What is the area of the given trapezoid ABCD?

Vanyuwa [196]

x is strictly less than 2 or x ∈ (-∞, 2)

Given: inequality 5x - 7 < 2x - 1

What are inequalities?

Inequalities are statements that are represented as comparison between two or more numbers or algebraic expressions.(strictly less, strictly great, greater, lesser)

Solving the given equation:

5x - 7 < 2x - 1

=> 5x - 7 - 2x < 2x - 1 - 2x

=> 3x - 7 < -1

=> 3x - 7 + 7 < -1 + 7

=> 3x < 6

=> x < 2

Therefore, x is strictly less than 2.

Hence x ∈ (-∞, 2)

The number line is attached below.

Know more about "inequalities" here: brainly.com/question/20383699

#SPJ9

Disclaimer: The given question is incomplete. The complete question is given below.

Solve the inequality 5x - 7 < 2x - 1

On the number line, represent the solution

(number line -5 to 5)

5 0

1 year ago

In a geometric sequence, a2 = 2, a3 = 20, & a4 = 200.

babymother [125]

Answer:

the first one

the first one Step-by-step explanation:

the first one Step-by-step explanation:from the formula Un =ar^n-1

where a is 2

where a is 2 r = 20/2=10

where a is 2 r = 20/2=10 so Un= 10×2^n-1

that's all.....have fun

5 0

3 years ago

A rectangle has dimensions . by . What is the length of the diagonal of the rectangle?

Makovka662 [10]

Answer:

$3\sqrt{5}$ units

Step-by-step explanation:

Use the Pythagorean Theorem to find the diagonal:

You have that the sides are 3 and 6, so a = 3 and b = 6, which means:

$3^2 + 6^2 = c^2\\9 + 36 = c^2\\45 = c^2\\c = 3\sqrt{5}$

4 0

3 years ago

Write an expression that represents "10 less than y"?

Kryger [21]

10 less than y

y - 10 should be your expression

hope this helps

5 0

3 years ago

Two coins, A and B, each have a side for heads and a side for tails. When coin A is tossed, the probability it will land tails-s

BlackZzzverrR [31]

Answer:

Is the number of tosses for each coin enough for the sampling distribution of the difference in sample proportions PA-PB to be approximately normal?

b. No, 20 tosses for coin A is enough, but 20 tosses for coin B is not enough.

Step-by-step explanation:

a) Data and Calculations:

The probability of coin A landing tails-side up = 0.5

The proportion of times coin A lands tails-side up (PA) = 20 * 0.5 = 10

Therefore, the probability of coin A landing heads-side up = 0.5 (1 - 0.5)

And the proportion of times that coin A lands heads-side up = 20 * 0.5 = 10.

The proportion on either side is equally distributed.

This is why 20 tosses for coin A is enough, since the sample proportions PA is approximately normal, symmetric, and equally distributed. There will be equal amounts of 10 tosses (0.5 *20) for either heads-side up or tails-side up.

For coin B, the probability of landing tails-side up = 0.8

The proportion of times coin B lands tails-side up (PB) = 20 * 0.8 = 16

Therefore, the probability of coin B landing heads-side up = 0.2 (1 - 0-.8)

The proportion on either side is not equally distributed, but skewed.

This is why 20 tosses for coin B is not enough, since the sample proportions PB is not approximately normal, symmetric, and equally distributed. There will be 16 tosses landing tails-side up (0.8*20) and only 4 tosses landing heads-side up (0.2*20).

6 0

3 years ago