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3 years ago

5

Your mother gave you $13.32 to buy a present for your friend's birthday. This covered three-fifths of the cost of the present. W

rite and solve an equation to represent the cost, c of the present.

1 answer:

jarptica [38.1K]3 years ago

5 0

$13.32=3/5x and it cost $22.20

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Suppose that blood chloride concentration (mmol/L) has a normal distribution with mean 104 and standard deviation 5

Stels [109]

Answer:

a) 0

b) 0.579 is the probability that chloride concentration is less than 105.

c) 0.32 is the probability that chloride concentration differs from the mean by more than 1 standard deviation.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 104

Standard Deviation, σ = 5

We are given that the distribution of blood chloride concentration is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) Since normal distribution s a continuous distribution, the probability for a particular value is zero. Therefore,

$P(x =105) = 0$

b) P(chloride concentration is less than 105)

$P(x < 105) = P(z < \displaystyle\frac{105-104}{5}) = P(z < 0.2)$

Calculating the value from the standard normal table we have,

$P(z$

c) P(chloride concentration differs from the mean by more than 1 standard deviation)

Since it is a normal distribution, the Empirical rule shows that 68% falls within the first standard deviation, 95% within the first two standard deviations, and 99.7% within the first three standard deviations.

= 1 - P(chloride concentration within the mean by 1 standard deviation)

= 1 - 0.68 = 0.32

3 0

3 years ago

Stephan buys a melon and divides it into 6 servings. he eats 1/3 of the melon over the weekend. how many piecesof melon does ste

umka21 [38]

He eats 2 pieces because 1/3 of 6 would be 2 leaving 4 pieces remaining.

3 0

3 years ago

Read 2 more answers

What is the domain and range of this function?

max2010maxim [7]

As for the domain, the only restriction comes from the logarithm. The argument of a logarith must be strictly positive, so we have

$x-2>0 \iff x>2$

As for the range, we have:

The range of $\log(x)$ are all real numbers
If we change to $\log(x-2)$ we're translating the function horizontally, so the range remains the same
If we change to $\log(5(x-2()$ we're stretching the function horizontally, so the range doesn't change
If we change to $\log(5(x-2))+1$ we're translating the function 1 unit up, but the range is already all the real numbers, so it doesn't change.

5 0

3 years ago

£440 is divided between David, Mark & Henry so that David gets twice as much as Mark, and Mark gets three times as much as H

Lesechka [4]

Mark received £ 132

<em><u>Solution:</u></em>

Given that £440 is divided between David, Mark & Henry

Let "d" be the share of david

Let "m" be the share of mark

Let "h" be the share of henry

Total amount is 440

Therefore,

share of david + share of mark + share of henry = 440

d + m + h = 440 ------- eqn 1

<em><u>David gets twice as much as Mark</u></em>

d = 2m ----- eqn 2

<em><u>Mark gets three times as much as Henry</u></em>

m = 3h

$h = \frac{m}{3}$ ------ eqn 3

<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>

$2m + m + \frac{m}{3} = 440\\\\\frac{6m + 3m + m}{3} = 440\\\\10m = 1320\\\\m = 132$

Thus Mark received £ 132

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3 years ago

8,370 - 62 =<br> remainder

Marizza181 [45]

Answer:

8308?

Step-by-step explanation:

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3 years ago