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3 years ago

the length of a rectangle is 3 more than the width. if the area is 40 square inches, what are the dimensions.

Mathematics

1 answer:

tankabanditka [31]3 years ago

5 0

40 3 .......................

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In an effort to estimate the mean of amount spent per customer for dinner at a major Lawrence restaurant, data were collected fo

larisa86 [58]

Answer:

The 99% confidence interval for the population mean is 22.96 to 26.64

Step-by-step explanation:

Consider the provided information,

A sample of 49 customers. Assume a population standard deviation of $5. If the sample mean is $24.80,

The confidence interval if 99%.

Thus, 1-α=0.99

α=0.01

Now we need to determine $z_{\frac{\alpha}{2}}=z_{0.005}$

Now by using z score table we find that $z_{\frac{\alpha}{2}}=2.58$

The boundaries of the confidence interval are:

$\mu-z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80-2.58\times \frac{5}{\sqrt{49}}=22.96\\\mu+z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80+2.58\times \frac{5}{\sqrt{49}}=26.64$

Hence, the 99% confidence interval for the population mean is 22.96 to 26.64

3 0

3 years ago

F(x)=(x+1)(x-3)(x-4)

denis23 [38]

Answer:

x=-1, x=3, x=4

Step-by-step explanation:

1. Substitute 0 for f(x)

0=(x+1)(x-3)(x-4)

2. Set each set of parenthesis equal to 0

0=x+1, 0=x-3, 0=x-4

3. Solve for x

x=-1, x=3, x=4

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3 years ago

Y= -3x^2-24x-46 write in vertex form

mario62 [17]

ANSWER

$y= -3{(x + 4)}^{2} + 2$

EXPLANATION

The given function is:

$y= -3x^2-24x-46$

Factor -3 for the first 2 terms.

$y= -3(x^2 + 8x)-46$

We add and subtract the square of the coefficient of x.

$y= -3(x^2 + 8x + {(4)}^{2} ) - - 3( {4)}^{2} -46$

Factor the perfect square trinomial.

$y= -3 {(x + 4)}^{2} ) + 48 -46$

The vertex form is:

$y= -3{(x + 4)}^{2} + 2$

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3 years ago

Victoria had the following car expenses last year:

Lyrx [107]

Answer: The answer is $0.42 APEX

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3 years ago

Find the distance between the points (8, 1) and (0, 7)

AnnyKZ [126]

Answer: 10

Step-by-step explanation:

Formula : √(xB−xA)2+(yB-yA)2

= √(−8)2+62

= √64+36

= √100 = 10

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3 years ago

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