Which angle is the angle of depression for the man looking at his dog? A B C D

Richie spent $120 on 12 rose bushes and 2 gardenias, while Jim spent it $150 on 10 rose bushes and 10 gardenias. What is the cos

Basile [38]

With the given information, we can create several equations:

120 = 12x + 2y
150 = 10x + 10y

With x being the number of rose bushes, and y being the number of gardenias.

To find the values of the variables, we can use two methods: Substitution or Elimination

For this case, let us use elimination. To begin, let's be clear that we are going to be adding these equations together. Therefore, in order to get the value of one variable, we must cancel one of them out - it could be x or y, it doesn't matter which one you decide to cancel out. Let's cancel the x out:

We first need to multiply the equations by numbers that would cause the x's to cancel out - and this can be done as follows:

-10(120 = 12x + 2y)
12(150 = 10x + 10y) => Notice how one of these is negative

Multiply out:

-1200 = -120x - 20y
+ 1800 = 120x + 120y => Add these two equations together
---------------------------------
600 = 100y

Now we can solve for y:

y = 6

With this value of y known, we can then pick an equation from the beginning of the question, and plug y in to solve for x:

120 = 12x + 2y => 120 = 12x + 2(6)

Now we can solve for x:

120 = 12x + 12 => 108 = 12x

x = 9

So now we know that x = 9, and y = 6.

With rose bushes being x, we now know that the cost of 1 rose bush is $9.
With gardenias being y, we now know that the cost of 1 gardenia is $6.

4 0

3 years ago

There are 102102 students in a statistics class. The instructor must choose two students at random. Students in a Statistics Cla

asambeis [7]

Answer:

0.0087 probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

What is the probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random?

There are 5 freshman non-Statistics majors out of 102 students.

Then, there will be 18 junior statistics majors out of 101 students(1 will have already been chosen). So

$p = \frac{5}{102}*\frac{18}{101} = \frac{5*18}{102*101} = 0.0087$

0.0087 probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random

8 0

3 years ago

Avery planned a circular garden and path as shown below. The radius of the garden is 4 feet and the path around the garden is 2

Digiron [165]

Answer:

Option C) 113.0 feet squared

Step-by-step explanation:

We are given the following in the question:

Radius of circular garden = 4 feet

Length of path around garden = 2 feet

We have to find the total area of garden and path.

The garden and path together makes a bigger circle with radius

$R = 4 + 2 = 6\text{ Feet}$

Area of garden and path =

$A = \pi R^2$

Putting values, we get,

$A = 3.14\times (6)^2 = 113.04\\A \approx = 113.0\text{ square feet}$

Thus, the correct answer is

Option C) 113.0 feet squared

8 0

2 years ago

Read 2 more answers

It costs more to produce defective items - since they must be scrapped or reworked - than it does to produce non-defective items

Shtirlitz [24]

Answer:

1,082

Step-by-step explanation:

The sample size n in Simple Random Sampling is given by

$\bf n=\frac{z^2s^2}{e^2}$

where

z = 1.645 is the critical value for a 90% confidence level (*)

s = 2 is the estimated population standard deviation

e = 0.1 mm points is the margin of error

so

$\bf n=\frac{z^2s^2}{e^2}=\frac{(1.645)^2(2)^2}{(0.1)^2}=1,082.22\approx 1,083$

rounded up to the nearest integer.

So the manufacturer should test 1,083 parts.

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(*)This is a point z such that the area under the Normal curve N(0,1) outside the interval [-z, z] equals 10% = 0.1

It can be obtained in Excel with

NORMINV(1-0.05,0,1)

and in OpenOffice Calc with

NORMINV(1-0.05;0;1)

5 0

3 years ago

Jamie made 8 1/4 cups of fruit punch for a party. Her guests drank 2/3 of the punch. How many fruit punch did her guests drink?

garri49 [273]

The answer would be 7 7/12

7 0

2 years ago