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zhenek [66]
3 years ago
6

Answer 10 only please, explain how you got your answer

Mathematics
1 answer:
ira [324]3 years ago
8 0

Question:

The circumference of a clock is 22 inches. What is the radius of the clock?

Answer:

Radius = 3.5 inches

Solution:

Shape of the clock is circle.

Circumference of the circle = 2πr

Circumference of a clock = 22 inches

\Rightarrow2\pi r=22

$\Rightarrow2\times\frac{22}{7}\times  r=22

$\Rightarrow\frac{44}{7}\times  r=22

$\Rightarrow  r=22\times \frac{7}{44}

$\Rightarrow  r=\frac{7}{2}

⇒ r = 3.5 inches

Hence the radius of the clock is 3.5 inches.

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(c + 3) - 2c - (1 - 3c) = 2 what is this answer to this problem?
Eddi Din [679]
(c+3)-2c-(1-3c)=2
c+3-2c-1+3c=2
2c+2=2
2c=0
c=0
6 0
3 years ago
Find the slope of the line in simplest form (8, 9) (-7, 14)
xeze [42]
Slope= -1/3
14-9/-7-8
5/-15
1/-3
4 0
2 years ago
The local branch of the Internal Revenue Service spent an average of 21 minutes helping each of 10 people prepare their tax retu
AURORKA [14]

Answer:

The confidence Interval is [- 0.7053  10.4521]

a: The  hypotheses  are

H0: μ1=μ2    against the claim Ha :μ1≠μ2

b. The critical value for t∝/2 for 17 d.f  t > 2.508 and  t < -2.111

c. t= -2.8422

d. The calculated value of t= -2.8422 is less than t < -2.11 the critical value therefore we reject H0 and conclude there is a difference between the two means.

Step-by-step explanation:

When the standard deviations are not the same then the confidence intervals for mean differences are calculated as

(x1`-x2`)- t∝/2 √s1²/n1 + s2²/n2 < u1-u2 < (x1`-x2`)+ t∝/2 √s1²/n1 + s2²/n2

x1`= 21        x2`= 27

n1=  10       n2= 14

s1= 5.6       s2= 4.3

The degrees of freedom is calculated using

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

= 17

The t∝/2 for 17 d.f = 2.11

Putting the values

(x1`-x2`)- t∝/2 √s1²/n1 + s2²/n2 < u1-u2 < (x1`-x2`)+ t∝/2 √s1²/n1 + s2²/n2

(21-27) - 2.11√5.6²/10+ 4.3²/14 < u1-u2 <(21-27)  +2.11√5.6²/10+4.3²/14

6- 2.11*2.111 < u1-u2 <  ( 6 )  +2.11*2.111

6- 4.4521 < u1-u2 <  ( 6 )  +5.294

- 1.5479 < u1-u2 <  10.4521

The confidence Interval is [- 0.7053  10.4521]

a: The  hypotheses  are

H0: μ1=μ2    against the claim Ha :μ1≠μ2

The claim is that there is a difference in the average time spent by the two services

b. The critical value for t∝/2 for 17 d.f  t > 2.508 and  t < -2.111

The degrees of freedom is calculated using

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

= 17

c. The test statistic is

t= (x1`-x2`)  /√s1²/n1 + s2²/n2

t= (21-27)  /√5.6²/10+ 4.3²/14

t= -6/2.111

t= -2.8422

d. The calculated value of t= -2.8422 is less than t < -2.11 the critical value therefore we reject H0 and conclude there is a difference between the two means.

5 0
3 years ago
If I buy a stereo for $245 and this includes GST of 10%, what is the pre-GST price?
Ivan

Answer:  $222.73

===========================================

Work Shown:

x = pre-GST price

10% of x = 0.10x = tax amount

x + 0.10x = 1.10x = post-GST price = 245

1.10x = 245

x = 245/1.10

x = 222.7272 approximately

x = 222.73 is the price before tax.

------------

Check:

10% of 222.73 = 0.10*222.73 = 22.273 = 22.27

The tax amount ($22.27) is added to the pre-GST price to get

22.27+222.73 = 245

which matches the post-GST price mentioned.

The answer is confirmed.

Or another way to confirm the answer is to calculate this

1.10*222.73 = 245.003 = 245

6 0
2 years ago
Read 2 more answers
Which of these statements describe properties of parallelograms? Check<br> that apply.
svlad2 [7]

Answer:

A, B, C and D.

Step-by-step explanation:

Opposite sides are congruent (B) as well as the 3 that are marked.

6 0
2 years ago
Read 2 more answers
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