Answer:
Part A) x=9 and m∠FGH=29°
Part B) m∠HGI=29°
Part C) m∠FGI=58°
Step-by-step explanation:
Part A) Solve for x and find m∠FGH
we know that
m∠FGI=m∠FGH+m∠HGI
If GH bisects FGI
then
m∠FGH=m∠HGI
substitute the values
4x-7=5x-16
solve for x
5x-4x=16-7
x=9
m∠FGH=4x-7
m∠FGH=4(9)-7=29°
Part B) Find the measure of angle HGI
m∠HGI=5x-16
Remember that
m∠FGH=m∠HGI
Verify
m∠HGI=5(9)-16=29° -----> is correct
Part C) Find the measure of angle FGI
m∠FGI=m∠FGH+m∠HGI
substitute the values
m∠FGI=29°+29°=58°
Answer:
45000 five digit odd numbers are possible if the leftmost digit cannot be zero.
Step-by-step explanation:
Pls mark the brainliest
Answer:
She should offer a guarantee of 6.24 years.
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 she is willing to replace 3% of the motors that fail, how long a guarantee (in years) should she offer?
This is the value of X when Z has a pvalue of 0.03. So it is X when Z = -1.88. So




She should offer a guarantee of 6.24 years.
a=6, b=2
Step-by-step explanation:
Use simplification into substitution



We can now plug this value of <em>a</em> into the second equation.

Get rid of fractions in the numerators and/or denominators

Then we can match the denominators

Combine

Divide both sides by three

Get rid of fractions

Single out <em>b</em>


Now we can plug it into the equation



Now we can check it;

↑CORRECT

↑CORRECT