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fomenos
1 year ago
12

R,s and t are the vectors given by 4i+j,3i+2j and 4i +j respectively.find [r+s+t]

Mathematics
1 answer:
luda_lava [24]1 year ago
6 0

Answer:

11i+4j

Step-by-step explanation:

add the i's together and the j's together.

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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
2 years ago
Which properties are used in each step?
Sergio [31]

Answer:

associative i beleve

Step-by-step explanation:

8 0
3 years ago
Kala is building a fence around her garden. For every 4 feet of fencing. the cost is 36$ . Complete the table below showing the
ExtremeBDS [4]

Answer:

Length of fencing: 4, 6, 7, 9, 10

Cost: 36, 54, 63, 81, 90

4 0
3 years ago
if the recommended daily allowance for vitamin c is 60 mg per day and there are 70 mg of vitamin C per 100 g orange, how many 3.
noname [10]

Answer: 7

Step-by-step explanation:

Given : The recommended daily allowance for vitamin c is 60 mg per day .

Then, for one whole week , the recommended allowance for vitamin c will be :-

7\times60=420\text{ mg}

Also, there are 70 mg of vitamin C per 100 g orange.

1 g = 1000 ml

The proportion of Vitamin C in 100 g = \dfrac{70}{100000}=0.0007

1 oz =28.3495 grams

Then, 3\ oz= 3\times28.3495=85.0485 \text{ gm}=85048.5\ mg

Then, amount of vitamin C in 85048.5 mg = 0.0007\times85048.5=59.53395\approx59.53\ mg

Then, the number of oranges have to eat each week to meet this requirement= \dfrac{420}{59.53}\approx7

Hence,  about 7 oranges you would have to eat each week to meet this requirement.

8 0
3 years ago
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Reika [66]

Answer: tough one

Step-by-step explanation:

7 0
2 years ago
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