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olchik [2.2K]
3 years ago
7

A card is drawn from a deck of 52 cards. match the correct fraction with its corresponding probability. 1. p(a diamond or a hear

t): 2. p(a club or an ace):
Mathematics
2 answers:
vagabundo [1.1K]3 years ago
5 0
1. p=26/52
26/52=.5
50 percent

2. p=29/52
29/52=.56
56 percent
Maru [420]3 years ago
3 0

Answer:

1. 1/2

2. 4/13

Step-by-step explanation:

Cards in a standard deck  = 52

Cards of diamond = 13

Cards of heart = 13

Cards of club = 13

Cards of Ace = 4

One card is drawn from a deck of 52 cards.

1. probability of picking diamond or a heart = 13 + 13 = 26

p = \frac{26}{52} = \frac{1}{2}

2. probability of picking a club or an ace = 13 + 3 = 16

(Do not forget that one ace is taken in total of club cards)

p = \frac{16}{52} = \frac{4}{13}

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5x3 + 14x2 + 9x <br> help
Cerrena [4.2K]
<h3>Answer:    x(x+1)(5x+9) </h3>

===================================================

Work Shown:

5x^3 + 14x^2 + 9x

x( 5x^2 + 14x + 9 )

To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.

A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(14)\pm\sqrt{(14)^2-4(5)(9)}}{2(5)}\\\\x = \frac{-14\pm\sqrt{16}}{10}\\\\x = \frac{-14\pm4}{10}\\\\x = \frac{-14+4}{10} \ \text{ or } \ x = \frac{-14-4}{10}\\\\x = \frac{-10}{10} \ \text{ or } \ x = \frac{-18}{10}\\\\x = -1 \ \text{ or } \ x = \frac{-9}{5}\\\\

Then use those two solutions to find the factorization

x = -1  or  x = -9/5

x+1 = 0  or  5x = -9

x+1 = 0  or  5x+9 = 0

(x+1)(5x+9) = 0

So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)

-----------

Overall,

5x^3 + 14x^2 + 9x

factors to

x(x+1)(5x+9)

6 0
3 years ago
Find the slope of 10y = 7x + 5.<br> Round to the third.
hram777 [196]

Answer:

0.7

Step-by-step explanation:

10y = 7x + 5

Divide both sides by 10.

y = 7x/10 + 5/10

y = 0.7x + 0.5

On a straight line of the form y = kx + m, k is the slope of the line.

In our line, y = 0.7x + 0.5, k is 0.7. Thus, the slope of our function is 0.7

Answer: 0.7

8 0
3 years ago
What is the answer to 4/5w = 8
Leni [432]

Answer:

w = 10

Step-by-step explanation:

\frac{4}{5}w=8~(Given)\\\\\frac{5}{4}(\frac{4}{5}w)=\frac{5}{4}(8)~(Multiply~5/4~on~both~sides)\\\\w=10~(Simplify)

4 0
2 years ago
Read 2 more answers
The American Bankers Association reported that, in a sample of 120 consumer purchases in France, 48 were made with cash, compare
tatuchka [14]

Answer:

Step-by-step explanation:

Hello!

You have the information for two variables

X₁: Number of consumer purchases in France that were made with cash, in a sample of 120.

n₁= 120 consumer purchases

x₁= 48 cash purchases

p'₁= 48/120= 0.4

X₂: Number of consumer purchases in the US that were made with cash, in a sample of 55.

n₂= 55 consumer purchases

x₂= 24 cash purchases

p'₂= 24/55= 0.4364

You need to construct a 90% CI for the difference of proportions p₁-p₂

Using the central limit theorem you can approximate the distribution of both sample proportions p'₁ and p'₂ to normal, so the statistic to use to estimate the difference of proportions is an approximate standard normal:

[(p'₁-p'₂) ± Z_{1-\alpha /2} * \sqrt{\frac{p'_1(1-p'_1)}{n_1} +\frac{p'_2(1-p'_2)}{n_2} }]

Z_{0.95}= 1.648

[(0.4-0.4364)±1.648 * \sqrt{\frac{0.4(1-0.4)}{120} +\frac{0.4364(1-0.4364)}{55} }]

[-0.1689;0.0961]

The interval has a negative bond, it is ok, keep in mind that even tough proportions take values between 0 and 1, in this case, the confidence interval estimates the difference between the two proportions. It is valid for one of the bonds or the two bonds of the CI for the difference between population proportions to be negative.

I hope this helps!

8 0
3 years ago
What the mean "let bygone be bygone"​
Galina-37 [17]

Answer:

let the past stay in the past

Step-by-step explanation:

8 0
3 years ago
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