All categories

2 years ago

I need help on this math problem !

Mathematics

1 answer:

xeze [42]2 years ago

8 0

Answer:

181 units²

Step-by-step explanation:

Let's break up the polygon into 3 shapes

Step 1: Area of the left rectangle

4(7) = 28 units²

Step 2: Area of middle rectangle

9(13) = 117 units²

Step 3: Area of top square

6² = 36 units²

Step 4: Add them all up

28 + 117 + 36 = 181 units²

You might be interested in

What is the value of A?

Savatey [412]

Answer: 17

Step-by-step explanation: have a great day <3

6 0

2 years ago

Newjet, Inc. manufactures inkjet printers and laser printers. The company has the capacity to make 70 printers per day, and it h

Nuetrik [128]

Answer:

45 inkjet printers and 25 laser printers should be made to give maximum profit.

The maximum profit is $3750

Step-by-step explanation:

Let x be the no. of inkjet printers

Let y be the no. of laser printers

The company has the capacity to make 70 printers per day

So, $x+y\leq 70$ ---1

Time taken to make 1 inkjet printer = 1 hour

So, Time taken to make x inkjet printer = x hour

Time taken to make 1 laser printer = 3 hours

So, time taken to make y laser printers = 3y hours

It has 120 hours of labor per day available

So, $x+3y\leq 120$ ---2

The profits are $50 per inkjet printer and $60 per laser printer.

So, P=50x+60y

Where P is the profit function

Plot the lines 1 and 2 on the graph

$x+y\leq 70$

$x+3y\leq 120$

Such that the $x\geq 0 , y\geq 0$

Now the boundary points of feasible region are (0,40),(45,25) and (70,0)

Substitute the points in the profit function

At (0,40)

P=50x+60y

P=50(0)+60(40)

P=2400

At (45,25)

P=50x+60y

P=50(45)+60(25)

P=3750

At (70,0)

P=50x+60y

P=50(70)+60(0)

P=3500

So, we got the maximum profit at (45,25)

So, 45 inkjet printers and 25 laser printers should be made to give maximum profit.

The maximum profit is $3750

6 0

2 years ago

Cody bought 9 jars of crushed ginger for $45. How many jars of crushed ginger can Scott buy if he has $150

Viktor [21]

61 cups of that cereal and the milk

6 0

2 years ago

The amount of time devoted to studying statistics each week by students who achieve a grade of A in the course is a normally dis

svlad2 [7]

Answer:

a) 11.7% of students study for more than 10 hours per week.

b) 35.6% of student spends between 7 and 9 hours studying.

c) 1.6% of students spend fewer than 3 hours studying.

d) 5% of all A students spend studying 4.0455 or less hours during a week.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 7.5 hours

Standard Deviation, σ = 2.1 hours

We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(students study for more than 10 hours per week)

P(x > 10)

$P( x > 10) = P( z > \displaystyle\frac{10 - 7.5}{2.1}) = P(z > 1.1904)$

$= 1 - P(z \leq 1.1904)$

Calculation the value from standard normal z table, we have,

$P(x > 10) = 1 - 0.883 = 0.117 = 11.7\%$

b) P(student spends between 7 and 9 hours studying.)

$P(7 \leq x \leq 9) = P(\displaystyle\frac{7 - 7.5}{2.1} \leq z \leq \displaystyle\frac{9-7.5}{2.1}) = P(-0.2380 \leq z \leq 0.7142)\\\\= P(z \leq 0.7142) - P(z < -0.2380)\\= 0.762 - 0.406 = 0.356 = 35.6\%$

$P(7 \leq x \leq 9) = 35.6\%$

c) P(students spend fewer than 3 hours studying)

$P(x < 3) = P(z < \displaystyle\frac{3-7.5}{2.1}) = P(z < -2.1428)$

Calculating the value from the standard normal table we have,

$P( x < 3) =0.016 = 1.6\%$

d) P(X < x) = 0.05

We have to find the value of x such that the probability is 0.035

$P( X < x) = P( z < \displaystyle\frac{x - 7.5}{2.1})=0.05$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 7.5}{2.1} = -1.645\\x = 4.0455$

5% of all A students spend studying 4.0455 or less hours during a week.

5 0

3 years ago

1 3/7 times 2 3/4 =<br> I WILL REWARD BRAINLIEST

charle [14.2K]

Answer:

25/7

Step-by-step explanation:

7 0

3 years ago