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guajiro [1.7K]
2 years ago
14

A concreter has a 36kg bag of cement mix on the back of his ute .the bag broke and 1/10 was lost.How much cement mix was left in

the bag.?
Mathematics
1 answer:
katovenus [111]2 years ago
4 0

Answer:

<u>32.4 kg were left in the bag</u>

Step-by-step explanation:

1. Let's check the information provided for answering the question:

Weight of the bag of cement = 36 kg

Fraction of the cement bag lost = 1/10

2. How much cement mix was left in the bag?

For calculating how much cement was left, we use this equation:

x = Cement left in the bag

x = 36 - 1/10 * (36)

x = 36 - 36/10

10x = 360 - 36 (Multiplying by 10 at both sides)

10x = 324

<u>x = 32.4 kg</u>

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The face of a clock has a circumference of 63 in. What is the area of the face of the clock?
ryzh [129]

Answer:

The area of the clock = 315.41\ inch^{2}

Step-by-step explanation:

We have been given the face of the clock that is 63\ in

So that is also the circumference of the clock.

Since the clock is circular in shape.

So 2\pi(r)=63\ inch

From here we will calculate the value of radius (r) of the clock that is circular in shape.

Then 2\pi(r)=63\ inch =\frac{63}{2\pi} = 10.02\ in

Now to find the area of the clock we will put this value of (r) in the equation of area of the circle.

Now \pi (r)^{2}=\pi(10.02)^{2}=315.41\ in^{2}

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3 years ago
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The formula for the standard deviation of a sample is:
timofeeve [1]

Answer:

d. The variance is 9.56 and the standard deviation is 3.09.

Step-by-step explanation:

From the above question, we are given the following data set.

3, 7, 8, 8, 8, 9, 10, 10, 13, 14

a) Mean = 3 + 7 + 8 + 8 + 8 + 9 + 10 + 10 + 13 + 14/ 10

= 90/10

= 9

b) Variance

The formula for sample Variance = (Mean - x)²/ n - 1

Mean = 9

n = 10

Sample Variance =

(3 - 9)² + (7 - 9)² + (8 - 9)² + (8 - 9)² + (8 - 9)² + (9 - 9)² + (10 - 9)² + (10 - 9)² + (13 - 9)² + (14 - 9)² / 10 - 1

= 36 + 4 + 1 + 1 + 1 + 0 + 1 + 1 + 16 + 25/9

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Sample Standard deviation = √Sample Variance

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5 0
3 years ago
What values of y satisfy this equation?<br><br> 3y - 14 = 16
TiliK225 [7]

Answer:

By making y alone

Step-by-step explanation:

3y-14=16

   +14  +14

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divide 3 on both sides

y=10

Hope this helps!

6 0
3 years ago
Line b passes through the Point(-3, -4) and has a slope of -1/2. What is the equation of Line b in standard form?
Anna11 [10]

Answer:

x+2y=-11

Step-by-step explanation:

Slope intercept form of a line is given by:

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We can write:

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Now to find b, we replace x with -3 and y with -4, given, so we have:

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So, the equation is:

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Now,

The standard form is given by:

Ax+By=C

So, we take x and y to left side and the constant to right side. Rearranging, we get:

y=-\frac{1}{2}x-\frac{11}{2}\\2y=-x-11\\x+2y=-11

The first answer choice is right.

3 0
3 years ago
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