Sample Answer: No, Ingrid is incorrect. The initial value in the scenario is 170 feet, which represents the y − intercept. Receding 4 feet in the scenario represents the rate of change, which is the slope. In slope-intercept form, y = mx + b, where m represents slope and b represents the y−intercept, so the correct equation is y = −4x + 170.
Answer
Social security tax amount = $3348
Medicare tax amount = $743
Step by step explanation
The amount earned by Marcus = $54000
Social security tax = 6.2% = 6.2/100 = 0.062
Social security tax amount = 54000*0.062
Social security tax amount = $3348
Medicare tax = 1.45% = 1.45/100 = 0.0145
Medicare tax amount = 54000*0.0145
Medicare tax amount = $743
Hope this will help you.
Answer:
68.4 meters shorter
Step-by-step explanation:
ok so you want to compare the distance 80 m + 270 m with the diagonal length.
the diagonal length = root ( 80^2 + 270^2 )
diagonal length = root(6400 + 72900)
diagonal = root(79300) =281.602 m
so.
350 - 281.602 = 68.397 meters about 68.4 meters shorter than walking around
Answer:
The probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.
Step-by-step explanation:
The random variable <em>X</em> is defined as the amount of time until the next student will arrive in the library parking lot at the university.
The random variable <em>X</em> follows an Exponential distribution with mean, <em>μ</em> = 4 minutes.
The probability density function of <em>X</em> is:

The parameter of the exponential distribution is:

Compute the value of P (X > 10) as follows:


Thus, the probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.
Answer:
We conclude that the sonnets were written by by a certain Elizabethan poet.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 8.9
Sample mean,
=10.2
Sample size, n = 6
Alpha, α = 0.05
Population standard deviation, σ = 2.5
First, we design the null and the alternate hypothesis
We use One-tailed z test to perform this hypothesis.
a) Formula:
Putting all the values, we have
Now,
b) We calculate the p value with the help of z-table.
P-value = 0.1003
The p-value is greater than the significance level which is 0.05
c) Since the p-value is greater than the significance level, there is not enough evidence to reject the null hypothesis and accept the null hypothesis.
Thus, we conclude that the sonnets were written by by a certain Elizabethan poet.