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Gnesinka [82]
3 years ago
13

Write a conditional statement that correctly describes each venn diagram in the space provided?

Mathematics
1 answer:
MakcuM [25]3 years ago
7 0
Remember that a conditional statement (p→q) is an if-then in which the first part, p, is the hypothesis and the second part, q, is the conclusion. 

1. Here the set m<span>∠A=40° is a subset of the set Acute Angles, so </span>m∠A=40° is the hypothesis and Acute Angles is the conclusion. 
In other words:
m∠A=40°→∠A is an Acute Angle 
if m∠A=40°, then ∠A is an Acute Angle

We can conclude that the conditional statement that describes the Venn diagram is: if m∠A=40°, then ∠A is an Acute Angle

2. Just like before, the set 2x=4 is a subset of the set x=2; therefore, 2x=4 is the hypothesis and x=2 is the conclusion.
In other words:
2x=4→x=2
if 2x=4, then x=2

We can conclude that the conditional statement that describes the Venn diagram is: if 2x=4, then x=2
You might be interested in
Dan invests £18790 into his bank account. He receives 4.9% per year simple interest. How much will Dan have after 3 years? Give
garri49 [273]

Answer:

£21552.

Step-by-step explanation:

Given information:

Principal amount = £18790

Rate of simple interest =4.9% = 0.049 per year

Time = 3 years

Formula for simple interest:

I=P\times r\times t

where, P is principal, r is rate of interest and t is time in years.

I=18790\times 0.049\times 3

I=2762.13

Total amount after 3 year is

A=P+I

A=18790+2762.13

A=21552.13

A\approx 21552

Therefore, Dan have £21552 after 3 years.

8 0
4 years ago
Plz help. Will mark the brainliest
aliya0001 [1]

Answer:

A: g(x)

Step-by-step explanation:

The equation is technically in vertex form "y = a(x – h)² + k", where the vertex is (h, k).

For the domain and range to be as stated in the problem, your "vertex" needs to be (2, 3), and so you want y = a(x – 2)² + 3 which is answer choice A

3 0
3 years ago
The correlation between the height and weight of children aged 6 to 9 is found to be about r = 0.8. Suppose we use the height x
Andrew [12]

Answer:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}

The value of r is always between -1 \leq r \leq 1

And we have another measure related to the correlation coefficient called the R square and this value measures the % of variance explained between the two variables of interest, and for this case we have:

r^2 = 0.8^2 = 0.64

So then the best conclusion for this case would be:

c. the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.

Step-by-step explanation:

For this case we know that the correlation between the height and weight of children aged 6 to 9 is found to be about r = 0.8. And we know that we use the height x of a child to predict the weight y of the child

We need to rememeber that the correlation is a measure of dispersion of the data and is given by this formula:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}

The value of r is always between -1 \leq r \leq 1

And we have another measure related to the correlation coefficient called the R square and this value measures the % of variance explained between the two variables of interest, and for this case we have:

r^2 = 0.8^2 = 0.64

So then the best conclusion for this case would be:

c. the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.

3 0
3 years ago
Type the correct answer in the box. The motion of a clock pendulum is modeled by this graph. The function describing this graph
Andreyy89

Answer:

The range of the function is -10, 10.

 The period of the function is 1.2 seconds.

The maximum of the function is 10 centimeters.

Step-by-step explanation:

The range of a cosine function is the set of output values. In this situation, the range is the distance the pendulum covers, which is represented on the D(t) axis. The graph shows that the range of the function D(t) is [-10, 10].

The period is the length of a cycle. The graph shows that the cycle repeats every 1.2 seconds.

The maximum is the y-value of the highest point on the graph. The graph shows the maximum of the function is 10 centimeters.

4 0
4 years ago
Find the values of the three missing values in the parallelogram the diagram is not to scale
Naddika [18.5K]
Parallelogram so opposite sites are parallel
then
<1 = 113
<2 = 45
<3 = 22

hope it helps
3 0
3 years ago
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