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sergeinik [125]
3 years ago
15

Hilary is given the pattern 2, 4, 6, 8, 10,... on her test. She has to find the 50th term of the pattern. To do so she needs to

describe the pattern either with words, a recursive formula, or an explicit formula. Which would be the best? Make sure you also explain why the forms you do not choose are not good representations.
Mathematics
2 answers:
kolbaska11 [484]3 years ago
5 0

Answer:

50 Term =100

Step-by-step explanation:

Because term to term rule is 2

Therefore 2x50=100

RideAnS [48]3 years ago
5 0

Answer:

The 50th number would be 100.

Step-by-step explanation:

The rule is going up by 2. So, 2 times 50 is 100. I hope this helps!

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The length of a rectangle is twice its width. The perimeter of the rectangle is 126ft.
umka21 [38]
Alright, so let's make the length x and the width y. 2y=x, and xy=area. 2x+2y=perimeter. Plugging 2y=x into the perimeter equation, we get that 3x=perimeter=126, and x=126/3=42

Length=42ft, width=21ft
8 0
3 years ago
10 Which equation matches the graph? Oy= x y -5 y= 2x O y= 7 7 x -10 5 10 y= 3x -5 -10​
kvv77 [185]

Answer:

y=2x

Step-by-step explanation:

slope = rise/run = 2/1 = 2

8 0
3 years ago
Pablo mixes three units white paint and one unit of black paint to make gray paint. What two equations show the relationship bet
svet-max [94.6K]
It’s b and when you put w to egbert
8 0
3 years ago
A Pew Internet poll asked cell phone owners about how they used their cell phones. One question asked whether or not during the
EastWind [94]

Answer:

a) \hat p=\frac{471}{1024}=0.460

The standard error is given by:

SE= \sqrt{\frac{\hat p(1-\hat p)}{n}}=\sqrt{\frac{0.460(1-0.460)}{1024}}=0.0156

And the margin of error is given by:

ME=z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}=1.96\sqrt{\frac{0.460(1-0.460)}{1024}}=0.0305

b) The 99% confidence interval would be given by (0.429;0.491)

Step-by-step explanation:

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Data given and notation  

n=1024 represent the random sample taken    

X=471 represent the people responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering

\hat p=\frac{471}{1024}=0.460 estimated proportion of people responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering    

p= population proportion of people responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering

Part a

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.96

The standard error is given by:

SE= \sqrt{\frac{\hat p(1-\hat p)}{n}}=\sqrt{\frac{0.460(1-0.460)}{1024}}=0.0156

And the margin of error is given by:

ME=z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}=1.96\sqrt{\frac{0.460(1-0.460)}{1024}}=0.0305

Part b

If we replace the values obtained we got:

0.460-1.96\sqrt{\frac{0.460(1-0.460)}{1024}}=0.429

0.460+1.96\sqrt{\frac{0.460(1-0.460)}{1024}}=0.491

The 99% confidence interval would be given by (0.429;0.491)

8 0
3 years ago
Plz help!
GuDViN [60]

Answer:

5x - y = 27

Step-by-step explanation:

Slope is the direction of line and it is calculated as,

Slope = \frac{y-y_{1}}{x-x_{1}}


where (x₁, y₁) is any two points on the line.

Here, we have given that

Slope = 5  and (x₁, y₁) = (5, -2)

∴  5 = \frac{y-(-2)}{x-5}


⇒ 5(x - 5) = y + 2

⇒ 5x - 25 = y + 2

⇒ 5x - y = 27

Hence, the equation of a line is: 5x - y = 27

5 0
3 years ago
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