Answer:
Hong = 25
Pablo = 100
Lashonda = 18
Step-by-step explanation:
Let Hong's order be x , since Pablo served 4 times as many as Hong , then Pablo's order is 4x , also , since Lashonda served 7 fewer than Hong , it means Lashonda's order is x - 7 . combining all
Hong's orders = x
Pablo's order = 4x
Lashonda's order = x - 7
Total order = 143
Then
x + 4x + x - 7 = 143
6x - 7 = 143
6x = 143 + 7
6x = 150
x = 25
Therefore :
Hong served 25 orders
Pablo served 24x 4 orders = 100 orders
Lashonda served 25 - 7 orders = 18 orders
Answer:
you<u> accept </u>the alternative hypothesis
Step-by-step explanation:
The null and alternative hypothesis can be computed as follows:

The sample proportion 


The test statistics can be computed as:


Z = -2.5
The P-value = 2( Z< -2.5)
From the tables;
The P-value = 2 (0.0062)
The P-value = 0.0124
The significance level = 0.01
Since the P-value is > significance level; we fail to reject the null hypothesis.
Conclusion: we accept the alternative hypothesis
Answer:
0.5x−7.8
Step-by-step explanation:
Let's simplify step-by-step.
0.5x−4−(1.5+2.3)
Distribute the Negative Sign:
=0.5x−4+−1(1.5+2.3)
=0.5x+−4+(−1)(1.5)+(−1)(2.3)
=0.5x+−4+−1.5+−2.3
Combine Like Terms:
=0.5x+−4+−1.5+−2.3
=(0.5x)+(−4+−1.5+−2.3)
=0.5x+−7.8
Answer:
EF = 6.6
Step-by-step explanation:
Since ABCD is similar to EFGH, then EH is similar to AD. So, we can solve by first dividing 12 by 2 (EH by AD). The quotient of this is 6. This tells us that quadrilateral EFGH is 6 times larger than quadrilateral ABCD, since they are similar. So, with this and the measurement of AB (which is similar to EF), we can now solve for EF. We simply multiply 1.1 (the measurement of AB) by 6 (how many times larger EFGH is compared to ABCD). The product of this is 6.6, our final answer.