Answer:
Step-by-step explanation:
The probability that a mosquito lands on your neck per second is 0.5
The chance of it biting once it lands is 0.2
The likelihood that it does not bite after landing is 0.8
Therefore, the probability of a bite in one second is 
This translates to a 1/100 likelihood of being bitten in just one second
Over the course of 100 seconds, the expected number of bites is 
The anticipated interval between bites is 100
The problem's sample space consists of a selection of roses and hibiscus in various colors, totaling 315 flowers. Among these, 20 are pink roses, making the probability of selecting a pink rose 20/315, or approximately 0.063.
Hello
So my brother shared this on Yahoo
To start, draw a line connecting the circle's center to one endpoint of the chord (water surface) and again to the point with maximum depth. This creates a right triangle. The length of the side up to the water-surface measures 5 cm, and the hypotenuse is 7 cm.
<span>Now, perform the following steps: </span>
<span>Calculate angle θ at the right triangle's corner using: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7) </span>
<span>Thus, θ is approximately 44.4°, leading to the angle subtended at the circle center by the water surface being roughly 88.8°. </span>
<span>To find the shaded area, subtract the triangular area above the water in your diagram from the area of the sector. </span>
<span>Shaded area ≃ 88.8/360*area of circle - ½*7*7*sin88.8° </span>
<span>= 88.8/360*π*7² - 24.5*sin 88.8° </span>
<span>which is approximately 13.5 cm² </span>
<span>(using area of ∆ = ½.a.b.sin C for the triangle) </span>
<span>b) </span>
<span>The water's volume is equal to the cross-sectional area multiplied by the length </span>
<span>≈ 13.5 * 30 cm³ </span>
<span>≈ 404 cm³</span>
I hope this was helpful
Answer:
5.83
Step-by-step explanation:
To determine the mean:
10(0.1) + 15(0.2) + 20(0.2) + 25(0.4) + 30(0.1)
u = 21
To find the standard deviation:
= 5.83
We start by developing an equation relating the sale price and the final price.
Let the original price be x and the final cost be y. Since the final cost is 75% of the price, we write
y = 0.75x
This matches the equation of a straight line y = mx + c with c = 0 and slope m = 0.75.
This confirms the function is linear, ruling out options (3) and (4).
Moreover, as the function has a specific formula y = 0.75x, it is not discontinuous; therefore, option (2) is invalid.
Consequently, option (1) is the correct choice.
Answer: (1) It's linear because the ratio of the change in the final cost to the change in price remains constant.
