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SCORPION-xisa [38]
3 years ago
12

Is 70 thousand written in standard form or word form? Explain

Mathematics
1 answer:
Gemiola [76]3 years ago
8 0
Word form means write the number verbally in written form <span>Standard form stands for the actual number</span>
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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
Factor 70a + 50. Write your answer as a product with a whole number greater than 1
olga2289 [7]

Answer:

  10(7a +5)

Step-by-step explanation:

The greatest common factor of the two terms is 10. Factoring that out gives ...

  10(7a +5)

_____

Other possibilities for meeting the problem requirement are ...

  • 2(35a +25)
  • 5(14a +10)
3 0
3 years ago
20 POINTS!!!!!!!! A picture is photocopied by using a scale factor of 2. Each side of the photocopy of the picture is
LUCKY_DIMON [66]

Answer:

Each side of the photocopy of the picture is  enlarged by a factor of 2 so it would be A.

Step-by-step explanation:

8 0
2 years ago
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A cylinder has a base area of 100cm and volume of 1500 cm what’s the height
e-lub [12.9K]

Answer:

we know,

Volume of cylinder = Base area × height

1500= 100×h

so, Height h = 15 cm

6 0
2 years ago
Evaluate.<br>4-6(3-5)1-3<br>​
CaHeK987 [17]

Answer:

13

Step-by-step explanation:

3 0
3 years ago
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