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3 years ago

What Is the slope of the line on the graph?

Mathematics

2 answers:

vekshin13 years ago

4 0

Answer:

1/2

Step-by-step explanation: its 4 but dissects at 2 which creates a half

sashaice [31]3 years ago

3 0

Answer:

1/2

Step-by-step explanation:

To find out this problem, you do rise over run to find the slope. First choose two points that are directly sitting on a line. I used (-2,1) and (0,2). Then count the rise, up 1, then the run, over two and that's how you get your answer. :)

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Simplest form of 3/4+1/12

tekilochka [14]

Answer:

5/6

Step-by-step explanation:

7 0

2 years ago

Vitamin D, whether ingested as a dietary supplement or produced naturally when sunlight falls on the skin, is essential for stro

tigry1 [53]

Answer:

a) The 98% confidence interval would be given (0.182;0.218).

b) We are 98% confident that the true proportion of of England people who are deficient in Vitamin D is between 0.182 and 0.218.

c) If repeated samples were taken and the 98% confidence interval computed for each sample, 98% of the intervals would contain the population proportion.

d) Yes since the confidence interval not contains the value 0.25, we can refute the claim at 2% of significance.

Step-by-step explanation:

Data given and notation

n=2700 represent the random sample taken

X represent the people in England who are deficient in Vitamin D

$\hat p=0.2$ estimated proportion of England people who are deficient in Vitamin D

$\alpha=0.02$ represent the significance level

Confidence =0.98 or 98%

z would represent the statistic (variable of interest)

p= population proportion of England people who are deficient in Vitamin D

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 98% confidence interval the value of $\alpha=1-0.98=0.02$ and $\alpha/2=0.01$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.33$

And replacing into the confidence interval formula we got:

$0.20 - 2.33 \sqrt{\frac{0.2(1-0.2)}{2700}}=0.182$

$0.20 + 2.33 \sqrt{\frac{0.2(1-0.2)}{2700}}=0.218$

And the 98% confidence interval would be given (0.182;0.218).

Part b

We are 98% confident that the true proportion of of England people who are deficient in Vitamin D is between 0.182 and 0.218.

Part c

If repeated samples were taken and the 98% confidence interval computed for each sample, 98% of the intervals would contain the population proportion.

Part d

Yes since the confidence interval not contains the value 0.25, we can refute the claim at 2% of significance.

3 0

3 years ago

Assume that y varies inversely with x. If y=1/3 when x=1/2, find y when x=1/4.

LenKa [72]

Answer:

y = $\frac{2}{3}$

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition y = $\frac{1}{3}$ when x = $\frac{1}{2}$ , thus

$\frac{1}{3}$ = $\frac{k}{\frac{1}{2} }$ = 2k ( divide both sides by 2 )

k = $\frac{1}{6}$

y = $\frac{1}{6x}$ ← equation of variation

When x = $\frac{1}{4}$ , then

y = $\frac{1}{6(\frac{1}{4}) }$ = $\frac{1}{\frac{3}{2} }$ = $\frac{2}{3}$

3 0

3 years ago

The ratio of boys to girls at a day care center is 5 to 4. which of the following cannot be the total number of children at the

EastWind [94]

C: 60 children because 60 cannont go into 9 which is the amount of children in the first ratio

7 0

3 years ago

What is our number system called

Len [333]

Step-by-step explanation:

Decimal system, also called Hindu-Arabic number system or Arabic number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

3 0

3 years ago