On Monday, there was no snow on the ground in Buffalo, New York. On Tuesday, three inches of snow fell.On Wensday a half an inch of snow melted. On Thursday two and a half more inches fell. On Friday another inch and a half melted. How much snow was left on the ground Friday night.

By using Pythagoras theorem, length of one leg of triangle can be determined.

Given:

A triangle with length of one leg and the hypotenuse

According to question,

Let the length of one leg of triangle which can be base [tex](b)[/tex] or perpendicular [tex](p)[/tex] and hypotenuse represented by [tex](h)[/tex].

Now, using Pythagoras theorem which states that if a triangle is right-angled ([tex]90[/tex] degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

From the figure,

In [tex]\Delta AOB, \;\angle O=90^\circ[/tex]

[tex]\rm{H^2=P^2+B^2}\\\rm{AB^2=AO^2+OB^2[/tex]

  [tex]h^2=p^2+b^2[/tex]

 [tex]b=\sqrt{h^2-p^2}\\[/tex]

       or

[tex]p=\sqrt{h^2-b^2}\\[/tex]

Therefore, length of one leg of the triangle is determined by using Pythagoras theorem.

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[tex]n,\ m-the\ numbers\\\\n+m=0.25\qquad(*)\\\\n:m=0.25\to\dfrac{n}{m}=0.25\to n=0.25m\qquad(**)\\\\\text{Substitute}\ (**)\ \text{to}\ (*):\\\\0.25m+m=0.25\\\\1.25m=0.25\qquad\text{divide both sides by 1.25}\\\\\boxed{m=0.2}\\\\\text{Put the value of }\ m\ \text{to}\ (**):\\\\n=0.25(0.2)\\\\\boxed{n=0.05}\\\\Answer:\ \boxed{0.05\ and\ 0.2}[/tex]

Y=3x-2, or B.

Answer:

I believe the answer is A.

Step-by-step explanation:

Answer with explanation:

→The given curve is Quadratic,having two real roots,as it cuts X axis at two distinct points that is at ,-2 and -4.

→Graph is symmetrical about line , x=-3.

→This curve is a Parabola,opening in upward direction ,that is having Y axis as Axis of Symmetry.

→Parabola is defined as locus of all the points such that distance from fixed point called focus, to distance from fixed line called Directrix ,is always Constant.

→Point which divides PARABOLA in two symmetrical parts is called Vertex having coordinates (-3,-1).

Equation of parabola having vertex ,(-3,-1) and opening in Upward Direction,that is in vertical direction, is given by:

General Equation: Equation of parabola passing through point (a,b) and opening in upward direction and having focus (k,h) is

y-b=4 k× (x-a)²

So, the  equation of parabola will be

→y-(-1)=4 k[x-(-3)]²

→y+1==4 k(x+3)²-----(1)

This parabola also passes through (-4,0) and (-2,0).

→0+1=4 k×(-4+3)²

→1=4 k×(-1)²

[tex]1=4 k\\\\k=\frac{1}{4}[/tex]

If you will substitute , x=-2 and y=0 in equation 1,you will get same value of k.

Equation of Parabola ,that is equation 1,can be written as

[tex]y+1=4\times\frac{1}{4}(x+3)^2\\\\y+1=(x+3)^2\\\\ y=(x+3)^2-1[/tex]

Option B: y=(x+3)²-1

Answer:

The answer would to be able to multiply the answers together. For example, the answer for this question would be 5,343 dollars rounded to the nearest tenth.

Step-by-step explanation:

To establish a 99% confidence interval for the population standard deviation, we first need to calculate the sample standard deviation of the data. We then use the Chi-Square distribution with the appropriate degrees of freedom to get the interval. The formula [√((n-1)*s²/χ²0.995,n-1), √((n-1)*s²/χ²0.005,n-1)] can be applied.

This question refers to constructing a 99% confidence interval for the population standard deviation using the information from a sample. The mentioned sample comprises measures of daily intakes of milk in ounces for ten randomly selected people. To address this, first, we need to calculate the sample standard deviation. After that, we use Chi-Square distribution (χ² distribution) to create the confidence interval for the standard deviation since population standard deviation (σ) is unknown.

Let's denote:

99% confidence interval for the population standard deviation σ can be found using the formula:
[√((n-1)*s²/χ²0.995,n-1), √((n-1)*s²/χ²0.005,n-1)]
Here, χ²0.995,n-1 and χ²0.005,n-1 represent the values from χ² distribution table corresponding to 0.005 and 0.995 (For 99% confidence interval, α=1-0.99=0.01. α/2=0.01/2=0.005) with n-1 degrees of freedom.

Please note that all numbers should be rounded according to the context, and the final values are but estimates that should not be treated as 100% accurate.

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Answer: The answer i false

Step-by-step explanation:

Answer:

5:9

Step-by-step explanation:

The solution is, 1575  + 0.9x, is a linear equation for his monthly income for sales of x dollars.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

Here, we have,

given that,

A computer salesperson's monthly income depends on the amount of his sales.

his monthly income is a salary of $1575 plus 9% of his monthly sales.

Fixed salary = $1575

Commission = 9% = 0.09

Monthly Sales = x

Monthly income = 1575  + 0.9x

Answer:  Monthly income = 1575  + 0.9x

Hence, The solution is, 1575  + 0.9x, is a linear equation for his monthly income for sales of x dollars.

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