Answer:
Step-by-step explanation:
Begin by dividing by 5
2x + 4 = 3
Is this written as 2^(x + 4) = 3? I think it is.
Take the log of both sides
log 2^(x + 4) = log(3)
(x + 4) * log(2) = log 3
log 2 = 0.30103
log 3 = 0.47712
(x + 4) = log2 / log3
x + 4 = 0.63093 Add 4 to both sides
x = -3.369 Rounded to the nearest thousandth
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If you mean the question exactly as it is written (the 4 is not part of the power)
5(2^x + 4) = 15
2^x + 4 = 3
2^x = 3 - 4
2^x = - 1
This can't be done 2 to any power should be >0.
if x>0 then this will give an ever increasing number
if xK0 then this will give an ever decreasing answer but still greater than 0.
No value will make 2^x go to something minus.
If I have misread this in some way, leave a note and I will get back to you.
Answer:
1, 2, 6
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:

Given that mean (μ) = 130 texts, standard deviation (σ) = 20 texts
1) For x < 90:

From the normal distribution table, P(x < 90) = P(z < -2) = 0.0228 = 2.28%
Option 1 is correct
2) For x > 130:

From the normal distribution table, P(x > 130) = P(z > 0) = 1 - P(z < 0) = 1 - 0.5 = 50%
Option 2 is correct
3) For x > 190:

From the normal distribution table, P(x > 3) = P(z > 3) = 1 - P(z < 3) = 1 - 0.9987 = 0.0013 = 0.13%
Option 3 is incorrect
4) For x < 130:

For x > 100:

From the normal table, P(100 < x < 130) = P(-1.5 < z < 0) = P(z < 0) - P(z < 1.5) = 0.5 - 0.0668 = 0.9332 = 93.32%
Option 4 is incorrect
5) For x = 130:

Option 5 is incorrect
6) For x = 130:

Since 1.5 is between 1 and 2, option 6 is correct
Answer:
$4.35
Step-by-step explanation:
because 15% of 29 is 4.35
Perimeter = 18 miles
Perimeter = 2a + 2b
2a + 2b = 18
a = ?
b = 7
18 = 2a + 2*7
18 = 2a + 14
2a = 18 - 14
2a = 4
a = 2
Area = a * b
Area = 2 * 7 = 14 miles2
Answer:
Measure of arc ZWX is <u>230°.</u>
Step-by-step explanation:
Given:
arc WX = 50°
Now
The diameter divide a circle into two equal parts
so

Since WZ is diameter of the circle.
substituting in above equation we get

Hence Measure of arc ZWX is <u>230°.</u>