Answer:
Altitude of cylinder = 10 cm
Step-by-step explanation:
Given:
lateral surface area of cylinder = 90 cm²
Circumference of base = 9 cm
Find:
Altitude of cylinder
Computation:
Circumference of base = Circumference of cylinder
So,
2πr = 9
lateral surface area of cylinder = 2πrh
2πrh = 90
We know that; 2πr = 9
So,
9(h) = 90
h = 90 / 9
Altitude of cylinder = 10 cm
The probability that it will weigh less than 23.1 ounces is = 0.8643
P(x < 23.1)
= P[(x - \mu) / \sigma < (23.1 - 22) / 1]
= P(z < 1.1)
Using the z table,
= 0.8643
Probability is the branch of arithmetic concerning numerical descriptions of ways in all likelihood an occasion is to occur, or how likely it is that a proposition is authentic. The chance of an occasion is a variety of between zero and 1, where, roughly talking, 0 indicates the impossibility of the event, and 1 indicates truth.
The possibility of an event may be calculated through probability formulation by using simply dividing the favorable wide variety of consequences by the overall range of viable consequences.
Opportunity = the number of ways of achieving achievement. the whole quantity of feasible results. for instance, the possibility of flipping a coin and it being heads is ½, because there's 1 way of having a head and the total wide variety of viable results is 2 (a head or tail). We write P(heads) = ½.
Learn more about probability here brainly.com/question/25870256
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The points have to have the coordinate y=4 to be on the y=4 line
only the (1, 4) point matches this, so yes it is a solution, all others not and are therefore no
Answer:
John and Pam are paid $8.5 for each hour worked. John's share of the money is $29.75.
Step-by-step explanation:
Let x = the hourly salary. John worked for 3.5 hrs, and Pam for two. We can represent this using the equation:
3.5x + 2x = 46.75, where the coefficients equals the amount of hours.
Let's solve for x!
5.5x=46.75
x = 46.75/5.5 = 17/2 = 8.5
John and Pam are paid 8.5 dollars per each hour worked.
To figure out John's share of the money, we will multiply the wage by the hours he worked.
8.5 x 3.5 = 29.75
Ok the ladder and the ground will make a right triangle/right angle. This is because the ground is flat, the wall is straight and only the ladder is leaning/slanted. I hope this helps.
