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zheka24 [161]
3 years ago
8

Denise scored 3 fewer points than carter scored. Denise scored 18 points. How many points did Carter score Write an equation to

represent the situation. Then solve the equation to answer the problem.
Mathematics
1 answer:
vladimir2022 [97]3 years ago
8 0
C = d + 3

In this equation, the variable c represent's Carter's score, and the variable d represents Denise's score. Because Denise scored 3 fewer points than Carter, that means that Carter scored 3 more points than Denise. Therefore, d, or Denise's score, is equal to c, or Carter's score, if you add 3. Now, let's substitute in Denise's score of 18.

c = 18 + 3   Substitute
c = 21   Add

Carter's score is 21. If we wanted to check that, we could simply reverse the equation.

d = c - 3   Because Denise scored three fewer points than Carter, his score equals Carter's score minus 3.
d = 21 - 3   Now, let's substitute in the answer we got for Carter's score.
d = 18   Yep! The question says that Denise scored 18 points, so the answer we got is correct.

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-\dfrac{x}{x^2+1}\not =\dfrac{x}{x^2+1} so it's not symmetrical about the origin.

6 0
3 years ago
The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees. If we want to be 90% c
siniylev [52]

Answer:

19 beers must be sampled.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.

This means that \sigma = 0.26

If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?

This is n for which M = 0.1. So

M = z\frac{\sigma}{\sqrt{n}}

0.1 = 1.645\frac{0.26}{\sqrt{n}}

0.1\sqrt{n} = 1.645*0.26

\sqrt{n} = \frac{1.645*0.26}{0.1}

(\sqrt{n})^2 = (\frac{1.645*0.26}{0.1})^2

n = 18.3

Rounding up:

19 beers must be sampled.

7 0
3 years ago
The dress is on sale for 35% off the regular price (w). What expression represents the sale price of the wedding dress?
Aleonysh [2.5K]

Expression that represents the sale price of the wedding dress is s = 0.65w

<em><u>Solution:</u></em>

Given that, the dress is on sale for 35 % off the regular price

Let the regular price of dress be "w"

To find: Expression that represents the sale price of the wedding dress

Let "s" be the sale price of wedding dress

Sale price = Regular price - discount price

<em><u>Discount price is given as:</u></em>

Discount price = 35 % of regular price

Discount price = 35 % of w

\rightarrow 35 \% \times w\\\\\rightarrow \frac{35}{100} \times w\\\\\rightarrow 0.35w

Thus discount price = 0.35w

<em><u>Expression for the sale price of the wedding dress:</u></em>

Sale price = Regular price - discount price

s = w - 0.35w

s = 0.65w

Thus expression that represents the sale price of the wedding dress is s = 0.65w

5 0
3 years ago
9y= 5/7<br> solve as a fraction
Andrej [43]
Divide both sides by 9
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3 0
3 years ago
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The circumference c of a circle is given by the formula c equal 2 pi if the radius of the circle is 10 inches find the circumfer
Maksim231197 [3]

Answer:

62.8 inches

Step-by-step explanation:

c = 2πr

Where,

c = Circumference of a circle

π = pi = 3.14

r = radius = 10 inches

c = 2πr

= 2 × 3.14 × 10

= 62.8 inches

c = 62.8 inches

Therefore,

The circumference of the circle is 62.8 inches

3 0
3 years ago
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