A surveyor measures the angle of elevation

The angle of depression of a car C, from the top of the building of height 100m is

Crazy boy [7]

Answer:

a) 148.26 m

b) 21.94 degrees

Step-by-step explanation:

a)

tan 56 = 100/x

1.4826 = 100/x

x = 148.26

b)

148.26 + 100 = 248.26

tan y = 100/248.26

tan y = 0.4028

y = 21.94 degrees

4 0

3 years ago

Timothy creates a game in which the player rolls 4 dice. What is the probability in this game of having exactly two dice or more

devlian [24]

Answer:

B. 0.132

Step-by-step explanation:

For each time the dice is thrown, there are only two possible outcomes. Either it lands on a five, or it does not. The probability of a throw landing on a five is independent of other throws. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Timothy creates a game in which the player rolls 4 dice.

This means that $n = 4$

The dice can land in 6 numbers, one of which is 5.

This means that $p = \frac{1}{6}$

What is the probability in this game of having exactly two dice or more land on a five?

$P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{4,2}.(\frac{1}{6})^{2}.(\frac{5}{6})^{2} = 0.116$

$P(X = 3) = C_{4,2}.(\frac{1}{6})^{3}.(\frac{5}{6})^{1} = 0.015$

$P(X = 4) = C_{4,4}.(\frac{1}{6})^{4}.(\frac{5}{6})^{0} = 0.001$

$P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.116 + 0.015 + 0.001 = 0.132$

So the correct answer is:

B. 0.132

8 0

3 years ago

grace scored 17 ot of 20 on her reading quiz and 20 out of 25 on her science quiz. on which quiz did grace score a higher percen

almond37 [142]

Her reading quiz, because in order to find a percent dive 17 by 20 (or 20 by 25) and multiply the answer by 100.

8 0

3 years ago

Read 2 more answers

The plane flew over a beacon which is 280 miles from bristol. write down the gmt times when the plane flew over the beacon.

eimsori [14]

According to graph, GMT time when the plane flew over the beacon was 9:24.

While looking closely at the graph on x axis , one will notice that each hour is divided into 5 parts and hence each part has 12 minutes. looking at y axis, one may find that each part on y axis resembles 20miles. Hence at 280 miles away from Bristol, The GMT time is 9:24.

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

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.

The relationships between two or more items are frequently represented by the points on a graph.
The study of graphs, which are mathematical constructions used to represent pairwise relationships between things, is known as graph theory in mathematics. Vertices (also known as nodes or points) make up a graph in this sense, which are connected by edges (also called links or lines).
Undirected graphs, in which edges connect two vertices symmetrically, are distinguished from directed graphs, in which edges connect two vertices asymmetrically. One of the main topics of study in discrete mathematics is graphs.

Know more about graph numerical

brainly.com/question/16608196

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7 0

2 years ago

It is found that the number of raisins in a box of a popular cereal is normally distributed, with a mean of 133 raisins per box

gogolik [260]

Answer:

1.4

Step-by-step explanation:

We have been given that the number of raisins in a box of a popular cereal is normally distributed, with a mean of 133 raisins per box and a standard deviation of 10 raisins. My cereal box has 147 raisins.

To find the z-score for this box of cereal, we will use z-score formula.

$z=\frac{x-\mu}{\sigma}$ , where,