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2 years ago

PLS HELP ME NOW ASAP JUST ANYONE PLEASE

Mathematics

1 answer:

Ratling [72]2 years ago

7 0

Answer:

1244.3 square units

Step-by-step explanation:

The area of a composite figure can be found by decomposing it into its parts, then adding the areas of those parts. This figure can be decomposed into a square of side length 22 units, and two circles, each with radius 11 units.

<h3>Square</h3>

The area of a square is the square of its side length.

A = s²

A = 22² = 484 . . . . square units

<h3>Circles</h3>

The area of a circle is given by the formula ...

A = πr²

A = π(11²) = 121π

The area of the two circles is twice this value, or ...

2A = 2(121π) = 242π ≈ 760.3 . . . . square units

<h3>Total</h3>

The area of the figure is the sum of the areas of its parts:

total area = square area + area of circles

total area = 484 +760.3 = 1244.3 . . . . square units

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Newborn babies: A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights

Fed [463]

Answer:

a) 615

b) 715

c) 344

Step-by-step explanation:

According to the Question,

Given that, A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 732 babies born in New York. The mean weight was 3311 grams with a standard deviation of 860 grams

Since the distribution is approximately bell-shaped, we can use the normal distribution and calculate the Z scores for each scenario.

Z = (x - mean)/standard deviation

Now,

For x = 4171, Z = (4171 - 3311)/860 = 1

P(Z < 1) using Z table for areas for the standard normal distribution, you will get 0.8413.

Next, multiply that by the sample size of 732.

Therefore 732(0.8413) = 615.8316, so approximately 615 will weigh less than 4171

For part b, use the same method except x is now 1591.

Z = (1581 - 3311)/860 = -2

P(Z > -2) , using the Z table is 1 - 0.0228 = 0.9772 . Now 732(0.9772) = 715.3104, so approximately 715 will weigh more than 1591.

For part c, we now need to get two Z scores, one for 3311 and another for 5031.

Z1 = (3311 - 3311)/860 = 0

Z2 = (5031 - 3311)/860= 2

P(0 ≤ Z ≤ 2) = 0.9772 - 0.5000 = 0.4772

approximately 47% fall between 0 and 1 standard deviation, so take 0.47 times 732 ⇒ 732×0.47 = 344.

5 0

2 years ago

Solve the following simultaneous equations : with the help of steps<br>1. x + 2y = 1, 3x - y = 17

IRISSAK [1]

Answer:

x = 5, y = -2

Step-by-step explanation:

<u>Given equations:</u>

x + 2y = 1
3x - y = 17

<u>From the first equation we get:</u>

x = 1 -2y

<u>Substitute x in the second equation, find y:</u>

3x - y = 17
3*(1-2y) - y = 17
3 - 6y - y = 17
-7y = 17 - 3
-7y = 14
y = -14/7
y = -2

x = 1 - 2y
x = 1 - 2*(-2)
x = 1 + 4
x = 5

6 0

2 years ago

What is the quadratic regression equation for the data set? <br><br> PLEASEE HELP ME

Soloha48 [4]

You're trying to find constants $a_0,a_1,a_2$ such that $\hat y=a_0+a_1\hat x+a_2{\hat x}^2$ . Equivalently, you're looking for the least-square solution to the following matrix equation.

$\underbrace{\begin{bmatrix}1&6&6^2\\1&3&3^2\\\vdots&\vdots&\vdots\\1&9&9^2\end{bmatrix}}_{\mathbf A}\underbrace{\begin{bmatrix}a_0\\a_1\\a_2\end{bmatrix}}_{\mathbf x}=\underbrace{\begin{bmatrix}100\\110\\\vdots\\70\end{bmatrix}}_{\mathbf b}$

To solve $\mathbf{Ax}=\mathbf b$ , multiply both sides by the transpose of $\mathbf A$ , which introduces an invertible square matrix on the LHS.

$\mathbf{Ax}=\mathbf b\implies\mathbf A^\top\mathbf{Ax}=\mathbf A^\top\mathbf b\implies\mathbf x=(\mathbf A^\top\mathbf A)^{-1}\mathbf A^\top\mathbf b$

Computing this, you'd find that

$\mathbf x=\begin{bmatrix}a_0\\a_1\\a_2\end{bmatrix}\approx\begin{bmatrix}121.119\\-3.786\\-0.175\end{bmatrix}$

which means the first choice is correct.

8 0

3 years ago

PLEASE HELP!!! I REALLY NEED IT!!!

shusha [124]

Step-by-step explanation:

(22 + (-6/20) × (214 - 10 ( -6/20)) - (284.75)

(22 - 6/20) × (214 + 60/20) - (284.75)

(22 - 0.3) × (214 + 3) - (284.75)

(21.7 × 217) - 284.75

4708.9 - 284.75

= 4424.15

6 0

2 years ago

If u help me i will thank you

uranmaximum [27]

Answer:

Step-by-step explanation:

so what you need to do is 112=16m+12b

m=magazines

b=books

6 0

3 years ago