Answer:
<h2>D. addition property of inequality</h2>
Step-by-step explanation:
Given the step 3 and 4 of the solution Step 3: -6x − 8 < -2 Step 4: -6x < 6
From step 3;
-6x − 8 < -2
Michael got the step 4 by adding 8 to both sides of the inequality as shown;
-6x − 8 + 8 < -2 + 8
-6x < 6 (Step 4)
Since Michael added 8 to both sides of the inequality, <em>the property that justifies the transition from step 3 to step 4 is the </em><u><em>addition property of inequality</em></u><em>. Addition property is the property that adds an integer to both sides of an inequality without altering the inequality sign and also retaining the inequality equation.</em>
All primes are odd, except two. Therefore the sum of the first million primes is one even number plus 999999 odd numbers. Since odd*odd = odd, the first million primes must be even + odd = odd.
An odd number obviously has an odd final digit, so the only option that can be firmly rules out is b (which is even).
Answer:
a) 0.997 is the probability that the breaking strength is at least 772 newtons.
b) 0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 800 newtons
Standard Deviation, σ = 10 newtons
We are given that the distribution of breaking strength is a bell shaped distribution that is a normal distribution.
Formula:
a) P( breaking strength of at least 772 newtons)
Calculation the value from standard normal z table, we have,
0.997 is the probability that the breaking strength is at least 772 newtons.
b) P( breaking strength of at least 772 but not more than 820)
0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820.
Answer:
See below in exact form
or
2.42, -12.42 to the nearest hundredth.
Step-by-step explanation:
x^2 + 10x - 13 = 17
(x + 5)^2 - 25 - 13 = 17
(x + 5)^2 = 17 + 38 = 55
x + 5 = +/- √55
x = -5 + √55, -5 - √55.
Answer:
This question i think google could help you if not more then brainy if u dont get a answer fast enough
Step-by-step explanation:
hope i helped u a little bit i know i didn't have a answer.
