Answer:
A) m∠3 + m∠4 = 180
Step-by-step explanation:
Both angles make a straight line which has an angle of 180.
Answer:
a: 28 < µ < 34
Step-by-step explanation:
We need the mean, var, and standard deviation for the data set. See first attached photo for calculations for these...
We get a mean of 222/7 = 31.7143
and a sample standard deviation of: 4.3079
We can now construct our confidence interval. See the second attached photo for the construction steps.
They want a 90% confidence interval. Our sample size is 7, so since n < 30, we will use a t-score. Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)
The t-value is: 1.943
We rounded down to the nearest person in the interval because we don't want to over estimate. It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate. It's better to use 28 and underestimate a little when considering customer flow.
Answer:
18,480
Step-by-step explanation:
For this case we have the following product:

We must use the distributive property correctly to solve the problem.
We have then:

Then, we must add similar terms.
We have then:
Answer:
The final product is given by:
option 2
Answer:
1
Step-by-step explanation:
To get the GCF of 44 and 47, factor each value,then we choose copies of factors and multiply them.