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Studentka2010 [4]
4 years ago
11

If ∠G ≅ ∠H, then ∠H ≅ ∠G. name the property

Mathematics
1 answer:
Andrei [34K]4 years ago
6 0

Answer:

Property of Symmetry

Step-by-step explanation:

The symmetric property of equality tells us that both sides of an equal sign are equal no matter which side of the equal sign they are on. Remember it states that if x = y, then y = x.

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Order this from least to greatest and get some free dank memes<br><br> 46/7, 6.64, √44, -√45
Alla [95]
46/7= 6.57
6.64= 6.64
√44<span>= 6.633
</span>-√45=<span>-6.70
least to great would be </span>-√45,  46/7, <span>√44, 6.64</span>
3 0
4 years ago
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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
Only answer for question b simple answer.
Vilka [71]
210 is the height of the new player.
3 0
3 years ago
The following list gives the number of public libraries in each of 14 cities.
Yuri [45]

Given:

The date set for the number of public libraries in each of 14 cities is:

4, 5, 4, 6, 5, 6, 5, 8, 5, 4, 6, 6, 7, 4

To find:

The modes of this data set.

Solution:

We know that, the mode of a data is the most frequent value of data set.

Arrange the given data in ascending order.

4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 8

In the given data set,

Frequency of 4 = 4

Frequency of 5 = 4

Frequency of 6 = 4

Frequency of 7 = 1

Frequency of 8 = 1

Clearly, the data values 4, 5, 6 have the largest frequency, i.e., 4.

Therefore, the modes of the given data set are 4, 5, 6.

6 0
3 years ago
Pleaseeee! <br>I need help evaluating this:<br><br><br>Tan 2 theta-(1-tan^ 2 )=?​
andreev551 [17]

Answer:

\tan \left(2\theta\right)-1+\tan ^2\left(\theta\right)

Key:

• -\left(a-b\right)=-a+b

Step-by-step explanation:

\tan \left(2\theta\right)-\left(1-\tan ^2\left(\theta\right)\right)

-\left(1-\tan ^2\left(\theta\right)\right)=-1+\tan ^2\left(\theta\right)

=\tan \left(2\theta\right)-1+\tan ^2\left(\theta\right)

7 0
2 years ago
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