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azamat
2 years ago
13

In a science experiment, Shelly has to weigh a compound in grams. The balance in her school measures in milligrams (mg). Shelly

finds that the weight of the compound is 8,450 mg. What is the value in grams (g) that Shelly should enter? (grams : milligrams = 1 : 1,000)
Mathematics
2 answers:
Anit [1.1K]2 years ago
7 0
I believe it's 8.45 grams

Oksi-84 [34.3K]2 years ago
5 0
We know, 1 g = 1000 mg
so, 1 mg = 1/1000 g
then, 8,450 mg = 1/1000 * 8,450 = 8.450 g

In short, Your Answer would be: 8.450 Grams

Hope this helps!
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Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is 450 kg, but Renna and her l
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Answer:

620-37.4p\leq 450

Step-by-step explanation:

Let p be the number of identical packages.

We have been given that each package has a mass of 37.4 kg, so weight of p packages will be 37.4p.

The total mass of Renna and her load of identical packages is 620 kg.

We have been given that the mass limit for the elevator is 450 kg. This means that Renna can remove p packages from 620 kg such that 620 minus weight of p packages will be less than or equal to 450 kg.

We can represent this information in an inequality as:

620-37.4p\leq 450

Therefore, the inequality 620-37.4p\leq 450 can be used to determine the number of packages, p, Renna could remove from the elevator to meet the mass requirement.

3 0
2 years ago
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A dairy farmer accidentally allowed some of his cows to graze in a pasture containing weeds that would contaminate the flavor of
zlopas [31]

Answer:

the required probability of is 0.1886

the approximate probability is 0.2052

Step-by-step explanation:

The farmer estimates that​ there's a a 9 9​% chance of a cow grazing on some of the flavorful weeds

i.e P = 9.9% = 0.099

Let assume that X is a description of how the cows are grazing on some of the flavorful weeds.

The probability density function of the binomial distribution is :

\mathbf{P(X=x)=(^n_x)_{p^x}(1-p)^{n-x}}

a)

To calculate that the probability that none of the 16  animals in this herd ate the tasty​ weeds.

\mathbf{P(X=0)=(^{16} _0){(0.099)^0}(1-0.099)^{16-0}}

= \mathbf{1*1*0.1886}

= 0.1886

Thus; the required probability of is 0.1886

b) To calculate the probability that no animal ate the weed.

By using Poisson approximation model:

\mathbf{P(X=0) = \frac{e^{-(np)}(np)^x}{x!} }

\mathbf{P(X=0) = \frac{e^{-(16*0.099)}(16*0.099)^0}{0!} }

\mathbf{P(X=0) =e^{-1.584}}

\mathbf{P(X=0) =1.5254*10^{-7}}

               = \mathbf{0.2052}

Hence; the approximate probability is 0.2052

4 0
1 year ago
Student researchers Haley, Jeff, and Nathan saw an article on the Internet claiming that the average vertical jump for teens was
abruzzese [7]

Answer:

There is no convincing evidence at α = 0.10 level that the average vertical jump of students at this school differs from 15 inches.

Step-by-step explanation:

We have to make a hypothesis test to prove the claim that the average vertical jump of students differs from 15 inches.

The null and alternative hypothesis are:

H_0: \mu=15\\\\H_a: \mu\neq15

The significance level is 0.10.

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The degrees of freedom are df=(20-1)=19.

The t-statistic is:

t_{19}=\frac{M-\mu}{s_M/\sqrt{n}} =\frac{17-15}{5.37/\sqrt{20}}=\frac{2}{5.37/4.47} =2/1.20=1.67

The two-sided P-value for t=1.67 is P=0.11132.

This P-value is bigger than the significance level, so the effect is not significant. The null hypothesis can not be rejected.

There is no convincing evidence at α = 0.10 level that the average vertical jump of students at this school differs from 15 inches.

7 0
1 year ago
Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 ​ of a blanke
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Answer:


Step-by-step explanation:

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Then x+y≤60

See the graph attached as x axis for days crocheted and y for days skipped

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