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4 years ago

4. If 7a = 14, then 12a -

Mathematics

2 answers:

givi [52]4 years ago

8 0

Answer:

Step-by-step explanation:

the value of a is 2, therefore 7x2=14 and 12x2=24

Alisiya [41]4 years ago

4 0

Answer: a=2

Step-by-step explanation: Well when we look at 7a = 14 how did we get to 14? Well, 7 times 2 equals 14 correct? so, we know that the variable a must equal 2. We then need some answer for 12a = __. We will need to use what we learned from the first problem which was that a equaled 2. Therefore 12a = 24.

Hope this is what you were looking for! :)

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TRUE OR FALSE:

enot [183]

It is possible to have an obtuse triangle that also contains a 35° angle.
Yes, this is true.
That's because an obtuse angle just means it's more than 90 but less than 180 degrees.

It is possible to have a right triangle that also contains a 110° angle.
No, this is false.
That's because a right triangle already has 90. That means that the two remaining angles must add up to 90 and not more or less.

It is possible to have an acute triangle that also contains a 70° angle.
Yes, this is true.
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Hope this helps :)

7 0

4 years ago

The bedroom is 17 feet long by 18 feet wide, and the ceiling is 9 feet high. The inside of the bedroom door will be painted the

Lisa [10]

Answer:

Step-by-step explanation:

Do it yourself m8!

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3 years ago

WRITING LINE AR INEQUALITIES Nancy works at Love at First Bite bakery where she decorates cakes and cupcakes. It takes her an av

ozzi

Answer:

Step-by-step explanation:

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3 years ago

How many 1 2/3 are in 1 1/6

Flura [38]

Answer:

7/10

Step-by-step explanation:

To find how many of x are y, you solve y/x.

With our numbers, we have 7/6 ÷ 5/3.

We can turn that into 7/6 × 3/5 = 21/30 = 7/10.

5 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

3 years ago