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Alex777 [14]
2 years ago
11

Can you guys help out I these questions for a test

Mathematics
1 answer:
DaniilM [7]2 years ago
5 0

the first x < 3 so x could be from - 1 till 3 in this graph

the other x > - 7 so x could be from from - 7 till - 3 in this graph

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The length of a rectangle is twice its width. Find its area, if its perimeter is 7 and 1/3 cm.
laila [671]

Answer:

2.99 cm²

Step-by-step explanation:

<em>(The "..." at the end of the decimal means that number is repeating)</em>

The perimeter of a rectangle is the length around the shape. The equation for a rectangle's perimeter is L + W × 2, with L and W representing length and width, respectively (You multiply the length and width by two because the shape is four-sided, so it has two length sides and two width sides). To find the area of the rectangle, you need to know the individual length and width, so you'll solve for that first.

Since you're only given the perimeter and you know the length is double the width, you'll need to work backwards with this equation. To do this, first divide the perimeter (7 \frac{1}{3}, also written as 7.33...) by 2; this equals 3 \frac{2}{3\\}, also written as 3.66...

Next, you can find the length and width by determining what two numbers multiply to equal 3.66..., with one number being two times larger than the other number. The way I tend to think of this is that if one number is double the other, then the smaller number is one third of the sum of the two numbers (since the smaller number represents one part of the sum, and the other represents two parts of the sum, which is double the smaller number).

Since the length and width combine to be the divided perimeter, 3.66..., that means two thirds of 3.66... is the longer side (the length), and then the one third of 3.66... is the shorter side (the width). This means the length is 2.44... and the width is 1.22...

Finally, you can solve for the perimeter by dividing the perimeter by two and then subtracting the length squared. The written equation looks like this:

A = P\frac{1}{2} - L²

(A = area, P = perimeter, L = lenth)

Now just insert the numbers into the equation and solve!

The area of the rectangle is 2.99cm²

7 0
2 years ago
The frequency table shows the results of tossing a number cube 50 times. Which statement
Paul [167]

Answer:

Option (1) is the correct option.

Step-by-step explanation:

From the given frequency table,

Option (1).

Tossing an even number is more likely than tossing an odd number.

Frequencies of tossing even numbers 2, 4, 6 = 10, 10, 9

Frequencies of tossing odd numbers 1, 3, 5 = 8, 6, 7

Which shows frequencies of tossing even numbers are more.

Therefore, Option (1) is correct.

Option (2)

The number 2 will be the next number tossed.

Since it is unpredictable, therefore, this option is incorrect.

Option (3)

Number 4 is half as likely to be tossed as the number 3.

Frequency of tossing number 3 = 6

Frequency of tossing 4 = 10

Frequency of tossing 3 is not the half of tossing 4.

Therefore, Option (3) is incorrect.

Option (4)

Probability of tossing the number 2 = \frac{\text{Frequency of tossing 2}}{\text{Total frequency}}

                                                           = \frac{10}{8+10+6+10+7+9}

                                                           = \frac{10}{50}

                                                           = \frac{1}{5}

Therefore, option (4) is incorrect.

3 0
3 years ago
the scale given on a road map is 1 cm equal 120 km what is the actual distance represented by 6 cm on the map​
elena55 [62]

Answer:

720

Step-by-step explanation:

6 x 120=720

Every 1 cm=120 km

So multiply both sides by 6 and you get

6 cm= 720 km

8 0
2 years ago
Sammy's Sandwich Shop has a mean delivery time of 25 minutes with a standard deviation of 2 minutes. Determine the z-score for t
Jlenok [28]

Answer:the z score is - 1

Step-by-step explanation:

Assuming a normal distribution for the delivery time of sandwiches by Sammy's Sandwich Shop. We would apply the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = delivery times

u = mean delivery time

s = standard deviation

From the information given,

u = 25 minutes

s = 2 minutes

We want to determine the z-score for the number of sandwiches delivered in less than 23 minutes. It becomes

z = (23 - 25)/2 = - 1

7 0
3 years ago
Solve for each equation<br> h divided by 4/9 for h = 5 1/3<br><br> A) 2 10/27<br> B) 10<br> C) 12
arsen [322]
<span>Solve for each equation
h divided by 4/9 for h = 5 1/3

   h                16/3
-------  = -----------------  
 4/9               4/9
= 16/3 * 9/4
= 12
answer is </span><span>C) 12</span>
6 0
3 years ago
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