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3 years ago

11

A standard American Eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. Assuming the weights of sta

ndard Eskimo dogs are normally distributed, what range of weights would 99. 7% of the dogs have?.

1 answer:

topjm [15]3 years ago

6 0

Answer:

35.5 pounds or less

Step-by-step explanation:

99.7% is a z score of 2.75

(x - 30)/2 = 2.75

x - 30 = 5.5

x = 35.5

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If 90 people were at a game and one-sixth bought programs for $1.50 each,

marta [7]

Answer:

I'm pretty sure they spent $22.50

Step-by-step explanation:

do (1÷6)×(90) then multiply 15 and 1.50

4 0

3 years ago

Among all right triangles whose hypotenuse has a length of 12 cm, what is the largest possible perimeter?

Veronika [31]

Answer:

Largest perimeter of the triangle =

$P(6\sqrt{2}) = 6\sqrt{2} + \sqrt{144-72} + 12 = 12\sqrt{2} + 12 = 12(\sqrt2 + 1)$

Step-by-step explanation:

We are given the following information in the question:

Right triangles whose hypotenuse has a length of 12 cm.

Let x and y be the other two sides of the triangle.

Then, by Pythagoras theorem:

$x^2 + y^2 = (12)^2 = 144\\y^2 = 144-x^2\\y = \sqrt{144-x^2}$

Perimeter of Triangle = Side 1 + Side 2 + Hypotenuse.

$P(x) = x + \sqrt{144-x^2} + 12$

where P(x) is a function of the perimeter of the triangle.

First, we differentiate P(x) with respect to x, to get,

$\frac{d(P(x))}{dx} = \frac{d(x + \sqrt{144-x^2} + 12)}{dx} = 1-\displaystyle\frac{x}{\sqrt{144-x^2}}$

Equating the first derivative to zero, we get,

$\frac{dP(x))}{dx} = 0\\\\1-\displaystyle\frac{x}{\sqrt{144-x^2}} = 0$

Solving, we get,

$1-\displaystyle\frac{x}{\sqrt{144-x^2}} = 0\\\\x = \sqrt{144-x^2}}\\\\x^2 = 144-x^2\\\\x = \sqrt{72} = 6\sqrt{2}$

Again differentiation P(x), with respect to x, using the quotient rule of differentiation.

$\frac{d^2(P(x))}{dx^2} = \displaystyle\frac{-(144-x^2)^{\frac{3}{2}}-x^2}{(144-x)^{\frac{3}{2}}}$

At x = $6\sqrt{2}$ ,

$\frac{d^2(V(x))}{dx^2} < 0$

Then, by double derivative test, the maxima occurs at x = $6\sqrt{2}$

Thus, maxima occurs at x = $6\sqrt{2}$ for P(x).

Thus, largest perimeter of the triangle =

$P(6\sqrt{2}) = 6\sqrt{2} + \sqrt{144-72} + 12 = 12\sqrt{2} + 12 = 12(\sqrt2 + 1)$

7 0

3 years ago

A cell phone costs $170 and has a tax rate of 7%. Write and Solve a proportion to find how much tax is paid on the cell phone.

daser333 [38]

Answer:

$11.9

Step-by-step explanation:

We are given;

The cost of the cell phone is $170

Tax rate is 7%

We are required to find how much tax is paid on the cell phone.

The tax rate is 7% of the cost of the cell phone

That is;

7% of $170

also; 7/100 of $170

Thus, tax paid = 7/100 × $170

= $11.9

Thus, the tax paid on the cell phone is $11.9

3 0

3 years ago

Johnny is reading a novel for the read-a- Thon. The ratio of the number of pages she read to the pages that remain to be read is

mart [117]

There are several ways to answer this question and I will use this approach. Since Johnny reads at a ratio of 7:3 it can be stated that for every 10 pages in a book containing 500 pages Johnny will read 7 of those pages. There are 50 groups of 10 in a 500-page book (50 x 10). Take the ration 7:3 times 50 and use the distributive property: 7:3(50) = (7 x 50):(3 x 50) = 350:150. Based on this Johnny has read 350 pages and has 150 pages remaining.

7 0

4 years ago

Put these numbers in order from least to greatest 1/8, -0.333, -1/7

Gekata [30.6K]

Answer:

-0.333, -1/7, 1/8

Step-by-step explanation:

1/8 is the greatest because it is a positive number while the other two numbers are negative.

-0.333 or -1/3 is smaller than -1/7.

7 0

2 years ago