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artcher [175]
2 years ago
8

Determine whether the sets have a subset relationship. R = {right triangles} O = {obtuse triangles} a) R and O are disjoint. b)

R and O are equivalent. c) Subset of R and O is all triangles. d) Subset of R and O is all acute triangles. e) Subset of R and O is all triangles with two acute angles f) None of the above
Mathematics
1 answer:
DerKrebs [107]2 years ago
5 0

Answer:

f

Step-by-step explanation:

A right angled triangle has one angle equal to 90°

an obtuse angle triangle has one angle greater tan 90°

a) An o and right-angled triangle btuse angled triangle can have one angle equal.

b) R and O are not equivalent by definition

c)  subset of R and Oare not all triangles as R and O are categories of all triangles. R and O are subset of all triangles

d) Acute triangles have all acute angles. So subset of R and O can't be all acute traingles

e) All triangles with two acute angles are may or may not have third angle as obtuse angle or 90° angle

f) none of the above

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Last year Boris paid £256 for his car insurance.
jenyasd209 [6]

Answer:

The percentage increase in the cost of Boris car insurance cost is 249%

Step-by-step explanation:

In this question, we want to calculate the percentage increase in the cost of car insurance paid by Boris

Mathematically, to calculate this percentage increase, we shall need to make use of a mathematical formula.

Mathematically, the percentage increase would be;

{(new value paid-old value paid)/old value paid} * 100%

From the question, we can identify that the old value paid is £256 while the new value paid is £894

Thus, the percentage increase would be ;

(894-256)/256 * 100% = 638/256 * 100 = 2.4921875 * 100 = 249.21875 which is 249% increase to the nearest whole percentage

6 0
2 years ago
The Ignorance Survey: United Kingdom A survey was conducted in the United Kingdom, where respondents were asked if they had a un
lukranit [14]

Answer:

Here we have given two catogaries as degree holder and non degree holder.

So here we have to test the hypothesis that,

H0 : p1 = p2 Vs H1 : p1 not= p2

where p1 is population proportion of degree holder.

p2 is population proportion of non degree holder.

Assume alpha = level of significance = 5% = 0.05

The test is two tailed.

Here test statistic follows standard normal distribution.

The test statistic is,

Z = (p1^ - p2^) / SE

where SE = sqrt[(p^*q^)/n1 + (p^*q^)/n2]

p1^ = x1/n1

p2^ = x2/n2

p^ = (x1+x2) / (n1+n2)

This we can done in TI_83 calculator.

steps :

STAT --> TESTS --> 6:2-PropZTest --> ENTER --> Input all the values --> select alternative "not= P2" --> ENTER --> Calculate --> ENTER

Test statistic Z = 1.60

P-value = 0.1090

P-value > alpha

Fail to reject H0 or accept H0 at 5% level of significance.

Conclusion : There is not sufficient evidence to say that  the percent of correct answers is significantly different between degree holders and non-degree holders.

7 0
2 years ago
The Reverend Henry Whitehead was skeptical of John Snow's conclusion about the Broad Street pump. After the Broad Street cholera
Mamont248 [21]

Answer:

The main reason it was important to study this group was:

1) If Whitehead had found that many people had drunk water from the Broad Street pump and not caught cholera, that would have been evidence against Snow's hypothesis.

Step-by-step explanation:

But Dr. John Snow was able to convince many councillors who ensured that the pump handle was removed from the Broad Street pump.  Within a few days of this removal, the cholera epidemic ended.  This step proved that Dr. Snow was right from the beginning.  The pump handle was the means that the cholera epidemic was being spread from one person to another within Broad Street area, since many usually fetch water from the pump.

4 0
2 years ago
Mrs. Smythe is twice as old as her daughter Samantha. Ten years ago the sum of their ages was 46 years. How old is Mrs. Smythe?
Fynjy0 [20]
Mrs. Smythe = x
Daughter = y

x = 2y
(x - 10) + (y - 10) = 46
x - 10 + y - 10 = 46
x + y - 20 = 46
x + y = 66
Put 2y in for x
2y + y = 66
3y = 66
y = 66/3
y = 22

The daughter is 22
The mother = 44
7 0
2 years ago
Which rule describes the composition of transformations that maps ΔABC to ΔA"B"C"?
MaRussiya [10]

Answer:

<h2>Reflection across the<em> x-axis</em> composition translation of negative 6 units <em>x</em>, negative 2 units <em>y</em>.</h2>

Step-by-step explanation:

To find the right order in this transformations from ΔABC to ΔA"B"C", we first need to consider that the initial figure is ΔABC, which is transformed to  ΔA'B'C', and then to  ΔA''B''C''.

So, from the image we can see that from ΔABC to  ΔA'B'C', the transformation applied is reflection across the <em>x-axis</em>, because ΔA'B'C' is an inverted image of the original, like a mirror.

Then, from ΔA'B'C' to ΔA''B''C'', we can see that the transformation is a combination of translations, to the left side and down side. From the graph we can see that it moved exactly, 6 negative units in the direction of the <em>x-axis</em>, and 2 negative units in the direction of the <em>y- axis</em>, in other words, it moved 6 units to the left and 2 units down.

Therefore, the correct answer is the second one:

<em>Reflection across the x-axis composition translation of negative 6 units x, negative 2 units y.</em>

<em></em>

4 0
2 years ago
Read 2 more answers
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