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3 years ago

Use the Distributive property to find the product 16 × 2 1/2

Mathematics

2 answers:

Mama L [17]3 years ago

7 0

From evaluating the answer to 16 * 2 1/5 I got:

40

Hope this helps :)

aev [14]3 years ago

5 0

I agree, I was trying to figure it out, and I got 40 as the answer.

I really hope that I helped in some way!

:)

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The weight of an organ in adult males has a bell-shaped distribution with a mean of 320 grams and a standard deviation of 45 gr

irina1246 [14]

Answer:

a) 99.7%

b) 68%

c) 68% of organs weighs between 275 and 365 grams, so 32% of organs weighs will be less than 275 or more than 365 grams.

d) 81.5% of organs weighs between 290 grams and 365 grams.

Step-by-step explanation:

A) 99.7% of organs will be between 3 standard deviation from the mean.

$320 - 3 \times 45 = 185$

$320 + 3 \times 45 = 455$

So 99.7% of organs will be between 185 and 455.

B) 275 grams and 365 grams are 1 standard deviation from the mean.

From empirical rule about 68% data falls within 1 standard deviation from the mean.

So 68% of organs weighs btwn 275 grams and 365 grams.

C) Since 68% of organs weighs between 275 and 365 grams, so 32% of organs weighs will be less than 275 or more than 365 grams.

D) 230 is 2 standard deviation below the mean and 365 is one standard deviation above the mean.

According to the empirical rule, 95% of the observation lies within 2 standard deviations of the mean. Therefore 5% lies outside 2 standard deviations of the mean.

So 95%/2 = 47.5% of organs weighs between the mean and 230 grams.

According to the empirical rule about 68% data falls within one standard deviation from the mean.

so, 68%/2 = 34% of organs weighs between the mean and 365 grams.

So total = 47.5% + 34% = 81.5% of organs weighs between 290 grams and 365 grams.

7 0

3 years ago

Round off 600341 to the nearest a) tens b) hundreds c) thousands

Anna71 [15]

a) 600340

b) 600300

c) 600000

8 0

3 years ago

The southward translation of the rose garden is along which axis? What integer represents a change of four yards south?

Sphinxa [80]

Going south means you're going in the negative direction along the y axis

Going 4 yards south would be represented as -4 on the y axis number line (this is the vertical number line)

3 0

3 years ago

1 > -1/2x + 5 solve for x

RUDIKE [14]

Answer:

x is greater than 8

Step-by-step explanation:

6 0

2 years ago

Dr. Steve is working with a new radioactive substance in his lab. He currently has 64 grams of the substance and knows that it d

4vir4ik [10]

Remember that the general decay equation is:
$y=A(1-r)^{x}$
where
$y$ is the amount after a time $x$
$A$ is the initial amount
$r$ is the the decay percent in decimal form

The first ting we are going to do is find $r$ by dividing our <span>decay rate of 25% by 100%: </span> $r= \frac{25}{100} =0.25$ .
We also know from our problem that $y=64$ . Lets replace $y$ and $r$ in our formula:
$64=A(1-0.25)^{x}$
$64=A(0.75)^{x}$
We know now that our decay rate is 0.75, and since 0.75<1, we can conclude that this situation represents exponential decay.

Now, to find the initial amount, we are going to solve our equation for $A$ :
$64=A(0.75)^{x}$
$A= \frac{64}{0.75 ^{x} }$
Notice that $A$ will depend on the number of ours $x$ . <span />

4 0

3 years ago

Read 2 more answers