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3 years ago

15

What information do you need in order to determine the total distance Sam drives versus the actual displacement between his star

ting and ending points?

1 answer:

Alenkinab [10]3 years ago

5 0

Answer:

his path

Step-by-step explanation:

In order to determine the total distance driven from one place to another, you need to know the path taken.

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Find the exponential function that satisfies the given conditions: Initial value = 64, decreasing at a rate of 0.5% per week

mrs_skeptik [129]

Answer:

Step-by-step explanation:

An exponential function is of the form

$y=ab^x$

where a is the initial value and b is the growth/decay rate. Our initial value is 64. That's easy to plug in. It goes in for a. So the first choice is out. Considering b now...

If the rate is decreasing at .5% per week, this means it still retains a rate of

100% - .5% = 99.5%

which is .995 in decimal form.

b is a rate of decay when it is greater than 0 but less than 1; b is a growth rate when it is greater than 1. .995 is less than 1 so it is a rate of decay. The exponential function is, in terms of t,

$f(t) = 64(.995)^t$

4 0

3 years ago

Solve the system of equations.<br><br> 14x + y = −4<br><br> y = 3x^2 − 11x − 4

sveta [45]

You can use substitution here. First, get y alone:

14x + y = -4
subtract 14x from each side
y = -4 - 14x

Then, plug y into the second equation

-4 - 14x = 3x² - 11x - 4
then solve from there

Hope this helps :)

4 0

3 years ago

HELP ASAP will mark brainliest for the first to answer and get it correct

stiks02 [169]

Answer:

B. subtraction property of inequality

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Mia is babysitting and has $40 to give to the 5 kiddos for snacks at the movie theater. How much money will each of the children

Tcecarenko [31]

Answer:

Each child would get $8.00.

Step-by-step explanation:

An equation to represent this would be:

40/5

When you divide 40 by 5, you get 8 which results in the children each getting $8.00

6 0

3 years ago

Read 2 more answers

A simple random sample of size nequals10 is obtained from a population with muequals68 and sigmaequals15. (a) What must be true

valentina_108 [34]

Answer:

(a) The distribution of the sample mean ( $\bar x$ ) is <em>N</em> (68, 4.74²).

(b) The value of $P(\bar X$ is 0.7642.

(c) The value of $P(\bar X\geq 69.1)$ is 0.3670.

Step-by-step explanation:

A random sample of size <em>n</em> = 10 is selected from a population.

Let the population be made up of the random variable <em>X</em>.

The mean and standard deviation of <em>X</em> are:

$\mu=68\\\sigma=15$

(a)

According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and we take appropriately huge random samples (<em>n</em> ≥ 30) from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

Since the sample selected is not large, i.e. <em>n</em> = 10 < 30, for the distribution of the sample mean will be approximately normally distributed, the population from which the sample is selected must be normally distributed.

Then, the mean of the distribution of the sample mean is given by,

$\mu_{\bar x}=\mu=68$

And the standard deviation of the distribution of the sample mean is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{15}{\sqrt{10}}=4.74$

Thus, the distribution of the sample mean ( $\bar x$ ) is <em>N</em> (68, 4.74²).

(b)

Compute the value of $P(\bar X$ as follows:

$P(\bar X$

$=P(Z$

*Use a <em>z</em>-table for the probability.

Thus, the value of $P(\bar X$ is 0.7642.

(c)

Compute the value of $P(\bar X\geq 69.1)$ as follows:

Apply continuity correction as follows:

$P(\bar X\geq 69.1)=P(\bar X> 69.1+0.5)$

$=P(\bar X>69.6)$

$=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{69.6-68}{4.74})$

$=P(Z>0.34)\\=1-P(Z$

Thus, the value of $P(\bar X\geq 69.1)$ is 0.3670.

7 0

3 years ago