When would you use a negative number to describe a real-world amount?

You have been advised to save 5% of your income for an emergency fund. How much would you have saved in one year, following the

Inessa [10]

You would save $2447.40 for the emergency fund

6 0

4 years ago

Find the 89th term of the arithmetic sequence 25, 35, 45, ...

Eddi Din [679]

Answer:

905

Step-by-step explanation:

arithmetic sequence are in form

a(n)=a(0)+d(n-1)

a(0)=25

common difference: d=35-25=10

a(n)=25+10(n-1)

a(89)=25+10(88)=905

8 0

3 years ago

What is 2x?=29 can anyone help me.

Marysya12 [62]

14.5 hope this helped

7 0

4 years ago

Read 2 more answers

Sonja plays tennis and started a tournament with 43 aces on the season. The graph relates her total season aces with the number

Pani-rosa [81]

<h2>Answer</h2>

$-6x+y=43$

<h2>Explanation</h2>

The first thing we need to do is find the slope of our line. To do it we are using the slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

where

$m$ is the slope of the line

$(x_{1},y_{1})$ are the coordinates of the first point on the line

$(x_{2},y_{2})$ are the coordinates of the second point

From our graph we can get the points (0, 43) and (2, 55), so $x_{1}=0$ , $y_{1}=43$ , $x_{2}=2$ , and $y_{2}=55$ . Let's replace the values in our slope formula:

$m=\frac{55-43}{2}$

$m=\frac{12}{2}$

$m=6$

Now that we have our slope, we can use the point-slope formula:

$y-y_{1}=m(x-x_{1})$

$y-43=6(x-0)$

$y-43=6x$

But remember that the equation of a line in standard form is $Ax+Ay=C$ , so we need to subtract $6x$ and add 43 to both sides of our point slope equation:

$y-43=6x$

$-6x+y-43+43=6x-6x+43$

$-6x+y=43$

We can conclude that the equation in standard form that represent the relationship in the graph is $-6x+y=43$ .

3 0

3 years ago

Jean works for the government and was conducting a survey to determine the income levels of a number of different neighborhoods

NikAS [45]

Answer:

0.0418 = 4.18% probability that the average income level in the neighborhoods was less than $38,000.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .