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2 years ago

Suzie's Nursery is having a sale on two kinds of plants, venus fly traps and bonsai trees.

Mathematics

1 answer:

ANTONII [103]2 years ago

7 0

Answer:

Venus fly trap = 12

Bonsai tree = 17

Step-by-step explanation:

Given that :

Venus fly trap = $3per plant

Bonsai tree = $5 per plant

Number of plants sold = 29

Total cost of plant sold = $121

Let venus fly trap = x ; bonsai tree =y

x + y = 29 ___ (1)

3x + 5y = 121 ____(2)

From (1) :

x = 29 - y

In (2):

3(29 - y) + 5y = 121

87 - 3y + 5y = 121

87 + 2y = 121

2y = 121 - 87

2y = 34

y = 34/2

y = 17

x = 29 - 17

x = 12

Hence,

Venus fly trap = 12

Bonsai tree = 17

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The average annual premium for automobile insurance in the United States is $1411. A representative sample of annual premiums fo

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Using confidence interval concepts, it is found that:

a) The point estimate is the sample mean.

b) The confidence interval is: $\overline{x} \pm T\frac{s}{n}$

c) If $1411 is between the bounds of the interval yes, otherwise no.

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At item a, it asks to provide a point estimate for the population mean, which is the sample mean $\overline{x}$

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Item b:

In the spreadsheet, it is possible to find the <em>standard deviation for the sample</em>, thus, the t-distribution is used.
The confidence interval will be given by:

$\overline{x} \pm T\frac{s}{n}$

In which:

$\overline{x}$ is the sample mean.
T is the critical value, from the t-distribution, with a two-tailed area of $\frac{1 - 0.95}{2} = 0.025$ and n-1 degrees of freedom.
s is the standard deviation for the sample.
n is the sample size.

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Item c:

We have to check if 1411 is between $\overline{x} - T\frac{s}{n}$ and $\overline{x} +T\frac{s}{n}$ .

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A similar problem is given at brainly.com/question/24232455

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3 years ago

Quick I need an answer to this Queston:

fiasKO [112]

Step-by-step explanation:

$- \frac{3}{4} x + 2 \frac{1}{4 } = \frac{1}{2} x + 1$

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1 year ago

Item 11

marysya [2.9K]

Answer:

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Step-by-step explanation:

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