Name the vertices of the square

ruslelena [56]

Answer:

$\frac{2}{7}$

Step-by-step explanation:

$\frac{7}{2}$ ÷ $\frac{49}{4}$ needs to be flipped and multiplied.

It will become $\frac{7}{2}$ · $\frac{4}{49}$ .

Simplify the fractions by replacing 7 with 1 and 49 with 7, since 7 is 1/7 of 49. Then, turn the 2 into a 1 and the 4 into a 2, since 2 is half of 4.

You will be left with 1 · $\frac{2}{7}$ , which equals $\frac{2}{7}$

4 0

3 years ago

Which compound sentence has its solution set shown on the graph below

musickatia [10]

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time.

“Or” indicates that, as long as either statement is true, the entire compound sentence is true.

Now as shown in the graph, the solution inequality of the graph is :

x > 3 and x < 5 [please note, circles in the graph indicate exclusion, dots indicate inclusion. in the graph given circles are shown, so it depicts exclusion]

Now let's solve each option to find if it fits in with the above inequality

Option 1 : 2x-4 > 6 or 3x < 9

⇒ x > 5 or x < 3

Option 2 : 2x - 4 < 6 and 3x > 9

⇒ x < 5 and x > 3

Option 3 : 3x + 8 > -7 or -4x < 12

⇒ 3x > -15 or x < -3

⇒ x > -5 or x < -3

Option 4 : 3x + 8 < -7 and -4x > 12

⇒ 3x < -15 and x > -3

⇒ x < -5 and x > -3

So the compound sentence in option 2 : 2x - 4 < 6 and 3x > 9

has its solution set on the graph.

8 0

3 years ago

How to find the value of each trigonometric ratio

Mkey [24]

D

First draw a line from c to the opposite side which is 16
So 16 is the opposite 30 is adjacent 34 is hypotenuse

Cosine is adjacent over hypotenuse 30/34 reduce by 2 2x 15=30 and 2x17=34
Hope you understand so you can do it next time

3 0

3 years ago

It is estimated that approximately 8.23% Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation for

allsm [11]

The probabilities in this problem are given as follows:

a) False positive: 0.0321 = 3.21%.

b) Diagnosed as not having diabetes: 0.8872 = 88.72%.

c) Actually has diabetes, if diagnosed as not having: 0.0019 = 0.19%.

<h3>What is Conditional Probability?</h3>

Conditional probability is the probability of one event happening, considering a previous event. The formula is given as follows:

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which the parameters are described as follows:

P(B|A) is the probability of event B happening, given that event A happened.

$P(A \cap B)$ is the probability of both events A and B happening.

P(A) is the probability of event A happening.

For item a, we have that:

100 - 8.23 = 91.77% of the people do not have diabetes.

Of those, 3.5% are diagnosed with diabetes.

Hence the probability of a false positive is given as follows:

p = 0.9177 x 0.035 = 0.0321 = 3.21%.

For item b, the percentage of people who is not diagnosed as having diabetes is divided as:

96.5% of 91.77% (do not have diabetes).

2% of 8.23% (have diabetes).

Hence the probability is:

P(A) = 0.965 x 0.9177 + 0.02 x 0.0823 = 0.8872 = 88.72%.

For item c, we find the conditional probability, as follows:

$P(A \cap B) = 0.02 \times 0.0823 = 0.001646$

Then:

P(B|A) = 0.001646/0.8872 = 0.0019 = 0.19%.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

7 0

2 years ago

On a map ,shantis house is located at (-5,6) and the middle school is located at (-5,-4) and the elementary school is located at

tino4ka555 [31]

Answer:

Shanti is 10 units away from the middle school

Step-by-step explanation:

Plot the given points on an x-y coordinate set of axes as shown in the attached image.

Notice that Shanti's location is given with an orange point, and that the middle school location with a green point.

Since they both have the same x-coordinate value (-5), it is very simple to calculate the distance in between them by simply counting the number of units that separate them vertically.

If you do such you get your answer: 10 units.

7 0

3 years ago