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3 years ago

If m∠ABD =64°, and m∠CBD = 30°, then m∠ABC =?

Mathematics

1 answer:

vaieri [72.5K]3 years ago

7 0

Answer:

34°

Step-by-step explanation:

angle ABC

= 64°-30°

= 34°

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For each day in New England, the probability that it is mostly cloudy is 0.10 . Cindi is planning to go leaf watching, and her f

kolbaska11 [484]

Answer:

0,37

Step-by-step explanation:

It will be easier if we noun the events.

A= Cindi's friend comes to England.

B= New England is mostly cloudly.

We are searching the probability of just A doesn´t happen or just A happens but not B.

The probability of A doesn´t happen is one minus the probability of A:

$=(A^{|} )=1-P(A)=1-0.7=0.3$

The events A and B are independent for this reason the probability than both occurs is the product of the probability of each event. It means:

$P(A \cap B)= P(A)P(B)=0.1*0.7=0.07$

The probability of A doesn´t happen or A and B happen is:

$P(A^{|} \cup (A \cap B))= P(A^{|} )+P (A \cap B)-P(A^{|} \cap A\cap B)=0.3+0.07-0=0.37$

Conclusively we have to rest the probability of A doesn´t happen and A and B happen, but A happens and doesn´t happen and the same time is impossible. For this reason, we have the same result.

$P(A^{|} \cup (A \cap B))-P(A^{|} \cap A\cap B)=0.37-0=0.38$

Then the probability either Cindi's friend does not come to New England, or she does come but it is mostly cloudy is 0.37

8 0

3 years ago

A shirt is on sale for $15. its original price was $25. by what percentage did the price decrease?

Rama09 [41]

Answer:

That would be a decrease of 40%

Step-by-step explanation:

6 0

3 years ago

In Exercise, find the derivative of the function.<br> y = 3ex - xex

nevsk [136]

Answer:

the question is incomplete, the complete question is "find the derivative of the function $y=3e^{x}-xe^{x}$ "

answer: $\frac{dy}{dx}=(2-x)e^{x}$ .

Step-by-step explanation:

From the equation, $y=3e^{x}-xe^{x}$ , we approach the question using the differentiation of a product and differentiation of a sum simultaneously,

the differentiation of a sum is express as

f(x)=u(x)+v(x)+.....w(x) then

$\frac{df(x)}{dx}=\frac{du(x)}{dx}+\frac{dv(x)}{dx}+...\frac{dw(x)}{dx}.\\$

For the differentiation of a product we have

f(x)=u(x)v(x), then

$\frac{df(x)}{dx}=\frac{dv(x)}{dx}u(x)+\frac{du(x)}{dx}v(x)$

hence if we go by the formula we arrive at

for $y=3e^{x}$

let u(x)=3 hence du/dx=0 and

$v(x)=e^{x}$ and $\frac{dv(x)}{dx}=e^{x}$

hence $\frac{dy}{dx}=3e^{x}+0e^{x}\\\frac{dy}{dx}=3e^{x}---equation 1\\$

Also for $y=-xe^{x}\\\frac{dy}{dx}=-e^{x}-xe^{x}---equation 2$ .

if we add equation 1 and equation 2 we arrive at

$\frac{dy}{dx}=3e^{x}-e^{x}-xe^{x}\\\frac{dy}{dx}=(3-1-x)e^{x}\\\frac{dy}{dx}=(2-x)e^{x}$ .

4 0

3 years ago

Which ordered pairs are solutions to the inequality x+3y≥−8?

crimeas [40]

(-6,0)
(-1,-2)
(-5,-1)

4 0

3 years ago

Read 2 more answers

What is the cost of a pair of jeans that sells for $49 if the sales tax rate is 6%

lisov135 [29]

a pair of jenas that sell for $49

rate of tax is 6%

cost of that jeans is ?

Let the cost of jeans = x

through question

or, $49 = X + X×6%

or,$49 = X + X×6/100

or, $49 = 106X/100

or, $4900 = 106X

or, X = $4900/106

: X = $46.226

thus ; the cost of jeans is $46.226

7 0

2 years ago