Here is the histogram of a data distribution. All class widths are
What is the median of the distribution?

The Z- score representing the 99th percentile is given by 2.33

Problems of commonly distributed samples can be solved using the z-score formula.

For a set with a standard deviation, the z-score scale X is provided by:

Z = ( x- mean )/ standard deviation

Z-score measures how many standard deviations are derived from the description. 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 scale is less than X, that is, the X percentage. Subtract 1 with p-value, we get the chance that the average value is greater than X.

To Find the z-result corresponding to P99, 99 percent of the normal distribution curve.

This is the Z value where X has a p-value of 0.99. This is between 2.32 and 2.33, so the answer is Z = 2.33

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Answer:

180 cm squared

Step-by-step explanation:

Area Of A Rectangle is Length times Width, so 20 times 9, which equals 180.

Step-by-step explanation:

there must be no confusion just put x= 0 u get y=0.5 which is true according to graph and also put x=2 you get y = 1.5 which is again satisfy by the graph so it is 1/2x+0.5

Answer:

y = 1/2 x + 1/2

Step-by-step explanation:

I think your answer is not wrong but if the math program won't accept it, check these two things:

Make sure the x is beside the 1/2 and is not interpreting it as the x on the bottom with the 2 which is wrong.

Also, usually we don't put a mix of decimals and fractions. So change that .5 to a 1/2. I know what you have is equivalent, but just the norms dictate how to write it. Maybe it is just some tiny detail as these two details. Please don't be confused, you aren't wrong.

Answer:

449 units

Step-by-step explanation:

Perimeter of a rectangle = 2(a+b)

= 2(223+3/2)

=449 units

Answer:  31.792.5 cu. ft.   (choice B)

=================================================

Work Shown:

[tex]V = \pi*r^2*h\\\\V \approx 3.14*15^2*45\\\\V \approx 31,792.5 \text{ cubic feet}\\\\[/tex]

The result is approximate since [tex]\pi \approx 3.14[/tex] is approximate.

[tex]\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}[/tex]

Step-by-step explanation:

Radius (r) = 15 feet

Height (h) = 45 feet

Volume = ?

Taking π ≈ 3.14..

V = 3.14 × 15² × 45

V = 31,792.5 cu. feet

So, the cylindrical tank can hold upto 31,792.5 cu. feet of water..

Answer:

37.5

Step-by-step explanation:

37.5×144/100=54 the number is 37.5

The horizontal distance from the point where it was launched is 7.143.

We have given that,

The path of the marshmallow can be modeled by the quadratic y=−0.07x^2+x+2.2,

x represents the horizontal distance from the point it is launched, in feet.

Horizontal distance means the distance between two points measured at a zero percent slope.

(1) Put x = 7.143 in given equation

y= -0.07(7.143)^2+7.143+2.2

y= 2.2

y= 5.771

We have to determine the what is its horizontal distance from the point where it was launched.

The value of x is called horizontal distance.

Therefore the horizontal distance from the point where it was launched is 7.143.

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Trigonometry functions is often employed in taking the measurement of the level or the pitch of a sound wave or musical note.

The change of amplitude of a sound wave's amplitude is linked to the change in pressure that occurs due to the wave measured at a given location.

Frequency tells the number of waves that  pass a fixed location in a specific time frame.

Sound engineers uses the basic laws of trigonometry via sine and cosine graphs.

Note that all sounds can be broken down into a lot of sine waves, as sine waves comes together to form sounds.

Therefore, Trigonometry functions is often employed in taking the measurement of the level or the pitch of a sound wave or musical note.

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Answer:

3x+4=79

Step-by-step explanation:

3x+4=79

3x=79-4

3x=75

Divide both sides by three

3x/3 = 75/3

x=25

Therefore the original number is 25.

Hope it helps.✨✨

The total number of 512 portions will be made the recipe that contains 5 fluid ounces each.

The soup recipe gives 20 gallons.

As we know one gallon produces 128 fluid ounces.

There are 20 gallons produced.

So the number of fluid ounces produced will be 20*128= 2560

Given in the question each portion contains 5 fluid ounces.

Then there is a total of 2560 numbers of fluid ounces.

So the number of portions will be = number of fluid ounces/ number of fluid ounces in each portion=  2560/5= 512

Therefore the total number of 512 portions will be made the recipe that contains 5 fluid ounces each.

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The expression that can be used to find the difference of the polynomials is (4m - 5) + ( -6m + 7 - 2n). D

Given the expression:

(4m - 5) - (6m - 7 + 2n)

Note that  - * - = +

+ * - = -

So in finding the difference, we have

(4m - 5) - ( 6m + 7 - 2n )

It could as be written as

(4m - 5) + ( -6m + 7 - 2n)

Therefore, the expression that can be used to find the difference of the polynomials is (4m - 5) + ( -6m + 7 - 2n) . D

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Answer:

The answer is 1/42 as you take reciprocal of 6=(1/6) and reciprocal of 7=(1/7) and multiply.

Answer:

[tex]\boxed {\frac{1}{42}}[/tex]

Step-by-step explanation:

Reciprocal of 6 : 1/6

Reciprocal of 7 : 1/7

Their product :

Answer:

Z = sin(xy)

[tex]\frac{1}{y} \times \frac{\partial Z}{\partial x} =\cos \left( xy\right) =\frac{1}{x} \times \frac{\partial Z}{\partial y}[/tex]

Answer:

Interpretation: A cube with sides of 4 units each has a volume of 64 units³.

Explanation:

As v(s) represents the volume of the cube, s represents the length of the sides.

∴ v(4) represents the volume of a cube with sides of  units, and the volume is 64 units³

The simplified form of the expression 2/5 x (-7)x 5/2 would be -7.

When two fractions are multiplying each other, the numerator of both fractions multiplies each other, likewise the denominator of both fractions respectively.

Use the property of real numbers to write the expression

[tex]\dfrac{2}{5} \times (-7) \times \dfrac{ 5}{2}\\\\\dfrac{10}{10} \times (-7) \\\\-7 \times 1\\\\= -7[/tex]

Therefore, The simplified form of the expression would be -7.

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Answer:

domain is all reals

Step-by-step explanation:

sorry I couldn't find the range

Answer:

-26

Step-by-step explanation:

Multiply -4 by 7

1-20-7

Subtract 20 from 1

-19-7

Subtract 7 from -19

-26

Answer:

Option B :39 degrees is the correct.

The nearest degree is 39°

Step-by-step explanation:

Laws of cosines relates each side with its opposite angle.

Formula for this is :

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

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

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

in figure a=28

              b=18

              c=25

Here we have to find angle between a and c that is B

So [tex]18^{2} = 25^{2} +28^{2} -2*25*28cosB[/tex]

324 = 625 + 784 - 1400cosB

1400cosB =  625 + 784 - 324

1400cosB = 1085

cosB = 0.775

∠B = 39.195° ≈ 39°

The boat change 39°  when it made its first turn.

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Answer:

B 39 degrees

Step-by-step explanation:

The person above me is correct and I got proof for the people with trust issues. :  )

Answer: the fourth one

Step-by-step explanation:

Answer:

D.) 8x¹²y³

Step-by-step explanation:

When an expression is raised to a power, you have to raise everything in the expression to the power when simplifying. This includes the coefficients and variables. When a variable already raised to a power is raised to another power, the powers are multiplied.

Therefore,

2³ = 8

(x⁴)³ = x⁴*³ = x¹²

(y)³ = y³

Combined, the final answer is 8x¹²y³.

Answer: C

Explanation:i got it right on my test

y=[tex]\frac{1}{2}[/tex]x+0.5

Hope it helps!

Answer:

D

Step-by-step explanation:

Passes through the x-axis at r and k

Car averages x miles per gallon means that 1 gallon is enough to drive 36 miles.

We are asked to find average miles per gallon (miles/gallon) --> average miles per gallon would be total miles driven divided by total gallons used (miles/gallon).

Total miles driven is 10+50=60.

As a car averages 25 miles per gallon in the city for 10 miles in the city it will use 10/25=0.4 gallons

A data set, the arithmetic mean, also known as arithmetic average, is a measure of the central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values.

As a car averages 40 miles per gallon on the highway for 50 miles on the highway it will use

50/40=1.25 gallons;

So average miles per gallon equals to

[tex]=\frac{10+50}{0.4+1.25}\\=36[/tex]

Therefore option D is correct.

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The expression which represents the volume of the cane will be 2(pi)x^3 + 35(pi)x^2 + 176(pi)x + 192(pi)

The most fundamental of curvilinear geometric forms, a cylinder has historically been a three-dimensional solid. From a geometric perspective, it may be compared to a prism with a circle as its basis.

Given the volume of a cylinder is given by the formula V = 3.14r^2h, where r is the radius of the cylinder and h is the height and suppose a cylindrical cane has radius (x+8) and height (2x+3)

We have to find expression which represents the volume of the cane

So as per given,

r = x+8

h = 2x + 3

v = πr²h

v = π(x+8)²(2x+3)

v = π(x²+64+16x)(2x+3)

v = π(2x³+128x+32x²+3x²+192+48x)

v = π(2x³+35x²+176x+192)

v = π2x³+π35x²+π176x+π192

Hence the expression which represents the volume of the cane will be 2(pi)x^3 + 35(pi)x^2 + 176(pi)x + 192(pi)

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Answer:

A. negative

Step-by-step explanation:

It is clear from the accompanying graph that the value of y decreases as the value of x grows. The line has a negative slope, and the right answer is C, as shown by the inverse connection between the values of x and y.

Reasoning for other incorrect options:

Answer:

16 : 19

Step-by-step explanation:

Given weights of the two castings : 32 lbs and 38 lbs respectively.

Now,

Ratio of the weights of the two castings ;

= 32 : 38

= 16 : 19

32:38

16:19

Answer:

this is my answer

Answer:

The condantrnirte will be 3x if x is 0 (underfined)

Step-by-step explanation:

Answer:

x is approximately 20.89

Step-by-step explanation:

cos(40°) = 16/x

x cos(40°) = 16

x = 16 / cos(40°) = 16/.766 = 20.89

The approximate value of x in the diagram is,

⇒ x = 20.77

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Now, We can formulate by the given figure;

⇒ sin 50° = 16 / x

⇒ 0.77 = 16 / x

⇒ x = 16 / 0.77

⇒ x = 20.77

Thus, The approximate value of x in the diagram is,

⇒ x = 20.77

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Option B is correct, the function f(x) = -7x² - x + 2  represents a quadratic function

A quadratic function is a polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and a is not equal to zero.

f(x) = -7x² - x + 2 is a quadratic function because it is of the required form.

Specifically, it has a quadratic term (-7x²), a linear term (-x), and a constant term (2).

The other three functions do not have a quadratic term and thus are not quadratic functions.

f(x) = 2x³ + 2x² - 4 is a cubic function because it has a cubic term (2x³).

f(x) = -3x + 2 is a linear function because it has only a linear term (-3x) and a constant term (2).

f(x) = 0x² + 3x - 3 is also a linear function because it has no quadratic term and only a linear term (3x) and a constant term (-3).

Hence, the function f(x) = -7x² - x + 2  represents a quadratic function

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The correct option will be Option D:      [tex]P_{10} =30000(1+0.079)^{10[/tex]

The compounds interest can be estimated by using the following formula

[tex]A =P(1+r/n)^{nt[/tex]

where

A: the final amount

P: the initial investment

r: the interest rate (in decimal)

n: the number of times the interest will be compounded per year

t: the time (in year)

Given in the problem that

the initial investment is $30,000 and the time period is 10 years,

so P=30000 and

t=10  

As we know The interest will be compounded one time per year

n=1.

now for converting the interest rate into decimal form, we will divide the rate of interest by 100.

r=7.9/100

⇒r=0.079

putting above values in the above formula

[tex]A =P(1+r/n)^{nt[/tex]

⇒ [tex]A =30000(1+0.079/1)^{(1)(10)[/tex]

⇒  [tex]A =30000(1+0.079)^{10[/tex]

⇒[tex]P_{10} =30000(1+0.079)^{10[/tex]

Therefore correct option is Option D:  [tex]P_{10} =30000(1+0.079)^{10[/tex]

By completing the above equation to find the total amount

[tex]P_{10} =30000(1+0.079)^{10[/tex]

⇒[tex]P_{10} =30000(1.079)^{10[/tex]

⇒[tex]P_{10} =64170.54[/tex]

Yolanda will have to pay $64,170.54 in her account after ten years.

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