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3 years ago

When drawing four cards, what is the probability of drawing an ace, a king, a queen, and a jack without replacement?

Mathematics

1 answer:

slega [8]3 years ago

7 0

It’s a slim chance considering there’s a lot of cards in one dec

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The slope (b1) represents

Alexandra [31]

Your answer would be
B. the estimated average change in y per unit change in x

6 0

3 years ago

the parabola y=x^2 is shifted up by 2 units and to the right by 3 units. what is the equation of the new porabola

Juli2301 [7.4K]

Up 2 units = y shifted up by 2:
y = x^2 + 2
to the right 3 units = x shifted right (+) by 3:
y + 3 = x^2 +2
new equation:
y = x^2 - 1

6 0

2 years ago

In a randomly selected sample of 1169 men ages 35–44, the mean total cholesterol level was 210 milligrams per deciliter with a s

Aneli [31]

Answer:

The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 210, \sigma = 38.6$

Find the highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10%.

This is the 10th percentile, which is X when Z has a pvalue of 0.1. So X when Z = -1.28.

$Z = \frac{X - \mu}{\sigma}$

$-1.28 = \frac{X - 210}{38.6}$

$X - 210 = -1.28*38.6$

$X = 160.59$

The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.

5 0

3 years ago

What fraction is equivalent to 36/60 and the sum of the numerator and denominator is 24

almond37 [142]

Answer:

The fraction is $\frac{9}{15}$

Step-by-step explanation:

$\frac{36}{60}$ = $\frac{x}{y}$

Where x and y are the numerator and denominator of our new fraction respectively.

Also given is that x + y = 24

So $\frac{x}{y}$ = 36 ÷ 60 = 0.6

x = 0.6y

Substituting x in x + y = 24 gives;

0.6y + y = 24 , 1.6y = 24

y = 24 ÷ 1.6 = 15

x = 24 - 15 = 9

So our fraction is $\frac{9}{15}$

5 0

3 years ago

the initial price of a home entertainment system is $34,000. It is discounted by 10% and then by a further 26%. Find the price o

maria [59]

The final price of the item is $22,644

The initial discount of 10% leaves the price at 90% of the retail value:
$\frac{x}{34000} = \frac{90}{100}$
cross multiply to solve for x:
100x = 3,060,000
x = 30,600
This new price is then discounted 26%, which means the final price is 74% of $30,600:
$\frac{x}{30600} = \frac{74}{100}$
cross multiply to solve for x:
100x = 2,264,400
x = 22,644
The final price of the home entertainment system is $22,644

8 0

2 years ago