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lidiya [134]
3 years ago
12

A set of average city temperatures in May are normally distributed with a mean of 20.66 ^\circ \text{C}20.66

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
4 0

Answer:

0.9962

Step-by-step explanation:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

z=\frac{x-\mu}{\sigma}\\ \\\mu=mean,\sigma=standard\ deviation, x=raw\ score

μ = 20.66°C, σ = 2°C

For x < Singapore temperature, i.e. x < 26

z=\frac{x-\mu}{\sigma} =\frac{26-20.66}{2}=2.67

From the normal distribution table P(x < 26) = P(z < 2.67) = 0.9962

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If EF bisects angle CEB, angle CEF=7x + 21 and angle FEB = 10x - 3, find the measure of DEB.
morpeh [17]

Answer: DEb = 26°

Step-by-step explanation:

<u>Given information</u>

CEF = 7x + 21

FEB = 10x - 3

<u>Given expression deducted from the definition of the bisector</u>

FEB = CEF

<u>Substitute values into the expression</u>

10x - 3 = 7x + 21

<u>Subtract 7x on both sides</u>

10x - 3 - 7x = 7x + 21 - 7x

3x - 3 = 21

<u>Add 3 on both sides</u>

3x - 3 + 3 = 21 + 3

3x = 24

<u>Divide 3 on both sides</u>

3x / 3 = 24 / 3

x = 8

<u>Find the sum of the angle of CEF and FEB</u>

 7x + 21 + 10x - 3

=7 (8) + 21 + 10 (8) - 3

=56 + 21 + 80 - 3

=77 + 80 - 3

=157 - 3

=154

<u>Subtract 154 from the straight angle</u>

DEB = 180 - 154

\boxed{DEB = 26}

Hope this helps!! :)

Please let me know if you have any questions

8 0
3 years ago
How many 3/4s are in 6
Pepsi [2]
Hey there!
Let's first find an easier situation.
If we're saying:
How many fives are in ten?
We're doing 10 divided by 5, because we're seeing how many 5's go into 10.
It's no different here.
We will be doing 6 divided by 3/4, just as we did with our simpler situation.
Using our "keep, switch, flip" rule (keep first term, change to multiplication, take reciprocal of second term)
we get:
6 divided by 3/4
=
6 * 4/3
= 24/3
= 8 3/4's in 6.

Hope this helps!
7 0
3 years ago
Find the value of x in the following diagram,<br> 3x + 10<br> Here, B and D are points of tangency.
SVEN [57.7K]

<u>Given</u>:

The given circle with center at C. The lines AB and AD are tangents to the circle C.

The length of AB is (3x + 10)

The length of AD is (7x - 6)

We need to determine the value of x.

<u>Value of x:</u>

Since, we know the property of tangent that, "if two tangents from the same exterior point are tangent to a circle, then they are congruent".

We shall determine the value of x using the above property.

Thus, we have;

AB = AD

Substituting the values, we get;

3x+10=7x-6

Subtracting both sides of the equation by 7x, we get;

-4x+10=-6

Subtracting both sides of the equation by 10, we get;

-4x=-16

Dividing both sides of the equation by -4, we get;

x=4

Thus, the value of x is 4.

5 0
3 years ago
What number gives a result of −4 when 10 is subtracted from the quotient of the number and 4?
Arisa [49]

Answer:

6

Step-by-step explanation:

8 0
2 years ago
Find the area of this composite figure.
Margaret [11]

Answer: ≈ 196.53 m²

All work is shown in the picture.

6 0
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