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3 years ago

If a polygon is a triangle, then it is either acute or obtuse. Which is the hypothesis of the conditional?

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

7 0

Answer:

idk cuh

Step-by-step explanation:

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William picked 3 3/8

zalisa [80]

What is this asking I have no idea

8 0

3 years ago

In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist

Tcecarenko [31]

Answer:

a. 0.7291

b. 0.9968

c. 0.7259

Step-by-step explanation:

a. np and n(1-p) can be calculated as:

$np=23\times 0.48\\\\=11.04\\\\n(1-p)=23(1-0.52)\\\\=11.96$

#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

$\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408$

#Define Y:

Y~(11.04,5.7408)

$P(X\leq 12)\approx P(Y\leq 12.5)\\\\P(Z\leq \frac{(12.5-11.04)}{\sqrt{5.7408}})=\\\\=1-0.2709\\\\=0.7291$

Hence, the probability of 12 or fewer is 0.8291

b. The probability that 5 or more fish were caught.

#Using normal approximation:

$P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968$

Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

-From b above $P(X\geq 5)=0.9968$ and a , $P(X\leq 12)$ =0.7291

$P(5\leq X\leq 120\approx P(4.5\leq Y\leq 12.5)\\\\=0.7291-(1-0.9968)\\\\=0.7259$

Hence, the probability of between 5 and 12 is 0.7259

4 0

3 years ago

Two integers a and b have a product of 24.what is the least possible sum of a and b

OverLord2011 [107]

A x b = 24

Possible values of a and b are:
1 x 24 = 24
2 x 12 = 24
3 x 8 =24
4 x 6 = 24

The possible sums of a and b are:
1 + 24 = 25
2 + 12 = 14
3 + 8 = 11
4 + 6 = 10

Therefore, the least possible sum of a and b is 10.

8 0

3 years ago

Read 2 more answers

Given g(x) where f(x)= 3x-1 and g(x)= f(x+1). graph

tatiyna

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$f(x)=3x-1$

we know that

To find out the function f(x+1) exchange the variable x for (x+1) in the function f(x)

$f(x+1)=3(x+1)-1$

$f(x+1)=3x+3-1$

$f(x+1)=3x+2$

therefore

$g(x)=3x+2$

using a graphing tool

see the attached figure

5 0

3 years ago

Read 2 more answers

One of the legs of a right triangle measures 9cm and the other leg measures 8cm. Find the measure of the hypotenuse. If necessar

Aleks04 [339]

Answer:

12.0 cm

Step-by-step explanation:

Use Pythagorean theorem $a^2+b^2 = c^2$

a = 9

b = 8

hypotenuse = c = $\sqrt{8^2+9^2}$

c = 12.04 cm

4 0

2 years ago