1.7333...

Z = 1.7333

This means that the value 126 is 1.733 standard deviations away from the mean. We can look this value up on the Z table to find its corresponding probability.

This will show us the probability of the random sampling being equal to or lower than 126.

P = 0.9582

So to find the probability of it being above, we simply just calculate the inverse as all probabilities on the curve = 1.

1-0.9582 = 0.0418

NOTE: Values found from the table will usually be a bit different from if you find it from a calculator, the one you need will depend on the method you use in class.

Hope this helped!

6 0
2 years ago
Find the slope of the line through the points (4,2) and (6,2).
olganol [36]

Answer:

The slope is m=0

Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.

Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.If y-coordinates are equal and x-coordinates are not equal (as in our case), then the slope equals 00 (the line is horizontal).

6 0
2 years ago
The cost for Dana and Courtney's lunch is $24. If they want to leave a
sergij07 [2.7K]
<h3>Total cost of their lunch, including the tip is $ 27.6</h3>

<em><u>Solution:</u></em>

The cost for Dana and Courtney's lunch is $24

They want to leave a  15% tip

To find:  total cost of their lunch, including the tip

<em><u>Find the tip amount</u></em>

Tip amount = 15 % of 24

Tip\ amount = \frac{15}{100} \times 24\\\\Tip\ amount = 0.15 \times 24\\\\Tip\ amount = 3.6

<em><u>what is the total cost of their lunch, including the tip?</u></em>

Total cost = cost of lunch + tip amount

Total cost = 24 + 3.6

Total cost = 27.6

Thus total cost of their lunch, including the tip is $ 27.6

7 0
3 years ago
If the spinner is spun once, then P (landing on test postponed) is...
Scrat [10]

Answer:A

Step-by-step explanation:

5 0
2 years ago
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