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Jlenok [28]
2 years ago
10

A basketball team played six games. In those games, the team won by 8 points, lost by 25,won by 9, won by 10,lost by 1, and won

by 11. What was the mean difference in game scores over the six games?
Mathematics
1 answer:
Aneli [31]2 years ago
4 0

Answer:

about 10 without a remainder of 4

Step-by-step explanation:

So, add up the number and divide by how many number you have (definition of mean). 8 + 25 + 9 + 10 + 11 + 1 all divide by 6 (since there are 6 numbers)

8 + 25 + 9 + 10 + 11 + 1 is 64.

64/6 is about 10 without a remainder of 4

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If there is 1/3 cups of yogurts for each smoothie. how many cups of yogurts would be needed to make 7 smoothies
Inessa [10]
7/3 cups or 2 1/3 cups of yogurt
8 0
3 years ago
A man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. How fast
Talja [164]

Answer:

4.41 feet per second.

Step-by-step explanation:

Please find the attachment.

We have been given that a man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. We are asked to find how fast must he let out the string when the kite is flying on 34 ft. of string.

We will use Pythagoras theorem to solve for the length of side x as:

x^2+16^2=34^2

x^2=34^2-16^2

x^2=900\\\\x=30

Now, we will use Pythagorean theorem to relate x and y because we know that the vertical side (16) is always constant.

x^2+16^2=y^2

Let us find derivative of our equation with respect to time (t) using power rule and chain rule as:

2x\cdot \frac{dx}{dt}+0=2y\cdot \frac{dy}{dt}

We have been given that \frac{dx}{dt}=5 , y=34 and x=30.

2(30)\cdot 5=2(34)\cdot \frac{dy}{dt}

300=68\cdot \frac{dy}{dt}

\frac{dy}{dt}=\frac{300}{68}

\frac{dy}{dt}=4.4117647058823529

\frac{dy}{dt}\approx 4.41

Therefore, the man must let out the string at a rate of 4.41 feet per second.

8 0
3 years ago
The area of a sector of a circle with a radius of 4 centimeters is 2.512 square centimeters. The estimated value of π is 3.14. T
butalik [34]
Area = (theta/360)* pi * r^2 
where theta is the angle of  the sector 
subs by your givens in the above equation 
2.512 = (theta/360) * pi * (4)^2 
theta = (2.512 * 360) /(pi*(4)^2)
theta = 18 degree 
4 0
3 years ago
Simplify this expression. <br><br> -3[2-(y-5)]-4[3(y+1)-(6-y)(-2)]
suter [353]

Answer:

-81 - y

Step-by-step explanation:

To simplify the expression -3[2-(y-5)]-4[3(y+1)-(6-y)(-2)] use order of operations or PEMDAS.

-3[2-(y-5)]-4[3(y+1)-(6-y)(-2)]

-3[2-y+5]-4[3y + 3+12 -2y]

-3[7-y] -12y-12-48+8y

-3[7-y] - 4y - 60

-21 + 3y - 4y - 60

-81 - y

5 0
3 years ago
Are 16% of M&amp;M’s Green? Mars, Inc. claims that 16% of its M&amp;M plain candies are green. A sample of 100 M&amp;Ms is rando
wolverine [178]

Answer: This result is not unusual.

So, it does not seem that the claimed rate of 16% is  wrong

Step-by-step explanation:

Since we have given that

n = 100

p = 0.16

q = 1 - 0.16 = 0.84

So, Mean would be

np=100\times 0.16=16

and standard deviation would be

\sqrt{np(1-p)}=\sqrt{100\times 0.16\times 0.84}=3.67

Now, if there are 19 green,

so, we will check how it is far,

\dfrac{19-16}{3.67}=\dfrac{3}{3.67}=0.817

Since it is 0.817 standard deviations away from the mean.

So, this result is not unusual.

So, it does not seem that the claimed rate of 16% is  wrong.

4 0
3 years ago
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