Answer:
<h2>C.</h2>
Step-by-step explanation:
ABC is congruent to GEF. The transformation made was reflecting over the origin.
<h2>I'm always happy to help :)</h2>
Step-by-step explanation:
f(x) = -4x^2+24x-29
= -4(x^2-6x)-29
= -4(x-3)^2 -4(-9) -29
= -4(x-3)^2 +36-29
= -4(x-3)^2 +7
maximum height = 7m
The first 4 on the left has a value of 400. The next 4 has a value of 40. The first 4 is in the hundreds place and the second 4 is in the 10's place.
Answer:
The condition are
The Null hypothesis is 
The Alternative hypothesis is
The check revealed that
There is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is n = 20
The sample mean is 
The standard deviation is 
The Null hypothesis is 
The Alternative hypothesis is
So i will be making use of
level of significance to test this claim
The critical value of
from the normal distribution table is 
Generally the test statistics is mathematically evaluated as

substituting values


Looking at the value of t and
we see that
so we fail to reject the null hypothesis
This implies that there is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.
The quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69
<h3>What are quotients?</h3>
Quotients are result derived from the ratio of two rational or integers. Given the expression
21.49 ÷ 3.76
Convert to fraction
21.49 ÷ 3.76 = 2140/100 ÷ 376/100
21.49 ÷ 3.76 = 2140/376
21.49 ÷ 3.76 = 5.69
Hence the quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69
Learn more on quotient here: brainly.com/question/673545
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