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3 years ago

Pls help I beg of you.

Mathematics

1 answer:

Mandarinka [93]3 years ago

7 0

The semicircle is 25pi or 78.54

The rectangle is 120 (12*10)

The triangle is 24 (.5*12*4)

So the total is 222.54 (78.54+120+24)

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Write the solution to the inequality in set - builder notation: 5r + 8 < 63

Leni [432]

First, the inequality needs to be solved. The first step is to subtract 8 from both sides of the inequality, leading to 5r < 55. Dividing 5 out from both sides, this will leave r < 11. Next, to form a set notation, the inequality is written in such form: {r | r < 11}.

7 0

3 years ago

A ferry will safely accommodate 82 tons of passenger cars. Assume that the meanweight of a passenger car is 2 tons with standard

Shalnov [3]

Answer:

The probability that the maximum safe-weight will be exceeded is 0.0455 or 4.55%.

Step-by-step explanation:

Given:

Maximum safe-weight of 37 cars = 82 tons

∴ Maximum safe-weight of 1 car (x) = 82 ÷ 37 = 2.22 tons (Unitary method)

Mean weight of 1 car (μ) = 2 tons

Standard deviation of 37 cars = 0.8 tons

So, standard deviation of 1 car is given as:

$\sigma=\frac{0.8}{\sqrt{37}}=0.13$

Probability that maximum safe-weight is exceeded, P(x > 2.22) = ?

The sample is normally distributed (Assume)

Now, let us determine the z-score of the mean weight.

The z-score is given as:

$z=\frac{x-\mu}{\sigma}\\\\z=\frac{2.22-2}{0.13}\\\\z=\frac{0.22}{0.13}=1.69$

Now, finding P(x > 2.22) is same as finding P(z > 1.69).

From the z-score table of normal distribution curve, the value of area under the curve for z < 1.69 is 0.9545.

But we need the area under the curve for z > 1.69.

So, we subtract from the total area. Total area is 1 or 100%.

So, $P(z > 1.69) = 1 - P(z < 1.69)$

$P(z>1.69)=1-0.9545=0.0455\ or\ 4.55\%$

Therefore, the probability that the maximum safe-weight will be exceeded is 0.0455 or 4.55%.

8 0

3 years ago

Show that the transformation T defined by T(x1, x2) = (2x1 - 3x2, X1+4, 5x2) is not linear.

erastovalidia [21]

Let u = (1, 0) and v = (0, 1). Then

T (u) = (2*1 - 3*0, 1 + 4, 5*0) = (2, 5, 0)

T (v) = (2*0 - 3*1, 0 + 4, 5*1) = (-3, 4, 5)

=> T (u) + T (v) = (-1, 9, 5)

but

T (u + v) = T (1, 1) = (2*1 - 3*1, 1 + 4, 5*1) = (-1, 5, 5)

=> T (u + v) ≠ T (u) + T (v)

which means T does not preserve addition, so it is not linear.

4 0

2 years ago

an online seed supplier packages a seed mix that costs the company 20.70$ per pound the mix includes poppy seeds costing 24$ per

seraphim [82]

Answer:

The quantity of clover seeds in pounds to be added is 11.14

Step-by-step explanation:

Let

x -----> the quantity of poppy seeds in pounds

y -----> the quantity of clover seeds in pounds

we know that

$24(x)+13(y)=20.70(x+y)$ -----> equation A

$x=26\ pounds$ ----> equation B

substitute equation B in equation A and solve for y

$24(26)+13(y)=20.70(26+y)$

$624+13y=538.2+20,70y$

$20.70y-13y=624-538.2$

$7.7y=85.8$

$y=11.14\ pounds$

therefore

The quantity of clover seeds in pounds to be added is 11.14

8 0

3 years ago

Read 2 more answers

The formula for finding the volume of a cone is V = 1/3πr2h. The volume of a cone is 300 cm3 and the height of the cone is 10 cm

stepladder [879]

The closest approximate answer would be B. 5cm

5 0

3 years ago