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Anna007 [38]
3 years ago
11

What is the exact circumference of the circle?

Mathematics
2 answers:
ELEN [110]3 years ago
5 0

circumference of a circle= pi multiplied by the diameter

= 20ft x pi

=20 pi feet so the answer is b

tensa zangetsu [6.8K]3 years ago
3 0
Your answer would be B.)
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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
3 years ago
Help, "If you magnified the images of a fire ant (4 millimeters) by 4×10³ and a tree hopper (6 millimeters) by 3×10³, which inse
gavmur [86]

Answer:

8

Step-by-step explanation:

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7 0
3 years ago
Please help 100 points
emmainna [20.7K]

Answer:

Choices A, C, E

Step-by-step explanation:

The prices are proportional, so divide any price by the corresponding number of pounds to find the unit cost.

$1.47/(3 lb) = $0.49/lb

The unit cost is $0.49 per lb.

Now we look in the choices to see which choice has a unit price of $0.49/lb.

We divide each price by its number of pounds to fund each unit cost. Every choice with a unit cost of $0.49/lb is an answer.

A $0.98/(2 lb) = $0.49/lb     Choice A works

B $4.45/(7 lb) = $0.64/lb      Choice B does not work

C $2.94/(6 lb) = $0.49/lb     Choice C works

D $0.54/(1 lb) = $0.54/lb     Choice D does not work

E $3.92/(8 lb) = $0.49/lb     Choice E works

Answer: Choices A, C, E

6 0
3 years ago
Find two integers whose sum is -5 and product is -36
Maslowich

Answer:

-6 & 6

Step-by-step explanation:

-6 time 6 is -36

5 0
2 years ago
Read 2 more answers
Your bag of rice says to mix 1 cup of rice with 2 cups of water. dela requ prov a. What is the ratio of rice to water? refer to
EastWind [94]

Answer:

(a) 1:2

(b) 6 cups

(c) \dfrac{2}{3}

Step-by-step explanation:

(a) Given,

amount of rice mixture contains= 1 cup

amount of water mixture contains= 2 cups

\textrm{So, the ratio of rice to water}\ =\ \dfrac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}

                                                              =\ \dfrac{1}{2}

So, the ratio of rice to water is 1:2.

(b) Amount of rice in mixture = 3 cups

\textrm{So, the ratio of rice to water}\ =\ \dfrac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}

                      =>\ \dfrac{1}{2}\ =\ \dfrac{3}{\textrm{amount of water in mixture}}

                       => amount of water in mixture = 3 x 2

                                                                          = 6 cups

(c) \textrm{amount of rice in mixture}\ =\dfrac{1}{3}

 \textrm{So, the ratio of rice to water}\ =\ \dfrac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}

   =>\ \dfrac{1}{2}\ =\ \dfrac{\dfrac{1}{3}}{\textrm{amount of water in mixture}}

  =>\textrm{amount of water in mixture}\ =\ \dfrac{2}{3}

So, the amount of water in the mixture will be \dfrac{2}{3} cup.

7 0
3 years ago
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