The following are the last 10 run scores Colin got in cricket:
23, 20, 4, 19, 28, 35, 25, 0, 1, 30
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 35 runs.
What is his new mean score?

Answer:

The line will cross point (0,-5) and (25,0)

Step-by-step explanation:

Proved graph in the picture using desmos graphing software

Answer:

3.28ft

Step-by-step explanation:

Rectangular Prism Formula:

l*w*d = v

(plug in values)

2.6*1.4*d=11.94

3.64*d=11.94

d = 3.28ft

Answer:

56.7%

Step-by-step explanation:

30-13=17

(on a scientific calculator) 17/30=

0.56666667 x 100= 56.7 (round it up)

you can use this method everytime when trying to find a percantge.

Answer:

Step-by-step explanation:

First expand the expression so you know the coefficients of x and y.

4(2x+y+2y) = 4(2x+3y) = 8x+12y

8x+12y  =  8x+12y

6x+7y  ≠  6x+12y

8x+y+2y  = 8x + 3y ≠  8x+12y

8x+4y+8y = 8x+12y = 8x+12y

The equivalent expression is 8x + 4y + 8y.

Option D is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

4(2x + y + 2y)

This can be simplified as,

8x + 4y + 8y

Thus,

The equivalent expression is 8x + 4y + 8y.

Learn more about expressions here:

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Answer:

20 studenti fac laba on a romania

Answer:75%

Step-by-step explanation:

Total no. of students= 80

No. of students who voted the winning candidate=60

% of students that voted for the winning team=60/80 x 100%

The value of x in given equality -3x > 15 is -5.

We have given that inequality,

-3x > 15

We have to find the value of x.

A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two

Divide both sides by -3.

−3x /−3 > 15 /−3

x<−5

Therefore the value of x is -5.

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Answer:

slope={10-7)/(-1--7)=3/(-1+7)=3/6=1/2

Answer:

3/6 or 1/2 (simplified)

Step-by-step explanation:

Use the slope formula: (change in y)/(change in x)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a. 36

b. 18

c. 27

Answer:

0.9726 = 97.26% approximate probability that X is at most 30

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped).

This means that [tex]p = 0.11[/tex]

Random sample of 200 shafts

This means that [tex]n = 200[/tex]

Mean and Standard deviation:

[tex]\mu = E(x) = np = 200*0.11 = 22[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.11*0.89} = 4.42[/tex]

(a) What is the (approximate) probability that X is at most 30

Using continuity correction, this is [tex]P(X \leq 30 + 0.5) = P(X \leq 30.5)[/tex], which is the pvalue of Z when X = 30.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30.5 - 22}{4.42}[/tex]

[tex]Z = 1.92[/tex]

[tex]Z = 1.92[/tex] has a pvalue of 0.9726.

0.9726 = 97.26% approximate probability that X is at most 30

Answer:

B

Step-by-step explanation:

V = area of base * hight ; consider the base the triangle

V= (b*h of triangle /2 ) * h of figure

V= (6*8/2)*13 = 312 cm³

Answer:

7 5/6

Step-by-step explanation:

1 1/2= 1 3/6

6 1/3= 6 2/6

 1 3/6

+6 2/6

————-

7 5/6

Answer:

6x + 4 = 40

Step-by-step explanation:

6 boxes

x = number of pencils per box

therefore Sam had 6x and received 4 more

Answer:

6x + 4 = 40

explanation

Step-by-step explanation:

6 boxes

x = number of pencils per box

therefore Sam had 6x and received 4 more

Answer:

$34.50

Step-by-step explanation:

First, how many 3/4 lbs are in 7.5 lbs?

7.5 lbs = 15/2 lbs.

(15/2) / (3/4) = 10

There are 10 "3/4" lbs in 7.5 lbs.

So, if it costs $3.45 to purchase 3/4 lbs of chopped walnuts, it would cost $3.45 times 10 dollars to purchase 7.5 lbs of chopped walnuts, or $34.50.

Let me know if this helps!

Answer:

4, 1.6, .4

add them together

you get 6

Answer:

The unknown measures 40

Step-by-step explanation:

Use the proportion that derives from the properties of parallel lines intersected by common transversals:

X/24 = 25/15  and solve for x

x = 25 * 24 / 15

x = 40

Answer:

23 * 29

Step-by-step explanation:

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Answer:

[tex]g(9) = \frac{2048}{3}[/tex]

Step-by-step explanation:

Given

[tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]

[tex]x = 9[/tex]

Required

Solve

Substitute 9 for x in [tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]

[tex]g(9) = \frac{1}{6}(8)^{9-5}[/tex]

[tex]g(9) = \frac{1}{6}(8)^{4}[/tex]

Remove bracket

[tex]g(9) = \frac{1}{6}* 8^4[/tex]

[tex]g(9) = \frac{1}{6}* 4096[/tex]

[tex]g(9) = \frac{1* 4096}{6}[/tex]

[tex]g(9) = \frac{4096}{6}[/tex]

Simplify fraction

[tex]g(9) = \frac{2048}{3}[/tex]

Answer:

1/8

Step-by-step explanation:

Answer:

11.90

Step-by-step explanation:

Answer:

D = 45 and C = 26

Step-by-step explanation:

The bigger triangle has a 90 degree corner add that to 64 and you will get 164 (all of the triangles angles have to add to 180) from 180 subtract 164 and you get 26 which is C's answer

For D just divide 90 by 2 (90/2)=45

Answer: The person up their is correct

D = 45 and C = 26

Step-by-step explanation:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.

https://magoosh.com/math/how-to-find-the-measure-of-an-angle/

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Answer:

125[tex]cm^{3}[/tex]

Step-by-step explanation:

5x5x5= 125

Step-by-step explanations:

Since the domain is a set of all real numbers, all the expression are with respect to real numbers.

a. 3 x,y : x/y < 1 ∧ y/x < 1

b. ∀x > 0, 1/x > 0

c. 3 x,y : x + y = xy

d. ∀x > 0 ∧ y > 0, x/y > 0 ∧ y/x > 0.

3 means "there exists"

∀ means "for every value of"

∧ means "and"

Step-by-step explanation:

13. 43/5 = 8 3/5

(I) he can make 8 rows .

(ii)= 3 soldiers will be left in the last row .

14. 17/2 = 8 1/2

I) she can make 8 booklets

2) yes she will have any extra sheet

3 ) 1 sheet will be left extra .

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hope this will be helpful to you .

Answer:

B is not equal to the others

Step-by-step explanation: