Let us assume Devi or her brother amount = $x.
Devi spent 2/5 of x, that is 2/5 x.
Remaining amount of Devi = x- 2/5 x = 5x/5 - 2x/5 = 3x/5.
Her brother spent 3/10 of x, that is 3/10 x.
Remaining amount of her brother = x- 3/10 x = 10x/10 - 3x/10 = 7x/10.
Total amount they left together = $78.
Therefore,
Multiply equation by LCM 10.
Answer:
All real numbers
Step-by-step explanation:
Linear functions have a domain and range of all real numbers because they reach from -∞ to ∞ on the x-axis and y-axis.
An example is given below. The domain and range of the function are all real numbers.
Answer:
The statement is True.
Step-by-step explanation:
In this case we need to determine whether the rubber bands in a package of a particular brand of rubber band can hold a weight of 7 lbs or less.
A one-sample test can be used to perform the analysis.
The hypothesis can be defined as follows:
<em>H₀</em>: The mean weight the rubber bands can hold is 7 lbs, i.e. <em>μ</em> = 7.
<em>Hₐ</em>: The mean weight the rubber bands can hold is less than 7 lbs, i.e. <em>μ</em> < 7.
The information provided is:
As the population standard deviation is provided, we will use a <em>z</em>-test for single mean.
Compute the test statistic value as follows:
The test statistic value is -1.20.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected.
Compute the <em>p</em>-value for the two-tailed test as follows:
*Use a z-table for the probability.
The p-value of the test is 0.1151.
The <em>p</em>-value of the test is very large for all the commonly used significance level. The null hypothesis will not be rejected.
Thus, it can be concluded that the mean weight the rubber bands can hold is 7 lbs.
Hence, the statement is True.
Answer:
Step-by-step explanation:
The scenario is illustrated in the attached photo.
Desiree drove north for 30 minutes at 50 miles per hour.
Distance = speed × time
Distance travelled by Desiree to the north is 50 × 30 = 1500 miles
Distance travelled by Desiree back from the north and to the south is
60 × 20 = 1500 miles
She started from south and drove 1500 miles towards the north. She returned by driving 1200 miles again towards south . Distance of Desiree from where she started will be 1500 - 1200 = 300 miles.
She is 300 miles from her starting position and she is in the southern direction.
