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tatuchka [14]
3 years ago
6

A soccer team played 32 games. if they won 25% of them, how many games did they win

Mathematics
2 answers:
storchak [24]3 years ago
6 0
They won 25% of the games. Total games played = 32

25% of 32 = 25/100 * 32

= 25/100 * 32 = 1/4 * 32 = 8.

They won 8 games.
Rina8888 [55]3 years ago
6 0
Total games played = 32 games

Win percentage = 25/100 

Matches won = Total games played * Win percentage
                      = 32 * 25/100
                      = 32 * 1/4
                      = 8

Total matches won by the team is 8 matches 

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Adam has been asked to post a parcel for a family member. He has been told that the parcel weighs 12 lbs 8 oz. 1lb = 16 oz 1lb =
jasenka [17]

Answer:

<em>The weight of the parcel is approximately 6 kilograms.</em>

Step-by-step explanation:

The weight of the parcel is  12 lbs and 8 oz.

1 lb = 16 oz

So,  8 oz = \frac{1}{2}lb = 0.5 lb.

<u>That means,  12 lbs and 8 oz</u> = (12 + 0.5) lbs = 12.5 lbs

Now, 1 lb = 454 g

So,  12.5 lbs = (12.5 × 454) g = 5675 g

As,  1 kilogram = 1000 g

That means, 1 g = 0.001 kilogram

So,  5675 g = (5675 \times0.001) kilograms= 5.675 \approx 6 kilograms. <em>(Rounded to the nearest whole kilogram)</em>

Thus, the weight of the parcel is approximately 6 kilograms.

5 0
3 years ago
A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature is at least 135°
nirvana33 [79]

Answer:

z=\frac{133-135}{\frac{3.3}{\sqrt{32}}}=-3.428      

p_v =P(z  

If we compare the p value and the significance level given for example \alpha=0.1 we see that p_v so we can conclude that we reject the null hypothesis, and the true mean is significantly lower than 135 so the claim not makes sense      

Step-by-step explanation:

Data given and notation      

\bar X=133 represent the sample mean

\sigma=3.3 represent the standard deviation for the population      

n=32 sample size      

\mu_o =135 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

z would represent the statistic (variable of interest)      

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the true mena is at least 135, the system of hypothesis would be:      

Null hypothesis:\mu \geq 135      

Alternative hypothesis:\mu < 135      

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:      

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)      

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic      

We can replace in formula (1) the info given like this:      

z=\frac{133-135}{\frac{3.3}{\sqrt{32}}}=-3.428      

Calculate the P-value      

Since is a one-side lower test the p value would be:      

p_v =P(z  

Conclusion      

If we compare the p value and the significance level given for example \alpha=0.1 we see that p_v so we can conclude that we reject the null hypothesis, and the true mean is significantly lower than 135 so the claim not makes sense      

3 0
3 years ago
2x + y = 3 x - 2y = -1 If equation two is multiplied by -2 and then the equations are added, the result is what?
photoshop1234 [79]

Answer:

  1. 2x + y
  2. 3 x - 2y
  3. -1

2(3 x - 2y) = -6x + 4y

2x + y + -6x + 4y + -1 = -4x + 5y -1

5 0
3 years ago
I need help. Please explain the answer. Thanks!
zmey [24]

Answer:

1.25> okay your welcome

5 0
3 years ago
Look at the figure below: Triangle ABC is a right triangle with angle ABC equal to 90 degrees. The length of AC is 7 units, and
Studentka2010 [4]

Answer: 12.25

Step-by-step explanation:

Given the following details :

DAC = 90° and ABC = 90° = right angled

Segment AB is Parallel to segment DC

FROM THE DETAILS ;

Triangle ABC and ACD are similar triangles.

Length AC = 7 Units

Length AB = 4 Units

For similar triangles :

Segment CD /AC = Segment AC / AB

CD / 7 = 7 / 4

Cross multiply

CD × 4 = 7 × 7

CD × 4 = 49

CD = 49 / 4

CD = 12.25 Units

3 0
2 years ago
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