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3 years ago

A plane traveling with a velocity measured in meters per second, is described by vector a = 5,6). Find the

Mathematics

1 answer:

ryzh [129]3 years ago

3 0

Answer:

The speed of the plane is $v=1.2\: m/s$

Step-by-step explanation:

The vector (5,6) represents a point in the coordinate system time-position.

So, we have that at t = 5 s the position is x = 6.

Let's recall that the slope of this vector is the speed, then using the tangent definition:

$v=\frac{x}{t}=\frac{6}{5}$

$v=1.2\: m/s$

I hope it helps you!

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Anna is making a banner out of 4 congruent triangles as shown below. How much blue trim will she need for each side

Ede4ka [16]

Answer:

The length of each blue trim is 17.2 inches

Step-by-step explanation:

Given

See attachment for banner

Required

The length of each blue trim

Since all 4 triangles are equal, then the dimension of 1 triangle is:

$Side\ 1 = 10$

$Side\ 2 = 14$

The hypotenuse (x) of the triangle blue trim is represented by the blue trim

So:

$x^2 = Side\ 1^2 + Side\ 2^2$

This gives

$x^2 = 10^2 + 14^2$

$x^2 = 100 + 196$

$x^2 = 296$

Take square root

$x = \sqrt{296$

$x = 17.2in$

3 0

3 years ago

A baseball player get on base seven times and strikes out five times during the tournament. What is that experimental have abili

SOVA2 [1]

First you have to make the assumption that these are the only two outcomes. There is also the possibility of hitting the ball and getting out.

However, if we assume that these are the only two cases, we know that the probability is 58.3%. This is because it has been on base 7 times out of 12.

6 0

3 years ago

Find the measure of JK that makes Triangle JLK- triangle PLM

tensa zangetsu [6.8K]

Just take both sides multiply by 2 then divide 3

8 0

3 years ago

13: how many pairs of defective blue jeans will joshua find if he checks 252 pairs?

valkas [14]

Answer:

Step-by-step explanation:

Rjdjekeoekwodeosaksndnskskskdlfkgrkxkdjxjxjsjxjxjdkxkfkgkskskfkxkdlckffkkdkxkdkdkkfgjdjskwodkkdskskdkdkdkdkdkdkdkdkdkdkddkdkkdkddkdkddkddkdkdkakakaakakakakakakakakaakalalkddkgjgjgjdksfkskdkfjfj

4 0

3 years ago

Babies born after 40 weeks gestation have a mean length of 52.2 centimeters (about 20.6 inches). Babies born one month early hav

Sveta_85 [38]

Answer:

a) $Z = -2.88$

b) $Z = -0.96$

c) 40 weeks gestation babies

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

a. Find the standardized score (z-score), relative to all U.S. births, for a baby with a birth length of 45 cm.

Here, we use $\mu = 52.2, \sigma = 2.5$ . So

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

$Z = \frac{45 - 52.2}{2.5}$

$Z = -2.88$

b. Find the standardized score of a birth length of 45 cm. for babies born one month early, using 47.4 as the mean.

Here, we use $\mu = 47.4, \sigma = 2.5$ . So

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

$Z = \frac{45 - 47.4}{2.5}$

$Z = -0.96$

c. For which group is a birth length of 45 cm more common?

For each group, the probability is 1 subtracted by the pvalue of Z.

Z = -2.88 has a lower pvalue than Z = -0.96, so for Z = -2.88 the probability 1 - pvalue of Z will be greater. This means that for 40 weeks gestation babies a birth length of 45 cm is more common.

3 0

3 years ago