Answer:
I believe this would be B
Step-by-step explanation:
The way I do improper fractions is called the 'boot'
It is where you take the whole number and the denominator and circle both of them so it kind of looks like a boot and you multiply those together.
So 5 * 8= 40 then you add your numerator to that which gets you 45, and you keep the denominator the same
So you end up with 45/8
Sorry if its a little confusing
Hope this helps :)
Triangle ABD and triangle CDB are similar because:
-it is given that angle A and angle C are equal, both 90
-angle ABD and angle CDB are equal because they are alternate interior angles
- side DB and side DB are the same length
- two triangles are equal because of AAS
Answer:
a. t*
b. (22.87, 24.53)
c. yes
Step-by-step explanation:
We have the following data:
mean = m = 23.7
standard deviation = sd = 2.15
x = 20
Thus:
a. The critical value would be t * since the value is m <30
b. whenever the mean is less than 30, the t distribution is used, for 95% confidence interval with degree of freedom = (x - 1) df
= 20 - 1
= 19
now, for this value we look in the table of t, we find that t * = 1.729
m + - t * (sd / x ^ 81/2))
replacing
23.7 + - 1.729 * (2.15 / 20 ^ (1/2))
23.7 + - 0.8312
then the inverval would be:
23.7 + 0.8312 = 24.5312
23.7 - 0.8312 = 22.8688
(22.87, 24.53)
c. yes, the interval is accurate since the mean of 23.7 is within this value
Answer:
5
Step-by-step explanation:
To get the Greates Common Factor (GCF) of 225 and 415 we need to factor each value first and then we choose all the copies of factors and multiply them:
225: 3 3 5 5
415: 5 83
GCF: 5
The Greates Common Factor (GCF) is: 5
13(y+3)=13y+39
mutiply the bracket by 13
(13)(y)= 13y
(13)(3)= 39
13y+39= 13y+39
move 13y to the right side
sign changes from +13y to -13y
13y-13y+39= 13y-13y+39
0+39= 0+39
39= 39
Answer:
all real numbers