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marusya05 [52]
3 years ago
15

Can I get help with question 6-9

Mathematics
1 answer:
seropon [69]3 years ago
8 0

Answer:

Step-by-step explanation:

6)For question 6 you have the right idea but as the new image is bigger than the pre-image the scale factor would be 3/1

7)You have the right answer but the fraction can be simplified to 2

8)I think this question is asking for the angle in the triangle on the left that is the same as the one on the right so from left to right,

F=R         G=S       H=T

FG=RS   GH=ST   FH=RT

9)The scale facto for the longest edge here is 2 but the scale factor for the shortest edge is 18/8 which is equal to 9/4 so the are not congruent as they have two different scale factors. Answer) no

10) the triangles are similar as angle a=n and 55+35+90 = 180 so yes they are similar

Hope this helps :)

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Suppose that a random sample of 10 adults has a mean score of 62 on a standardized personality test, with a standard deviation o
aniked [119]

Answer:

The 90% confidence interval for the mean score of all takers of this test is between 59.92 and 64.08. The lower end is 59.92, and the upper end is 64.08.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645*\frac{4}{\sqrt{10}} = 2.08

The lower end of the interval is the sample mean subtracted by M. So it is 62 - 2.08 = 59.92

The upper end of the interval is the sample mean added to M. So it is 62 + 2.08 = 64.08.

The 90% confidence interval for the mean score of all takers of this test is between 59.92 and 64.08. The lower end is 59.92, and the upper end is 64.08.

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2 years ago
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Camilo compró un auto usado en $6,000.000y aceptó pagar $1,000.000 al contado y $1,000.000 al mes con interés del 6% anual sobre
Korolek [52]

Answer:

El pago total que hará Camilo es $6,150,000

Step-by-step explanation:

La cantidad que Camilo compró el auto usado = $6,000,000

La cantidad que Camilo acordó pagar en efectivo = $1,000,000

La cantidad que pagará Camilo en un mes = $1,000,000

El interés sobre el saldo impago = 6%

Por lo tanto, tenemos;

El interés sobre el saldo en un año = 6/100 × 5,000,000 = 300,000

El interés por mes = 300.000 / 12 = 25.000

La cantidad de meses que Camilo paga el saldo de 5,000,000 a 1,000,000 por mes = 5,000,000 / 1,000,000 mes = 5 meses

El momento en que paga el saldo restante = El sexto mes

La cantidad de interés pagado en los seis meses = 25,000 × 6 = 150,000

El pago total que hará Camilo, A = 6,000,000 + 150,000 = 6,150,000

El pago total que hará Camilo, A = $6,150,000

8 0
3 years ago
Almost all companies utilize some type of year-end performance review for their employees. Human Resource (HR) at a university's
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Answer:

The Answer is 76.

Step-by-step explanation:

Given the normal distribution " 10% of employees (rated) exemplary, 20% distinguished, 40% competent, 20% marginal, and 10% unacceptable'',  we can see that exemplary employees are top 10% rated employees.

We have the formula for normal distribution:

z=(X-M)÷σ

where z is the <em>minimum z-score </em>for top 10% employee, X is the <em>minimum </em>score for top 10% employee, M is the <em>mean</em> of the score distribution, σ is the <em>standard deviation</em> of the score distribution.

The z-score we are looking for is the value "a" that separates the highest 10% from the lowest 90% i.e. P(z≤a)=0.90

If we look at z-table, corresponding value for a is 1.28155

We can now put the values in the formula:

1.28155=\frac{X-50}{20}

So X=(1.28155×20)+50=75.631

Therefore minimum score for exemplary employee is 76.

3 0
3 years ago
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