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2 years ago

Tom buys a torch and a battery.

Mathematics

1 answer:

nevsk [136]2 years ago

8 0

Answer:

battery costs: 0.39...............

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One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 8 hours. How long will it take the pipe to f

mel-nik [20]

Answer:

24 hours

Step-by-step explanation:

Let x represent the time required to fill both pipes if they are left open

1/6 + (-1/8)= 1/x

1/6 - 1/8= 1/x

Divide through by 48

48(1/6) -48(1/8) = 48(1/x)

8 - 6 = 48 x

2= 48/x

2x= 48

x= 48/2

x= 24

Hence it will take 24 hours to fill the pipe if the drain is left open

6 0

2 years ago

Find the area of segment CFD given the following information: radius = 8in, area of ΔCBD = 25.9in2, and m∠CBD = 54° Round your a

Llana [10]

Answer:

A. 4.26 in^2

Step-by-step explanation:

Step 1: Find the area of the sector DBC. Here we have to use the formula.

Area of a sector = Central Angle/360 *π $r^{2}$

The area of the sector DBC = (54/360)*3.14* $8^{2}$

= 30.16

Step 2: Area of segment CFD = Area of the sector DBC - Area of the ΔCBD

= 30.17 - 25.9

Area of segment CFD = 4.27in^2

8 0

2 years ago

A train leaves at 08.43 and arrives at its destination at 09.23. If the train travelled 73 km, what was it's average speed in km

serg [7]

Answer: 109.5 km/ hr

Step-by-step explanation:

Distance = 73 km

Time = 40 minutes = 40/60 = 2/3 hours

Speed = Distance / time

= 73 / 2/3

= 73 x 3/2 = 219 / 2 = 109.5 km/hr

5 0

2 years ago

Yuki's guppies have begun to have babies. She started with 5 guppies. One week later, Yuki counted twice as many guppies in the

s2008m [1.1K]

Week 1 = 5 guppies.
week 2 = 5x 2 = 10 guppies
week 3 = 10 x 2 = 20 guppies
week 4= 20 x 2 = 40 guppies
week 5 = 40 x 2 = 80 guppies
week 6= 80 x 2 = 160 guppies
Yuki had 160 guppies in 6 weeks.

5 0

2 years ago

Credit card holders carry an average debt of $3,027 per month, with a standard deviation of $1,060. A credit card company is loo

Alex

Answer:

To be dropped, the client must have debts of $949.40 or lower.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

$\mu = 3027, \sigma = 1060$