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4 years ago

Can people please help me on this

Mathematics

1 answer:

zmey [24]4 years ago

4 0

let <ACB=<C,

Here h=26 due to opposite to right angle is hypotenuse and b=10 Is a base and p=24 due to opposite to the angle <C

so,

Cos<C=b/h

=10/26

=5/13

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Three black beads, two red beads, and a yellow bead are arranged in a line. What is the probability that no black bead is adjace

shtirl [24]

Answer:

Probability of no black bead is adjacent to the yellow bead is = 0.966

Step-by-step explanation:

First to arrange all the beads without restrictions = 6! = 720

Probability the black bead is adjacent to Yellow bead = 4!/6! = 24 /720

= 0.0333

Probability of no black bead is adjacent to the yellow bead is

= 1- Probability the black bead is adjacent to Yellow bead

= 1-0.033

= 0.966

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4 years ago

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Makovka662 [10]

Answer:

(D)

Step-by-step explanation:

The graph shows the arm span lengths of the students, clearly we can see that the most of the students have arm span length in the initial points of the length.

Median = Middle frequency of the data. Here, median will be the length in the middle.

Mode = Most frequently occurring number in the data. Here the mode will be the length which most of the students has.

Clearly, most of the student has the length in the initial inches while the median will be in the middle.

Hence, mode will be less than the median.

8 0

3 years ago

Read 2 more answers

Prove that the product of any two consecutive natural numbers is even.

Vitek1552 [10]

Answer with Step-by-step explanation:

Let us assume the 2 consecutive natural numbers are 'n' and 'n+1'

Thus the product of the 2 numbers is given by

$Product=n(n+1)\\\\$

We know that the sum of 'n' consecutive natural numbers starting from 1 is

$S_n=\frac{n(n+1)}{2}\\\\\therefore n(n+1)=2\times S_n............(i)$

Thus from equation 'i' we can write

$Product=2\times S_n$

As we know that any number multiplied by 2 is even thus we conclude that the product of 2 consecutive numbers is even.

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3 years ago

Explain and how to evaluate x-y for x=4 and y=1

jeka57 [31]

ANSWER

3

EXPLANATION

The given expression is

$x - y$

We want to evaluate this expression for x=4 and y=1.

We just have to substitute these values into the given expression and simplify.

When we plug in these values,we obtain,

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4 years ago

According to the manufacturer of the candy Skittles, 20% of the candy produced are red. If we take a random sample of 100 bags o

igomit [66]

Answer:

Probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

Step-by-step explanation:

We are given that 20% of the candy produced are red. A random sample of 100 bags of Skittles is taken.

The distribution we can use here is;

$\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } }$ ~ N(0,1)

where, p = 0.20 and n = 100

Let $\hat p$ = proportion of red candies in our sample

So, P( $\hat p$ < 0.20) = P( $\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } }$ < $\frac{0.20 - 0.20}{\sqrt{\frac{0.2 (1- 0.2)}{100} } }$ ) = P(Z < 0) = 0.5

Therefore, probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

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3 years ago