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3 years ago

A vine in mr. Jackson’s garden is 3.6 feet long. When it is measured agian, it is 2.1 times as long. How long is the vine

Mathematics

2 answers:

Ket [755]3 years ago

5 0

Take note that the vine was 3.6 ft and now it is 2.1 times as long.

So since is it 2.1 times as long it will be multiplied by 3.6.

3.6(2.1)= 7.56

So it is 7.56 ft long, rounded it is 7.6 ft

IrinaK [193]3 years ago

5 0

The vine is 7.56 feet long. You have to multiply 3.6 and 2.1

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3 years ago

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3 years ago

A selective university advertises that 96% of its bachelor’s degree graduates have, on graduation day, a professional job offer

OLEGan [10]

Answer:

The probability is $P( p < 0.9207) = 0.0012556$

Step-by-step explanation:

From the question we are told

The population proportion is $p = 0.96$

The sample size is $n = 227$

The number of graduate who had job is k = 209

Generally given that the sample size is large enough (i.e n > 30) then the mean of this sampling distribution is

$\mu_x = p = 0.96$

Generally the standard deviation of this sampling distribution is

$\sigma = \sqrt{\frac{p (1 - p )}{n} }$

=> $\sigma = \sqrt{\frac{0.96 (1 - 0.96 )}{227} }$

=> $\sigma = 0.0130$

Generally the sample proportion is mathematically represented as

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=> $\^ p = \frac{209}{227}$

=> $\^ p = 0.9207$

Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as

$P( p < 0.9207) = P( \frac{\^ p - p }{\sigma } < \frac{0.9207 - 0.96}{0.0130 } )$

$\frac{\^ p - p}{\sigma } = Z (The \ standardized \ value\ of \ \^ p )$

$P( p < 0.9207) = P(Z< -3.022 )$

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3 years ago

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agasfer [191]

All you have to do is substitute the values of x.

h(0) = |-3(0) + 5|

h(0) = |5|

h(0) = 5

The answer for h(0) is 5.

h(5) = |-3(5) +5|

h(5) = |-15 + 5|

h(5) = |-10|

h(5) = 10

The answer to h(5) is 10.

I hope this helps!

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3 years ago

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