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Verdich [7]
3 years ago
11

Which of the following illustrates the truth value of the given conditional statement?

Mathematics
1 answer:
Alexxx [7]3 years ago
6 0

Answer:

Option A is correct

Step-by-step explanation:

First Statement is  P: Water is wet

Second statement is Q: 5+3 =15

Truth value of P = T

Truth value of Q = F

And we have  T implies F gives F

so its F .

therefore option first is true.

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A circle has a radius of 6.87 feet. What is the circumference of this circle? Use 3.14 for pi. Round your final answer to the ne
Vika [28.1K]

Answer:

The circumference of this circle is 43.1 feet.

Step-by-step explanation:

Circumference of a circle = 2\pi r

Where,

r is the radius of the circle.

Therefore, we can find the circumference of the circle by substituting the values to the equation:

2\pi 6.87

2*3.14* 6.87

43.1436

The circumference of this circle is 43.1 feet. (Rounded to the nearest tenth)


8 0
3 years ago
Read 2 more answers
What is the expression in factored form?x^2+13x+14
nydimaria [60]

Answer:

\left(x-\dfrac{-13+\sqrt{113}}{2}\right)\left(x-\dfrac{-13-\sqrt{113}}{2}\right).

Step-by-step explanation:

To factor the expression x^2+13x+14 you need to know its roots.

First find the discriminant of this quadratic polynomial:

D=13^2-4\cdot 1\cdot 14=169-56=113.

Then the roots of the expression x^2+13x+14 are

x_{1,2}=\dfrac{-13\pm \sqrt{113}}{2}.

Now the factored form is

\left(x-\dfrac{-13+\sqrt{113}}{2}\right)\left(x-\dfrac{-13-\sqrt{113}}{2}\right).

8 0
3 years ago
Which statement best explains whether △ABC is similar to △DEF?
Elena L [17]

The statement which best describes the similarity of the two triangles is; Choice D; There is not enough information to determine whether the triangles are similar.

<h3>Which statement best explains whether △ABC is similar to △DEF?</h3>

The two triangles given in the task content are expected to be assessed to determine if they are similar.

From the concept of congruence in triangles, two triangles are congruent only if all 3 angle measures in one are similar to that in the other, or if the ratio of all corresponding pairs of sides are equal.

Hence, since neither of the conditions is satisfied by the information given, it follows that Choice D is correct.

Read more on congruent triangles;

brainly.com/question/1675117

#SPJ1

8 0
2 years ago
So what can we do for this
Fantom [35]

Answer:

7, 4

this should be correct

3 0
3 years ago
Read 2 more answers
A famous Premier-league footballer was quoted on Match of the Day to have a goal-scoring statistic of 0.36
stepan [7]

Answer:

13a.\  The \ probability\ of \ scoring\ a\  goal\  in\  a\  game\  is\  0.36\\\\b. 3 \ games

14.

a. \ \£90\\b. \ 26 \ weeks\\c. \ \£4,860

15. This is not possible since p(yellow)=0.10 which is less than the stated 0.35

Step-by-step explanation:

13 a. -A goal-scoring statistic is the probability of a player scoring one goal in any given game played.

-A 0.36 goal scoring statistic means that the player has a 0.36 or 36% chance of scoring a goal in any game that he is involved in.

b. To determine the number of games it takes to score a whole goal, we divide the probability by 1 goal:

Games=\frac{1 \ game}{p(goal)}\\\\=\frac{1}{0.36}\\\\=2.778\approx 3

Hence, it takes approximately 3 games to score a full goal.

14.-The cost of a GCSE retake is £600 and attracts a 15% deposit

#The 15% equivalent in actual pounds is calculated by multiplying the percentage by the total cost as:

C_g=0.15\times 600\\\\=\£90

Hence, the 15%  deposit amount equals £90

b.#The student pays the balance in a £20 per week scheme,the total number of weeks is calculated as:

t=\frac{Balance}{Rate}\\\\=\frac{600-90}{20}\\\\=\frac{510}{20}\\\\=25.5\approx 26

Hence, it takes 26 weeks to clear the balance.

c. Given that 10% is the equivalent of £450

-We divide this amount by 10% to get the 100% equivalent

#We know that 10%=0.10

100\%=\frac{540}{0.1}\\\\=\£5400

#Alternatively, 100% divided by 10% is 10. Multiply this value by £540:

=540\times 10\\\\=\£5400

We subtract the discount amount for the per-discount price:

Cost=Total -discount\\\\=5400-540\\\\=\£4860

Hence, it will cost £4,860 without the discount.

15. Since we are not given the proportion of colors in the bag, we assume that all the 10 beads have different colors.

-As such, the sample space is 10 and each color has an equal chance of being picked:

P(Each \ Color)=P(Yellow)=\frac{1}{10}\\\\\therefore P(Yellow)

Hence, this is impossible since 0.10<0.35

7 0
3 years ago
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