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zaharov [31]
3 years ago
12

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats b

y 40%, 50% and 75% respectively. What will be the ratio of increased seats?
​
Mathematics
1 answer:
Minchanka [31]3 years ago
3 0
The new ratio will be
(5*1.4) : (7*1.5) : (8*1.75)
Or 7 : 10.5 : 14
To make them all whole numbers multiply them by 2 (because there is .5 after the 10)

Result: 14 : 21 : 28
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Solve the system of equations. x+y=4 y=x^2 - 8x + 16 a) {(-3,7).(-4, 8)} b) [(4,0)} c) {(3,1),(4,0) d) {(3,7). (4.0)} e) none
Marysya12 [62]

Answer:  The required solution of the given system is

(x, y) = (3, 1)  and  (4, 0).

Step-by-step explanation:  We are given to solve the following system of equations :

x+y=4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=x^2-8x+16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

From equation (i), we have

x+y=4\\\\\Rightarrow y=4-x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

Substituting the value of y from equation (iii) in equation (ii), we get

y=x^2-8x+16\\\\\Rightarrow 4-x=x^2-8x+16\\\\\Rightarrow x^2-8x+16-4+x=0\\\\\Rightarrow x^2-7x+12=0\\\\\Rightarrow x^2-4x-3x+12=0\\\\\Rightarrow x(x-4)-3(x-4)=0\\\\\Rightarrow (x-3)(x-4)=0\\\\\Rightarrow x-3=0,~~~~~~~x-4=0\\\\\Rightarrow x=3,~4.

When, x = 3, then from (iii), we get

y=4-3=1.

And, when x = 4, then from (iii), we get

y=4-4=0.

Thus, the required solution of the given system is

(x, y) = (3, 1)  and  (4, 0).

8 0
3 years ago
What is the value of the 10th term in this arithmetic sequence? <br><br>2,5,8,11,...
yKpoI14uk [10]
It looks to be 29, if the rule is to add 3z
8 0
3 years ago
Question
AlekseyPX

Answer:

The population mean is 5 volts

Step-by-step explanation:

Output voltage is assumed to be normally distributed, with standard deviation 0.25 Volts

s=0.25

n = 8

H_0:\mu = 5\\H_a:\mu \neq 5

Sample mean = \bar{x}=4.85

Since n < 30 and population standard deviation is unknown

So, we will use t test

Formula : t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}

t = \frac{4.85-5}{\frac{0.25}{\sqrt{8}}}

t=-1.69

Refer the t table for p value

Degree of freedom = n-1 = 8-1 = 7

So,t_{(df,\alpha)}=t_{7,0.05}=2.365

P value >α

So, We are failed to reject null hypothesis

Hence The population mean is 5 volts

7 0
3 years ago
Please help me! I will give it 5 stars and I will heart the answer!
andrew11 [14]

Answer:

Haha there is no question

Step-by-step explanation:

4 0
3 years ago
If x = 4 and y = 7 , evaluate the following expression: 100 − 3 ( 3 y − 4 x
ivolga24 [154]

Answer:

100-3*3*7-4*4

97

97*21-16

97*5

=455

3 0
3 years ago
Read 2 more answers
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