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3 years ago

Algebraic math question

Mathematics

1 answer:

fgiga [73]3 years ago

3 0

Answer:

$7 \: {ft}^{2}$

Step-by-step explanation:

Area of the trapezoidal table

$=\frac{1}{\cancel 2}(4 + 3)\times \cancel 2$

$= 7 \: {ft}^{2}$

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If 1/8(8x+15)24, what is the value of x?

Lelechka [254]

Answer:

$x=22.125$ or $x=\frac{177}{8}$

Step-by-step explanation:

<u><em>The correct equation is</em></u>

$1/8(8x+15)=24$

solve for x

Multiply by 8 both sides to remove the fraction

$(8x+15)=192$

subtract 15 both sides

$8x=192-15\\8x=177$

divide by 8 both sides

$x=\frac{177}{8}$

$x=22.125$

3 0

3 years ago

Karen wants to advertise how many chocolate chips are in each big chip cookie at her bakery. she randomly selects a sample of 69

Tomtit [17]

Answer: $(10.1989,\ 11.0011)$

Step-by-step explanation:

Given : Sample size : n=69

Sample mean : $\overline{x}=10.6$

Standard deviation : $s=1.7$

Significance level : $\alpha:1-0.95=0.05$

Then , Critical value : $z_{\alpha/2}=1.96$

The formula to confidence interval is given by : -

$\overline{x}\pm z_{\alpha/2}\dfrac{s}{\sqrt{n}}\\\\\Rightarrow\ 10.6\pm (1.96)\dfrac{1.7}{\sqrt{69}}\\\\\approx10.6\pm0.4011=(10.6-0.4011,10.6+0.4011)=(10.1989,\ 11.0011)$

Hence, the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies= $(10.1989,\ 11.0011)$

8 0

4 years ago

Please help with this question, thank you.

stiv31 [10]

The point or vertically in line and are the same shapes to each toher

8 0

3 years ago

Please help!

kondaur [170]

The perimeter in this case will be:

p=2x+y and we are told that p=84yd so

2x+y=84

y=84-2x

Now for the area:

A=xy, and using y found above in this gives you:

A=x(84-2x)

A=84x-2x^2 now taking the derivatives gives you the velocity and acceleration of the area function...

dA/dx=84-4x and d2A/dx2=-4

Since the acceleration is a constant -4, when velocity is equal to zero it is at the absolute maximum value for the area function...

dA/dx=0 only when 84=4x, x=21

So the maximum possible area will occur when x=21

A(21)=84(21)-2(21^2)

A(21)=882 yd^2

5 0

3 years ago

Read 2 more answers

There are 25 people competing in a race. In how many ways can they finish in first and second place?

antiseptic1488 [7]

You answer is 25 times 24 which is 600. C

4 0

4 years ago

Read 2 more answers