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NemiM [27]
3 years ago
7

The water level in the aquarium's shark tank is always greater than 25 feet. If the water level decreased by 6 feet during clean

ing, what was the water level before the cleaners took out any water.
Please write an inequality to solve the problem please
Mathematics
1 answer:
Whitepunk [10]3 years ago
8 0

Answer:31


Step-by-step explanation:25 +6


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Bev has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area
Kobotan [32]

Answer:

Step-by-step explanation:

Area of 19 by 29 rectangle = 551 sq ft

White space:

Area of large triangle = 0.5*15^2 = 112.5 sq ft

Area of 15 by 14 rectangle = 210 sq ft

Area of small triangle = 0.5*4^2 = 8 sq ft

Shaded area = 551 - 112.5 - 210 - 8 = 220.5 sq ft

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Whatwould u times by 9 to get 99?
Aleonysh [2.5K]
The answer would be 11.
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Derek is going to lay grass in a rectangular space that measures 85 by 32 feet.
adoni [48]

Answer:

2720 feet squared

Step-by-step explanation:

85 * 32 = 2720

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3 years ago
An angle bisector always creates two acute angles. find a counterexample to show that the conjecture is false.
sweet-ann [11.9K]
An acute angle is an angle that is less than 90°. An angle bisector is a ray drawn along an angle that bisects it into two equal and adjacent parts. Now, if the total angle is, say 270°, which is more than a half circle, it would result to two 135-degree angles. In this case, the angle is no longer acute, but obtuse.
5 0
3 years ago
If the filling equipment is functioning properly what is the probability that the volume of oil in a randomly selected barrel wi
Sophie [7]

Answer:

P(X>55.4)=P(\frac{X-\mu}{\sigma}>\frac{55.4-\mu}{\sigma})=P(Z>\frac{55.4-55}{0.5})=P(Z>0.8)

P(Z>0.8)=1-P(Z\leq 0.8)

P(Z>0.8)=1-0.788=0.212

Step-by-step explanation:

Assuming this previous info : "Trucks carry barrels of crude oil from a port in Texas to a distributer in New Mexico on long  trailers. Filling equipment is used to fill the barrels with the oil. When functioning properly,  the actual volume of oil loaded into each barrel by the filling equipment at the port is  approximately normally distributed with a mean of 55 gallons and a standard deviation of 0.5  gallons. If the mean is greater than 55.4 gallons, the filling mechanism is overfilling."

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the amount filling of a population, and for this case we know the distribution for X is given by:

X \sim N(55,0.5)  

Where \mu=55 and \sigma=0.5

We are interested on this probability

P(X>55.4)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>55.4)=P(\frac{X-\mu}{\sigma}>\frac{55.4-\mu}{\sigma})=P(Z>\frac{55.4-55}{0.5})=P(Z>0.8)

And we can find this probability using the complement rule:

P(Z>0.8)=1-P(Z\leq 0.8)

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(Z>0.8)=1-0.788=0.212

8 0
3 years ago
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