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2 years ago

If you draw two cards from the deck at the same time, what is the probability that they will both be hearts?

Mathematics

1 answer:

koban [17]2 years ago

4 0

Answer:

The probability is 1/17.

Step-by-step explanation:

The total number of ways in which 2 cards can be selected from a pack of 52 cards is $\binom{52}{2}$

The total number of combinations of 2 cards with hearts equals $\binom{13}{2}$

Thus the probability of the event that both the cards have hearts becomes

$P(E)=\frac{\binom{13}{2}}{\binom{52}{2}}=\frac{1}{17}$

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A bank offers auto loans to qualified customers. The amount of the loans are normally distributed and have a known population st

vlabodo [156]

Answer: 1.467

Step-by-step explanation:

Formula of Margin of Error for (n<30):-

$E=t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : n= 22

Level of confidence = 0.90

Significance level : $\alpha=1-0.90=0.10$

By using the t-distribution table ,

Critical value : $t_{n-1, \alpha/2}=t_{21,0.05}= 1.720743$

Standard deviation: $\sigma=4$

Then, we have

$E=(1.720743)\dfrac{4}{\sqrt{22}}=1.46745456106\approx1.467$

Hence, the margin of error for the confidence interval for the population mean with a 90% confidence level =1.467

5 0

3 years ago

Read 2 more answers

Kelly plans to put her graduation money into an account and leave it there for 4 years while she goes to college. she recieves $

Firlakuza [10]

Answer:

C) $877.50

Step-by-step explanation:

Time t = 4 years

Principal, p = $750

rate, r = 4.25% = 0.0425

Amount that will be in her account in four years =

Simple interest (prt/100) + principal

750 * 4.25* 4 / 100 + 750

127.5 + 750

= $877.50

7 0

3 years ago

What is the answer to this?

katrin [286]

Answer:

$\huge\boxed{-28}$

Step-by-step explanation:

We can substitute the given values of $a$ , $b$ , and $c$ to find the value of this expression.

$-4 | a + b - c|$

$-4 | 3 + (-2) - (-6)|$

We know that <em>two negatives make a positive. </em>This means that $-2 - (-6)$ will be the same this as $-2+6$

$-4 | 3 + -2 + 6|$

Adding a negative is the same as subtracting a positive.

$\4 | 3-2+6|\\\\3-2+6 = 7$

$-4 \cdot 7 = -28$

Hope this helped!

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3 years ago

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Complete the table.<br><br> table<br> Distances:

Sever21 [200]

Answer:79

Step-by-step explanation:78: I love the noise

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3 years ago

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Question 1 of 29

Zina [86]

The characteristic of the repeating shapes in a tessellation is that shapes cannot have spaces between them.

<h3>What is tessellation ?</h3>

When we talk about tessellation, our minds go to a situation in which many shapes especially polygons are packed together without spaces between them.

Thus, the characteristic of the repeating shapes in a tessellation is that shapes cannot have spaces between them.

Learn more about tessellation: brainly.com/question/3294818

#SPJ1

8 0

1 year ago