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sineoko [7]
3 years ago
9

A greenhouse is offering a sale on tulip bulbs because they have inadvertently mixed pink bulbs with red bulbs. If​ 40% of the b

ulbs are pink and​ 60% are​ red, what is the probability that at least one of the bulbs will be pink if 4 bulbs are​ purchased?
Mathematics
1 answer:
Zolol [24]3 years ago
5 0
<h3>Answer:   0.8704</h3>

Explanation:

40% of the bulbs are pink, 60% are red

the probability of picking pink is 0.40 and the probability of not picking pink is 0.60

The chances of getting 4 non-pink in a row is 0.6*0.6*0.6*0.6 = 0.6^4 = 0.1296

The complement to this event is getting at least one pink bulb, which has a chance of 1-0.1296 = 0.8704

0.8704 converts to 87.04%

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artcher [175]
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430,000 = 250,000 + 2,000x where x is number of months

To find number or months solve for x
430,000 = 250,000 + 2,000x

Subtract 250,000
180,000 = 2,000x

Divide by 2,000
x = 90 months

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6 0
3 years ago
The director of a state agency believes that the average starting salary for clerical employees in the state is less than ​$35 c
MrRissso [65]

Answer:

There is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 35,000 dollars per year

Sample mean, \bar{x} = 34,700 dollars per year

Sample size, n = 100

Alpha, α = 0.10

Population standard deviation, σ = 3,500 dollars per year

First, we design the null and the alternate hypothesis

H_{0}: \mu = 35,000\text{ dollars per year}\\H_A: \mu < 35,000\text{ dollars per year}

We use one-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{34700 - 35000}{\frac{3500}{\sqrt{100}} } = -0.8571

Now, z_{critical} \text{ at 0.10 level of significance } = -1.28

Since,  

z_{stat} > z_{critical}

We fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

3 0
3 years ago
Solve this equation with variables on both sides- 8x-19=-3x-41 Show work
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Solve for x using basic trigonometric ratios.
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Solve the equation: \frac{2}{3}t=\frac{5}{9} (hint: reciprocal)
Aleks04 [339]

Given:

\frac{2}{3}t=\frac{5}{9}\text{ We know that the reciprocal of }\frac{2}{3}\text{ is }\frac{3}{2}\text{.}

Multiply both sides by 3/2, we get

\frac{3}{2}\times\frac{2}{3}t=\frac{3}{2}\times\frac{5}{9}

Cancel out the common multiples, we get

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The solution of the given equation is

t=\frac{5}{6}

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3 0
1 year ago
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