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Ipatiy [6.2K]
2 years ago
10

How many sets of four consecutive positive integers are there such that the product of the four integers is less than $100,\!000

$
Mathematics
1 answer:
SVEN [57.7K]2 years ago
4 0

Answer:

16,17,18,19

Step-by-step explanation:

one guy guessed. probably using a calculator

another guy took the 4th root of 100,000 and rounded down a number

(a third way started like this

n*(n+1)*(n+2)(n+3)=100000

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Select the correct answer. Two exterior angles of a triangle measure 135° and 100°. What are the measures of the interior angles
ozzi

Answer:

C

Step-by-step explanation:

interior angle + exterior angle are supplementary

interior angle = 180° - exterior angle

⇒ interior angle = 180° - 135° = 45°

and interior angle = 180° - 100° = 80°

The sum of the 3 angles in a triangle = 180°

To find the third interior angle, subtract the sum of the 2 interior angles from 180

third interior angle = 180° - (45 + 80 )° = 180° - 125° = 55°

interior angles are 45°, 55° and 80°


4 0
3 years ago
When factoring x2 – 3xy + 2y2 by grouping the first step can be:
blagie [28]

Answer:

x^2 – 3xy + 2y^2

Step-by-step explanation:

Factor the following:

x^2 - 3 x y + 2 y^2

Hint: | Factor the quadratic x^2 - 3 x y + 2 y^2.

The factors of 2 that sum to -3 are -1 and -2. So, x^2 - 3 x y + 2 y^2 = (x - 1 y) (x - 2 y):

Answer:  (x - y) (x - 2 y)

8 0
3 years ago
Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 240 rounds. At what
lyudmila [28]

Answer:

40

Step-by-step explanation:

4 0
3 years ago
Show work to triangles 2 and 3 explaining why they are right triangles
olganol [36]

Answer:

Step-by-step explanation:

In order for a triangle to be a right triangle, it has to fit into Pythagorean's Theorem:

a^2+b^2=c^2 where c is the hypotenuse.

We need to figure out which is the longest side in each of those triangles and that is the hypotenuse.

In the first set, the sqrt of 443 is 21.04, but that is not the longest side; 24 is. So the Theorem formula for that is:

\sqrt{443}^2+17^2=24^2 which gives us

443 + 289 = 576, but 732 does not equal 576, so that one is not right.

In the second set, the sqrt of 725 is the longest side, so that formula is:

\sqrt{725}^2=14^2+23^2 which gives us

725 = 196 + 529, and 725 does equal 725, so that one is right.

In the third set, the sqrt of 890 is the longest side, so:

\sqrt{890}^2=19^2+23^2, which gives us

890 = 361 + 529, and 890 = 890, so that is a right triangle as well. That's how you know those are right, compared to the first one that is not.

6 0
3 years ago
At Least One Defective iPhone It has been reported that 20% of iPhones manufactured by Foxconn for a product launch did not meet
bija089 [108]
We can use the binomial theorem to find the probability that 0 out of the 15 samples will be defective, given that 20% are defective.
P(0/15) = (15C0) (0.2)^0 (1 - 0.2)^15 = (1)(1)(0.8)^15 = 0.0352
Then the probability that at least 1 is defective is equal to 1 - 0.0352 = 0.9648. This means there is a 96.48% chance that at least 1 of the 15 samples will be found defective. This is probably sufficient, though it depends on her significance level. If the usual 95% is used, then this is enough.
7 0
3 years ago
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