Ms. Morrison is purchasing a house and needs to finance a $150,000 mortgage from

Mathematics

1 answer:

matrenka [14]2 years ago

7 0

Ms. morrison would have to pay $698.94 monthly for the next 30 years

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Penny is going to fly her plane to her sister's house, which is 544.32 miles away. Penny's airplane flies at an average speed of

Sedbober [7]

Answer:

0.81 hour

Step-by-step explanation:

Given data

Distance= 544.32 miles

Speed= 672 miles per hour.

We know that

Speed= distance/time

Substitute

672= 544.32/time

cross multiply

time*672= 544.32

time= 544.32/672

time= 0.81 hour

3 0

2 years ago

The life in hours of a 75-watt light bulb is known to be normally distributed with standard deviation σ = 25 hours. A random sam

irina [24]

Answer: a) (1008.34,1019.658) b) (1009.24,1018.76)

Step-by-step explanation:

Since we have given that

n = 75

mean = 1014 hours

Standard deviation = 25 hours

At 95% two sided , z = 1.96

So, confidence interval would be

$\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.96\dfrac{25}{\sqrt{75}}\\\\=1014\pm 5.658\\\\=(1014-5.658,1014+5.658)\\\\=(1008.34,1019.658)$

(b) Construct a 95% lower confidence bound on the mean life.

z = 1.65

So, confidence interval would be

$\bar{x}\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.65\times \dfrac{25}{\sqrt{75}}\\\\=1014\pm 4.76\\\\=(1014-4.76,1014+4.76)\\\\=(1009.24,1018.76)$

Hence, a) (1008.34,1019.658) b) (1009.24,1018.76)

4 0

3 years ago

Ahmad run 5 kilometres. If he completed 15% of the race. How many kilometres is the race?

stepladder [879]

Answer:

x = 33.33 kilometers

Step-by-step explanation:

you could make use of the percent, base, and rate formula here. we know that 15% is the rate, 5 kilometers is the percent, therefore what we are looking for is our base.

$\frac{percent}{base} =\frac{rate}{100}$