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Rashid [163]
2 years ago
9

The number of girls in the Middle School Cyber Club was 6 more than double the number of boys, and in total there were 48 middle

school students in the Cyber Club.
Mathematics
1 answer:
Wittaler [7]2 years ago
5 0

Answer:

g = number of girls;

b= number of boys

we know that: g= 6+2b

     and that: g+b= 156 kids in total

so we may write  g+b=(6+2b)+b=6+3b

                 but g+b= 156

so 6+3b = 156 => 3b= 156-6=150 =>   b=150/3=50 => b = 50 (number of boys)

g= 6+2b= 6+2 x 50= 106 => g =106 (number of girls)  

Step-by-step explanation:

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lord [1]

Answer:

(x-3)(x-6)

Step-by-step explanation:

Fill in g into f and simplify:

(x-2)²-5(x-2)+4 =

x² - 4x + 4 - 5x + 10 + 4 =

x² - 9x + 18 =

(x-3)(x-6)

4 0
3 years ago
Lin has a scale model of a modern train. The model is created at a scale of 1 to 48
kati45 [8]

Solution 1. 4.896 meters. Sample reasoning: The actual height is 48 times the scaled height. . 4,896 mm is 4.896 m.

102 mm is 0.102 m. The actual train is 48 times 0.102 m. .

2. No. Sample explanation: The modern train needs tracks that are 60 inches apart, because 1 1/4 x 48 =60 . The old tracks are only 54 inches, so they are not wide enough.

Step-by-step explanation:

4 0
3 years ago
Please help me with math test
neonofarm [45]

Answer:

the answsr is 144 g

Step-by-step explanation:

mass of grapes=total mass-mass of bowl

=265-121

=144 grams

3 0
2 years ago
Read 2 more answers
An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by th
monitta

Answer:

a) n =1623

b) ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208    

Step-by-step explanation:

1) Notation and definitions

n random sample taken

\hat p=0.19 estimated proportion of customers are not satisfied with the service provided by the local dealer

Confidence =0.96 or 96%

Me= 0.02 represent the margin of error

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 96% of confidence, our significance level would be given by \alpha=1-0.96=0.04 and \alpha/2 =0.02. And the critical value would be given by:

z_{\alpha/2}=-2.0538, z_{1-\alpha/2}=2.0538

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.02 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.19(1-0.19)}{(\frac{0.02}{2.0538})^2}=1622.912  

And rounded up we have that n=1623

Part b

The margin of error is given by:

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    

So then if w replace the value of n obtained from part a we got:

ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208    

3 0
3 years ago
PLEASE HELP!!!
Aleksandr [31]

Answer:

What was the result of civil wars breaking out in countries such as Honduras, Nicaragua, Guatemala, and El Salvador in the 1970s?

increased spread of famine

increased trade with other nations

the rebirth of enslavement

the deaths of many people

Step-by-step explanation:

5 0
3 years ago
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