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Natalka [10]
3 years ago
11

Find the measure of

Mathematics
2 answers:
tester [92]3 years ago
6 0

Answer:

40

Step-by-step explanation:

ok we know there's 180 we have 110 and 30 which = 140 so 180-140=40

AlekseyPX3 years ago
3 0

Answer:

4

Step-by-step explanation:

You might be interested in
17) 10(x + 3) -(-9x - 4) = x - 5+ 3
umka2103 [35]
Here is the answer. i quickly did it and checked my answer so it should be right

5 0
3 years ago
Read 2 more answers
Please please please help make sense of this
Nadya [2.5K]

The enclosed shape is that of a trapezoid. The area of a trapezoid is the product of the height of it (measured perpendicular to the parallel bases) and the average length of the two parallel bases. The formula is generally written ...

... A = (1/2)(b₁ + b₂)·h

Here, the base lengths are the y-coordinates at x=4 and x=9. The height is the distance between those two x-coordinates: 9 - 4 = 5.

You are expected to find the y-values at those two points, then use the formula for the area of the trapezoid.

You can save a little work if you realize that the average of the two base lengths is the y-coordinate corresponding to the average x-coordinate: (9+4)/2 = 6.5. That is you only need to find the y-coordinate for x=6.5 and do the area math as though you had a rectangle of that height and width 5.

Going that route, we have

... y = 2(6.5) - 1 = 13 - 1 = 12

Then the trapezoid's area is

... A = 12·5 = 60 . . . . square units.

5 0
3 years ago
An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck are defe
Hatshy [7]

Answer:

0.148 = 14.8% probability that they will need to order at least one more new transmission

Step-by-step explanation:

For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

20% of all the transmissions it installed in a particular style of truck are defective after a year of use.

This means that p = 0.2

Sold seven trucks:

This means that n = 7

It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?

This is the probability that at least 3 are defective, that is:

P(X \geq 3) = 1 - P(X < 3)

In which

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097

P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670

P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852

P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148

0.148 = 14.8% probability that they will need to order at least one more new transmission

6 0
3 years ago
If 5 men can do a piece of work in 20 days, in how many days could 10 men<br> do the same work?
Whitepunk [10]

Answer:

10

Step-by-step explanation:

(U can do mental calculation and guess it will be 10 ..) or else ....

Constant(k) = xy

k= 5 x 20  

k= 100

Constant(k) = xy

100 = xy  

100 = 10y  

y= 100/10 = 10  

= 10

I hope im right!!

6 0
3 years ago
Work out the coordinates of B
Komok [63]

Answer:

I think we need a graph to figure out this problem; the points need to be graphed. Otherwise, I do understand!

6 0
3 years ago
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