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Troyanec [42]
3 years ago
10

I need help on this question

Mathematics
1 answer:
viva [34]3 years ago
8 0

Hi!

The line of symmetry is a line that has equal parts of the shape on both sides of it.

Look at the shape. Is there a place where you can put a line that divides it in half? Or will one part of it still be unequal?

I included an image that shows the line of symmetry. Note how the halves of the triangle on both sides of the line are equal.

The line of symmetry is x = 3

Hope this helps! :)

-Peredhel

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The pay, P, at a certain job is calculated by the formula P=Bh, where b is the base pay and h is the number of hours worked. if
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If you would like to know the Tom's pay for the week, you can calculate this using the following steps:

P = B * h
P ... the pay
B ... the base pay
h ... the number of hours worked

B = $6.35
h = 28 hours
P = B * h = $6.35 * 28 hours = $177.8

<span>Tom's pay for the week would be $177.8.</span>
5 0
3 years ago
Carly has a coupon for 15% off the
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15% = 0.15

234.00 x 0.15 = 35.10

234.00 - 35.10 = 198.90

The camera will cost $198.90 after the discount.
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3 years ago
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Plzzzz help Lia brought 21 shirts and plants. Her total was $357. Pants cost $25 each, and shirts cost $14.50 each. How many of
OverLord2011 [107]

Answer:

she brought 21 shirts and 2 pants

Step-by-step explanation:

shirts

21× 14.50 = 304.5

357- 304.5 = 52.5

pants

52.5 ÷ 25 = 2.1

5 0
3 years ago
At the local college, a study found that students earned an average of 14.8 credit hours per semester. A sample of 94 students w
ozzi

Answer:

By the Central Limit Theorem, the best point estimate for the average number of credit hours per semester for all students at the local college is 14.8.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of the sample:

14.8 credit hours per semester.

So

By the Central Limit Theorem, the best point estimate for the average number of credit hours per semester for all students at the local college is 14.8.

6 0
3 years ago
1. Consider the following hypotheses:
Andrej [43]

Answer:

See deductions below

Step-by-step explanation:

1)

a) p(y)∧q(y) for some y (Existencial instantiation to H1)

b) q(y) for some y (Simplification of a))

c) q(y) → r(y) for all y (Universal instatiation to H2)

d) r(y) for some y (Modus Ponens using b and c)

e) p(y) for some y (Simplification of a)

f) p(y)∧r(y) for some y (Conjunction of d) and e))

g) ∃x (p(x) ∧ r(x)) (Existencial generalization of f)

2)

a) ¬C(x) → ¬A(x) for all x (Universal instatiation of H1)

b) A(x) for some x (Existencial instatiation of H3)

c) ¬(¬C(x)) for some x (Modus Tollens using a and b)

d) C(x) for some x (Double negation of c)

e) A(x) → ∀y B(y) for all x (Universal instantiation of H2)

f)  ∀y B(y) (Modus ponens using b and e)

g) B(y) for all y (Universal instantiation of f)

h) B(x)∧C(x) for some x (Conjunction of g and d, selecting y=x on g)

i) ∃x (B(x) ∧ C(x)) (Existencial generalization of h)

3) We will prove that this formula leads to a contradiction.

a) ∀y (P (x, y) ↔ ¬P (y, y)) for some x (Existencial instatiation of hypothesis)

b) P (x, y) ↔ ¬P (y, y) for some x, and for all y (Universal instantiation of a)

c) P (x, x) ↔ ¬P (x, x) (Take y=x in b)

But c) is a contradiction (for example, using truth tables). Hence the formula is not satisfiable.

7 0
3 years ago
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