Need help! Geometry!

Answer:

B. Events H and C are dependent and P(H|C) < P(C|H)

Step-by-step explanation:

The ratios of groups with children to hiking groups on the trail are different for the two trails.

P(H|C) = 15/45 = 1/3

P(C|H) = 15/40 = 3/8

1/3 < 3/8 so the comparison of choice B is appropriate.

ANSWER

Y-intercept: 3000

Slope:-275

Linear equation:y=-275x+3000

EXPLANATION

The straight line touches the y-axis at

(0,3000).

The y-intercept is b=3000

The line also passes through (2,2450).

The slope is calculated using the formula,

[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]

[tex] = \frac{3000 - 2450}{0 - 2} [/tex]

[tex] = \frac{550}{ - 2} = - 275[/tex]

The slope is -275.

The linear equation is given by:

[tex]y = mx + b[/tex]

[tex]y = - 275x + 3000[/tex]

Final answer:

To solve the system of equations x + y = 6 and 12x + y = 5, substitute 6 - y for x in 12x + y = 5 and solve for y.

Explanation:

To solve the given system of equations x + y = 6 and 12x + y = 5, we need to substitute the value of x or y into the second equation. In this case, substituting 6 - y for x in 12x + y = 5 will allow us to solve for y.

Let's substitute 6 - y for x:

12(6 - y) + y = 5

After simplifying, we get:

72 - 12y + y = 5

Combining like terms:

-11y = -67

Dividing both sides by -11, we find that y = 67/11 or approximately 6.09.

So, option 1: 6 - y for x in 12x + y = 5 is the correct expression to substitute.

Answer:

[tex]7.5m^2[/tex]

Step-by-step explanation:

Divide the composite shape into two shapes, a rectangle and a triangle.

We can see that the rectangle has dimensions of 3 x 2.

We can use the area formula.

[tex]A=b*h[/tex]

[tex]A=3*2[/tex]

[tex]A=6[/tex]

We can also see that the triangle has a height of 3 and a base of 1 (3 - 2).

We can use the area formula.

[tex]A=\frac{1}{2}(b*h)[/tex]

[tex]A=\frac{1}{2}(3)[/tex]

[tex]A=1.5[/tex]

Now we can add these areas together.

[tex]1.5 +6=7.5[/tex]

Answer:

• c = √89 ≈ 9.434

• A = arcsin(8/√89) ≈ 57.995°

• B = arcsin(5/√89) ≈ 32.005°

Step-by-step explanation:

By the law of cosines, ...

c² = a² + b² -2ab·cos(C)

Since c=90°, cos(C) = 0 and this reduces to the Pythagorean theorem for this right triangle.

c = √(8² +5²) = √89 ≈ 9.434

Then by the law of sines (or the definition of the sine of an angle), ...

sin(A) = a/c·sin(C) = a/c = 8/√89

A = arcsin(8/√89) ≈ 57.995°

sin(B) = b/c·sin(C) = b/c = 5/√89

B = arcsin(5/√89) ≈ 32.005°

Answer: OPTION A

Step-by-step explanation:

You can convert  30 kilograms to grams ([tex]1\ kilogram= 1,000\ grams[/tex]), then:

[tex](30\ kilograms)(\frac{1,000\ grams}{1\ kilogram})=30,000\ grams[/tex]

Then, if a book in the bookcase has a mass of 400 grams and you need to find the number of books of the same mass that would take to equal the mass of the bookcase, you can divide the weight of the bookcase (in grams) by the weigth of one of these books.

Therefore:

[tex]books=\frac{30,000\ grams}{400\ grams}\\\\books=75[/tex]

Answer:

y = 1/2x -8

Step-by-step explanation:

The two marked points are 1 unit apart vertically and 2 units apart horizontally. The vertical rise is positive for a positive horizontal run, so the slope is ...

rise/run = 1/2

The y-intercept is the leftmost marked point, at y=-8. Then the slope-intercept form of the equation of the line is ...

y = slope·x + y-intercept

y = 1/2x -8

A)

Prime numbers and numbers with a multiple of four that are between 1 and 14 include: 1, 2, 3, 4, 5, 7, 8, 12, 13.

There are 9 numbers listed.

9/14 = ~0.64285... or roghly 65.3%

B) Numbers between 1 and 14 with the multiples of 2 or 3 include: 2, 4, 6, 8, 9, 10, 12, 14.

There are 8 numbers listed.

8/14 = ~0.5714... or, about 57.14%

C) 3 and 4 is a list of two numbers.

2/14 = 1/7 = ~0.1429, or about 14.9%

D) There is a total of  numbers equal to or less than 8 in a list of 1 and 14.

8/14 = ~0.5714... or, about 57.14%

Answer:

12.5

Step-by-step explanation:i did that problem before

Answer:

3 : 36 10: 120 6:72

Step-by-step explanation:

60 divided by 5 is 12

3 x 12 = 36

10 x 12 = 120

72/12= 6

3-36

5-60

6-72

10-120

One month equals 12$ saved

Answer:

Sadly, it is still high in debate. Scientists are still in doubt of the Hypothesis, so no. Some may claim there is a solution, though.

Step-by-step explanation:

Final answer:

The Riemann Hypothesis is an unsolved mathematical problem, with no validated solution as of yet, and remains one of the Millennium Prize Problems in mathematics.

Explanation:

The Riemann Hypothesis is one of the most famous and long-standing unsolved problems in mathematics, specifically in the area of number theory. It postulates that all non-trivial zeros of the Riemann zeta function, a complex function important for understanding the distribution of prime numbers, have their real parts equal to 0.5. Despite significant efforts by mathematicians over the years, the solution to the Riemann Hypothesis remains elusive, and no proof or disproof has been universally accepted by the mathematics community.

As of my knowledge cutoff in 2023, researchers continue to explore various mathematical approaches and even computational methods to tackle this problem. However, no experiment or scientific test can validate the hypothesis since it is a purely mathematical conjecture. A resolution of the Riemann Hypothesis would have profound implications for number theory and related fields, yet it remains one of the seven Millennium Prize Problems, with a reward of one million dollars offered for a solution.

Answer:

m∠1 = 92°

Step-by-step explanation:

∠2 corresponds to the supplement of ∠3 if (and only if) lines a and b are parallel. We find that

m∠2 + m∠3 = 73° +107° = 180°

so, the angles are supplementary and lines a and b are parallel.

Angles 4 and 1 are corresponding angles where the line d crosses the parallel lines a and b, so are congruent.

m∠1 = m∠4 = 92°

Answer:

20%

Step-by-step explanation:

So, 40 is the dependent and 8 is the independent

40% divided by 8% equals 5%

100% divided by 20% equals 5%

Answer:

[tex]b=\frac{g}{x} + \frac{5}{x^{3} } +\frac{1}{x^{2} }[/tex]

Step-by-step explanation:

[tex]10=\frac{5}{-2}-b(-2)^{2} +1\\\\\\9=\frac{5}{-2} -b(4)\\\\-18=5-b(4)\\\\-23=-b(4)\\\\\frac{-23}{4} =-b\\\\\frac{23}{4}=b\\\\\\b=\frac{23}{4}[/tex]

Answer:

i think it is the last one

Step-by-step explanation:

-2/25^3x^3

Answer:

26 terms

Step-by-step explanation:

The n-th term of this sequence with a common difference of 5 and a first term of -2 is ...

an = -2 +5(n -1)

The sum of the first n terms is ...

(a1 +an)/2·n = (-2 -2 +5(n -1))/2 ·n = 1573

n(5n -9) = 3146

5n^2 -9n -3146 = 0 . . . . . quadratic in standard form

Using the quadratic formula, we can find the positive solution for n to be ...

n = (9+√((-9)^2-4(5)(-3146)))/(2·5) = (9+√63001)/10 = 260/10 = 26

26 terms must be added to give the desired sum.

_____

Relevant formulas are ...

Sn = n(2a1 +d(n-1))/2 . . . . sum of n terms of arithmetic sequence with first term a1 and common difference d

x = (-b±√(b^2 -4ac))/(2a) . . . . . solutions to ax^2 +bx +c = 0

there are 4,500 of 4 digit multiples of 2

Answer:

4500

Step-by-step explanation:

Answer:

$1214.19

Step-by-step explanation:

Let c and p represent the cost of the sofa and the original selling price, respectively. The original markup was 0.69·p, so we have ...

c + 0.69p = p . . . . . based on selling price, the original markup was 69%

c = p(1 -0.69) = 0.31p . . . . subtract the markup

p = c/0.31 . . . . . . . . . . . . . divide by the coefficient of c

So, the original selling price was ...

520/0.31 ≈ 1677.42

The first markdown decreased the selling price to ...

1677.42 - 0.13·1677.42 = 0.87·1677.42 ≈ 1459.36

The markup increased the selling price to ...

1459.36 +0.30·1459.36 ≈ 1897.17

And the final markdown decreased the selling price to ...

1897.17 -0.36·1897.17 ≈ 1214.19

The final sale price was $1214.19.

Answer:

It reduces the distance from the plotted points to the function curve.

Step-by-step explanation:

The goodness of fit of a model is measured by the "residuals", the differences between the given points and the modeled points. The smaller the residuals, the better the model. Any change to the model that will put it closer to the plotted points makes it a better model. The change proposed in your problem statement does that.

Answer:

40

Step-by-step explanation:

The measure of the angle KJL is 40°.

Circle definition states a shape that consists of points, in a two-dimensional plane, equidistant from a given point. A circle is a closed curve that has no corners or vertices.

Given is a circle O where m arc IVK = 120° and m arc KP = 2 × m arc IP,

We need to find the measure of the angle KJL,

So,

According to the question,

m arc IVK + m arc KPI = 360° [whole circumference of a circle is 360°]

m arc IVK + m arc KP + m arc IP = 360°

120° + m arc IP + 2 × m arc IP = 360°

3 m arc IP = 240°

m arc IP = 80°

Therefore,

m arc KP = 160°

Now, according to the property of a circle,

m ∠KJL = 1/2 × [m arc KP - m arc IP]

m ∠KJL = 1/2 × [160° - 80°]

m ∠KJL = 80°/2

m ∠KJL = 40°

Hence the measure of the angle KJL is 40°.

Learn more about circle click

https://brainly.com/question/29142813

#SPJ2

Answer:

Step-by-step explanation:

[tex]\text{The formula of a discriminant of}\ ax^2+bx+c=0:\\\\b^2-4ac\\\\================================\\\\\text{We have the equation:}\\\\3x^2-4x+2=0\to a=3,\ b=-4,\ c=2\\\\\text{Substitute:}\\\\b^2-4ac=(-4)^2-4(3)(2)=16-24=-8[/tex]

Answer:

B(5,2)

Explanation:

AC=8 units

AB must equal 2 units.

If line AC is y=x-3, and x values are -1<x<7 in AC, then B is located in x= 5. Plug x in equation.

y=5-3

y=2

B(5,2)

Answer:

(P, Q) = (-75, 57)

Step-by-step explanation:

The equation will have infinitely many solutions when it is a tautology.

Subtract the right side from the equation:

Px +57 -(-75x +Q) = 0

x(P+75) +(57 -Q) = 0

This will be a tautology (0=0) when ...

P+75 = 0

P = -75

and

57-Q = 0

57 = Q

_____

These values in the original equation make it ...

-75x +57 = -75x +57 . . . . . a tautology, always true

Answer:

The product of [tex]\frac{5}{6}[/tex] and [tex]\frac{2}{3}[/tex] is [tex]\frac{5}{9}[/tex] .

Step-by-step explanation:

Multiply both numerators and denominators.

[tex]\frac{5*2}{6*3}[/tex]

[tex]\frac{10}{18}[/tex]

Simplify this by dividing both the numerator and denominator by 2.

[tex]\frac{10/2}{18/2}[/tex]

[tex]\frac{5}{9}[/tex]

[tex]\text{Hey there!}[/tex]

[tex]\text{The word product means multiply}[/tex]

[tex]\dfrac{5}{6}\times\dfrac{2}{3}=\ ?\\\\\\\dfrac{5(2)}{6(3)}=\dfrac{5\times2}{6\times3}\\\\\bf{5\times2=10}\\\\\bf{6\times3=18}\\\\\\=\dfrac{10}{18}\\\\\\\text{Both numbers foes into two so we can DIIVIDE it by two}\\\\\\\dfrac{10\div2}{18\div2}=?[/tex]

[tex]10\div2=5\\\\\18\div2= 9\\\\\\\boxed{\boxed{\bf{Answer:\dfrac{5}{9}}}}\checkmark[/tex]

[tex]\text{Good luck on your asignment and enjoy your day!}\\\\\\\frak{LoveYourselfFirst:)}[/tex]

Answer:

C

Step-by-step explanation:

Use such properties of logarithms:

[tex]\log_w\dfrac{a}{b}=\log_wa-\log_wb,\\ \\\log_wa^b=b\log_wa[/tex]

Thus,

[tex]\log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2+8} }=\text{use the first property}=\\ \\=\log_w(x^2-6)^4-\log_w\sqrt[3]{x^2+8}=\\ \\=\log_w(x^2-6)^4-\log_w(x^2+8)^{\frac{1}{3}}=\text{use the second property}=\\ \\=4\log(x^2-6)-\dfrac{1}{3}\log_w(x^2+8).[/tex]

Answer:

The answer is C

Step-by-step explanation:

Use such properties of logarithms:

\log_w\dfrac{a}{b}=\log_wa-\log_wb,\\ \\\log_wa^b=b\log_wa

Thus,

\log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2+8} }=\text{use the first property}=\\ \\=\log_w(x^2-6)^4-\log_w\sqrt[3]{x^2+8}=\\ \\=\log_w(x^2-6)^4-\log_w(x^2+8)^{\frac{1}{3}}=\text{use the second property}=\\ \\=4\log(x^2-6)-\dfrac{1}{3}\log_w(x^2+8).

Answer:

Step-by-step explanation:

Givens

V = 58 in^3

h = 5 inches

pi = 3.14

Formula

V = pi * r^2 * h

Solution

58 = 3.14 * r^2 * 5

58 = 15.7 * r^2

58/15.7 = r^2

3.6942 = r^2

sqrt(r^2) = sqrt(3.6942)

r = 1.922 which when rounded is

r = 1.92

Answer: r=1.92

given what we know about the equation i can determine what steps are needed to solve this :)

volume

1) V = 58 in^3

we know that h=5inches

2) h = 5 inches

heres what pi equals

3) pi = 3.14

then we use pi in the equation

4)= pi * r^2 * h

heres the solution steps

1)58 = 3.14 * r^2 * 5

2)58 = 15.7 * r^2

3)58/15.7 = r^2

4)3.6942 = r^2

5)sqrt(r^2) = sqrt(3.6942)

6)r = 1.922 then we round and get  r = 1.92

so final solution is r = 1.92

×║hope this helps║×

Answer:

b= -1

Step-by-step explanation:

y=3x+b

8=3(3)+b

8=9+b

b= -1

Answer:

10.153 years

Step-by-step explanation:

The future value of such an investment is given by ...

FV = P·(1 +r/12)^(12t)

where P is the principal invested, FV is the future value of it, r is the annual interest rate, and t is the number of years.

Dividing by P and taking the log, we have ...

FV/P = (1 +r/12)^(12t)

log(FV/P) = 12t·log(1 +r/12)

Dividing by the coefficient of t gives ...

t = log(FV/P)/log(1 +r/12)/12 = log(3000/2000)/log(1 +.003333...)/12 ≈ 121.842/12

t ≈ 10.153 . . . years

Answer:

h = 7 + 6x

Step-by-step explanation:

Since we are trying to find the height of the tree, we put h on the left side of the equation. Since the tree is 7ft tall at the moment, we write 7ft on the right side of the equation. Knowing that the tree grows 6 inches each year (x) we write 6x on the right side of the equation.

Answer:

H=7+6x

Hope this helps

All you have to do is treat the inequality like an equation and multiply both sides by 2.

[tex]-x<2 \\ \\ x>-2[/tex]

Answer: x> -2

Step-by-step explanation:

step 1 :take 2 to the other side ,and 1 will multiply by 2 which will give you 2

step 2 : take the negative or -1 to the other side ( you will divide 2 by -1 ) which will result to a -2

step 3: most important thing to remember once you multiply or divide by a negative number you will have to change the inequality sign ( in this case the smaller than sign changes to bigger than because you divided by -1 in step 3 )

hope this helped