What is the amount of tax on a pair of boxing<br> gloves that costs $68.40, if the tax rate is 9%?

Find two consecutive even integers whose sum is 22

andrew11 [14]

10 & 12

x = 1st consecutive even number

x + 2 = 2nd consecutive even number

x + x + 2 = 22

2x + 2 = 22

2x = 20

x = 10

x + 2 = 12

10 and 12 are the two consecutive even numbers

7 0

3 years ago

Needs to be over P_4(C), I know how to do over P_4(R).

nasty-shy [4]

Answer:

defendant who, before being served with process, timely returns a waiver need not serve an answer to the complaint until 60 days after the request was sent—or ...

Step-by-step explanation:

7 0

2 years ago

The mayor is interested in finding a 98% confidence interval for the mean number of pounds of trash per person per week that is

saul85 [17]

Solution :

Given :

Sample mean, $\overline X = 34.2$

Sample size, n = 129

Sample standard deviation, s = 8.2

a. Since the population standard deviation is unknown, therefore, we use the t-distribution.

b. Now for 95% confidence level,

α = 0.05, α/2 = 0.025

From the t tables, T.INV.2T(α, degree of freedom), we find the t value as

t =T.INV.2T(0.05, 128) = 2.34

Taking the positive value of t, we get

Confidence interval is ,

$\overline X \pm t \times \frac{s}{\sqrt n}$

$34.2 \pm 2.34 \times \frac{8.2}{\sqrt {129}}$

(32.52, 35.8)

95% confidence interval is (32.52, 35.8)

So with $95 \%$ confidence of the population of the mean number of the pounds per person per week is between 32.52 pounds and 35.8 pounds.

c. About $95 \%$ of confidence intervals which contains the true population of mean number of the pounds of the trash that is generated per person per week and about $5 \%$ that doe not contain the true population of mean number of the pounds of trashes generated by per person per week.

4 0

3 years ago

A semicircle is drawn next to the base of an isosceles triangle such that its diameter is perpendicular to the triangle's

irina1246 [14]

The total area of the semicircle and triangle is 30 + 4.5π .

The diameter of the semicircle is perpendicular to the base of the triangle.

Given diameter length = 6 cm

radius = 6 /2 = 3cm

Area of the semicircle = 1/2 πr² = 1/2π3² = 4.5π

height of the triangle = 10 cm

Area of the triangle = 1/2 × 6 × 10 =30cm

Total area of the figure = 30 + 4.5π

hence the total area of the resulting figure is 30 + 4.5π

A semicircle with one locus of points is referred to as a half-circle in mathematics, more specifically geometry. A semicircle's complete arc is always equal to 180 degrees, radians, or a half-turn.

It only contains one reflectional symmetry line. A half-disk, a twofold geometric entity that includes both the circumferential segment from one end of the arc towards the other and all the inner points, is typically referred to as a "semicircle" in non-technical language.

Disclaimer: The complete question is :

A semicircle is drawn next to the base of an isosceles triangle such that its diameter of 6 cm is perpendicular to the triangle's altitude of 10 cm

To learn more about semicircle visit:

brainly.com/question/29393120

#spj9

7 0

1 year ago

the probability of rain is 40% on Friday, 60% on Saturday, and 10% on Sunday. What is the probability that it will not rain duri

Kamila [148]

4/10 chance of rain Friday, 6/10 chance Saturday and 1/10 chance Sunday.
That means the chances of it not raining are 6/10 4/10 and 9/10
You multiply these together to get the chances of it not raining.
You get 216/1000 or .216 or 2.16% chance of it not raining

8 0

3 years ago

What is the amount of tax on a pair of boxing gloves that costs $68.40, if the tax rate is 9%?