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Margarita [4]
3 years ago
12

Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tent

h.

Mathematics
1 answer:
Fantom [35]3 years ago
3 0

Answer:

y = 8

x = 11.3

option 2

Step-by-step explanation:

We can recognize this right triangle as a special triangle, a 45° - 45° - 90° triangle more specifically. This triangle would be isosceles because the two base angles are both 45°. Since the triangle is isosceles, we can say that the legs are congruent, so y = 8. In a 45° - 45° - 90° triangle, the hypotenuse is √2 times the legs. To find x, we can set up the equation:

8 * √2 =x

x = 8√2 or about 11.3

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Dan is watching the birds in his backyard he watches none of them or 45% are sparrows how many birds are in his backyard
nadezda [96]

Answer:

If 9 of the sparrows is 45% of the birds in the backyard, 9/x = 45/100.

Cross multiply to get 9 * 100 = 45x; simplified is 900 = 45x or 20.

This means that there are 20 birds in the backyard. You can check this by dividing 9/20 which equals 45%

none??' you mean nine?

3 0
3 years ago
Convert radical to exponential<br> 6√(10x)^7<br> ∛43<br> √(5x)^5
sattari [20]

Answer:

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4 0
3 years ago
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.5 years, and standard deviation of
Alina [70]

Answer:

If 24 items are picked at random, 8% of the time their mean life will be less than 5.156 years.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 5.5, \sigma = 1.2, n = 24, s = \frac{1.2}{\sqrt{24}} = 0.2449

If 24 items are picked at random, 8% of the time their mean life will be less than how many years?

This is the value of X when Z has a pvalue of 0.08. So it is X when Z = -1.405.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

-1.405 = \frac{X - 5.5}{0.2449}

X - 5.5 = -1.405*0.2449

X = 5.156

If 24 items are picked at random, 8% of the time their mean life will be less than 5.156 years.

3 0
3 years ago
!/8 pound of fertilizer covers 25 square feet of ground, how much fertilizer, in pounds, is needed to cover 1 square foot ground
suter [353]

Answer:

  • 1/200 pounds

Step-by-step explanation:

<u>Given ratio</u>

  • 1/8 pound ⇔ 25 square feet

<u>To find </u>

  • x ⇔ 1 square foot

<u>Divide both sides by 25</u>

  • 1/8÷25 pounds ⇔ 25÷25 square feet
  • 1/200 pounds ⇔ 1 square foot
3 0
3 years ago
Read 2 more answers
The value of y varies directly with x. If x = 3, then y = 22. What is the value of x when y equals 105
Nutka1998 [239]

Answer:

Varies directly uses the formula: y/x = k

22/3 = 7.33

105/x = 7.33

105/x (7.33/x) = 7.33(x/7.33)

105/7.33 = x

x = 14.32

6 0
3 years ago
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