All categories

3 years ago

Find y. Give your answer in the simplest form

Mathematics

2 answers:

alina1380 [7]3 years ago

6 0

Answer:

y = 3 $\sqrt{3}$

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° = $\frac{1}{\sqrt{3} }$ , then

tan30° = $\frac{opposite}{adjacent}$ = $\frac{3}{y}$ = $\frac{1}{\sqrt{3} }$ ( cross- multiply )

y = 3 $\sqrt{3}$

gtnhenbr [62]3 years ago

4 0

Answer:

$3 \sqrt{3}$

Step-by-step explanation:

$tan \: 60 \degree = \frac{y}{3} \\ \\ y = 3tan \: 60 \degree \\ \\ y = 3 \sqrt{3}$

You might be interested in

If May 4th crosses road with May 5th, what do you get?

nydimaria [60]

Answer:

i--dk but may the 4th is "May the fourth be with you" and may the fifth is "Revenge of the fifth"

Step-by-step explanation:

5 0

3 years ago

Calculate the value of k=xy

makkiz [27]

Answer:

x times y

Step-by-step explanation:

k is the value of x times y

7 0

3 years ago

Can anyone solve this for me ? please

Firdavs [7]

Answer:

Step-by-step explanation:

5 0

3 years ago

The diagonal is a of a rectangular field is 169m. If the ratio of the length to the width is 12:5 find the dimensions

Aleks04 [339]

Based on the calculations, the dimensions of the rectangle are

Length, L = 156 meters.
Width, w = 65 meters.

<h3>What is a diagonal?</h3>

The diagonal of a rectangle can be defined as a line segment that connects any two (2) of its non-adjacent vertices together while dividing the rectangle into two (2) equal parts.

Mathematically, the length of diagonals of a rectangle can be calculated by using this formula:

d = √(l² + w²)

Where:

d is the diagonal of a rectangle.

l is the length of a rectangle.

w is the width of a rectangle.

Since the ratio of the length to the width is 12:5, we have:

Width, w = 5l/12

Substituting the given parameters into the formula, we have;

169 = √(l² + (5l/12)²)

169² = l² + (5l/12)²

169² = l² + (25l²/144)

Length, L = 156 meters.

For the width, we have:

Width, w = 5l/12

Width, w = 5(156)/12

Width, w = 65 meters.

Read more on rectangle here: brainly.com/question/25292087

#SPJ1

4 0

2 years ago

Consider the probability that no less than 95 out of 152 registered voters will vote in the presidential election. Assume the pr

nikdorinn [45]

Answer:

0.3821 = 38.21% probability that no less than 95 out of 152 registered voters will vote in the presidential election.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed distributions can be 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

Assume the probability that a given registered voter will vote in the presidential election is 61%.

This means that $p = 0.61$

152 registed voters:

This means that $n = 152$

Mean and Standard deviation:

$\mu = E(X) = 152*0.61 = 92.72$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{152*0.61*0.39} = 6.01$

Probability that no less than 95 out of 152 registered voters will vote in the presidential election.

This is, using continuity correction, $P(X \geq 95 - 0.5) = P(X \geq 94.5)$ , which is 1 subtracted by the pvalue of Z when X = 94.5. So

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

$Z = \frac{94.5 - 92.72}{6.01}$

$Z = 0.3$

$Z = 0.3$ has a pvalue of 0.6179

1 - 0.6179 = 0.3821

0.3821 = 38.21% probability that no less than 95 out of 152 registered voters will vote in the presidential election.

6 0

3 years ago