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Mariana [72]
3 years ago
9

If the arc on a particular circle has a length of 3 units, and the degree measure of the arc is 30o, which is the circumference

of the circle?
i got 12 but i am not sure if i did it right
Mathematics
1 answer:
lord [1]3 years ago
3 0
The answer is not 12.

The ratio of the arc to the angle equals the ratio of the circumference to 360°.

Then 3/30° = circumferece / 360°

3/30 = x / 360 => x = 360 * 3/30 = 36 units.

Answer: 36 units
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In a diagram, X is the midpoint of Segment VZ. VW =5, and VY =20. Find the coordinates of W,X, and Y.
guapka [62]

solution:

x(a_{x},b_{x})is midpoint of vz\\
a_{x}=\frac{a_{v}+a_{z}}{2}=\frac{-12+22}{2}=\frac{10}{2}=5\\
b_{x}=\frac{b_{v}+b_{z}}{2}=\frac{0+0}{2}=0\\
and,\\
x(5,0)\\
w(a_{w},b_{w}),v_{w} and w is on the right of v.\\
a_{w}-a_{v}=5\\
a_{w}-(-12)=5\\
a_{w}+12=5\\
a_{w}=5-12=-7\\
w(-7,0)\\
y(a_{y},b_{y})=20 and y is on the right of v.\\
a_{y}-a_{v}=20\\
a_{y}-(-12)=20\\
a_{y}+12=20\\
a_{y}=20-12=8\\
y=(8,0)

7 0
3 years ago
In the Salk vaccine field trial, 400,000 children were part of a randomized controlled double-blind experiment. Just about half
EastWind [94]

Answer:

Step-by-step explanation:

From the given information:

The number of children that were randomly allocated to each vaccination group; n₁ = 200,000

No of polio cases X₁ = 57

Now, in the vaccine group:

the proportion of polio cases is:

\hat p_1 = \dfrac{57}{200000}

=  0.000285

The number of children that were randomly allocated to the placebo group, n₂ = 200,000

No of polio cases X₂ = 142

In the placebo group

the proportion of polio cases is:

\hat p_2 = \dfrac{142}{200000}

Null and alternative hypothesis is computed as follows:

H₀: There is no difference in the proportions of polio cases between both groups.  

H₁: There is a difference in the proportions of polio cases between both groups.

Let assume that the level of significance ∝ = 0.05

The test statistic  can be computed as:

Z = \dfrac{\hat p_1-\hat p_2}{\sqrt{\dfrac{\hat p_1 \hat q_1}{n_1}+ \dfrac{\hat p_2 \hat q_2}{n_2}}}

Z = \dfrac{0.000285-0.000710}{\sqrt{\dfrac{0.000285(1-0.000285)}{200000}+ \dfrac{0.000710(1-0.000710)}{200000}}}

Z = \dfrac{-4.25\times 10^{-4}}{\sqrt{\dfrac{0.000285(0.999715)}{200000}+ \dfrac{0.000710(0.99929)}{200000}}}

Z = - 6.03

P-value =  2P(Z < -6.03)

From the Z - tables

P-value =  2 × 0.0000

= 0.000

We reject the H₀ provided that P-value is very less.

Therefore, we may conclude that there is a difference in the proportions of polio cases between the vaccine group and placebo group not due to chance.

7 0
2 years ago
I think of a number multiply it by two subtract 5 and multiply the result by 3
Semmy [17]

Answer:

=)

Step-by-step explanation:

You could do 40 x 2 = 80 - 5 = 75 x 3 = 225

So if this is right, The answer would be 225

7 0
2 years ago
What divided by 6 equals 5?
charle [14.2K]
30
Multiply 6 by5
Now try divide that answer by 6 
:)
7 0
2 years ago
Jerry took a sample of 4 employees in his office and observed how many hours they each worked one day.
Illusion [34]

The error in Jerry's calculation is 4.84

The number of employees, N = 4

The mean is calculated as:

\mu = \frac{10+2+4+8}{4} \\\mu = \frac{24}{4} \\\mu = 6

The formula for the standard deviation is:

SD =\sqrt{\frac{\sum{(x-\mu)^2}}{N} }

This can be further calculated as:

SD = \sqrt{\frac{(10-6)^2+(2-6)^2+(4-6)^2+(8-6)^2}{4} }\\\\SD = \sqrt{\frac{4^2+(-4)^2+(-2)^2+(2)^2}{4} } \\\\SD = \sqrt{\frac{16+16+4+4}{4} } \\\\SD = \sqrt{\frac{40}{4} } \\\\SD = \sqrt{10} \\\\SD = 3.16

Jerry thinks the Standard Deviation = 8

The true Standard Deviation = 3.16

Error = |True value - Measured value|

Error = |3.16 - 8|

Error = 4.84

Learn more here: brainly.com/question/18562832

3 0
2 years ago
Read 2 more answers
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