The Table is the greater unit rate!
Answer:
£ 38,110
Step-by-step explanation:
We need to find salary for 1 year (12 months).
- Monthly Salary = 1410, so yearly would be:
1410 * 12 = 16,920
- 26% of total profit. Let's find the profit first:
Profit is Income - Cost
So, that would be (from table):
Profit = 549000 - 473500 = 75,500
26% of that would be:
26/100 = 0.26
0.26 * 75,500 = 19,630
- 390 bonus for each month she sells atleast 16 cars
Out of 12 months (1 year), she sold at least 16 cars in 4 months, so she gets bonus of 390 for those 4 months, that would make:
390 * 4 = 1560
Total Pay for the year would be summation of all these:
Total Pay = 16,920 + 19,630 + 1560 = £ 38,110
Answer:
The z-score of a male bird of this species with a weight of 29.37 grams is 1.7.
Step-by-step explanation:
We are given that the weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation of 1.1 grams.
<u><em>Let X = weights of adult male birds of a certain species</em></u>
So, X ~ Normal(
)
The z score probability distribution for normal distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean weight = 27.5 grams
= standard deviation = 1.1 grams
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
SO, the z-score of a male bird of this species with a weight of 29.37 grams is given by;
<u>Z score</u> = = 
= <u>1.7</u>
Answer:
D. The plane needs to be about 27 meters higher to clear the tower.
Step-by-step explanation:
In this scenario a triangle is being formed. The base the plane's takeoff point to the tower base which is 42 meters (x).
The hypothenus is the distance travelled by the plane which is 83 meters (h)
The height of the tower is 98 Meters
We want to calculate the height of our triangle (y) so we can guage if the plane scaled the tower.
According to Pythagorean theorem
(x^2) + (y^2) = h^2
y = √ (h^2) - (x^2)
y = √ (83^2) - (42^2)
y= √(6889 - 1764)
y= 71.59 Meters
The height from the plane's position to the top of the tower will be
Height difference = 98 - 71.59 = 26.41 Meters
So the plane should go about 27 Meters higher to clear the tower
Answer:
x=75
Step-by-step explanation:
74 = x-1
+1 +1
75=x
