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3 years ago

1.Choose the best description for ∠1 and ∠2 in the following figure.

Mathematics

1 answer:

attashe74 [19]3 years ago

7 0

Answer:

1 ) Adjacent angles,

2 ) See solution below

Step-by-step explanation:

Question 1. Provided ∠ 1 and ∠ 1 are near one another, they can be referred to as adjacent ∠s;

Solution; Adjacent angles

Question 2.

Angles 5, and 6 are consecutively near one another, and thus are adjacent angles,

Angles 5 and 9 are supplementary knowing that they lie on a straight angle, so that they can be best named a linear pair, provided there are only two of these angles,

Angles 5 and 8 are opposite to one another so that they are ≅, thus should be names as vertical angles

Solution; 

Angle | Adjacent Angles | Linear Pair | Vertical angles

∠ 5, 6 | Check! | |

∠ 5, 9 | | Check! |

∠ 5, 8 | | | Check!

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What is the slope of line LM given L(9, -2) and M(3, -5)?

jasenka [17]

Answer:

1/2

Step-by-step explanation:

(y2-y1)/(x2-x1) is the equation for finding slope with two given points

-5-(-2) over 3-9 equals

-3/-6=-1/-2=1/2

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4 years ago

With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the en

kkurt [141]

Answer:

0.097 is the probability that the entire batch will be rejected

Step-by-step explanation:

The total number of CDs = 6500

Number of defective CDs = 110

Number of good CDs = 6500-110 = 6390

Out of this batch, 6 are randomly selected, then the probability that the entire batch is rejected is

1 – [probability of accepting the entire batch]

1 – [6390/6500 * 6389/6499*6388/6498*6387/6497*6386/6496*6385/6495]

= 0.097

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3 years ago

-15=22x+7 solve for x

zalisa [80]

Step-by-step explanation:

22x+7= -15

22x= -15 -7

22x = -22

x= -22

x= -1

Hope this helps you dear !

Have a great day :)

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3 years ago

Read 2 more answers

Divide 100 in a ratio of 5:3

bixtya [17]

Answer:

62.5 : 37.5

Step-by-step explanation:

When we divide 100 into 5:3 ratio the parts we make need to add up to 100

5parts +3 parts = 8 parts

100/8 parts = 12.5 are in each part

12.5*5 : 12.5*3

62.5 : 37.5

check our answer 62.5+37.5 = 100 ✅

7 0

3 years ago

According to a report, 11 people got colds for every 2000 people.

lianna [129]

Answer:

Probability that one or more people in Arbalest got a cold is 0.9987.

Step-by-step explanation:

We are given that according to a report, 11 people got colds for every 2000 people.

There are 1200 people in the town of Arbalest.

The above situation can be represented through binomial distribution;

$P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......$

where, n = number of trials (samples) taken = 1200 people

r = number of success = one or more people got a cold

p = probability of success which in our question is probability

that people got colds, i.e; p = $\frac{11}{2000}$ = 0.55%

Let X = Number of people in Arbalest who got a cold

So, X ~ Binom(n = 1200 , p = 0.0055)

Now, Probability that one or more people in Arbalest got a cold is given by = P(X $\geq$ 1)

P(X $\geq$ 1) = 1 - P(X = 0)

= $1- \binom{1200}{0} \times 0.0055^{0} \times (1-0.0055)^{1200-0}$

= $1- (1 \times 1 \times 0.9945^{1200})$

= 0.9987 or 99.87%

Hence, the required probability is 99.87%.

8 0

4 years ago