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nlexa [21]
3 years ago
11

Amanda and Fred are sister and brother. Amanda has twice as many sisters as brothers, and Fred has five times as many sisters as

brothers. How many girls and boys are there in this family
Mathematics
1 answer:
pav-90 [236]3 years ago
8 0

Answer:

In this family there are 5 girls and 2 boys

Step-by-step explanation:

Fred has five times as many sisters as brothers, so at least he has five sisters.

1. Let's suppose Fred has just one brother, in this case he would have five sisters (including Amanda). The condition that Fred has five times as many sisters as brothers is fufilled.

2. If Fred has one brother, it means that Amanda has two brothers

3. If Fred has five sisters (including Amanda), it means that Amanda has four sisters.

4. If Amanda has two brothers and four sisters, the condition that she has twice as many sisters as brothers is fufilled.

5. Then, in both cases, there are 5 girls and 2 boys:

Fred + 1 brother + 5 sisters = 2 boys, 5 girls

Amanda + 2 brothers + 4 sisters = 2 boys, 5 girls

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Two identical triangles form a parallelogram with a base of 8 Inches and a height of 6 inches.What is the area of one triangle?
dedylja [7]

Answer: The area of the triangle is 24 square inches

Step-by-step explanation:

Hi, since the 2 triangles form a parallelogram ( see attachment) we have the base and height of the triangles, we have to apply the next formula:

Area of a triangle; (base x height) /2

Replacing with the values:  

A = (8x6 )/2

A = 48 /2

A = 24 square inches

The area of the triangle is 24 inches

Feel free to ask for more if needed or if you did not understand something.

4 0
3 years ago
7. License Plate Laws The Chapter Problem involved passenger cars in Connecticut and passenger cars in New York, but here we con
sergejj [24]

Yes it is true that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars because null hypothesis is rejected.

Given among 2049 Connecticut passenger cars, 239 had only rear license plates. Among 334 Connecticut trucks, 45 had only rear license plates.

let p_{1} be the probability that commercial cars have rear license plates and p_{2} be the probability that connected trucks have rear license plates.

                         Cars                     Trucks                         Total

Total                  2049                    334                             2383

x                          239                      45                                284

p                        0.1166                   0.1347                          0.1191

α=0.05

Hypothesis will be  :

H_{0}:p_{1} =p_{2}

H_{1} :p_{1} < p_{2}

It is a left tailed test at 0.05 significance.

Standard errors of p=\sqrt{p(1-p)/n}

=\sqrt{(0.1191*0.8809)/2383}

=\sqrt{0.1049/2383}        

=0.0066

Test statistic Z=p difference/standard error

=(0.1166-0.1347)/0.0066

=-0.0181/0.0061

=-2.967

p value=0.001505<5%

Since p is less than 5% we reject null hypothesis.

We cannot calculate standard deviation so  we cannot calculate confidence interval.

Hence there is statistical evidence at 5% significance level to support that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

Learn more about z test at brainly.com/question/14453510

#SPJ4

5 0
2 years ago
A. This is the graph of a linear function.
seropon [69]

Answer:

B.  Graph of a one-to-one function.

Step-by-step explanation:

A one-to-one function will have a unique value, y, for each different value of x.  The graph displayed will have values very, very close to each other as x approaches ±4, but they won't be the same even at higher values of x.

5 0
2 years ago
Can someone please help me with this question
earnstyle [38]
7/3 + 3/4
 28/12 + 9/12+ 37/12= 3 1/12

FInal answer is 3 1/12
4 0
3 years ago
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3 years ago
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