Answer:
the answer is 2 4/5
Step-by-step explanation:
there are two wholes plus 4 out of 5 pieces, so it is 2 and 4/5.
we know that
m∠SQR+x=
-------> by supplementary angles
so
m∠SQR=
The sum of the internal angles of a triangle is equal to
degrees
m∠SQR+m∠QSR+m∠SRQ=
substitute the values in the formula
m∠SQR+
+
=
m∠SQR=
degrees
<u>Find the value of x</u>
m∠SQR=
x=
-m∠SQR
x=
x=
degrees
therefore
<u>the answer is</u>
the value of x is
degrees
Answer:
5.625 or 5-5/8 or 45/8
Step-by-step explanation:
Solve using Similar triangles again
ratio of 4:7.5
3/x=4/7.5 cross multiply
22.5=4x
x=22.5/4=5.625=5-5/8=45/8
Answer:
14.0% increase
Step-by-step explanation:
One formula you can use for this is ...
percent change = ((new value)/(old value) -1) × 100%
= (65/57 -1) × 100%
≈ 0.1403 × 100%
≈ 14.0% . . . . . . the positive sign indicates an increase
Answer:
38.59% probability that inflation rate will be below 1.9% in 2019
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

If the annual inflation rate is normally distributed, what is the probability that inflation rate will be below 1.9% in 2019?
This is the pvalue of Z when X = 1.9. So



has a pvalue of 0.3859
38.59% probability that inflation rate will be below 1.9% in 2019