Find sin A and sec B given a = 2, b = 11.

Dimas [21]

Sample space of A the 1st box ={5 plain pencils, 5 pens}

Sample space of B the 2nd box ={5 color pencils,7 crayons}

P(pen from the first box) =5/10 = 1/2
P(crayon from the second box) = 7/12

Now the P(pen from the first box AND crayon from the second box)

=P(pen from the first box ∩ crayon from the second box) =1/2 x 7/12
= 7/24 = 0.29

6 0

4 years ago

A local ice-cream shop sells ice-cream cones for $2.00, and customers can choose from the following options.

iris [78.8K]

Answer:

Option 5) The total cost of the cone

Step-by-step explanation:

We are given the following in the question:

Quantitative variable:

A variable that can be measured is known as a quantitative variable.
They may be discrete or continuous.
They can have numeric values.
For example: length, height, cost etc.

In the given situation the quantitative variables are:

1. Ice-cream flavor

It is not a quantitative variable since it cannot be measured.

2. Type of cone

It is not a quantitative variable since it cannot be measured.

3. Chocolate dipped or not

Since it would be answered with a yes or no, it is not a quantitative variable as it cannot be measured.

4. Sprinkles or not

Since it would be answered with a yes or no, it is not a quantitative variable as it cannot be measured.

5. The total cost of the cone

It is a quantitative variable as this would be expressed in numbers.

8 0

3 years ago

The circumference of a circle is 7π in.

BigorU [14]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that the circumference of a circle is 7π units.

The circumference of the circle is

$S=2\pi r$

$7\pi =2\pi r$

$7=2r$

$r=3.5$

The area of the circle is

$A=\pi r^2$

$A=\pi (3.5)^2$

$A=12.25\pi$

The area of circle is 12.25π square unit.

Therefore the correct option is B.

4 0

4 years ago

The phone company Blurizon has a monthly cellular plan where a customer pays a flat fee for unlimited voice calls and then a cer

emmainna [20.7K]

Answer:

$y=2x+27$ .

Step-by-step explanation:

We have been given that when a customer uses 14 GB, the monthly cost will be $55. When the customer uses 38 GB, the monthly cost will be $103. We are asked to write an equation in slope-intercept form, where x is the number of GB of data used in a month and y is the total monthly cost of the Blurizon plan.

We have been given two points on line (14,55) and (38,103).

Let us find slope of line.

$m=\frac{103-55}{38-14}$