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2 years ago

8. The measure of ZH is (11x - 29). If x= 19,

Mathematics

1 answer:

frez [133]2 years ago

4 0

Answer:

given ,

$\bold{ZH = (11x - 29)}$

Also ,

$\bold{x = 19}$

substituting the value of x in the value of ZH , we get

$\bold{ZH = 11(19) - 29 }\\\bold{ ZH = 209 - 29 }\\ \bold\blue{ZH = 180}$

hope helpful~

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Determine whether or not the equation shows a proportional relationship. If it does, identify the unit rate (constant of proport

sergiy2304 [10]

Answer:

y = 25·x shows a proportional relationship

a = 5·x + 5 does not show a proportional relationship

m = 105.25·n shows a proportional relationship

Step-by-step explanation:

An equation that shows a proportional relationship is of the form, y = kx

Where;

k = The constant of proportionality = y/x

Therefore, the equation, y = 25·x shows a proportional relationship

The constant of proportionality = k = y/x = 25

Similarly, the equation m = 105.25·n shows a proportional relationship

The constant of proportionality = k = m/n = 105.25

When the equation shows a proportional relationship, the graph of the equation passes through the origin, therefore, the equation of the form, y = m·x + c, where c = the y-intercept > 0, the equation does not show a proportional relationship

The equation a = 5·x + 5, which is of the form, y = m·x + c, with c = 5 > 0, therefore, does not show a proportional relationship.

Therefore;

y = 25·x shows a proportional relationship

m = 105.25·n shows a proportional relationship

a = 5·x + 5 does not show a proportional relationship.

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3 years ago

Chong thinks of a Number adds 10 and then multiplies the number so obtained by 3, and get 42. If the number is n then write an e

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Answer:

The equation for this is: $3(n+10) = 42$

Step-by-step explanation:

We have that the number though is n.

Adds 10:

This means that now we have: $n + 10$

Multiplies by 3:

This means that now we have: $3(n+10)$

Gets 42:

This means that: $3(n+10) = 42$

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3 years ago

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3 years ago

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Answer:

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The alternative hypothesis is $H_a : p \ne 0.67$

The sample proportion is $\^ p = 0.65$

Step-by-step explanation:

From the question we are told that

The sample size is n = 546

The number of people that use a laptop overnight is $k = 355$

The population proportion is $p = \frac{2}{3} = 0.67$

Generally

The null hypothesis is $H_o : p = 0.67$

The alternative hypothesis is $H_a : p \ne 0.67$

Gnerally the sample proportion is mathematically represented as

$\^ p = \frac{ k}{n}$

=> $\^ p = \frac{ 355}{546}$

=> $\^ p = 0.65$

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3 years ago

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Answer:

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