Answer:
50.3 mm
Step-by-step explanation:
The perimeter of the shaded region = perimeter of a full circle + 2(Length)
= πd + 2(L)
diameter (d) = width = 9 mm
Length (L) = 11 mm
Perimeter of the shaded region = π*9 + 2(11)
= 50.2743339 ≈ 50.3 mm (nearest tenth)
Answer:
Mustafa's pretax income is $59,808.
Step-by-step explanation:
Given in the question Mustafa's annual salary = $67,200
and Mustafa contribute 11% of his salary to his 401 k plan.
Since we know that 401 k plan is a retirement plan in which an employee gets the exemption from his salary on a pretax basis.
Therefore exemption will be = 11% of $67,200
= 67,200×0.11
= $7,392
Now pretax income or taxable income = 67,200-7,392 = $59,808
Therefore pretax income of Mustafa is $59,808.
Answer:
I only see one true equation. Please check the statements.
Step-by-step explanation:
О 0+451=0← for A <u><em>FALSE</em></u>
О 130+210=210+130← for B <u><em>FALSE</em></u>
О (123+57)+180=180+(87+180)←for C <u><em>FALSE</em></u>
√ for= 497+0=497←for D <u><em>TRUE</em></u>
The number in brackets represents the percentage change
1.045
the 1 shows that it is an increase and the .045 shows the percent
for example 1.55 would be 55% increase and 1.555 would be 55.5% increase
Answer:
Step-by-step explanation:
Given that a dairy scientist is testing a new feed additive. She chooses 13 cows at random from a large population of cows. She randomly assigns nold = 8 to get the old diet, and nnew = 5 to get the new diet including the additive.
From the data given we get the following
N Mean StDev SE Mean
Sample 1 8 43 5.1824 1.832
Sample 2 5 73 21.0832 9.429
df = 11
Std dev for difference = 13.3689
a) Yes the two are independent. The two sets of cows randomly chosen are definitely independent. Paired means equal number should be there and homogeneous conditions should be maintained.
b) Enclosed
c) Comparison of two means is the test recommended here. Because independent samples are used.\
d) Test statistic= -3.1233
(because of unequal variances we use that method)
95% confidence interval = ( -56.6676 , -3.3324 )
p value <0.05 our alpha
So reject null hypothesis.
The two means are statistically significantly different.