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elixir [45]
3 years ago
6

The ratio of boys to girls in a club is 4:3. If there are 48 boys, how many members of the club are there?

Mathematics
2 answers:
DochEvi [55]3 years ago
6 0

Answer:

84

Step-by-step explanation:

Basically the ratio was multiplied by 12 to get the number of boys so you do the same to the other one.

ValentinkaMS [17]3 years ago
6 0

Answer:

number of boys+number of girls=48boys+36girls=84members

Step-by-step explanation:

FIRST WE FIND THE NUMBER OF GIRLS BY STATISTICAL METHOD

4:3=48:x

4/3=48/x

By cross multiplication

4×x=48×3

4x=144

Dividing 4 on both sides

4x/4=144/4

x=36=number of girls

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14. circunferencia = 7.3 m (calcular<br>el radio ) *<br>​
Tanya [424]

Answer:

radius =1.1618m

Step-by-step explanation:

circumference of circle =7.3m

2πr=7.3

r=7.3/(2π)=1.1618m

6 0
3 years ago
Factor 8X squared + 10x + 2​
mojhsa [17]

Answer:

2(4x + 1)(x + 1)

Step-by-step explanation:

Given

8x² + 10x + 2 ← factor out 2 from each term

= 2(4x² + 5x + 1)

To factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × 1 = 4 and sum = + 5

The factors are + 1 and + 4

Use these factors to split the x - term

4x² + x + 4x + 1 ( factor the first/second and third/fourth terms )

= x(4x + 1) + 1 (4x + 1) ← factor out (4x + 1)

= (4x + 1)(x + 1), thus

4x² + 5x + 1 = (4x + 1)(x + 1) and

8x² + 10x + 2 = 2(4x + 1)(x + 1) ← in factored form

3 0
3 years ago
In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that th
deff fn [24]

Answer:

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 64

    The average price is  \= x  = \$ 112

    The population standard deviation is  \sigma  = \$ 16

     The level of significance is  \alpha  = 0.05

    The population mean is  \mu = \$ 108.5

The null hypothesis is  H_o :  \mu = 108.50

The alternative hypothesis is  H_a  :  \mu \ne  108.50

Generally the test statistics is mathematically represented as

       z = \frac{\= x - \mu }{ \frac{ \sigma}{\sqrt{n} } }

=>    z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }  

=>    z = 1.75

From the z table  the area under the normal curve to the left corresponding to  1.75  is  

       P( Z >  1.75) = 0.040059

Generally  p-value is mathematically represented as

        p-value = 2 * P( Z >  1.75)

=>     p-value = 2 * 0.040059

=>     p-value = 0.08012

From the values obtained we see that  p-value  > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

 

3 0
3 years ago
Given AB intersects DE at point C. prove: DCB = ECA. What is the missing reason in step 5
kicyunya [14]

Answer: the answer is linear pair

Step-by-step explanation:

5 0
3 years ago
-6(1+8a)=36-6a. anybody know this answer ?
Gwar [14]

Answer:

a=-1

If you need explanation please comment

5 0
3 years ago
Read 2 more answers
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