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yaroslaw [1]
3 years ago
15

What is the volume of the triangular prism shown below?

Mathematics
1 answer:
liberstina [14]3 years ago
8 0

Answer:

B

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = area of triangular face × length

Area of triangle = \frac{1}{2} bh ( b is the base and h the height )

Here b = 6 and h = 8, thus

Area = \frac{1}{2} × 6 × 8 = 3 × 8 = 24 units², thus

V = 24 × 20 = 480 units³ → B

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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
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kvasek [131]
2x + 4y + 2 = 3y + 5
2x + 4y - 3y + 2 - 5 = 0
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3 years ago
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The answer is 15.4z-12
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Cuatro meses después que se detuviera la publicidad, una compañia fabricante notifica que sus ventas han cai­do de 100.000 unida
Volgvan

Answer:

51,200 unidades

Step-by-step explanation:

Paso 1

Calculamos el porcentaje de disminución

= 100000 - 80000/100000 × 100

= 20000/100000 × 100

= 20%

Por lo tanto, el porcentaje de disminución cada mes = 20%

Paso 2

La fórmula de la disminución exponencial

y = a (1 - r) ^ t

a = 80.000

r = 20% = 0,2

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Answer:

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Step-by-step explanation:

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2 years ago
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