All categories

3 years ago

What is the area of the drumhead on the drum shown below? Round to the nearest 10th.14 inches

1 answer:

5 0

The formula for finding the area of a circle is

a = pi × radius^2

Since the diameter is 14 inches, the radius is 7 inches, so to solve...

a = pi × 7^2
a = 3.14 × 49
a = 153.86

Rounded to the nearest tenth...

153.9 inches^2

You might be interested in

Find a compound proposition involving the propositional variables p, q, and r that is true when exactly two of p, q, and r are t

VLD [36.1K]

Answer:

Consider the proposition C=(p∧q∧¬r)∨(p∧¬q∧r)∨(¬p∧q∧r)

Step-by-step explanation:

This compound proposition C uses the outer disjunction (∨) then the proposition is true if and only if one of the three propositions (p∧q∧¬r),(p∧¬q∧r),(¬p∧q∧r) is true.

First, it is impossible that two or three of these propositions are simultaneously true. For example, if (p∧q∧¬r) and (p∧¬q∧r) are both true, then ¬r is true (from the first conjuntion) and r is true (from the second one), a contradiction. All the other possibilities can be discarded reasoning in the same way.

Since these propositions are mutually excluyent, C is true if and only if exactly one of the three propositions is true (and false otherwise). This can only happen if exactly two of p,q, and r are true and the other one is false. For example, (p∧q∧¬r) is true when p and q are true, and r is false.

8 0

3 years ago

Fifteen more than twice a number 9 is

Leokris [45]

The question is asking 15+2*9=? so to do this first multiply 2*9 which = 18 and then add 15, 18+15= 33

6 0

3 years ago

Read 2 more answers

How to solve y in -(y+9)=10

Allisa [31]

Answer:

Step-by-step explanation:

- (y+9) = 10

Multiply through by -1 gives us

y+9 = -10

Subtract 9 from both sides

y = -19

That's your answer.

If you work it through it satisfies the equation.

That is:

- (-19 +9) = 10

-(-10) = 10

10 = 10

Boo ya!

5 0

3 years ago

Wholesale cost of a telescope: $199.50; Markup: 50%, Discount: 30%,

kupik [55]

Answer:

$2147.85

Step-by-step explanation:

199.5*.5=99.75

199.5+99.75=299.25

299.25*.3=89.775

299.25-89.775=209.475

209.475*.04=8.279

209.475+8.379=217.854

7 0

3 years ago

A sample of blood pressure measurements is taken for a group of adults, and those values (mm Hg) are listed below. The values

Slav-nsk [51]

Answer:

Systolic on right

$\hat{CV} =\frac{18.68}{127.5}=0.147$

Systolic on left

$\hat{CV} =\frac{12.65}{74.2}=0.170$

So for this case we have more variation for the data of systolic on left compared to the data systolic on right but the difference is not big since 0.170-0.147 = 0.023.

Step-by-step explanation:

Assuming the following data:

Systolic (#'s on right) Diastolic (#'s on left)

117; 80

126; 77

158; 76

96; 51

157; 90

122; 89

116; 60

134; 64

127; 72

122; 83

The coefficient of variation is defined as " a statistical measure of the dispersion of data points in a data series around the mean" and is defined as:

$CV= \frac{\sigma}{\mu}$

And the best estimator is $\hat {CV} =\frac{s}{\bar x}$

Systolic on right

We can calculate the mean and deviation with the following formulas:

[te]\bar x = \frac{\sum_{i=1}^n X_i}{n}[/tex]

$s= \frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}$

For this case we have the following values:

$\bar x = 127.5, s= 18.68$

So then the coeffcient of variation is given by:

$\hat{CV} =\frac{18.68}{127.5}=0.147$

Systolic on left

For this case we have the following values:

$\bar x = 74.2 s= 12.65$

So then the coeffcient of variation is given by:

$\hat{CV} =\frac{12.65}{74.2}=0.170$

So for this case we have more variation for the data of systolic on left compared to the data systolic on right but the difference is not big since 0.170-0.147 = 0.023.

4 0

3 years ago