What is the value of a?

In January. The temperature in Fargo, North Dakota is -2 F. On the same day, the temperature in Cheyenne, Wyoming was 1 F. Write

zaharov [31]

Answer:

(a) $1 > -2$ or $-2 < 1$

(b) $2 > 1$ or $1 < 2$

Step-by-step explanation:

Given

$N = -2F$ --- North Dakota

$C = 1F$ --- Cheyenne, Wyoming

Solving (a): Inequality to compare both temperatures

From the given temperatures, we can conclude that:

$C > N$ or $N < C$

Because

$1 > -2$ i.e. 1 is greater than -2

or

$-2 < 1$ i.e. -2 is less than 1

Solving (b): Inequality to compare the absolute values of the temperatures

We have:

$N = -2F$

$C = 1F$

The absolute values are:

$|N| = |-2|$

$|N| =2$

$|C| = |1|$

$|C| = 1$

By comparison:

$|N| > |C|$ or $|C| < |N|$

Because

$2 > 1$ i.e. 2 is greater than 1

or

$1 < 2$ i.e. 1 is less than 2

4 0

3 years ago

the ratio of girls to boys on a soccer team is 2 to 3.if there are 25 players on the team,how many are girls

Lemur [1.5K]

$2x-\ girls\\\\
3x-\ boys\\\\
2x+3x=25\\\\
5x=25\ \ \ | divide\ by\ 5\\\\
x=5\\\\
2x=2*5=10\\\\
There\ are\ 10\ girls.$

3 0

4 years ago

Read 2 more answers

Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us

grigory [225]

Answer:

The confidence interval on this case is given by:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

$\bar X = \frac{62.532+76.478}{2}= 69.505$

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma$ represent the population standard deviation

n represent the sample size

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma)$

The confidence interval on this case is given by:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

$\bar X = \frac{62.532+76.478}{2}= 69.505$

So then the mean for this case is 69.505

5 0

3 years ago

If the clue is 2, the magic number is 2.

Nadusha1986 [10]

The answer is stop writing so much questions by writing close 44 in the magic number coolest 41 and 3230 2122 to 2 and six I hope this helps

4 0

3 years ago

Urgent please help .On a piece of graph paper, graph y+2<-2/3x+4

Serjik [45]

Take a look at the function $y+2=- \frac{2}{3}x+4$ . You can simplify it to $y=- \frac{2}{3}x+2$ . If x=0, then y=2 and when y=0, x=3. You obtain two points (0,2) and (3,0) that lie on the line $y+2=- \frac{2}{3}x+4$ .

Since $y+2\le - \frac{2}{3}x+4$ , the line $y+2=- \frac{2}{3}x+4$ should belong to the shaded area.

Now take point (0,0). Since $0+2\le- \frac{2}{3}\cdot 0+4$ , you can conclude that point (0,0) belongs to the shaded area.Using all these thoughts, you can make a conclusion that the correct choice is B.

8 0

3 years ago