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3 years ago

Use decimals to express a probability in tenths.

Mathematics

2 answers:

Anastaziya [24]3 years ago

5 0

0.1 since 2/20 is 0.1

Inessa05 [86]3 years ago

4 0

0.1 if it isnt irregular, 20 baggs is a very small test to test probability of 10%

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Bruce has a bottle that contains 60% lemon juice and the rest water. The bottle has 1 liter of water. Part A: Write an equation

ser-zykov [4K]

Answer:

Part A: (40/100)*x = 1 where x is the total contents of the bottle.

Part B: 1.5 Liters = the Lemon Juice

Step-by-step explanation:

Part A

Let the full contents of the bottle = x

Equation

Since 60% of it is lemon juice, then 100% - 60% = 40% must be water.

(60/100) * x = ?? Equation for Lemon Juice. You have to solve the water first.

(40/100) * x = 1 Equation for water

Part B

(40/100) * x = 1 change the 40% to a decimal

0.4x = 1 Divide by 0.4

x = 1/0.4 = 2.5 L

Now to find out the amount of lemon juice

0.6 * 2.5 = Lemon Juice

1.5 L = the amount of Lemon Juice.

4 0

3 years ago

Solve the equation 186+10x=25.5x to find how many diving lessons __ lesson(s)

vredina [299]

Answer: x=12

Steps shown in image below:

3 0

3 years ago

At Karl's Exact Ice-Cream, Karl fills each cone completely and tops it off with a scoop on top. Approximately how much ice-cream

hammer [34]

Answer:

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3 years ago

A chemist examines 15 geological samples for potassium chloride concentration. The mean potassium chloride concentration for the

Lelu [443]

Answer:

95% Confidence interval: (0.375,0.377)

Step-by-step explanation:

We are given the following in the question:

Sample mean, $\bar{x}$ = 0.376 cc/cubic meter

Sample size, n = 15

Alpha, α = 0.05

Sample standard deviation, s = 0.0012

Degree of freedom =

$=n-1\\=15-1\\=14$

95% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 14 and}~\alpha_{0.05} = \pm 2.145$

$0.376 \pm 2.145(\dfrac{0.0012}{\sqrt{15}} )\\\\ = 0.376 \pm 0.0006\\\\ = (0.3754,0.3766)\approx (0.375,0.377)$

(0.375,0.377) is the required 95% confidence interval for the population mean potassium chloride concentration.

5 0

3 years ago

Each of the 25 balls in a certain box is either red, blue or white and has a number from 1 to 10 painted on it. If one ball is t

Aneli [31]

Answer:

Not sufficient information

Step-by-step explanation:

Probability of white ball: P(W)

Probability of even number: P(E)

Probability of white ball or even number: P(W∨E) is asked

Considering case (1):

Probability of white ball and even number: P(W∧E) = 0

And we know that,

P(W∨E) = P(W) + P(E) - P(W∧E) = P(W) + P(E) - 0 = P(W) + P(E)

It is not sufficient to calculate the desired probability.

Considering case (2):

P(W) - P(E) = 0.2

Here, it is possible for P(W) and P(E) to get multiply values.

So P(W∨E) cannot be determined.

Considering cases (1) & (2):

P(W∧E) = 0 and P(W) - P(E) = 0.2

So, P(W∨E) = P(W) + P(E) = P(E) + 0.2 + P(E) = 2P(E) + 0.2

Again multiple answers are possible.

Such as, for P(E) = 0.4 (10 even balls) ⇒ P(W∨E) = 1

but for P(E) = 0.2 (5 even balls) ⇒ P(W∨E) = 0.6

So, the information are not sufficient.

3 0

3 years ago