Ask question

Ask question

All categories

2 years ago

8

13 gallons of water are used to completely fill 3 fish tanks. If each tank holds the same amount of water, how many gallons will

each tank hold?
Express your answer as a mixed number.

2 answers:

Alex787 [66]2 years ago

7 0

4.33 gallons should be your answer

enyata [817]2 years ago

5 0

Answer:

Each tank holds 4.33 gallons of water.

Step-by-step explanation:

Gallons of water used to fill tanks = 13 gallons

Number of fish tanks filled = 3 fish tanks

To calculate the amount of water in one tank, we will divide gallons of water used to fill tanks by number of fish tanks filled.

Water in one tank =

Water in one tank = 4.33 gallons

Each tank holds 4.33 gallons of water.

You might be interested in

vesna_86 [32]

Answer:

$m\angle y=35.69^o$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

In the right triangle of the figure

$sin(y)=\frac{7}{12}$ ----> by SOH (opposite side divided by the hypotenuse)

using a calculator

$m\angle y=sin^{-1}(\frac{7}{12})=35.69^o$

8 0

3 years ago

A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)

Maksim231197 [3]

Answer:

a

The 95% confidence interval is $0.0503 < p < 0.1297$

b

The sample proportion is $\r p = 0.09$

c

The critical value is $Z_{\frac{\alpha }{2} } = 1.96$

d

The standard error is $SE =0.020$

Step-by-step explanation:

From the question we are told that

The sample size is n = 200

The number of defective is k = 18

The null hypothesis is $H_o : p = 0.08$

The alternative hypothesis is $H_a : p > 0.08$

Generally the sample proportion is mathematically evaluated as

$\r p = \frac{18}{200}$

$\r p = 0.09$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the standard of error is mathematically represented as

$SE = \sqrt{\frac{\r p (1 - \r p)}{n} }$

substituting values

$SE = \sqrt{\frac{0.09 (1 - 0.09)}{200} }$

$SE =0.020$

The margin of error is

$E = Z_{\frac{ \alpha }{2} } * SE$

=> $E = 1.96 * 0.020$

=> $E = 0.0397$

The 95% confidence interval is mathematically represented as

$\r p - E < \mu < p < \r p + E$

=> $0.09 - 0.0397 < \mu < p < 0.09 + 0.0397$

=> $0.0503 < p < 0.1297$

7 0

3 years ago

A psychologist has a taxable income of 59450 last year. If he paid 10% of his income between $0 and $8350, 15% of his income bet

Vsevolod [243]

D. Multiply each rate by the range of each section.

NOTE: Do not multiply by the high amount, but rather the range of numbers within it.

7 0

3 years ago

What does (-x)+(-x)+(-x)=

Mazyrski [523]

Answer:

-3x

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Name an event that would be measured in days

telo118 [61]

Well, things like sporting events, or freak storms are measured in days, or weeks. Depends. For weather, it could be hurricanes, tornado's, or even large fires(not quite weather, but could be)

8 0

3 years ago

Read 2 more answers