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Dahasolnce [82]
3 years ago
7

What does the point lie on if it is equidistant from the two sides of the angle?

Mathematics
1 answer:
Lady_Fox [76]3 years ago
3 0
The point lies on the angle bisector. Any point on the angle bisector is equidistant from the two sides. 
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Difference of 10 and a number W is no more than eight
algol [13]
10 - nw is less than or equal to 8

n = number


4 0
3 years ago
In a population of similar households, suppose the weekly supermarket expense for a typical household is normally distributed wi
Rina8888 [55]

Answer:

P(Y ≥ 15) = 0.763

Step-by-step explanation:

Given that:

Mean =135

standard deviation = 12

sample size n  = 50

sample mean \overline x = 140

Suppose X is the random variable that follows a normal distribution which represents the weekly supermarket expenses

Then,

X \sim N ( \mu \sigma)

The probability that X is greater than 140 is :

P(X>140) = 1 - P(X ≤ 140)

P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{140-135}{12})

P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{5}{12})

P(X>140) = 1 - P( Z\leq0.42)

From z tables,

P(X>140) = 1 - 0.6628

P(X>140) = 0.3372

Similarly, let consider Y to be the variable that follows a binomial distribution of the no of household whose expense is greater than $140

Then;

Y \sim Binomial (np)

Y \sim Binomial (50,0.3372)

∴

P(Y ≥ 15) = 1- P(Y< 15)

P(Y ≥ 15) = 1 - ( P(Y=0) + P(Y=1) + P(Y=2) + ... + P(Y=14) )

P(Y \geq 15) = 1 - \begin {pmatrix} ^{50}_0 \end {pmatrix} (0.3372)^0 (1-0,3372)^{50} + \begin {pmatrix} ^{50}_1 \end {pmatrix} (0.3372)^1 (1-0,3372)^{49}  + \begin {pmatrix} ^{50}_2 \end {pmatrix} (0.3372)^2 (1-0,3372)^{48} +...  + \begin {pmatrix} ^{50}_{50{ \end {pmatrix} (0.3372)^{50} (1-0,3372)^{0}

P(Y ≥ 15) = 0.763

7 0
3 years ago
4.A trapezoid with a perimeter of 30 units is
Tom [10]

Answer:

It would be (x0.3,y0.3). C is the answer

Step-by-step explanation:

Because if you actually read it, it already gave you the answer which is the scale factor of 0.3

so that would lead to (x0.3,y0.3)

6 0
3 years ago
Solve these questions (ALL)
Temka [501]

Answer:

-2x+3(-5x+1)=-2x+(-15x+3)

=-2x-15x+3

=-17x+3

-5/3a+1/8-1/6a-1/2=-5/3a-1/6a+1/8-1/2

=-40/24a-4/24a+3/24-12/24

=-44/24a-9/24

=-11/6a-3/8

3(1/5x-1/7)=3/5x-3/7

Hence, ans: C

-1.5w+7.5=1.5(-w+5)

=-1.5(w-5)

Hence, ans: A

3 0
2 years ago
I need help with this please
Gnoma [55]

Answer:

He started with 180.

Step-by-step explanation:

If 90 is 50% of what he started with, then the other 50% is 90

4 0
2 years ago
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