A recent study found that the average length of caterpillars was 2.8 centimeters with a
standard deviation of 0.7 centimeters. what is the probability that a randomly selected caterpillar will have a
length longer than (greater than) 4.0 centimeters?

Work Shown:

9/12 = (x+4)/(2x)

9(2x) = 12(x+4)

18x = 12x+48

18x-12x = 48

6x = 48

x = 48/6

x = 8

Answer:

[tex]x = \frac \pi4 + k\pi (k \in \mathbb{Z})[/tex]

Step-by-step explanation:

If [tex]cos\ x = 0 \rightarrow sin\ x = \pm1[/tex], which is obviously not a solution. At this point we can divide both sides by [tex]cos\ x[/tex] to get

[tex]\frac {sin\ x}{cos\ x} = 1 \rightarrow tan\ x = 1[/tex]

which has solutions [tex]x = \frac \pi4 + k\pi (k \in \mathbb{Z})[/tex]

Answer:

Rounded:

596.05

OR

596.046

Raw:

596.046447754

Step-by-step explanation:

Solved with sci calculator

Answer: 1/32

Step-by-step explanation:

1st step:  1/4 divided by 8, which is 1/4 divided by 8/1

Then for the 2nd step, you have to find the reciprocal of the 2nd fraction, so you just reverse it

2nd step:  1/4 X 1/8

3rd step.  1X1/4X8 = 1/32

You can also think of it like this.  He started with 4 pieces.  Each piece was then divided into 8 parts.  So 8X4=32 is the total number of pieces.  He's only eating 1 of those, so he's only eating 1/32.

Answer:

1/32

Step-by-step explanation:

[tex]\displaystyle \frac{\frac{1}{4}}{8}=\frac{1}{4*8}=\frac{1}{32}[/tex]

So, Jordan is thinking about eating 1/32nd of the pancake

When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.

Since the population is 6,750.

The random sample is 50.

So here be like

[tex]6750[/tex] ÷ [tex]50[/tex] × [tex]9[/tex]

= 1,215

hence, When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.

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The length of the straw will be 5.91607 inches long in radical form.

If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula

[tex]X^{2}= l^{2}+b^{2}+h^{2}[/tex]

As per the question the length of the straw is equal to length of the diagonal of Rectangular box.

l= 3 inch , b= 5 inch , h= 1 inch

Let us consider the length of the straw be 'x'.

As, Diagonal of Cuboid is,

[tex]X^{2}= l^{2}+b^{2}+h^{2}[/tex]

[tex]X^{2}= 3^{2}+5^{2}+1^{2}\\X^{2}= 9+25+1\\X^{2}= 35\\X= \sqrt{35}[/tex]

X= 5.91607 (in radical form)

Hence, the length of the straw will be  5.91607 inches.

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Step-by-step explanation:

[tex] \frac{ \cos(x) }{1 + \sin(x) } + \frac{ \cos(x) }{1 - \sin(x) } [/tex]

[tex] \frac{ \cos(x)(1 - \sin(x) + \cos(x) (1 + \sin(x)) }{1 + \sin(x))(1 - \sin(x) ) } [/tex]

[tex] \frac{ \cos(x) - \cos(x) \sin(x) + \cos(x) + \cos(x) \sin(x) }{1 - \sin {}^{2} (x) } [/tex]

[tex] \frac{2 \cos(x) }{ \cos {}^{2} (x) } [/tex]

[tex] \frac{2 \cos(x) }{ \cos(x) \cos(x) } [/tex]

[tex] \frac{2}{ \cos(x) } [/tex]

Answer:

City B

Step-by-step explanation:

Because it is the only one that makes sense.

Answer: The common difference is 7, and the next two terms are 19 and 26.

Step-by-step explanation:

Between -9 and -2 there is +7, same with between -2 and 5, as well as 5 and 12. Adding 7 to 12 again gets 19, and adding 7 to 19 gets 26 as well for the next two terms.

Step-by-step explanation:

the difference found is 4049997.9

Answer:

hi

Step-by-step explanation:

Answer:

The definition of a parabola is a symmetrical plane curve that forms when a cone intersects with a plane parallel to its side. A u-shaped graph of a quadratic function is an example of a parabola.

Step-by-step explanation:

hope this helps

have a good day<3

Answer:

7.3 cm

Explanation:

Given a right angle triangle, In order to find the third side: Use Pythagoras Theorem: a² + b² = c²

Insert values:

x² + 8.9² = 11.5²

x² + 79.21 = 132.25

x² = 132.25 - 79.21    (subtract)

x² = 53.04

x = √53.04                (square root)

x = 7.28285 ≈ 7.3     (rounded to 1 decimal place)

11.5 cm

8.9 cm

the unknown value "x"

we'll have to use pythagoras theorem.

unknown value is x

[tex] {c}^{2} = {b}^{2} - {a}^{2} [/tex]

[tex] {x}^{2} = {11.5 }^{2} - {8.9}^{2} [/tex]

[tex] {x}^{2} = 53.04[/tex]

[tex]x = \sqrt{53.04} [/tex]

[tex]x = 7.282856582[/tex]

[tex]x = 7.3 \: cm[/tex]

To minimize the probability that he incorrectly rejects the null hypothesis, David must change the (d) the significance level of the test

The sample size is given as:

n = 40

From the question, we understand that the sample size cannot be changed

This means that the standard deviation, and the mean cannot be altered too.

Since the value of the significance level is not constant, David can decide to adjust the significance level.

Hence, David must change the (d) the significance level of the test

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Answer:

d. the significance level of the test

Step-by-step explanation:

edge

Answer:

P=2.66m

A=.3318m

Step-by-step explanation:

P=1.0+.79+.87

A=.79 * .84

Answer: A origin

Step-by-step explanation:

The test statistic based on the information will be 2.74 and the degree of freedom is 15.

From the information given, the test statistic will be:

= 1.71/(1.71/✓16)

= 2.74

The degree of freedom will be:

= n - 1

= 16 - 1

= 15

In conclusion, there's no sufficient evidence to show that babies have the ability to assess surprising behavior.

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Answer:

30:1

Step-by-step explanation:

45*12 = 540

540/18 = 30

Answer: The hereditary substance in humans and virtually all other animals is DNA, or deoxyribonucleic acid. The DNA of nearly every cell in a person's body is identical.

Step-by-step explanation:

Answer:

Deoxyribonucleic acid

Step-by-step explanation:

DNA stands for Deoxyribonucleic acid, and it's a polymer composed of two polynucleotide chains, coilling around each

Answer:

(3, 6)

Step-by-step explanation:

Coordinates are written in the form (x, y), where x is the x-axis value that the point is in, in this case 3, and where y is the y-axis value, in this case 6.

Answer:  (2,3) and (2,5) cause the relation to not be a function

Explanation:

The input x = 2 leads to y = 3 and y = 5 at the same time for both points. A function is where any input x leads to exactly one y output only. So we'd need to get rid of one of those mentioned points to be able to have a function.

If you graphed the points on the same xy grid, then you'd see (2,3) and (2,5) vertically aligned. These two points cause the vertical line test to fail. This will give a visual indication we do not have a function.

Put another way, if x repeats itself then we don't have a function. The y value is allowed to repeat. So we could have something like (1,2) and (5,2) be part of a function.

Answer:

see below

Step-by-step explanation:

Standard equation for a circle with center h,k and radius r

(x-h)^2 + (y-k)^2 = r^2

so for this one   center =  (1,2)   radius = 4

Step-by-step explanation: the answer for this question should be 81.64 because to find the circumference you need to know the circumference formulas which is  C=TT times d or          C= 2 times TT times r.

C= 3.14 times 26          C= 2 times 3.14 times 13

                                       C= 81.64

C= 81.64

so the answer is 81.64 for the circle's circumference so hopefully that is the correct answer and have a great day

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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

             The diameter of a circle is 26 mm. Find its circumference.

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

C=81.7mm

[tex]\blue{\textsf{\textbf{\underline{\underline{How to solve:-}}}}[/tex]

[tex]\implies{\sf{Circumference \:of \:a \:circle:\bigstar\:\:\:C=\pi d}}}[/tex]

Where:

C=Circumference

π=pi

d=diameter

d=26 mm

Plug in the values:

[tex]\bf{C=26\pi }[/tex]

Multiply & round:

[tex]\bf{C=81.7mm}[/tex]

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The frequency table for the lengths of the 25 earthworms is shown in the image attached below.

A frequency table is a type of table that is used to graphically represent the frequencies or relative frequencies associated with a categorical variable.

In this exercise, you're required to complete the frequency table for the lengths of the 25 earthworms as follows:

In conclusion, the frequency table for the lengths of the 25 earthworms is shown in the image attached below.

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Answer:

62.83 in

Step-by-step explanation:

C is circumference

r is the radius

We sum up both, given first one radius is 2 and second one radius is 8, so we have:

The length of the belt should be around 62.83 in

Answer:

27cm²

Step-by-step explanation:

Chop the irregular shape into two rectangles!

(I divided by the inner corner next to the 5cm mark across to the side with no label at all on the left)

6x2=12 (longer rectangle)

5x3=15 (shorter rectangle)

12+15=27cm²

I hope this helps! :)

Answer:

Answer is D.

Lymphocytes.

Explanation.

How Does the Immune System Work? When the body senses foreign substances (called antigens), the immune system works to recognize the antigens and get rid of them. B lymphocytes are triggered to make antibodies (also called immunoglobulins). These proteins lock onto specific antigens.

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Answer:
Inequality 7n - 22 >= 64
Solution   7n > = 64 + 22
                7n >= 86
                  n => 12. 28 rounded down to 12
                     Grace must wash at last 12 cars