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mars1129 [50]
3 years ago
8

Please help me with this surds question. Explain how you got your answer.

Mathematics
1 answer:
andre [41]3 years ago
7 0

Answer:

1/5

Step-by-step explanation:

b and c = \sqrt{50}   because 10 x 5 = 50

therefore  the fraction is   √2/ √50

to simplify you need to simplify the √50 into a number of √2 as the top is √2

√50 = √25 x √2

= 5√2

√2/5√2 = 1/5   if you divide both top and bottom by √2

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Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pian
finlep [7]

Answer:

30% is the correct answer.

Step-by-step explanation:

Total number of boys = 2

Total number of girls = 3

Total number of students = 5

To find:

Probability that the pianist will be a boy and the alternate will be a girl?

Solution:

Here we have to make 2 choices.

1st choice has to be boy (pianist) and 2nd choice has to be girl (alternate).

\bold{\text{Required probability }= P(\text{boy as pianist first}) \times P(\text{girl as alternate})}

Formula for probability of an event E is given as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

For P(\text{boy as pianist}), number of favorable cases are 2 (total number of boys).

Total number of cases = Total number of students i.e. 5

So, P(\text{boy as pianist}) is:

P(\text{boy as pianist}) = \dfrac{2}{5}

For P(\text{girl as alternate}), number of favorable cases are 3 (total number of girls).

Now, one boy is already chosen as pianist so Total number of cases = Total number of students left i.e. (5 - 1) = 4

P(\text{girl as alternate}) = \dfrac{3}{4}

So, the required probability is:

\text{Required probability } = \dfrac{2}{5}\times \dfrac{3}{4} = \dfrac{3}{10} = \bold{30\%}

6 0
3 years ago
the length of a rectangle is 2 in more than it's w i d t h the area of a rectangle is equal to 1 inch less than three times a pe
Marizza181 [45]
If we let x and y represent length and width, respectively, then we can write equations according to the problem statement.
.. x = y +2
.. xy = 3(2(x +y)) -1

This can be solved a variety of ways. I find a graphing calculator provides an easy solution: (x, y) = (13, 11).

The length of the rectangle is 13 inches.
The width of the rectangle is 11 inches.

______
Just so you're aware, the problem statement is nonsensical. You cannot compare perimeter (inches) to area (square inches). You can compare their numerical values, but the units are different, so there is no direct comparison.

6 0
3 years ago
PLEASE ANSWER ASAP! YOUR ANSWER MUST INCLUDE AN EXPLANATION IN ORDER TO RECEIVE 10 POINTS AND THE BRAINLIEST! THANKS!!!
7nadin3 [17]
The equation formula of the circle is (x-h)^2 + (y-k)^2 = r^2
where (h,k) the point of the  center of the circle
and (r) is the radius of the circle 
so if the center of the circle = (-2,-4)  
by subs. in the formula we get (x-(-2))^2 + (y-(-4))^2 = r^2 
then the equation will be (x+2)^2 + (y+4)^2 = r^2 
now we want to define the radius of the circle r
since point (3,8) lay on the circle so we can 
then subs. in the equation to get the radius 
(x+2)^2 +(y+4)^2 = r^2 
(3+2)^2 +(8+4)^2 = r^2 
25 + 144 = r^2 
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8 0
3 years ago
Caleb throws a ball three times for his dog Leo. For each throw, Leo either
Debora [2.8K]
The one that makes the most sense is C
6 0
3 years ago
Read 2 more answers
A private and a public university are located in the same city. For the private university, 1038 alumni were surveyed and 647 sa
Snezhnost [94]

Answer:

The difference in the sample proportions is not statistically significant at 0.05 significance level.

Step-by-step explanation:

Significance level is missing, it is  α=0.05

Let p(public) be the proportion of alumni of the public university who attended at least one class reunion  

p(private) be the proportion of alumni of the private university who attended at least one class reunion  

Hypotheses are:

H_{0}: p(public) = p(private)

H_{a}: p(public) ≠ p(private)

The formula for the test statistic is given as:

z=\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}} where

  • p1 is the sample proportion of  public university students who attended at least one class reunion  (\frac{808}{1311}=0.616)
  • p2 is the sample proportion of private university students who attended at least one class reunion  (\frac{647}{1038}=0.623)
  • p is the pool proportion of p1 and p2 (\frac{808+647}{1311+1038}=0.619)
  • n1 is the sample size of the alumni from public university (1311)
  • n2 is the sample size of the students from private university (1038)

Then z=\frac{0.616-0.623}{\sqrt{{0.619*0.381*(\frac{1}{1311} +\frac{1}{1038}) }}} =-0.207

Since p-value of the test statistic is 0.836>0.05 we fail to reject the null hypothesis.  

6 0
3 years ago
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