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2 years ago

6

One day, a person went to a horse racing area. Instead of counting the number of humans an horses, he counted 74 heads and 196 l

egs. How many humans and horses were there?

2 answers:

Mariana [72]2 years ago

7 0

There are 50 people and 24 horses

gizmo_the_mogwai [7]2 years ago

3 0

I hope this helps you

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On a coordinate plane, a square has points A (negative 5, 2), B (1, 2), C (negative 4, 1), and D (negative 5, negative 4).

Mars2501 [29]

Answer:

-6

Step-by-step explanation: dont know, did math. this is the answer on edge

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2 years ago

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Evaluate the integral ∫2−1|x−1|dx

defon

I think you might be referring to the definite integral,

$\displaystyle \int_{-1}^2|x-1|\,\mathrm dx$

Recall the definition of absolute value:

$|x| = \begin{cases}x&\text{if }x\ge0\\-x&\text{if }x$

Then $|x-1|=x-1$ if $x\ge1$ , and $|x-1|=1-x$ is $x$ . So spliting up the integral at <em>x</em> = 1, we have

$\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \int_{-1}^1(1-x)\,\mathrm dx + \int_1^2(x-1)\,\mathrm dx$

The rest is simple:

$\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \left(x-\dfrac{x^2}2\right)\bigg|_{-1}^1 + \left(\dfrac{x^2}2-x\right)\bigg|_1^2 \\\\ = \left(\left(1-\frac12\right)-\left(-1-\frac12\right)\right) + \left(\left(2-2\right)-\left(\frac12-1\right)\right) \\\\ = \boxed{\frac52}$

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2 years ago

Mary is rolling a standard six-sided die and spinning on a spinner with the number 1-8.

Readme [11.4K]

Answer:

a) Dice and spinner are different objects, with no relation between themselves, and thus her dice rolls and spinning outcomes are independent.

b) $\frac{1}{48}$ probability of her rolling a 4 and spinning an 8.

c) $\frac{1}{8}$ probability of her rolling an even number and spinning a number less than 3.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

A) Are her dice rolls and spinning outcomes independent or dependent?

Dice and spinner are different objects, with no relation between themselves, and thus her dice rolls and spinning outcomes are independent.

B) What is the probability of her rolling a 4 and spinning an 8?

Since the events are independent, we find each separate probability and multiply them.

Probability of rolling a 4:

One side out of 6 on the dice. So

$P(A) = \frac{1}{6}$

Probability of spinning an 8:

One side out of 8 on the spinner. So

$P(B) = \frac{1}{8}$

Probability of rolling a 4 and spinning an 8:

$P(A \cap B) = P(A)P(B) = \frac{1}{6} \times \frac{1}{8} = \frac{1}{48}$

$\frac{1}{48}$ probability of her rolling a 4 and spinning an 8.

C) What is the probability of her rolling an even number and spinning a number less than 3?

Since the events are independent, we find each separate probability and multiply them.

Probability of rolling an even number:

2, 4 or 6(3 sides out of 6). So

$P(A) = \frac{3}{6} = \frac{1}{2}$

Probability of spinning a number less than 3:

Two numbers(1 or 2) out of 8 on the spinner. So

$P(B) = \frac{2}{8} = \frac{1}{4}$

Probability of rolling an even number and spinning a number less than 3:

$P(A \cap B) = P(A)P(B) = \frac{1}{2} \times \frac{1}{4} = \frac{1}{8}$

$\frac{1}{8}$ probability of her rolling an even number and spinning a number less than 3.

8 0

1 year ago

Use the Square Root Method to solve for "X".<br><br>x^2 = 36

Sphinxa [80]

Answer:

take square root of both sides. √x^2 = x √36= 6

Step-by-step explanation:

x=6

5 0

2 years ago

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Pls help ASAP! I will mark the brainliest (IF I GET IT RIGHT)

Gelneren [198K]

Answer:

V=288π

288*3.14=904.32

Step-by-step explanation:

V=4/3π $(6)^{3}$

V=4/3π 216

V=4π72

V=288π

288*3.14=904.32

4 0

2 years ago