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erastova [34]
3 years ago
10

Substitution with negative numbers Evaluate 2 – (-4) + (-y) where y = 7. Stuck? Watch a video or use a hint.​

Mathematics
2 answers:
lina2011 [118]3 years ago
5 0

Answer:

1

Step-by-step explanation:

Zolol [24]3 years ago
3 0

Answer:

-1

Step-by-step explanation:

2 - (-4) + (-y)

plug in 7 as y

2 - (-4) + (-7)

so you start with the first addition/subtraction (PEMDAS)

also the negative is distributed to the -4 make it positive, a negative and a negative equals a positive, therefore positive 4

2 - (-4) = 6

or

2 + 4 = 6

then... the equation reads

6 + (-7) = -1

*becareful -7 is "more than/ more negative than" 6 making the answer a negative

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{(4z-7,z-4,z) |z is any real number} z=-5
weeeeeb [17]

The set when z = -5 is {-27, -9, -5}

<h3>How to determine the set elements?</h3>

The set is given as:

{(4z-7,z-4,z) |z is any real number}

When z=-5, we have:

4z - 7 = 4(-5) - 7 = -27

z - 4 = -5 - 4 = -9

z = -5

So, we have:

{(4z-7,z-4,z) |z is any real number} ⇒ {-27, -9, -5}

Hence, the set when z = -5 is {-27, -9, -5}

Read more about sets at:

brainly.com/question/8053622

#SPJ1

4 0
3 years ago
The serving size for the granola that Wilma likes to eat for breakfast is 1/2 cup. How many servings are there in a box that hol
olchik [2.2K]
The answer Is 64

Hope this helps
3 0
4 years ago
Read 2 more answers
I need help with questions 3 and 4
nlexa [21]

Step-by-step explanation:

3)

7billion = 5 {e}^{15r} \\ 1.4billion =  {e}^{15r}  \\ ln(1.4 \: billion) = 15r \\ 21.0597 = 15r \\ r = 1.404

4) \\  t = 0  \: y= 200 \\200 = a {e}^{0}  \\ a = 200 \\ 800 = 200 {e}^{8k}  \\ 4 =  {e}^{8k}  \\ ln(4) = 8k \\ k = 0.1733

6 0
2 years ago
6x-10y=-8<br> determine if parallel
Murljashka [212]

Answer: Slope = 1.200/2.000 = 0.600

 x-intercept = -4/3 = -1.33333

 y-intercept = 4/5 = 0.80000

Step-by-step explanation: 6x−10y=−8

Step 1: Add 10y to both sides.

6x−10y+10y=−8+10y

6x=10y−8

Step 2: Divide both sides by 6.

6x/6=10y-8/6

x=5/3y+-4/3

Slope = 1.200/2.000 = 0.600

 x-intercept = -4/3 = -1.33333

 y-intercept = 4/5 = 0.80000

5 0
3 years ago
In a random sample of 25 ​people, the mean commute time to work was 33.9 minutes and the standard deviation was 7.2 minutes. Ass
Phoenix [80]

Answer:

33.9-1.32\frac{7.2}{\sqrt{25}}=31.999    

33.9+1.32\frac{7.2}{\sqrt{25}}=35.801    

So on this case the 80% confidence interval would be given by (31.999;35.801)

And the margin of error is given by:

ME = t_{\alpha/2}\frac{s}{\sqrt{n}}

And replacing we got:

ME = 1.32\frac{7.2}{\sqrt{25}} =1.9008

Step-by-step explanation:

Previous concepts

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".

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".

\bar X=33.9 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=7.2 represent the sample standard deviation

n=25 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=25-1=24

Since the Confidence is 0.80 or 80%, the value of \alpha=0.2 and \alpha/2 =0.1, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.01,24)".And we see that t_{\alpha/2}=1.32

Now we have everything in order to replace into formula (1):

33.9-1.32\frac{7.2}{\sqrt{25}}=31.999    

33.9+1.32\frac{7.2}{\sqrt{25}}=35.801    

So on this case the 80% confidence interval would be given by (31.999;35.801)

And the margin of error is given by:

ME = t_{\alpha/2}\frac{s}{\sqrt{n}}

And replacing we got:

ME = 1.32\frac{7.2}{\sqrt{25}} =1.9008

   

7 0
4 years ago
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