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N76 [4]
3 years ago
12

What is the area of the figure down below

Mathematics
1 answer:
kogti [31]3 years ago
3 0

68


Explanation:

So to get this answer you need to split it into smaller shapes. We already have the squares so we know that 3*3 is 9 and then we double that because there are two of them.

So, so far we have 18+x

We need to take the middle shape and split it into two trapezoids.

The area for trapezoids is T=(a+b/2)h

So T= (3+7/2)5
T= 5*5=25
And then we would double that because there are two of them so 50 and then fill it in for x
18+50= 68 is the area of the figure.
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A pharmaceutical testing company wants to test a new cholesterol drug. The average cholesterol of the target population is 200 m
Rom4ik [11]

Answer:

The required range is 237.5 to 275.

Step-by-step explanation:

Consider the provided information.

The average cholesterol of the target population is 200 mg and they have a standard deviation of 25 mg.

The the value of μ = 200 and the \sigma=25

The company wished to test a sample of people who fall between 1.5 and 3​ z-scores above the mean.

Let the value of z is 1.5.

Now use the z score formula: z=\frac{(x -\mu)}{\sigma}

Substitute the respective values in the above formula.

1.5=\frac{(x -200)}{25}

37.5=x -200

237.5=x

Now let the value of z is 3.

Substitute the respective values in the z score formula.

3=\frac{(x -200)}{25}

75=x -200

275=x

Hence, the required range is 237.5 to 275.

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4 years ago
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kicyunya [14]
Its 7 hours and 15 minutes
5 0
3 years ago
Kimberly's school is 12 kilometers west of her house and 9 kilometers south of her friend Alexa's house. Every day, Kimberly bic
Tanzania [10]

Answer:

39 Kilo meters

Step-by-step explanation:

12 Km (1) - school

9 Km(3) -Alexa's house

12Km+27Km=39Km

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3 years ago
WORTH MANY POINTS AND NEEED HELP ASAP
Maru [420]

Answer:

6x

Step-by-step explanation:

Area of triangle = l x w => 2x x 3x = 6x

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Solve each equation (Polynomial equations)
lesya [120]

{ {e}^{x} }^{2}  =  \frac{1}{ {e}^{2} } \times  {e}^{3x}  \\ \Leftrightarrow  { {e}^{x} }^{2}  =  {e}^{ 3x}  \times  {e}^{ - 2}  \\ \Leftrightarrow  { {e}^{x} }^{2}  =  {e}^{3x - 2}  \\ \Leftrightarrow  {x}^{2}  = 3x - 2 \\ \Leftrightarrow  {x}^{2}  - 3x + 2 = 0 \\ \Leftrightarrow (x - 1)(x - 2) = 0 \\ x = 1 \: \vee \: x = 2 \\  \\ {32}^{ {x}^{2} - 2x }  =  \frac{1}{ {4}^{x} } \\  \Leftrightarrow  {( {2}^{5} )}^{ {x}^{2} - 2x }  = {2}^{ - 2x}  \\ \Leftrightarrow  {2}^{5 {x}^{2} - 10x }  =  {2}^{ - 2x}  \\ \Leftrightarrow 5 {x}^{2}  - 10x =  - 2x \\ \Leftrightarrow 5 {x}^{2}    - 8x = 0 \\ \Leftrightarrow x(5x - 8) = 0 \\ \Leftrightarrow x = 0 \: \vee \: x =  \frac{8}{5}  \\  \\  { {e}^{x} }^{3}  =  {2}^{2x} \\ \Leftrightarrow  {x}^{3}  =  ln( {2}^{2x} )  \\ \Leftrightarrow  {x}^{3}  - 2x ln(2)  = 0 \\ \Leftrightarrow x( {x}^{2}  - 2 ln(2) ) = 0 \\ \Leftrightarrow x = 0 \:\vee \:  {x}^{2}  = 2 ln(2)  \\ \Leftrightarrow x = 0 \:\vee \: x =  \sqrt{2 ln(2) }  \:\vee \: x =  -  \sqrt{2 ln(2) }

8 0
4 years ago
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