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2 years ago

Convert 7 qt/min to gallons per hour.

Mathematics

2 answers:

Maksim231197 [3]2 years ago

7 0

hi it 600 Dfjuscekeu Read closely remove the djsee

s2008m [1.1K]2 years ago

5 0

Answer is 105 gallons per hour

Step by step
We know
1 gallon=4 quarts
60 minutes=1hour

7/1 minute = x gallons/ 60 minutes

Cross multiply

7*60=420

420 is how many quarts per hour but we want gallons so we want to divide by 4 quarts

420/4=105

105 gallons per hour.

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An economist wishes to conduct a survey in two different cities in the same county to determine the difference in the proportion

slamgirl [31]

Answer:

The minimum sample size needed for each city = 922

Step-by-step explanation:

From the information given:

the objective is to find the minimum sample size needed for each city so that the margin of error not to exceed 6%.

If we take a look at the question very well:

we are only given the confidence interval of 99% and the margin of error of 6%

we were not informed or given the value or estimate of any proportions>

so we assume that:

$p_1 =q_ 1= p_2 = q_2 = 0.5$

At confidence interval of 0.99 , the level of significance = 1 - 0.99 = 0.01

The critical value for $z_{\alpha/2} = z_{0.01 /2}$

= $z_{0.005}$ = 2.576

The minimum sample size needed can be calculated by using the formula :

$n = \dfrac{z^2_{\alpha/2}}{E^2}(p_1q_1+p_2q_2)$

$n = \dfrac{2.576^2}{0.06^2}((0.5 \times 0.5)+(0.5 \times 0.5))$

$n = \dfrac{6.635776}{0.0036}(0.25+0.25)$

$n =1843.271 \times (0.5)$

n = 921.63

n $\simeq$ 922

∴ The minimum sample size needed for each city = 922

4 0

3 years ago

A train goes at a constant speed. If it covers 150 miles in 2 1 2 hours,

natali 33 [55]

Answer:

Velocity=Speed/Time

s = 150/2.5 = 60 miles per hour

To cover 270 miles, it will take

270/60 = 4.5 hours

4 0

3 years ago

Please help I’ll mark you as brainliest if correct

Alinara [238K]

Answer:

Option 4 is correct

x° + 126° = 180° and value of x is 54°

Step-by-step explanation:

Here, In a given Triangle two sides are equal i.e., Isosceles Triangle.

We know that, in a triangle the sum of all angles Is 180°.

If two sides are equal then also two angles are also equal of that sides.

Now,

63° + 63° + x° = 180°

x° + 126° = 180°

Now, To find the value of x

x° + 126° = 180°

x° = 180° - 126°

x = 54°

Thus, The value of x is 54°

<h3>FOR VERIFICATION ONLY:-</h3>

x° + 126° = 180°

54° + 126° = 180°

180° = 180°

Hence, L.H.S = R.H.S

-TheUnknownScientist

4 0

3 years ago

Read 2 more answers

What is the equation of the line that has a slope of -4 and goes through (-1,6)? O A. y+ 6 = -4(x + 1) OB. y+6= -4(x - 1) OC. y-

Dennis_Churaev [7]

Answer:

hi I dont now is this will help you but use M A T H W A Y it will give you the step b step info and the answere

Hope it help

Step-by-step explanation:

4 0

3 years ago

What is the exact value of sin(105°)? ANSWER - D) sqrt(2 + sqrt3)/2

Fofino [41]

Answer:

$\sin 105^{\circ} = \frac{\sqrt{6}+\sqrt {2}}{4}$

Step-by-step explanation:

We can use the following trigonometrical identity:

$\sin (\alpha - \beta) = \sin \alpha \cdot \cos \beta - \cos \alpha \cdot \sin \beta$ (1)

Where $\alpha$ , $\beta$ are angles, measured in sexagesimal degrees.

If we know that $\alpha = 135^{\circ}$ and $\beta = 30^{\circ}$ , then the value of the given function is:

$\sin 105^{\circ} = \sin 135^{\circ}\cdot \cos 30^{\circ} - \cos 135^{\circ}\cdot \sin 30^{\circ}$

$\sin 105^{\circ} = \left(\frac{\sqrt{2}}{2} \right)\cdot \left(\frac{\sqrt{3}}{2}\right)-\left(-\frac{\sqrt{2}}{2} \right)\cdot \left(\frac{1}{2}\right)$

$\sin 105^{\circ} = \frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}$

$\sin 105^{\circ} = \sqrt{\frac{6}{16} }+\sqrt{\frac{2}{16} }$

$\sin 105^{\circ} = \sqrt{\frac{3}{8} }+\sqrt{\frac{1}{8} }$

$\sin 105^{\circ} = \frac{\sqrt{3}+1}{2\cdot \sqrt{2}}$

$\sin 105^{\circ} = \frac{\sqrt{6}+\sqrt {2}}{4}$

7 0

3 years ago