Looks like the labeled angle is bisected, in which case we can apply the angle bisector theorem. For this triangle, it says
Solve for :
Then either or
, but since
is a length, it must be positive. So <em>x</em> = 2.
Explain in words how to find the product of -4 (-1.5) using a number line.where do you end up
2 answers:
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Complete Question
In a study of the accuracy of fast food drive-through orders, one restaurant had 32 orders that were not accurate among 367 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable?
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to show that the rate of inaccurate orders is equal to 10%
Step-by-step explanation:
Generally from the question we are told that
The sample size is n = 367
The number of orders that were not accurate is
The population proportion for rate of inaccurate orders is p = 0.10
The null hypothesis is
The alternative hypothesis is
Generally the sample proportion is mathematically represented as
=>
=>
Generally the test statistics is mathematically represented as
=>
=>
From the z table the area under the normal curve to the left corresponding to -0.8174 is
Generally the p-value is mathematically represented as
=>
From the value obtained we see that hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to show that the rate of inaccurate orders is equal to 10%
Answer:
<h2>88 cars</h2><h2>132 trucks</h2>Step-by-step explanation:
This is a ratio problem, the ratio of cars to trucks
for every 4 cars, there are 6 trucks
represented as a ratio we have 4:6
1. how many of them are cars
applying the part to whole strategy we have
4+6 = 10
let cars be x
2. how many of them are trucks?
let trucks be y