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3 years ago

Tyler has a baseball bat that weighs 28 ounces. Find this weight in kilograms and in grams.

Mathematics

2 answers:

Svetllana [295]3 years ago

7 0

Answer: Tyler has a baseball bat that weighs 0.793786 kilogram or 793.786 grams.

Step-by-step explanation:

Given : Tyler has a baseball bat that weighs 28 ounces.

We know that 1 ounce = 28.3495 grams

$\text{Then , 28 ounces =}28\times28.3495$

$\Rightarrow\ \text{28 ounces =}793.786\text{ grams}$

Also, 1 kilogram = 1000 grams

$\Rightarrow\ \text{1 gram =}\dfrac{1}{1000}\text{ kilogram}$

$\Rightarrow\ \text{793.786 gram =}\dfrac{793.786}{1000}\text{ kilogram}$

$\Rightarrow\ \text{793.786 gram =}0.793786\text{ kilogram}$

Thus we can say that Tyler has a baseball bat that weighs 0.793786 kilogram or 793.786 grams.

brilliants [131]3 years ago

5 0

Answer

28 ounces = 793.79 grams

28 ounces = 0.79 kilograms.

Step by step explanation

1 ounce = 28.3495 grams

Now let's convert 28 into grams.

Here we have to multiply 28 by 28.3495

28 x 28.3495 = 793.787 grams

Now let's convert 793.787 into kilograms

1 kilograms = 1000 grams

793.787 grams = 0.79 kilograms

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A chef bought 0.69 kilograms of almonds and 0.64 kilograms of pecans. How many

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Answer: 1.33 kg

Step-by-step explanation:

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4 years ago

Difference of two whole numbers is 33 and its ratio is 2:5 then find those<br> numbers.

S_A_V [24]

Answer:

Step-by-step explanation:

Let the two whole numbers be 5x and 2x then

by the question

5x - 2x = 33

3x = 33

x = 33/3

x = 11

Therefore the numbers are

5x = 5*11 = 55
2x = 2*11 = 22

hope it helps:)

8 0

2 years ago

Determine m∠U if m∠R = 9x - 10 and m∠U = 3x + 4.

german

Answer:

50.5 degrees

Step-by-step explanation:

Since this is a parallelogram then...

Angle U + Angle R = 180

3x+4+9x-10=180

Combine like terms

12x-6=180

Add 6 to both sides

12x=186

Divide both sides by 12

x=15.5

Now we plug 15.5 in for x to find Angle U

3(15.5)4=46.5+4=50.5

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4 0

3 years ago

The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives 20.8 years; the

Luda [366]

If the mean is 20.8, one standard deviation each way is adding and subtracting 3.1, so 17.7 and 23.9 (68% of values)

Two standard deviations adding and subtracting 3.1*2 = 6.2, or 14.6 and 27.

Three standard deviations is 11.5 and 30.1

So we have
11.5 - 14.6 - 17.7 - 20.8 - 23.9 - 27 - 30.1

Going left to 11.5 is 3 standard deviations out, so 99.7/2 = 49.85%

Going right to 27 is 2 standard deviations out, so 95/2 = 47.5%

Add those two % to get 97.32%

This is hard to do without a picture so I hope that helps!

3 0

3 years ago

It is known that the life of a particular auto transmission follows a normal distribution with mean 72,000 miles and standard de

scoray [572]

Answer:

a) $P(X$

$P(z$

b) $P(X>65000)=P(\frac{X-\mu}{\sigma}>\frac{65000-\mu}{\sigma})=P(Z>\frac{65000-72000}{12000})=P(z>-0.583)$

$P(z>-0.583)=1-P(Z$

c) $P(X>100000)=P(\frac{X-\mu}{\sigma}>\frac{100000-\mu}{\sigma})=P(Z>\frac{100000-72000}{12000})=P(z>2.33)$

$P(z>2.33)=1-P(Z$

Sicne this probability just represent 1% of the data we can consider this value as unusual.

d) $z=1.28$

And if we solve for a we got

$a=72000 +1.28*12000=87360$

So the value of height that separates the bottom 90% of data from the top 10% is 87360.

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".

Part a

Let X the random variable that represent the life of a particular auto transmission of a population, and for this case we know the distribution for X is given by:

$X \sim N(72000,12000)$

Where $\mu=72000$ and $\sigma=12000$

We are interested on this probability

$P(X$

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:

$P(X$

And we can find this probability using excel or the normal standard table and we got:

$P(z$

Part b

$P(X>65000)$

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:

$P(X>65000)=P(\frac{X-\mu}{\sigma}>\frac{65000-\mu}{\sigma})=P(Z>\frac{65000-72000}{12000})=P(z>-0.583)$

And we can find this probability using the complement rule and excel or the normal standard table and we got:

$P(z>-0.583)=1-P(Z$

Part c

$P(X>100000)$

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:

$P(X>100000)=P(\frac{X-\mu}{\sigma}>\frac{100000-\mu}{\sigma})=P(Z>\frac{100000-72000}{12000})=P(z>2.33)$

And we can find this probability using the complement rule and excel or the normal standard table and we got:

$P(z>2.33)=1-P(Z$

Sicne this probability just represent 1% of the data we can consider this value as unusual.

Part d

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

$P(X>a)=0.1$ (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 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

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:

$z=1.28$

And if we solve for a we got

$a=72000 +1.28*12000=87360$

So the value of height that separates the bottom 90% of data from the top 10% is 87360.

5 0

3 years ago