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Svetach
9 days ago
13

Elizabeth runs a farm stand that sells apples and raspberries. Each pound of apples sells for $2.25 and each pound of raspberrie

s sells for $1.50. Elizabeth sold 32 more pounds of raspberries than pounds of apples and made $108 altogether. Graphically solve a system of equations in order to determine the number of pounds of apples sold, x, and the number of pounds of raspberries sold,y.
Mathematics
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It is desired to test H0: μ = 55 against H1: μ < 55 using α = 0.10. The population in question is normally distributed with a
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Answer:

Step-by-step explanation: What is the value of 42% of 85?

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2 months ago
The chance of winning a certain game at a carnival is 2 in 5. If Andy plays the game 12 times, what is the probability that he l
PIT_PIT [12445]

Answer:

There is a 1.5267% chance that he loses AT MOST 3 times.

Step-by-step explanation:

Each game Andy plays has only two outcomes: a win or a loss. The probability of winning doesn’t depend on previous games, leading us to use the binomial probability distribution for this situation.

Binomial probability distribution

This distribution calculates the probability of achieving exactly x successes in n trials with only two possible outcomes for X.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

Where C_{n,x} signifies the various combinations of x objects from a set of n elements, calculated using:

C_{n,x} = \frac{n!}{x!(n-x)!}

And p represents the likelihood of X occurring.

The winning probability for a certain carnival game is 2 out of 5.

This implies a losing chance of (5-2) in 5, equaling 3 out of 5.

Thus, p = \frac{3}{5} = 0.6

Considering 12 games:

Consequently, n = 12.

What probability is there that he loses AT MOST 3 times?

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3).

Where:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{12,0}.(0.6)^{0}.(0.4)^{12} = 0.000017

P(X = 1) = C_{12,1}.(0.6)^{1}.(0.4)^{11} = 0.000302

P(X = 2) = C_{12,2}.(0.6)^{2}.(0.4)^{10} = 0.002491

P(X = 3) = C_{12,3}.(0.6)^{3}.(0.4)^{9} = 0.012457

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.000017 + 0.000302 + 0.002491 + 0.012457 = 0.015267

The likelihood of losing AT MOST 3 times is 1.5267%.

6 0
2 months ago
Mario walked at a rate of 2/3 miles every 10 minutes what is his unit rate every mile per hour
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Mario has a unit rate of 900 miles/hour.

Explanation:

It is given that Mario travels at a rate of 2/3 miles every 10 minutes.

We use the relation between speed, time, and distance, described by

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We have,

Distance = \frac{2}{3} \text{ miles}

Time = 10 minutes

By substituting these values into the preceding formula, we get

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X - 3 = 2x - 13
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2 months ago
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