An article discussed how anger intensity in children's tantrums could be related to tantrum duration as well as behavioral indicators such as shouting, stamping, and pushing or pulling. The following frequency distribution was given:0-<2: 136 2- <4: 92 4-<11: 7211-<20 26 20-<30 7 30-<40: 3Required:Draw the histogram and then comment on any interesting features.

Answer:

When drawing a rectangle the point of origin is P = xy and the 0 be upon the positive x axis back to P this way we have a rectangle length.

The circle is inscribed in the middle of the rectangle.

Step-by-step explanation:

0,6  as this is 1/6th of circle

9,45 as this is 3/9th of a circle

36, 22.5 as this is 5/10 of a circle

-27, -16.5 as this is   7/10 of a circle

When we join up -27 to 0 with the end line of a rectangle the base, we find it is at point for -16 for y and joined to 6 at y and has formed 10/10 of a circle.

This is not correct but may help as they are in proportion.

i thinhk is C DONT NOW

The process used to collect data will affect the validity and the bias of the study.

The way data is gathered is very important for making sure a study is accurate and doesn't have any unfair influences. Validity means how well the information collected correctly shows the things the study is trying to find out. If the way data is collected is not done correctly, it can cause incorrect or untrustworthy results, making the study less reliable

Bias means when we make mistakes or go away from the correct value or truth. If the way we collect data is biased, it can lead to unfair outcomes or favor certain groups.

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Answer:

x= 70

Step-by-step explanation:

Rectangles have four right angles (angles of 90 degrees).

The point of intersection of the diagonals divides each one of them into two equal parts.

Knowing this, we can conclude that:

m\angle c=m\angle b=55\°

Therefore, since the sum of the interior angles of a triangle is 180 degrees, we can find the value of "x":

x+m\angle c+m\angle b=180\°\\x=180\°-55\°-55\°\\x=70\°

Let’s give total students a number. Let’s say there are 800 total students

Men = x

Women = 7x. ( 7 times more)

Together there are 8x students.( 7x + x)

We have 8 x = 800

Divide both sides by 8

X = 100

100 men

700 women

Now find the fraction which is number of women / total students = 700/800 = 7/8

7/8 of the students are women.

Answer:

Check Explanation

Step-by-step explanation:

The volume of concrete required to build the bridge is missing and should be provided.

In its absence, let us assign a letter to it.

Let the volume of concrete required to build the bridge be V ft³.

And we further assume that the concrete is the only major material needed to build the bridge for the sake of our question.

Density = (mass/volume)

Density = 150 lb/ft³

Mass = ?

Volume = V ft³

Mass = (Density) × (Volume)

Mass of concrete required = 150 × V = (150V) lb

Cost of concrete is 0.80 per lb

1 lb of concrete costs 0.80

150V of concrete will cost 150V × 0.80 = (120V) currency amount.

Now, depending on the value of V, we can now determine if the city planning commission (cpc) can afford the bridge.

If 120V > 300,000 budget, the cpc cannot afford the bridge, but if 300,000 budget > 120V, then the cpc can afford the bridge.

Hope this Helps!!!

Answer:

Step-by-step explanation:

To evaluate 4P2, we will use the permutation formula as shown;

nPr = [tex]\frac{n!}{(n-r)!}[/tex]

4P2 = [tex]\frac{4!}{(4-2!}[/tex]

[tex]= \frac{4!}{2!} \\= \frac{4*3*2!}{2!}\\ = 4*3\\= 12[/tex]

4P2 = 12

Answer:

  y = 4x +16

Step-by-step explanation:

The given equation is in "point-slope" form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

The slope of the given line is m=4. This is the same slope as any parallel line.

__

The line you want can be written in the same point-slope form as ...

  y -32 = 4(x -4)

Rearranging, we have ...

  y = 4x -16 +32 . . . . . add 32, eliminate parentheses

  y = 4x +16 . . . . . . . . collect terms

Answer:

At a plus or minus 5%

Her claim is wrong

Step-by-step explanation:

Ok..

Let's calculate the total amount of result first.

6 +14+22+8+4= 54.

Let's take the percentage of each.

For A

6/54= 0.11

11.1%

11.1%*5%= 10.5

For B

14/54

=0.25925

= 25.9%

25.9%*5%= 24.605

For C

22/54

0.4074

40.7%

40.7*5%= 42.73%

For D

8/54

= 0.148

14.8%

14.8%*5% = 14.06%

For E

4/54

= 0.074

= 7.4%

7.4%*5%=7.77%

But she suggested

10% A's, 23% B's, 45% C's, 14% D's, and 8% F's

Answer:

14.3%

Step-by-step explanation:

There is only one four out of 7 total numbers.

1/7 = 0.142857 = 14.29%

We are given 7 numbers.

4 is only one card in that 7 card set so, 1/7.

1/7 = 0.1428

0.1428 * 100% = 14.28%

Therefore, the answer is roughly 14.3%

Best of Luck!

Answer:

  6 seconds

Step-by-step explanation:

The area of interest increases from 4 square feet to 16 square feet, an increase of 12 square feet. Since the area increases by 2 square feet each second, the time required for it to increase 12 square feet is ...

  (12 square feet)/(2 square feet/second) = 6 seconds

Answer:

49/99

Step-by-step explanation:

I'm assuming you want to find the fraction that gives the decimal 0.494949...

If that is the case, the 49/99 is your answer.

Answer:

4

Step-by-step explanation:

Answer:

well the shape is acute so it will be quite low work out the opposite angles and you will find out that the lines are parallels there for meaning the answer is the lowest angle

Step-by-step explanation:

Answer:

840 cm

Step-by-step explanation:

From the diagram attached, the 3 by 3 grid is made up of nine 1 cm x 1 cm squares. The the length of wire needed to make this grid consist of four rows each row having a length of 3 cm and four columns with each column having a length of 3 cm.

The length of wire required by the 3 by 3 grid = 4 column (3 cm / column) + 4 row (3 cm / row) = 12 cm + 12 cm = 24 cm

The 20 by 20 grid is made up of twenty 1 cm x 1 cm squares. The the length of wire needed to make this grid consist of twenty one rows each row having a length of 20 cm and twenty columns with each column having a length of 20 cm.

The length of wire required by the 20 by 20 grid = 21 column (20 cm / column) + 21 row (20 cm / row) = 420 cm + 420 cm = 840 cm

Answer:

[tex]x^{36}-x^{16}[/tex] is already at its simplest form

Step-by-step explanation:

You cannot factor or GCF anything out of it, and you cannot just subtract exponents. Therefore, it is simplified already.

Answer:

m = -3

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2 - x1}[/tex]

All you have to do is plug in 4 for x1, 0 for x2, 0 for y1, and 12 for y2 and you should be able to calculate your answer!

Answer:

-3

Step-by-step explanation:

→ Utilise the gradient formula

[tex]\frac{y2-y1}{x2-x1}[/tex]

→ Substitute in the values from the coordinates (4,0) and (0,12)

[tex]\frac{12-0}{0-4}=\frac{12}{-4} =-3[/tex]

→ The gradient of the line is -3

Answer:

Hi there!

The correct answers are: A, B, D, E

Step-by-step explanation:

First of all, perpendicular means when two lines intersect to form a 90° angle.

Second ⊥ means perpendicular.

When something is a bisector it means it evenly slices a line in half.

Answer:

The Amin's score in math was 46.

Step-by-step explanation:

The question is:

The average math score for Amin, azman and aziz is 73. Azman marks 35 more than Amin while aziz is twice that of Amun. What is Amin's sign?

Solution:

Let us denote that:

x = Amin's score in math

y = Azman's score in math

z = Aziz's score in math.

The average of x, y and z is, 73.

That is:

[tex]\frac{x+y+z}{3}=73\\\\\Rightarrow x+y+z = 219[/tex]

Now it is provided that:

[tex]y=x+35...(i)\\z=2x...(ii)[/tex]

Use the equations (i) and (ii) to determine the value of x as follows:

[tex]x+y+z=219\\\\x+x+35+2x=219\\\\4x=184\\\\x=46[/tex]

Thus, the Amin's score in math was 46.

Answer:

Sea Lion, fish, Bird

Step-by-step explanation:

Find the absolute value of the animals, and then compare them from least to greatest

Answer:

Th computed value of the test statistic is 3.597

Step-by-step explanation:

The null and the alternative hypothesis is as follows:

Null Hypothesis:

[tex]\mathbf{H_o:}[/tex] the population correlation coefficient is equal to zero

[tex]\mathbf{H_a:}[/tex] the population correlation coefficient is not equal to zero

The test statistics for Pearson correlation coefficient is thus computed as :

[tex]t =\dfrac{r \sqrt{(n-2)}} { \sqrt{(1-(r)^2)} }[/tex]

where;

r = correlation coefficient = 0.60

n = sample size = 25

So;

[tex]t =\dfrac{0.60 \sqrt{(25-2)}} { \sqrt{(1-(0.60)^2)} }[/tex]

[tex]t =\dfrac{0.60 \sqrt{(23)}} { \sqrt{(1-0.36} }[/tex]

[tex]t =\dfrac{0.60 *4.796} {0.8}[/tex]

t = 3.597

Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069

Decision Rule:

Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.

Conclusion:

We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.

Answer:

At least 8.96 hours of sleep to be in the top 1%.

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question, we have that:

[tex]\mu = 7.45, \sigma = 0.65[/tex]

How many hours of sleep to be on the top 1%?

The top 1% is the 100 - 1 = 99th percentile, which is X when Z has a pvalue of 0.99. So X when Z = 2.327. Then

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

[tex]2.327 = \frac{X - 7.45}{0.65}[/tex]

[tex]X - 7.45 = 0.65*2.327[/tex]

[tex]X = 8.96[/tex]

At least 8.96 hours of sleep to be in the top 1%.

Answer:

2.31

.12

7.73

Step-by-step explanation:

σx¯=0.653–√0=0.12

By plugging all the numbers into the formula z=x¯−μσx¯ we find that

2.31=x¯−7.450.12

0.28=x¯−7.45

7.73=x¯

Answer:

a, ar, ar²,ar³,ar⁴...

Answer:

We have 20% fruit juice and 70% fruit juice.

We need 60 pints of 35% fruit juice.

We set up 2 equations where t is 20% and s is 70%

t + s = 60 pints

.20t + .70s = (.35 * 60)

We solve for both unknowns

t = 42  s = 18

We need 42 pints of 20% and 18 pints of 70 %

**** DOUBLE CHECK *******************************

42 pints of 20% = 8.40 pints of juice 33.6 pints water

18 pints of 70% = 12.60 pints of juice 5.40 pints water

TOTAL mixture = 21 pints juice 39 pints water = 60 total pints

21 pints juice / 60 = .35 (or 35% fruit juice)

Correct !!!

Step-by-step explanation:

Answer:

The price that maximizes the revenue is $15 per book.

Step-by-step explanation:

We have a demand that has a linear relation to price.

The two points we will use to calculate the demand function are:

We have the equation:

[tex]q=m\cdot p+b[/tex]

Then, we replace:

[tex]q(30)=0=m(30)+b\\\\q(10)=100=m(10)+b\\\\\\b=-30m\\\\100=10m+(-30m)=-20m\\\\m=-100/20=-5\\\\b=-30(-5)=150\\\\\\q(p)=-5p+150[/tex]

The revenue R can be calculated as the multiplication of price and quantity.

We can maximize R by deriving and equal that to 0:

[tex]R=p\cdot q=p(-5p+150)=-5p^2+150p\\\\\\\dfrac{dP}{dp}=-5(2p)+150=0\\\\\\-10p+150=0\\\\p=150/10=15[/tex]

The price that maximizes the revenue is $15 per book.

The price that will offer the maximum revenue would be as follows:

$15

What information do we have,

When Price = $10, Q = 100 Units

When Price = $ 30, Q = 0 units

With the above information, we can take the equation:

Q = Maximum (p + b)

by putting the values in both the above situations,

30 = 0 = m30 + b

10 = 0 = m10 + b

we get b = -30m. by putting this, we get

100 = 10m + (-30m) = -20m

∵ q(p) = -5p + 150

Through the equation and putting the above values, we get:

[tex]R = p.q.[/tex]

[tex]= p(-5p + 150)[/tex]

[tex]= -5p^2 + 150p[/tex]

$15 as the maximum price.

Thus, $ 15 is the correct answer.

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Answer:

128 kg/m^3

[tex]solution \\ \: mass = 512 \: kg \\ volume = 4 {m}^{3} \\ now \\ density = \frac{m}{v} \\ \: \: \: \: \: \: \: \: \: \: \: \: = \frac{512}{4} \\ \: \: \: \: \: \: \: \: \: = 128 \: kg/ {m}^{3} [/tex]

hope this helps...

Good luck on your assignment

Answer:

P = 0.006

Step-by-step explanation:

If the first team have a probability of 0.9 to complete the task, we can said that the probability to not complete the task in time is 0.1. It is calculated as:

1 - 0.90 = 0.1

At the same way, the probability to not complete the task for the second and third team are 0.2 and 0.3 respectively and they are calculated as:

1 - 0.80 = 0.2

1 - 0.70 = 0.3

Finally, the the probability that the task will NOT be completed in time is the probability that any of the teams completed the task. So, it is equal to:

P = 0.1 * 0.2 * 0.3 = 0.006

Answer:

y = -2x - 1

Step-by-step explanation:

Step 1: Find the parallel line

y = -2x + b

Step 2: Solve for b

-3 = -2(1) + b

-3 = -2 + b

b = -1

Step 3: Write parallel equation

y = -2x - 1

Answer:

9

Step-by-step explanation:

Since the scale factor is 12/8 = 1.5, to find LA we have to multiply FI by 1.5 which is 6 * 1.5 = 9.

The type of triangle drawn is an isosceles triangle.

Base angles ∠ACB and ∠CAB are equal.

This is a type of triangle with base angles and opposite sides equal.

Analysis:

∠DCA = ∠CAB ( alternate angles are equal)

∠CAB + ∠ACB + ∠CBA = 180°( sum of angles in a triangle)

50 + ∠ACB + 80 = 180

130 + ∠ACB = 180

∠ACB = 180 - 130 = 50°

Since ∠ACB = ∠CAB = 50°. The triangle drawn is an isosceles triangle.

In conclusion, the triangle is isosceles because the base angles are equal.

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