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3 years ago

Plzzzzzzzzzz I need help!

Mathematics

1 answer:

Natali [406]3 years ago

6 0

Hey!!

here is your answer >>>

As we know, The formula for the length of a trinagle is

(1/2)(base)(height) !.

Height is 6/5 and area is 2/5, then what is the base, we will just have to substitute these values!.

which is ,

2/5 = (1/2)(base)(6/5)

2/5 = (base)(3/5)

base = (2/5)/(3/5)

base = (2/5)(5/3)

base = 2/3 ft!.

Hope my answer helps!

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Three cards are drawn from a standard deck of 52 cards without replacement. Find the probability that the first card is an ace,

MrRissso [65]

Answer:

$4.82\cdot 10^{-4}$

Step-by-step explanation:

In a deck of cart, we have:

a = 4 (aces)

t = 4 (three)

j = 4 (jacks)

And the total number of cards in the deck is

n = 52

So, the probability of drawing an ace as first cart is:

$p(a)=\frac{a}{n}=\frac{4}{52}=\frac{1}{13}=0.0769$

At the second drawing, the ace is not replaced within the deck. So the number of cards left in the deck is

$n-1=51$

Therefore, the probability of drawing a three at the 2nd draw is

$p(t)=\frac{t}{n-1}=\frac{4}{51}=0.0784$

Then, at the third draw, the previous 2 cards are not replaced, so there are now

$n-2=50$

cards in the deck. So, the probability of drawing a jack is

$p(j)=\frac{j}{n-2}=\frac{4}{50}=0.08$

Therefore, the total probability of drawing an ace, a three and then a jack is:

$p(atj)=p(a)\cdot p(j) \cdot p(t)=0.0769\cdot 0.0784 \cdot 0.08 =4.82\cdot 10^{-4}$

4 0

3 years ago

Is a positive integer raised to a negative power always positive

Evgesh-ka [11]

Answer:

Yes

Step-by-step explanation:

Many students gets confused with these exponential problems, they often get misguided but understand that there is nothing to be confused of.

When you have a negative number, you just take the reciprocal of the whole exponent number.

What is a reciprocal?

Let's take an integer for example, let's take the number 3.

The reciprocal for 3 is (1/3)

Let's take an other number, let's take 2/3

The reciprocal for 2/3 is (3/2)

In conclusion, we just reverse the denominator and the numerator or just switch it.

We take 3 as (3/1) and that is the reason, the reciprocal would be (1/3)

Now, coming to the negative integers. Taking an example:

(2)⁻¹

This would be become (1/2¹) = (1/2)

Hence, the result of a negative integer is positive but would be a fraction.

Hope I helped!

3 0

3 years ago

Which equation is y = 2x2 – 8x + 9 rewritten in vertex form?

pishuonlain [190]

we have

$y=2x^{2} -8x+9$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$y-9=2x^{2} -8x$

Factor the leading coefficient

$y-9=2(x^{2} -4x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$y-9+8=2(x^{2} -4x+4)$

$y-1=2(x^{2} -4x+4)$

Rewrite as perfect squares

$y-1=2(x-2)^{2}$

$y=2(x-2)^{2} +1$ -----> equation in vertex form

therefore

the answer is the option C

$y=2(x-2)^{2} +1$

3 0

3 years ago

Read 2 more answers

The seventh grade wants to break last year's record of 78 coats collected for the annual clothing drive. They have already colle

e-lub [12.9K]

Answer:

78=c-13

c=65

____________________

13 65 78

3 0

3 years ago

10 x 12 – 14 + 2 + 15 =

kolbaska11 [484]

Answer:

Your answer of 10 x 12 - 14 +2+15 =123

8 0

3 years ago