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3 years ago

Assume that 2 cards are drawn from a standard 52-card deck. Find the following probabilities.

Mathematics

1 answer:

topjm [15]3 years ago

7 0

Answer:

Step-by-step explanation:

WITHOUT replacement of first card drawn:

P(a 10 is drawn) = 13/52 = 1/4

P(the next draw is a 10) = 12/52 = 3/13

P(drawing two 10s without replacement of the first draw) = (1/4)(3/13) = 3/52

WITH replacement of first card:

P(two 10s are drawn) = P(first card is a 10)*P(first card is a 10) = (4/13)(4/13) =

16/169

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Omar, Hala and Lujain got paid a total of $240 for cleaning neighborhood cars. They split the money in the ratio of 5: 9: 10. Ho

Levart [38]

Answer:

Total amount Omar earn = $120

Step-by-step explanation:

Given:

Total amount Omar, Hala and Lujain got paid = $240

Ratio of money Omar, Hala and Lujain got paid = 5:9:10

Find:

Total amount Omar earn

Computation:

Total amount Omar earn = [Total amount Omar, Hala and Lujain got paid][Omar'ratio / Total ratio]

Total amount Omar earn = [240][5 / (5+9+10)]

Total amount Omar earn = [240][5 / (24)]

Total amount Omar earn = [24][5]

Total amount Omar earn = $120

5 0

2 years ago

5. It is known that AABC = ADEF. If AB = 5, BC = 10, AC = 8, and DF = 2x-6, then solve for the value of

lorasvet [3.4K]

Answer:

The value of x is 7

Step-by-step explanation:

we know that

If two figures are congruent, then the corresponding angles and the corresponding sides are equal

In this problem

Triangles ABC and DEF are congruent

ABC≅DEF

therefore

AB=DE ----> equation A

AC=DF ----> equation B

BC=EF ----> equation C

Substitute the given values in the equation B

$8=2x-6$

Solve for x

$2x=8+6$

$2x=14$

$x=7$

therefore

The value of x is 7

The draw in the attached figure

3 0

3 years ago

#1) Line j contains points (-3,5) and (6,-1). If line p is PERPENDICULAR to linej,

tia_tia [17]

First find slope of line j
(-1-5)/(6+3) = -6/9 = -2/3
Perpendicular = opposite sign and reciprocal slope

Solution: 3/2

5 0

2 years ago

A manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly.

denpristay [2]

Answer:

We conclude that the population mean light bulb life is at least 500 hours at the significance level of 0.01.

Step-by-step explanation:

We are given that a manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. The population standard deviation is 50 hours and the light bulb life is normally distributed.

You select a sample of 100 light bulbs and find mean bulb life is 490 hours.

Let $\mu$ = population mean light bulb life.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 500 hours {means that the population mean light bulb life is at least 500 hours}

Alternate Hypothesis, $H_A$ : $\mu$ < 500 hours {means that the population mean light bulb life is below 500 hours}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean bulb life = 490 hours

σ = population standard deviation = 50 hours

n = sample of light bulbs = 100

So, the test statistics = $\frac{490-500}{\frac{50}{\sqrt{100} } }$

= -2

The value of z test statistics is -2.

Now, at 0.01 significance level the z table gives critical value of -2.33 for left-tailed test.

Since our test statistic is higher than the critical value of z as -2 > -2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the population mean light bulb life is at least 500 hours.

7 0

3 years ago

Which of the following statements are equivalent to the statement "Not all cats do not like having their belly rubbed"?

notka56 [123]

Answer:

“Not all cats dislike having their belly rubbed”

Step-by-step explanation:

Just try not to repeat words because it is confusing and wordy.

6 0

3 years ago