Use the information in the table to answer the question. A 3-column table has 1 row. The first column is labeled Species with entry Goldfish. The second column is labeled Mean with entry 7 inches. The third column is labeled Standard Deviation with entry 1.2 inches. What percentage of goldfish will have lengths between 4.6 inches and 9.4 inches?

Answer:

Step-by-step explanation:

If two triangles are similar, the ratio of the area of the triangles is proportional to the squares of its corresponding sides.

area of ΔJKL/area of ΔLMN = (JK)²/(NM)²

[tex]\frac{392}{8}=\frac{(35)^{2}}{(NM)^{2}}\\\\49=\frac{(35)^{2}}{(NM)^{2}}\\[/tex]

Cross multiply,

49*(NM)²= 1225

[tex](NM)^{2}=\frac{1225}{49}\\\\(NM)^{2}=25\\\\NM=\sqrt{25}\\\\[/tex]

NM = 5 cm

Answer:

x = −1, x = 1, and x = - 3

Step-by-step explanation:

hello :

if : x=1      1^3 + 3×1^2 − 1 − 3 =1+3-1-3 =4-4=0......true

if : x=-1     (-1)^3 + 3×(-1)^2 +1− 3 =-1+3.+1-3.=0...true

if : x=3      (-3)^3 + 3×(-3)^2 + 3 − 3 =-27+27+3-3.=0.....true

Answer:

32.4

135 x 24% = 135 x 0.24 = 32.4

Step-by-step explanation:

Answer:

32.4

Step-by-step explanation:

135 times 24 dived by 100

Answer:

X ∈ { 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, 300, 206, 312, 318, 324, 330, 336, 342, 348, 354, 360, 366, 372, 378, 384, 390, 396, 402, 408, 414 }

Step-by-step explanation:

See procedure below;

Set X { all multiples of 6 between 15 and 70, provided multiples belong to the set of natural numbers },

Set X { 6n | 15 < n < 70, n ∈ natural numbers },

n ∈ { 16, 17, 18, 19, 20, 21, 22, 23, 24, 25.........69 },

X ∈ { 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156.........414 }

Answer; { 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, 300, 206, 312, 318, 324, 330, 336, 342, 348, 354, 360, 366, 372, 378, 384, 390, 396, 402, 408, 414 }

The data of set A is A = {18, 24, 30, 36, 42, 48, 54, 60, 66}

The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B

The union of two sets is a new set that contains all of the elements that are in at least one of the two sets

The intersection of two sets is a new set that contains all of the elements that are in both sets

Given data ,

Let the set be represented as A

Now , the value of A is

A = set of all multiples of 6 between 15 and 70

On simplifying , we get

A = {18, 24, 30, 36, 42, 48, 54, 60, 66}

Hence , the set is A = {18, 24, 30, 36, 42, 48, 54, 60, 66}

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Answer:

y = -2/3x - 3

Step-by-step explanation:

y = mx + b

m = slope

(-3,-1) = (x,y)

Plus in the coordinates

-1 = -2/3(-3) + b

negative times negative = positive

-2/3 * -3 = 2

-1 = 2 +b

Use inverse operations

-2 --2

-3 = b

y = -2/3x - 3

Answer:

y = -2/3 x - 3

Step-by-step explanation:

since you have a point and a slope, you can use point - slope form

Answer:

In about 9 months the population of the towns will be equal.

Step-by-step explanation:

The population of both cities, after t months, can be modeled by linear functions.

Town A:

Population of 53330.

About 75 people move out of the town each month. Each​ month, 175 people on average move into town.

So, after t months, the population will be:

[tex]A(t) = 53300 + (175 - 75)t[/tex]

[tex]A(t) = 53300 + 100t[/tex]

Town B:

Population of 55,825.

An average of 175 people moving away every month.

So, after t months, the population will be:

[tex]B(t) = 55825 - 175t[/tex]

In about how many months will the populations of the towns be​ equal?

This is t for which:

[tex]A(t) = B(t)[/tex]

[tex]53300 + 100t = 55825 - 175t[/tex]

[tex]275t = 2525[/tex]

[tex]t = \frac{2525}{275}[/tex]

[tex]t = 9.18[/tex]

Rounding to the nearest number

In about 9 months the population of the towns will be equal.

Answer:

6,912....

Step-by-step explanation:

6 times 12 times 6 time 4 times 4 = 6,912

Answer:

= 360 ft³

Step-by-step explanation:

Rectangular prism

Volume = length x width x height

V = l x w x h

V = 12 x 6 x 4

V = 288 ft³

Triangular prism

Volume = 1/2 x base x height x length

V = 1/2 x 6 x 4 x 6 ( the width of the rectangular prism is the base of the triangular prism)

V = 1/2 x 144

V = 72 ft³

ADD BOTH VOLUMES

= 288 + 72

= 360 ft³

Answer:

[tex]\frac{3}{50}[/tex] chance.

Step-by-step explanation:

Probability of getting a green: [tex]\frac{6}{4+2+6+8}[/tex] = [tex]\frac{6}{20} = \frac{3}{10}[/tex]

Probability of getting red: [tex]\frac{4}{4+2+6+8} = \frac{4}{20} = \frac{1}{5}[/tex]

[tex]\frac{1}{5} * \frac{3}{10} = \frac{3}{50}[/tex]

There is a [tex]\frac{3}{50}[/tex] chance of getting a green then red marble with replacement.

Answer:

1. 24 ft

B. 2

3. 150

4. 34

5. 864

6. 1925

7. 480

8. 22440

Step-by-step explanation:

Answer:

Option C is correct.

f = 2

Step-by-step explanation:

The mean is the sum of variables divided by the number of variables

Mean = (Σfx)/(Σf)

xi | 15 | 17 | 20 | 30 | 10 + f

fi | 4 | 4 | 6 | 5 | 6

Σfx = (15×4) + (17×4) + (20×6) + (30×5) + [(10+f)×6] = 60 + 68 + 120 + 150 + 60 + 6f = (458 + 6f)

Σf = 4 + 4 + 6 + 5 + 6 = 25

Mean = 18.8

18.8 = (458+6f) ÷ 25

458 + 6f = 25 × 18.8 = 470

6f = 470 - 458 = 12

f = (12/6) = 2

Hope this Helps!!!

0.4 * 0.6 this gives

0.24

Answer:

Step-by-step explanation:

You have a 10 gallon jug and a 3 gallon jug and need exactly 5 gallons of water.

This what you do:

- Fill the 3 gallons jug full and pour into the 10 gallons keg

- Repeat the above a second time making a total of 6 gallons of water in the 10 gallons jug.

- Fill the 3 gallons jug a third time and pour into the 10 gallons jug making 9 gallons

- Fill the 3 gallons jug the fourth time and pour into the 10 gallons jug till full leaving 2 gallons of water remaining in the 3 gallons jug.

- Then empty out the 10 gallons jug and pour the 2 gallons of water in the 3 gallons jug into the 10 gallons jug.

- Then, fill the 3 gallons jug again and pour into the 10 gallons jug holding the 2 gallons of water making a total of 5 gallons of water in the 10 gallons jug.

Hope, that helps!!!

Answer:

(1,-3)

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

you multiply  4 times 8 and 1.5 times 4 and 1.5 times 2

Answer:

12 soccer practices

Step-by-step explanation:

1 Soccer practice = 2 / 3 hour

We have 8 hours

8 / 2/3

multiply the top and bottom by 3 to get rid of the 3

8 * 3 = 24

2/3 * 3 = 2

24 / 2 = 12

Answer:

One way to answer your problem is by using proportions, and the following method can be done:

Step-by-step explanation:

[tex]\frac{1}{\frac{2}{3}}=\frac{x}{8}[/tex]

Then that reduces to the following:

[tex]\frac{8}{\frac{2}{3}}=x=12[/tex]

So the answer would be 12 practices.

Answer:

The 90th term of the arithmetic sequence is 461.

Step-by-step explanation:

Arithmetic sequences concepts:

The general rule of an arithmetic sequence is the following:

[tex]a_{n+1} = a_{n} + d[/tex]

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

[tex]a_{n} = a_{1} + (n-1)*d[/tex]

In this question:

[tex]a_{1} = 16, d = 21 - 16 = 26 - 21 = 5[/tex]

So

90th term

[tex]a_{90} = a_{1} + (90-1)*d[/tex]

[tex]a_{90} = 16 + 89*5[/tex]

[tex]a_{90} = 461[/tex]

The 90th term of the arithmetic sequence is 461.

Answer: Bea has $30 saved

Step-by-step explanation:

Add 10: 50+10=60

Divide by 2: 60/2=30

Answer:

1. -x³

2. m²

3. -1.5t⁷

Step-by-step explanation:

x⁶^½ = +/- x³

Since x is negative, postive square root would be -x³

m⁴^½ = +/- m²

Positive square root is m²

t¹⁷^½ = +/- t⁷

Since t is negative, postive square root would be -t⁷

1.5 × -t⁷ = -1.5t⁷

Answer:

A

Step-by-step explanation:

if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is

(x-x1)(x-x2)+(y-y1)(y-y2)=0

reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0

[tex]x^{2} +x-5x-5+y^2+9y-y-9=0\\x^{2} -4x+y^2+8y-14=0\\compare with x^2+y^2+2gx+2fy+c=0\\center (-g,-f) \\radius r=\sqrt{g^2+f^2-c}[/tex]

center is (2,-4)

r=√(2²+(-4)²-(-14))

=√(4+16+14)

=√(34)

eq. of circle is (x-2)²+(y+4)²=34

or

(x²-4x)+(y²+8y)=14

(x²-4x+4)+(y²+8y+16)=14+4+16

(x-2)²+(y+4)²=34

Answer:

Step-by-step explanation:

If we are to find f(x) + g(x) that we means that we are to add the functions together by combining like terms, if any, and put it all together into one function. Adding them looks like this:

[tex]-3x+7+2x^2-8[/tex] and combining like terms gives us

[tex]2x^2-3x-1[/tex]

Answer:A

Step-by-step explanation:

A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 8. A line divides the box at 6. Option A is correct.

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value. Horizontal lines on both sides of the rectangle show the lower and upper quartiles.

Here,

The lower quartile (Q1) of the data set is 3, so the bottom of the box must start at 3.
The interquartile range (IQR) is 5, so the upper quartile (Q3) must be
Q1 + IQR = 3 + 5 = 8

The median (also called the first quartile) is halfway between Q1 and Q3, so it must be at (Q1 + Q3) / 2 = (3 + 8) / 2 = 6.

The whiskers extend to the minimum and maximum values within 1.5 * IQR of the box, so they must range from 2 to 15.

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Answer:12

Step-by-step explanation:37=3x+1

Answer:

1:2

Step-by-step explanation:

Let's say there are x males and y females in the class.

The sum of all male weights will be 72x, and the sum of all female weights will be 60y.

If we get a class mean weight, we have:

(72x + 60y) / (x+y) = 68

72x + 60y = 68x + 68y

4x = 8y

y / x = 4/8 = 1/2

So the ratio of females to males is the class is 1:2

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

µ = 68.8

For the alternative hypothesis,

µ ≠ 68.8

This is a two tailed test.

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 26,

Degrees of freedom, df = n - 1 = 26 - 1 = 25

t = (x - µ)/(s/√n)

Where

x = sample mean = 72.8

µ = population mean = 68.8

s = samples standard deviation = 2.5

t = (72.8 - 68.8)/(2.5/√26) = 8.16

We would determine the p value using the t test calculator. It becomes

p < 0.00001

Assuming a significance level of 0.05, then

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the average life span of the residence of Oregon differs from the world average.

Answer:

The local minimum point of f(x) is at the point (-2,-2)

Step-by-step explanation:

the minimum point is located on the very bottom of the parabola!

so its cut off but its (-2,-2)

sorry I didnt see the 6,-2

so I am gussing the y-value is the minimum point so it should be -2....tell me if I am wrong but if your looking for a points it (-2,-2) if your looking for the value it would be -2

pls mark me brainliest

Answer:

QRU and VUR

Step-by-step explanation:

Alternative interior angles are angles that have the same degrees, but different locations. In this case, you can see QRU has the same degree of angle as VUR; They are only in different locations.

- Hope that helps! Please let me know if you need further explanation.

Answer:

QRU and VUR

Step-by-step explanation:

Hope this helps!

Answer:

$48

Step-by-step explanation:

The rectangular wall is 6.5 m long and 3 m high and needs two coats of paint. This means the wall will be painted twice.

First, we find the area of the wall. The area of a rectangle is given as:

A = L * B

where L = length and B = breadth

Therefore, the area of the wall is:

[tex]A = 6.5 * 3 = 19.5 m^2[/tex]

One litre of paint covers an area of [tex]10m^2[/tex].

The paint can only be purchased in a full number of litres.

Therefore, let us find how many litres it will take to paint the wall once:

[tex]10m^2[/tex] = 1 litre

[tex]19.5 m^2[/tex] = 19.5 / 10 = 1.95 litres

Since the paint can only be bought in full number of litres, we approximate 1.95 litres to whole number, that is 2 litres.

2 litres is needed to paint the wall once.

Therefore, we need double of that to paint the wall twice, that is:

2 * 2 = 4 litres

Paint costs $12 per litre, therefore, the price for 4 litres is:

4 * 12 = $48

The cost of paint for the wall is $48.

Answer:

Step-by-step explanation:

This solid figure is a cone,

Volume=(πr²H)/3 cubic units

r ----> radius

H -------> height