All categories

3 years ago

HELP NEEDED !!! find the size of unknown angles

Mathematics

1 answer:

Karolina [17]3 years ago

8 0

Explanation :

The line DF is parallel to OB, therefore Angle x = Angle y.

( because, they for corresponding angle pair which are equal. )

And the angle made by an arc at center is always double the angle made by the same arc at its boundary, hence

x = 22° × 2

x = 44°

y = 44° ( cuz, x = y )

You might be interested in

When i have a negative plus a positive of the same number , what is that called ?

Lady bird [3.3K]

Answer: Integer

Step-by-step explanation: The answer would be integer

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=convert%20%3A%20%20%20%20-%20%20%5C%5C%20%20%5C%5C%205.5%20%5C%3A%20km%20%5C%3A%20%20%5C%3A%20

julia-pushkina [17]

Answer:

5500 meters

Step-by-step explanation:

Meters = m

Kilometres = km

We use the general formula,

1 km = 1000 m

Then by using the general formula,

5.5 km = ? m

→ 5.5 km/1 km × 1000 m

→ 5.5 m × 1000 m

→ 5500 m

Hence, the solution is 5500 m.

3 0

3 years ago

Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period. If Kelly sold 15 less tickets than Shelby over the

Sholpan [36]

Answer: 20 tickets

Step-by-step explanation:

From the question, we are informed that Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period while Kelly sold 15 less tickets than Shelby. This means that the number of tickets sold by Kelly is:

= 75 - 15

= 60 tickets

The number of tickets sold by Kelly each year on average will be:

= Number of tickets sold / Number of years.

= 60/3.

= 20 tickets

over the last 3 years

4 0

3 years ago

What is the slope of a line parallel to the graph of y+1=-8(x-2)?

inn [45]

Y+1=-8(x-2)
y+1=-8x+16
y=-8x+15
The slope would be -8

8 0

3 years ago

Mopeds (small motorcycles) are very popular in Europe because of their mobility, ease of operation, and low cost. An article2 de

Misha Larkins [42]

Answer:

a) $P(X$

And we can find this probability using the normal standard table:

$P(z$

b) $P(X>48)=P(\frac{X-\mu}{\sigma}>\frac{48-\mu}{\sigma})=P(Z>\frac{48-46.8}{1.75})=P(Z>0.686)=1-P(z$

And we can find this probability using the normal standard table and the complement ruel:

$P(Z>0.686)=1-P(z$

c) $P(46.8-1.5*1.75$

And we can find this probability with this difference:

$P(-1.009$

And in order to find these probabilities we can use the tables for the normal standard distribution, excel or a calculator.

$P(-1.009$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Assuming the following questions:

Part a: What is the probability that the maximum speed is at most 50 km/h?

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(46.8,1.75)$

Where $\mu=46.8$ and $\sigma=1.75$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using the normal standard table:

$P(z$

Part b: What is the probability that maximum speed is at least 48 km/h?

$P(X>48)=P(\frac{X-\mu}{\sigma}>\frac{48-\mu}{\sigma})=P(Z>\frac{48-46.8}{1.75})=P(Z>0.686)=1-P(z$

And we can find this probability using the normal standard table and the complement ruel:

$P(Z>0.686)=1-P(z$

Part c:What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?

$P(46.8-1.5*1.75$

And we can find this probability with this difference:

$P(-1.009$

And in order to find these probabilities we can use the tables for the normal standard distribution, excel or a calculator.

$P(-1.009$

6 0

3 years ago