A ball is made of a plastic sphere covered with a layer of rubber. The plastic sphere has a radius of 18 in., and the ball itsel
1 answer:
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X=750+125.75x
subtract to variable (x) on one side
x-125.75x=750+125.75x-125.75x
-124.75x=750
divide -124.75 to get variable (x) by itself
-124.75x/-124.75=750/-124.75
x=-3000/499
or
x=-6 6/499
or
x=-6.01202
subtract to variable (x) on one side
x-125.75x=750+125.75x-125.75x
-124.75x=750
divide -124.75 to get variable (x) by itself
-124.75x/-124.75=750/-124.75
x=-3000/499
or
x=-6 6/499
or
x=-6.01202
Answer:
<em>H₀</em>: <em>μ</em> = 35 mpg vs. <em>Hₐ</em>: <em>μ</em> < 35 mpg.
A <em>t</em>-test statistic should be used.
The company's claim is correct.
The true mean gas mileage of the new cars is 35 mpg.
Step-by-step explanation:
The consumer group can perform a test for single mean to determine whether the is less than 35 mpg or not.
The hypothesis can be defined as follows:
<em>H₀</em>: The true mean gas mileage of the new cars is 35 mpg, i.e. <em>μ</em> = 35 mpg.
<em>Hₐ</em>: The true mean gas mileage of the new cars is less than 35 mpg, i.e. <em>μ</em> < 35 mpg.
The information provided is:
<em>n</em> = 50
= 34.8 mpg
As there is no information abut the population standard deviation then we would have to compute the sample standard deviation to estimate the value of <em>σ</em>.
Since the sample standard deviation will be used, a <em>t</em> test statistic would have to be computed.
The test statistic is given by:
Assumptions for one sample <em>t</em>-test are:
- Independent samples
- The population is normally distributed
- The sample size should be large enough to make the assumption of normality.
The significance level of the test is, <em>α</em> = 0.05.
The <em>p</em>-value of the test is 0.324.
The decision rule based on <em>p</em>-value is that the null hypothesis will be rejected if the <em>p</em>-value is less than the level of significance and vice-versa.
The <em>p</em>-value = 0.324 > <em>α</em> = 0.05.
As the <em>p</em>-value is more than the significance level the null hypothesis will not be rejected.
Thus, concluding that the company's claim is correct.
The true mean gas mileage of the new cars is 35 mpg.
Answer:
The correct option is 3. The value of x is 8 inches.
Step-by-step explanation:
It is given that Figure A is dilated by a scale factor of 1/2 to form Figure B. It means both figure are similar and corresponding sides of similar figures are proportional.
Multiply both sides by 16.
Since scale factor is 1/2, so we can directly say that the side length of image is half of the corresponding side of preimage.
The length of x is 8 inches. Therefore the correct option is 3.