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Angelina_Jolie [31]

3 years ago

7

Player 1 and player 2 are running laps around a field. Player 1 runs 1 lap every 4 minutes, while player 2 runs 1 lap every 15

minutes. If player 1 and player 2 begin their run at the same time and location on the field, in how many minutes will they meet to begin their next lap together?

1 answer:

Nonamiya [84]3 years ago

4 0

Answer:

15 min

Step-by-step explanation:

if it takes Player 1 one min he will meet player two at there second lap after 15 min

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I have a piece of ribbon that is 12 3/5 inches long. If i cut 2/3 -inch sections, how many pieces can i get?

borishaifa [10]

You will have 19 pieces of ribbon

8 0

3 years ago

Select the polynomial that is a perfect square trinomial.

gregori [183]

none of the above

Step-by-step explanation:

36x²-4x+16 = (6x)²- 2*2*x+ 4² this isn't a perfect square trinomial
16x²-8x+36 = (4x)² - 2*4*x+6² this isn't a perfect square trinomial
25x²+9x+4= (5x)²+2* 9/2 *x+ 2² this isn't a perfect trinomial
4x²+20x+25 = (2x)² + 5*4*x+5² this isn't a perfect trinomial square

8 0

4 years ago

How much money do I need now if I am going to recieve $5000 every 6 months (starting in 6 months) for 10 years if the interest r

NikAS [45]

He needs to have $205783 amount of money to receive $5000 every 6 months for 10 years.

<h3>What is Interest ?</h3>

Interest is the amount of money received , when a certain lump sum amount is deposited.

It is given that the person is receiving ,

Interest = $5000 ,

after six months , every six month

Time Period = 10 years

Interest Rate = 4%

Compounded Semiannual

Let the principal amount be $x

Compound Interest is given by

Amount = P[ 1 + r/n]ⁿˣ

Here x is the time period

Therefore the Amount = x{ 1 +0.04/2}²⁰

x + 5000 *20 = x{ 1 +0.04/2}²⁰

x + 100000 = 1.486 x

x = $205783

Therefore he needs to have $205783 amount of money to receive $5000 every 6 months for 10 years.

To know more about Interest

brainly.com/question/13324776

#SPJ1

6 0

2 years ago

Suppose that a wall is constructed from concrete blocks where a block is a normal random variable with mean 11 kg and standard d

Artemon [7]

Answer:

The value for <em>k</em> is about k = 11.093kg.

Step-by-step explanation:

To answer this question, that is, P(x<k) = 0.85, we can use the standardized value for a raw score, or the formula for obtaining z-scores:

$\\ z = \frac{x - \mu}{\sigma}$ [1]

Where

$\\ x$ is the raw score.

$\\ \mu$ is the population mean.

$\\ \sigma$ is the population standard deviation.

In this case, we are asking to find a value x = k, so that 85% of the blocks have weights less than k (kg).

We have also to use the values for the <em>cumulative standard normal distribution</em> with $\\ \mu = 0$ and $\\ \sigma = 1$ to find the value of z that corresponds to a probability of 0.85.

First step: find the z that corresponds to the probability of 0.85.

To use the formula [1], as we previously mentioned, we first need to find the value of <em>z</em> that corresponds to a probability of 0.85 using the <em>cumulative standard normal distribution table</em> (available in any Statistics books or on the Internet). Then, for a cumulative probability of 0.85, the corresponding value for z = 1.03 (approximately).

Second step: solve the formula [1] for x.

Solving this formula for x, we have:

$\\ z = 1.03$

$\\ \mu = 11kg$

$\\ \sigma = 0.09kg$

Then (without units):

$\\ z = \frac{x - \mu}{\sigma}$

$\\ 1.03 = \frac{x - 11}{0.09}$

$\\ 1.03*0.09 = x - 11$

$\\ (1.03*0.09) + 11 = x$

So

$\\ x = (1.03*0.09) + 11$

$\\ x = 0.0927 + 11$

$\\ x = 11.0927 \approx 11.093 = k$

Thus, this value for x = 11.093 equals the value for k (x = k) so that

$\\ P(x$

Then

$\\ P(x$ or

$\\ P(x$

We can see the graph below showing this value of k = 11.093kg for which 85% of the blocks have weights less that it (x = k = 11.093kg).

4 0

3 years ago

The set notation of [-5,16) is?

valentina_108 [34]

Answer: $\left\{x | x \in \mathbb{R}, \ -5 \le x < 16\right\}$

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

Explanation:

We have some number x such that x is a real number, so we write that as $x \in \mathbb{R}$ which is saying "x is in the real number set".

The portion $-5 \le x < 16$ is how x is restricted. This means x can be -5 or larger, but also must be smaller than 16.

This is from the interval notation [-5, 16). The square bracket means we include -5 as part of the interval, but we exclude 16 because of the curved parenthesis.

The curly braces surrounding everything indicates that we have a set of values.

-----------------

Side note:

If x is an integer, then we can get this roster set {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} showing all of the integers between -5 and 16, including -5 but excluding 16.

Though chances are your teacher will want you to stick to real numbers rather than just integers.

4 0

4 years ago