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erastova [34]
3 years ago
13

I notice my dog has gained some weight and so i decided to reduce the amount of food that I feed him daily. I decide to start fe

eding him 1 1/10 pounds of food every day instead of the 1 7/8 pounds that I was feeding him daily. how much less dog food am I going to need in a month? (write your answer as a mixed number)
Mathematics
1 answer:
nirvana33 [79]3 years ago
5 0
Well, first you would want to turn 1 1/10 and 1 7/8 into improper fractions. This would result in 11/10 and 15/8.

Next you want to find the smallest common denominator:
11/10 (4/4) = 44/40
15/8 (5/5) = 75/40

You would then subtract:
75/40 - 44/40 = 31/40

The number 31/40 would be the amount of food you aren't giving the dog per day (are cutting back on). Now you jut have to find out how many days are in the month to get your final answer.
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A length of rope is stretched between the top edge of a building and a stake in the ground. The rope also touches a tree halfway
alexgriva [62]
The answer is 18 ft because 36 divided by 2 is 18
4 0
3 years ago
A bird (B) is spotted flying 6,000 feet from a tower (T)). An observer (O) spots the top of the tower (T) at a distance of 9,000
Nina [5.8K]

Answer:

The angle will be "48.7°".

Step-by-step explanation:

In ΔTBO, the given values are:

TB = 6,000 feet

BO = 9,000 feet

Now,

To find the angle,

⇒  Cos \ B =\frac{TB}{BO}

On putting the estimated values, we get

⇒   Cos \ x=\frac{6000}{9000}

⇒   Cos \ x=0.66

⇒          x=Cos^{-1} \ 0.66

⇒          x=48.7^{\circ}    

7 0
3 years ago
Read 2 more answers
Solve the inequality:<br><br> 3/10 is greater than or equal to k - 3/5
Ostrovityanka [42]

To solve the inequality 3/10 is greater than or equal to k - 3/5, we must first set it up. Since 3/10 is greater than or equal to something, we will have a greater than or equal to symbol, with the 'mouth' pointing towards 3/10. Setting this up we get:

3/10 ≥ k - 3/5

Now we want to get k by itself on one side. We can do this by adding 3/5 to each side.

3/10 + 3/5 ≥ k

Simplify

9/10 ≥ k

3 0
2 years ago
normally distributed with mean 24.6 seconds and standard deviation 0.64 seconds;the lower finishing time, the better. If the qua
marshall27 [118]

Answer:

z=1.04

And if we solve for a we got

a=24.6 +1.04*0.64=25.27

So the value of height that separates the bottom 85% of data from the top 15% is 25.27.  

Step-by-step explanation:

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 finishing time of a population, and for this case we know the distribution for X is given by:

X \sim N(24.6,0.64)  

Where \mu=24.6 and \sigma=0.64

Solution to the problem

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.15   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.04

And if we solve for a we got

a=24.6 +1.04*0.64=25.27

So the value of height that separates the bottom 85% of data from the top 15% is 25.27.  

3 0
2 years ago
The Sydney cricket ground can contain a football field of approximately 147m by 136m. What distance would be covered by walking
Irina-Kira [14]
The answer is 566m because 147 plus 147 and 136 plus 136 equals 566
7 0
2 years ago
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