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AfilCa [17]
2 years ago
11

In a class there are 40 students 30 are boys and what is the percentage of girls ....​

Mathematics
1 answer:
Artyom0805 [142]2 years ago
6 0

Answer:

25%

Step-by-step explanation:

Total= 40 students

boys +girls= 40

30 +girls= 40

number of girls

= 40 -30

= 10

Percentage of girls

=  \frac{10}{40}  \times 100\% \\ =  25\%

Alternatively,

percentage of girls

= 100% -(percentage of boys)

= 100\% - ( \frac{30}{40}  \times 100\%) \\  = 100\% - 75\% \\  = 25\%

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In a parallelogram ABCD point K belongs to diagonal BD so that BK:DK=1:4. If the extension of AK meets BC at point E, what is th
olya-2409 [2.1K]

Answer:

\frac{BE}{EC} =\frac{1}{3}

Step-by-step explanation:

In the diagram below we have

ABCD is a parallelogram. K is the point on diagonal BD, such that

\frac{BK}{CK} =\frac{1}{4}

And AK meets BC at E

now in Δ AKD and Δ BKE

∠AKD =∠BKE                ( vertically opposite angles are equal)

since BC ║ AD and BD is transversal

∠ADK = ∠KBE     ( alternate interior angles are equal )

By angle angle (AA) similarity theorem

Δ ADK  and Δ EBK are similar

so we have

\frac{AD}{BE} =\frac{DK}{BK}

\frac{AD}{BE} =\frac{4}{1}

\frac{BC}{BE}=\frac{4}{1}     ( ABCD is parallelogram so AD=BC)

\frac{BE+EC}{BE}=\frac{4}{1}         ( BC= BE+EC)

\frac{BE}{BE} +\frac{EC}{BE}=\frac{4}{1}

1+\frac{EC}{BE}=4

\frac{EC}{BE}=3  ( subtracting 1 from both side )

\frac{EC}{BE}=\frac{3}{1}

taking reciprocal both side

\frac{BE}{EC} =\frac{1}{3}


8 0
3 years ago
You are testing the claim that the mean GPA of night students is different from the mea GPA of day students. You sample 20 night
svetlana [45]

Answer:

As the calculated value of z does not lie in the critical region the null hypothesis is accepted that the GPA mean of the night students is the same as the GPA mean of the day students.

Step-by-step explanation:

Here n= 20

Sample mean GPA = x`= 2.84

Standard mean GPA = u= 2.55

Standard deviation = s=  0.45.

Level of Significance.= ∝ = 0.01

The hypothesis are formulated as

H0: u1=u2   i.e the GPA of night students is same as the mean GPA of day students

against the claim

Ha: u1≠u2

i.e the GPA of night students is different from the mea GPA of day students

For two tailed test  the critical value is  z ≥ z∝/2= ± 2.58

The test statistic

Z= x`-u/s/√n

z= 2.84-2.55/0.45/√20

z= 0.1441

As the calculated value of z does not lie in the critical region the null hypothesis is accepted that the GPA mean of the night students is the same as the GPA mean of the day students.

8 0
2 years ago
Simplify.<br> -3(2x - 2) + 4<br><br> pls and thank you
Mila [183]
-6x+10 would be ur answer :)
5 0
2 years ago
Read 2 more answers
Which number line shows the solution set for 2x - 30 _ &gt; -36
Elena-2011 [213]
The number solution set 2 . 30 36

3 0
3 years ago
0.006/6,000 is it Much Larger than or close to 1
ANEK [815]

Answer:

Less close to one

Step-by-step explanation:

0.006/6,000= 0,000001

7 0
2 years ago
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