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3 years ago

Twenty percent of a number is equal to 6 less than one half of the same number. What is the number?

Mathematics

1 answer:

Aliun [14]3 years ago

7 0

The number is 20. Work in picture if you want it or want justification of steps:)

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Evaluate ( f/g)(x) if f(x) = 2x and g(x) = 3x – 2 when x = 2.

Evgen [1.6K]

Answer:

Step-by-step explanation:

(f/g)(x)

= $\frac{f(x)}{g(x)}$

= $\frac{2x}{3x-2}$ ← substitute x = 2 into the expression

= $\frac{2(2)}{3(2)-2}$

= $\frac{4}{6-2}$

= $\frac{4}{4}$

= 1

7 0

2 years ago

High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers

Maurinko [17]

Answer:

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(536.46, 603.54)

Step-by-step explanation:

Step:-1

Given that the mean of the Population = 540HP

Given that the size of the sample 'n' = 9

Given that the mean of the sample = 570HP

Given that the sample standard deviation = 30HP

Step(ii):-

Degrees of freedom = n-1 =9-1 =8

t₀.₀₀₅ = 3.3554

The 99% of a confidence interval for the average maximum HP for the experimental engine.

$(x^{-} - t_{\frac{0.01}{2} ,8} \frac{S.D}{\sqrt{n} } ,x^{2} + t_{\frac{0.01}{2},8 } \frac{S.D}{\sqrt{n} } )$

$(570-3.354\frac{30}{\sqrt{9} } , 570+3.354\frac{30}{\sqrt{9} } )$

(570 - 33.54 , 570+33.54)

(536.46 , 603.54)

Final answer :-

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(536.46, 603.54)

4 0

3 years ago

6. The diagram on the right shows the cross-section of a cylindrical pipe with water lying in the bottom. a) If the maximum dept

riadik2000 [5.3K]

Answer:

404 cm³ Anyway... Look down here for my explanation.

Step-by-step explanation:

Let's Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth on your paper. A right-angled triangle is formed too. The Length of side to the water-surface is 5 cm, the hospot is 7 cm.

We Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7)

44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8°

The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram.

Shaded area 88.8/360*area of circle - ½*7*788.8°

= 88.8/360*π*7² - 24.5*sin 88.8°

13.5 cm²

(using area of ∆ = ½.a.b.sin C for the triangle)

Volume of water = cross-sectional area * length

13.5 * 30 cm³

404 cm³

6 0

2 years ago

True or False To find the circumference of a circle you multiply the diameter by pi

zavuch27 [327]

Answer:

false

Step-by-step explanation:

Formula: c=2 $\pi$ r

Circumference= two times pi times radius

4 0

3 years ago

Could u solve this pls?

sergejj [24]

The answer is 20. Hope it helps.

5 0

3 years ago