Given Q'R'S'T' is a dilation of QRST, find the scale factor of dilation.

12-km run. How many miles is the run?

elena-14-01-66 [18.8K]

Answer:

the amount of miles in 12km

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

All the fourth-graders in a certain elementary school took a standardized test. A total of 85% of the students were found to be

Aneli [31]

Answer:

There is a 2% probability that the student is proficient in neither reading nor mathematics.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a student is proficient in reading

B is the probability that a student is proficient in mathematics.

C is the probability that a student is proficient in neither reading nor mathematics.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a student is proficient in reading but not mathematics and $A \cap B$ is the probability that a student is proficient in both reading and mathematics.

By the same logic, we have that:

$B = b + (A \cap B)$

Either a student in proficient in at least one of reading or mathematics, or a student is proficient in neither of those. The sum of the probabilities of these events is decimal 1. So

$(A \cup B) + C = 1$

In which

$(A \cup B) = a + b + (A \cap B)$

65% were found to be proficient in both reading and mathematics.

This means that $A \cap B = 0.65$

78% were found to be proficient in mathematics

This means that $B = 0.78$

$B = b + (A \cap B)$

$0.78 = b + 0.65$

$b = 0.13$

85% of the students were found to be proficient in reading

This means that $A = 0.85$

$A = a + (A \cap B)$

$0.85 = a + 0.65$

$a = 0.20$

Proficient in at least one:

$(A \cup B) = a + b + (A \cap B) = 0.20 + 0.13 + 0.65 = 0.98$

What is the probability that the student is proficient in neither reading nor mathematics?

$(A \cup B) + C = 1$

$C = 1 - (A \cup B) = 1 - 0.98 = 0.02$

There is a 2% probability that the student is proficient in neither reading nor mathematics.

6 0

3 years ago

Hello! Could y’all please explain why this is Decay and not growth?

svetlana [45]

Answer:

This is an Exponential Decay

Step-by-step explanation:

A = 1200(0.85)⁶

The above expression is an Exponential Decay because 0.85 is less than 1

The formula for Exponential Decay

= y = a (1 - r)^t

We equate both equation together

Where

a = 1200

1 - r = 0.85

t = 6

Solving for r

1 - r = 0.85

r = 1 - 0.85

r = 0.15

Converting to Percentage

r = 15% decay rate

3 0

3 years ago

Please may someone help with c

german

Step-by-step explanation:

Distance between two villages = d

$(a) \: \frac{4}{5} \: of \: d = \frac{4}{5} d \\ \\ (b) \: \frac{3}{4} \: of \: d = \frac{3}{4} d \\ \\ (c) \: \frac{4}{5} d - \frac{3}{4} d = 1.5 \\ \\ \therefore \: \bigg(\frac{4}{5} - \frac{3}{4} \bigg) d = 1.5 \\ \\ \therefore \: \bigg(\frac{4 \times 4 - 3 \times 5}{5 \times 4} \bigg) d = 1.5 \\ \\ \therefore \: \bigg(\frac{16- 15}{20} \bigg) d = 1.5 \\ \\ \therefore \: \bigg(\frac{1}{20} \bigg) d = 1.5 \\ \\ \therefore \: d = 1.5 \times 20 \\ \\ \: \: \: \: \: \huge \orange{ \boxed{{ \therefore \: d = 30}}}$

4 0

4 years ago

What is the measure of angle A?

antoniya [11.8K]

Answer:

A = 19.47

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin A = 2/6

Take the inverse sin of each side

sin ^-1 ( sin A) = sin ^-1 (2/6)

A =19.47122063

To the nearest hundredth

A = 19.47

3 0

4 years ago