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Paladinen [302]
2 years ago
13

Work out the size angles x,y and z​

Mathematics
1 answer:
Andreas93 [3]2 years ago
3 0

Answer:

x = y = 14

z = 70

Step-by-step explanation:

As we can see from the markings, x = y

So we have an isosceles triangle in ABD

the sum of angles in a triangle is 180

52 + x + y = 180

x + y = 180-52

x + y = 28

so since x = y

x = y = 14

To get z, we have that;

52 + z + 14 + 44 = 180

z + 110 = 180

z = 180-110

z = 70

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(a) Christine received 70 dollars.<br> Write a signed number to represent this change.
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70 or +70
To represent a positive integer
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2 years ago
Times for an ambulance to respond to a medical emergency in a certain town are normally distributed with a mean of 450 seconds a
Gnoma [55]

Answer:

(D)109

Step-by-step explanation:

Mean = 450 seconds

Standard deviation = 50

First, we determine the probability that the expected response time is between 400 seconds and 500 seconds, P(400<x<500)

Using the Z-Score,

P(\frac{x-\mu}{\sigma}

From the Z-Score table

P(-1<x<1) = 0.68269  

The probability that the expected response time is between 400 seconds and 500 seconds is 0.68269.

Since there are 160 Emergencies

Number whose expected time is between 400 seconds and 500 seconds

=160 X 0.68269 \approx 109

6 0
3 years ago
HELP ME PLZ
zubka84 [21]
————————————-The answer is 3.78
6 0
3 years ago
Read 2 more answers
A forest ranger spots a fire on a 28 foot tower,the angle of depression from the tower to the fire is 11 degrees to the nearest
aleksandrvk [35]
Solution:
use the trigonometric function which is tangent
tangent is equal to opposite/hypotenuse
the angle is 11 degrees
28 foot will be your opposite
your hypotenuse is the missing

tan(11 degrees)=28 foot/ hypotenuse
hypotenuse= [28 foot/ (tan 11 degrees)]
hypotenuse = 98.8 feet
6 0
3 years ago
Tomato as a taste modifier. Miraculin—a protein naturally produced in a rare tropical fruit—has the potential to be an alternati
telo118 [61]

Answer:

a) 0.033

b) 0.468

c) 100

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 105.3

Standard Deviation, σ = 8

The amount x of miraculin produced (measured in micro-grams per gram of fresh weight) had a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(x > 120)

P( x > 120) = P( z > \displaystyle\frac{120 - 105.3}{8}) = P(z > 1.8375)

= 1 - P(z \leq 1.8375)

Calculation the value from standard normal z table, we have,  

P(x > 120) = 1 - 0.967 = 0.033 = 3.3\%

b) P(x between 100 and 110)

P(100 \leq x \leq 110) = P(\displaystyle\frac{100 - 105.3}{8} \leq z \leq \displaystyle\frac{110-105.3}{8}) = P(-0.6625 \leq z \leq 0.5875)\\\\= P(z \leq 0.5875) - P(z \leq -0.6625)\\= 0.722 - 0.254 = 0.468 = 46.8\%

P(100 \leq x \leq 110) = 46.8\%

c) P(x < a) = 0.25

P( x \leq a) = P( z \leq \displaystyle\frac{a - 105.3}{8}) = 0.25

Calculation the value from standard normal z table, we have,  

P( z \leq -0.674) = 0.25

\displaystyle\frac{x - 105.3}{8} = -0.674\\\\x = -0.674\times 8 + 105.3 = 99.908 \approx 100

3 0
3 years ago
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