Answer:
Step-by-step explanation:
<u>Solve each inequality and find the common set:</u>
- 2x - 5 > - 11 ⇒ 2x > 5 - 11 ⇒ 2x > - 6 ⇒ x > - 3
- -10x - 6 ≥ 44 ⇒ - 10x ≥ 6 + 44 ⇒ - 10x ≥ 50 ⇒ x ≤ - 5
<u>Solution interval:</u>
There is no solution to system to show on the number line
It's value is 20 :) in the tenths place
you can also use a place value chart :)
Step-by-step answer:
Given:
mean, mu = 200 m
standard deviation, sigma = 30 m
sample size, N = 5
Maximum deviation for no damage, D = 100 m
Solution:
Z-score for maximum deviation
= (D-mu)/sigma
= (100-200)/30
= -10/3
From normal distribution tables, the probability of right tail with
Z= - 10/3
is 0.9995709, which represents the probability that the parachute will open at 100m or more.
Thus, by the multiplication rule, the probability that all five parachutes will ALL open at 100m or more is the product of the individual probabilities, i.e.
P(all five safe) = 0.9995709^5 = 0.9978565
So there is an approximately 1-0.9978565 = 0.214% probability that at least one of the five parachutes will open below 100m
Answer:
199.797
Step-by-step explanation:
5.45 x 9.4 x 3.9
Answer:
The value of x is 104
Step-by-step explanation:
we are given 52 we know that 52 is within an isosceles triangle.
which means 2 sides are the same which tells us that the two angles touching the unique side will have the same measure
we also know that a triangle adds up to 180 so 52 + 52 gives us 104 meaning the last angle will be 180 - 104 which is 76
now we have completed the first triangle if
if we look at corner c we know that it's a right angle
we know that right angles are a total of 90 degrees we know that the right angle is split into two complementary angles one of them is 52 which we figured from the first part so
90 - 52 would give us 38 now we know that in triangle CDE one of the measures is 38 at the c corner and another is 90 at the E corner
once again we do 90 + 38 = 128 and subtract that from 180 giving us 52.
Now we know the measures of triangle ADC and CDE
We also know that triangle EDB is a congruent mirror reflection of CDE
So by now we have the measures of 3 triangles CDE ADC AND EDB
we also know that angle F/x is equvilant to the total of both of angle D
so we just add 52 + 52 giving us the measure of the whole angle d combined which we know is eqivilant to angle f
So after all that we know that the value of x is 104 degrees.
Hope this helps its a long explanation but please take ur time to understand and read through it :)
