Answer:
5x-5=3x +17 So were solving for x The answer would be =11
Step-by-step explanation:
Answer:
Step-by-step explanation:
13.
6 =x − 24
Collecting like terms
6 + 24 = x
x = 30
14.
10 +w/3 = 2
Multiply each term by 3
30 + w = 6
Collecting like terms
w = 6 - 30
w = -24
15.
13 = −11 − 4x
Collecting like terms
4x = -11 - 13
4x = -24
Dividing by 4
4x/4 = -24/4
x = -6
Answer:
CI = (0.674, 0.748)
Step-by-step explanation:
The confidence interval of a proportion is:
CI = p ± SE × CV,
where p is the proportion, SE is the standard error, and CV is the critical value (either a t-score or a z-score).
We already know the proportion:
p = 293/412
p = 0.711
But we need to find the standard error and the critical value.
The standard error is:
SE = √(p (1 − p) / n)
SE = √(0.711 × (1 − 0.711) / 412)
SE = 0.0223
To find the critical value, we must first find the alpha level and the degrees of freedom.
The alpha level for a 90% confidence interval is:
α = (1 − 0.90) / 2 = 0.05
The degrees of freedom is one less than the sample size:
df = 412 − 1 = 411
Since df > 30, we can approximate this with a normal distribution.
If we look up the alpha level in a z score table or with a calculator, we find the z-score is 1.645. That's our critical value. CV = 1.645.
Now we can find the confidence interval:
CI = 0.711 ± 0.0223 * 1.645
CI = 0.711 ± 0.0367
CI = (0.674, 0.748)
So we are 90% confident that the proportion of adults connected to the internet from home is between 0.674 and 0.748.
<h3><em>(HCF)=(36,60,84)</em></h3><h3><em>Factors of 36
</em></h3><h3><em>
</em></h3><h3><em>List of positive integer factors of 36 that divides 36 without a remainder.
</em></h3><h3><em>
</em></h3><h3><em>1,2,3,4,6,9,12,18,36</em></h3><h3>Factors of 60
</h3><h3>
</h3><h3>List of positive integer factors of 60 that divides 60 without a remainder.
</h3><h3>
</h3><h3>1,2,3,4,5,6,10,12,15,20,30,60</h3><h3>Factors of 84
</h3><h3>
</h3><h3>List of positive integer factors of 84 that divides 84 without a remainder.
</h3><h3>
</h3><h3>1,2,3,4,6,7,12,14,21,28,42,84</h3><h3 /><h3>We found the factors 36,60,84 . The biggest common factor number is the HCF number.
</h3><h3>So the highest common factor 36,60,84 is 12.</h3><h3><em>HOPE IT HELPS....</em></h3>
