Ellie bought two planks of wood that were each 4ft 3in long, and two planks of wood that were each 6 ft 5in long. What is the total length of the wood she purchased?

Answer:

clearly the value of the test statistics shows that there are no enough evidence to support the claim that the proportion of the grads are the same.

Step-by-step explanation:

lets prove the statement by counter example, where if we have found the statement to be false for one then we conclude that it is false for all.

first lets explain what proportion is all about; proportion can be explained as the numerical relationship that compares things together.

in particular lets take grade A proportional to grade B which implies that 18:20

clearly if we observe here grade A is not same proportion with grade B. hence we conclude that there are no enough evidence to support the professor's claim.

Answer:

The rate of interest is 20% and the sum is $3,750

Step-by-step explanation:

In order to calculate the sum and rate of interest we would have to make the following calculation:

rate of interest= (sum in 4 years-sum in 3 years)*100/sum in 3 years*1

According to the given data we have the following:

sum in 4 years=$7,776

sum in 3 years=$6,480

Therefore, sum in 4 years-sum in 3 years=$7,776-$6,480=$1,296

Therefore, rate of interest=$1,296*100/$6,480*1

rate of interest=20%

To calculate the sum we would have to make the following calculation:

FV=PV(1+20%)∧3

$6,480=PV(1,20)∧3

PV=$3,750

Sum is $3,750

Answer:

the graph of g(x) is horizontally stretched by a factor of 3

Step-by-step explanation:

Answer:  length = 12

Step-by-step explanation:

Use Pythagorean Theorem: length² + height² = hypotenuse²

length = L

height = L - 7

hypotenuse = L + 1

        L² + (L - 7)² = (L + 1)²

L² + L² - 14L + 49 = L² + 2L + 1

    2L² - 14L + 49 = L² + 2L + 1

      L² - 14L + 49 = 2L + 1

      L² - 16L + 49 = 1

      L² - 16L + 48 = 0

      (L - 4)(L - 12) = 0

  L - 4 = 0     L - 12 = 0

    L = 4            L = 12

Input L = 4 and L = 12 to find the height:

Height = L - 7             height = L - 7

           = 4 - 7                         = 12 - 7

            =  -3                           = 5

             ↓

negative height is not valid

So, the only valid solution is L = 12

Answer:

the parabola opens down

Step-by-step explanation:

The quadratic equation is

ax^2 + bx + c

When a < 0 the parabola opens down

          a > 0 it opens up

since a  = -2 the parabola opens down

800x87979 es 70, 383, 200

Espero que esto te ayude

Answer:

Step-by-step explanation:

800*87979 = 70,383,200

Answer:

0.38

Step-by-step explanation:

The area under the probability density curve is equal to 1.

The width of the rectangle is 2, so the height of the rectangle must be ½.

The probability that X is between 0.68 and 1.44 is therefore:

P = ½ (1.44 − 0.68)

P = 0.38

Using the uniform distribution, it is found that there is a 0.38 = 38% probability that X is between 0.68 and 1.44.

-----------------------

Uniform probability distribution:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

In this problem:

The probability that X is between 0.68 and 1.44 is:

[tex]P(0.68 \leq X \leq 1.44) = \frac{1.44 - 0.68}{2 - 0} = 0.38[/tex]

0.38 = 38% probability that X is between 0.68 and 1.44.

A similar problem is given at https://brainly.com/question/13547683

Answer:

Option (D)

Step-by-step explanation:

The given graph represents a rational function having,

1). Vertical asymptote → x = 2

2). Horizontal asymptote → y = 0

Parent function representing the rational function will be in the form of,

F(x) = [tex]\frac{1}{x^{2} }[/tex]

Since, vertical asymptote of the function is x = 2, denominator of the function will be in the form of (x - 2)².

Since, horizontal asymptote of the function is y = 0, highest exponent term in the numerator will be 0.

Therefore, numerator of the fraction will be x⁰.

The rational function given in the graph will be,

F(x) = [tex]\frac{x^{0}}{(x-2)^2}[/tex]

F(x) = [tex]\frac{1}{(x-2)^2}[/tex]

Option (D) will be the answer.

Answer:

Option C is the answer.

Step-by-step explanation:

here, given that;

angle XYZ=82°

we know, according to the inscribed angle theorem,

angle XYZ=1/2 of arc XZ.

or, arc XZ = 2×82°

Therefore, the value of arc XYZ is 164°.

hope it helps..

Answer: 34.64 m

Step-by-step explanation:

Given: A boat is 60 m from the base of a lighthouse.

The angle of depression between the lighthouse and the boat is 37°.

By using trigonometric ratios :

[tex]\tan x=\dfrac{\text{Side opposite to }x}{\text{Side adjacent to }x}[/tex]

here x= 37°, side opposite to x = height of lighthouse (h) , side adjacent to x = 60 m

[tex]\tan 37^{\circ}=\dfrac{h}{60}\\\\\Rightarrow\ 0.57735=\dfrac{h}{60}\\\\\Rightarrow\ h= 60\times0.57735\approx34.64[/tex]

Hence, the lighthouse is 34.64 m tall.

Answer:

A. 9

Step-by-step explanation:

Well if you go to 190 on the y-axis and go all the way to the right you can see according to the line of best fit A. 9 should be the correct answer.

Thus,

A.9 is the correct answer.

Hope this helps :)

Answer:

A. 9

Step-by-step explanation:

A line of best fit is a line that goes through a scatter plot that will express the relationship between those points. So, if we look at 190 on the y-axis, we can approximate that on the line of best fit it would be closest to 9 on the x-axis.

Answer:

x = ln (5.2)

Step-by-step explanation:

e^x = 5.2

Take the natural log of each side

ln ( e^x) = ln( 5.2)

x = ln (5.2)

Answer:

x ≈ 1.91, if e refers to 2.718281828...

x = 5.2/e, if e is simply another variable

Step-by-step explanation:

We are given:

ex = 5.2

Now, if e is referring to the irrational value of e that is about 2.718281828..., then when we divide both sides by e to solve for x, we get:

ex = 5.2

x = 5.2 / 2.718281828... ≈ 1.91

However, if e is simply another varialbe, then we just have:

ex = 5.2

x = 5.2/e

~ an aesthetics lover

Answer:  9c²

Step-by-step explanation:

To find the Greatest Common Factor of 207c³ and 108c², first factor them down to their primes and see what they have in common.

                207c³                     108c²

                 ∧   ∧                        ∧  ∧

             9·23  c·c·c              9·12   c·c

            ∧                            ∧  ∧

           3·3                         3·3 3·4

                                                  ∧

                                                 2·2

207c³: 3·3·23  c·c·c

108c²:  2·2·3·3·3·4 c·c

GCF = 3·3 c·c

        = 9c²

The GCF of 207c^3 and 108c² is 9c²

Given the expressions [tex]207c^3 \ and \ 108c^2[/tex]

We are to find the GCF of both terms

First, we need to get the factors as shown::

207c³ = 9 * 23 * c² * c

108c² =  9 * 12 * c²

From the factors, we can see that 9 and c² are common to both terms:

The GCF of 207c^3 and 108c² is 9c²

Learn more here: https://brainly.com/question/21612147

Answer:

36 cups of Chex total.

Step-by-step explanation:

Well, he will obviously be using 12 cups of pretzels, so let's set that aside. For every cup of pretzels, there are 3 cups of chex. So, multiply 3x12. That will give you how much chex you will need.

Answer:

0

Step-by-step explanation:

Hope this helps

They're making me write something here so I can post the answer:

p(p + 12)

Answer:

x = 30

Step-by-step explanation:

1/2(x+6) = 18

Expand brackets or use distributive law.

1/2(x) + 1/2(6) = 18

1/2x + 6/2 = 18

1/2x + 3 = 18

Subtract 3 on both sides.

1/2x + 3 - 3 = 18 - 3

1/2x = 15

Multiply both sides by 2.

(2)1/2x = (2)15

x = 30

Answer:

30

Step-by-step explanation:

Answer:

Hey there!

Circumference of a circle=0.5[tex]\pi[/tex]r

3.14=0.5[tex]\pi[/tex]r

1=0.5r

r=2

Hope this helps :)

Answer:

1/2 meter

Step-by-step explanation:

The circumference of a circle can be found using the following formula:

c= pi* 2r

We know that the circumference of the circle is 3.14 meters. Therefore, we can substitute 3.14 in for c.

3.14= pi* 2r

We want to find out what r, or the radius is. To do this, we must get r by itself.

First, divide both sides of the equation by pi, or 3.14. We divide because 2r is being multiplied by pi, and division is the inverse of multiplication.

3.14= pi* 2r

3.14/3.14=3.14* 2r/3.14

3.14/3.14=2r

1=2r

Next, divide both sides by 2. We divide because 2 and r are being multiplied, and the inverse of division is multiplication.

1/2=2r/2

1/2=r

0.5=r

The radius of the circle is 1/2 or 0.5 meters.

Answer:

Kenyan French Roast coffee x=6

Sumatran coffee y=14

Step-by-step explanation:

x+y=20     blend coffee

8x+7y=7.3(20)     selling price

x+y=20 ⇒ x=20-y

substitute in the equation:

8x+7y=7.3(20)

8(20-y)+7y=7.3(20) for 20 pound blend

160-8y+7y=146

-y=146-160

y=14 pond

x+y=20

x=20-14=6

check : 14*7+6(8)=146/7.3=20 pound

The price of the  Kenyan French Roast coffee is $6 and the price of Sumatran coffee is $14.

Two equations can be derived from the question:

8x + 7y = 20(7.3)

8x + 7y = 146 equation 1

x + y = 20 equation 2

Where: x

x = Kenyan French Roast coffee

y = Sumatran coffee.

To determine the value of y, multiply equation 2 by 8

8x + 8y = 160 equation 3

Subtract equation 1 from 3

y = 14

Substitute for y in equation 2

x + 14 = 20

x = 20 - 14

x = 6

To learn more about simultaneous equations, please check: brainly.com/question/23589883

Answer:

-7 > x

Step-by-step explanation:

3(x-4)>5x+2

Distribute

3x-12>5x+2

Subtract 3x from each side

3x-12-3x>5x-3x+2

-12 > 2x+2

Subtract 2 from each side

-12-2>2x+2-2

-14 > 2x

Divide by 2

-14/2 > 2x/2

-7 > x

Answer:

[tex]\boxed{x<-7}[/tex]

Step-by-step explanation:

3(x-4)>5x+2

Expand brackets.

3x - 12 > 5x+2

Subtract 3x and 2 on both sides.

-12 - 2 > 5x - 3x

-14 > 2x

Divide both sides by 2.

-7 > x

Switch sides.

x < -7

Answer:

A sample size of 2080 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

Based on previous evidence, you believe the population proportion is approximately 60%.

This means that [tex]\pi = 0.6[/tex]

How large of a sample size is required?

We need a sample of n.

n is found when [tex]M = 0.025[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.025 = 2.327\sqrt{\frac{0.6*0.4}{n}}[/tex]

[tex]0.025\sqrt{n} = 2.327\sqrt{0.6*0.4}[/tex]

[tex]\sqrt{n} = \frac{2.327\sqrt{0.6*0.4}}{0.025}[/tex]

[tex](\sqrt{n})^{2} = (\frac{2.327\sqrt{0.6*0.4}}{0.025})^{2}[/tex]

[tex]n = 2079.3[/tex]

Rounding up

A sample size of 2080 is needed.

Answer:

5%

Step-by-step explanation:

Well let’s make a fraction 2/40.

So we have to simplify it to 1/20.

And we do 1 / 20.

So 1 / 20 is .05.

To make this a percent we put the seminal place 2 places to the right.

So the percent is 5%.

Answer:

AB = 2 sqrt(35)   (or 11.83 to two decimal places)

Step-by-step explanation:

Refer to diagram.

ABO'P is a rectangle (all angles 90)

=>

PO'  =  AB

AB = PO' = sqrt(12^2-2^2) = sqrt(144-4) = sqrt(140) = 2sqrt(35)

using Pythagoras theorem.

Answer: 53.1ft

Step-by-step explanation:

We can draw a triangle rectangle.

Where the distance between the man and the tree is one cathetus, (the vertex is on the man's eyes)

The tree itself is the other cathetus, and the line that connects the man's eyes and the tip of the tree is the hypotenuse.

We know that:

The angle at the vertex of the man's eyes is 67°

And the adjacent cathetus, the distance between the man and the tree, is 20ft.

Then using the relation:

Tan(A) = (opposite cathetus)/(adjacent cathetus)

We can find the height of the treee:

Tan(67°) = X/20ft

Tan(67°)*20ft = X = 47.1ft

But remember that this is measured from the mans eye's, and the man's eyes are 6ft away from the ground.

Then the height of the tree is 47.1ft + 6ft = 53.1ft

Answer:

x = 39

Step-by-step explanation:

The two angles will be equal when the lines are parallel

4x-24 = 3x+15

Subtract 3x from each side

4x-24-3x = 3x+15-3x

x-24 = 15

Add 24 to each side

x-24+24 = 15+24

x = 39

Answer:

x=39

Step-by-step explanation:

Since these are alternate interior angles they should be set equal to each other so

4x-24=3x+15

Now simplify to get...

x=39

Answer:

In the right triangle, either leg could be considered as the heigh

Step-by-step explanation:

In the right triangle, if you have the length of  the two legs, the triangle is already defined, the two legs are the base and the height (no matters the way you choose the order, either AB could be defined as the base or as the height, and if you decide to call AB the base then you necessarily need to take AC as the height.

As can be seen, the area of the triangle and its hypothenuse will be the same.

Answer: Helen is 8 years old.

Step-by-step explanation:

Given: Helen’s age is a multiple of 4.

i.e. Choices for Helen’s age = 4, 8 , 16, ...

Helen’s older brother is now 19.

That means Helen's age < 19

Choices for Helen's age left = 4, 8, 16

Next year it’ll be a multiple of 3.

That is only possible if Helen's age = 8

Because next year her age = 8+1 = 9 years which is divisible by 3.

Hence, Helen is 8 years old.

Answer:

[tex]\boxed{7^{\frac{3}{2} } \times 4}[/tex]

Step-by-step explanation:

[tex]4 (\sqrt{7} )^3[/tex]

Square root can be written as a power.

[tex]4(7^{\frac{1}{2} })^3[/tex]

Multiply the exponents.

[tex]4(7^{\frac{3}{2} })[/tex]

Answer:

A (7^3/4)

Step-by-step explanation:

ed 2020

Answer:

His overall final score is a 73, which means that that student recieved a letter grade of a C.

Step-by-step explanation:

First, we are finding the mean of the scores to average everything out.

So, start by adding up all the scores given: 60+80+75+78=293.

Then, divide that sum by the number of scores given: 293/5=73.25, or rounded to a whole number is a 73.

In most schools, a 73 is a C, so this students letter grade for this course is a C.

Answer:

Step-by-step explanation:

Given the equation y=-2x+1 and given another equation y=mx+b in order for us to have no solution we must guarantee that both lines do not intersect. Recall that m is the slope of the second equation and b the y-intercept. To guarantee that both lines don't intersect, they must be parallel. To have this result, we must have that they have the same slope but different y intercept. That is take m = -2 and b any value different to +1. For example, the b = 6. So

y = -2x+6 = -2(x-3) is another equation that gives no solution to the system.

Answer:

B. y = -1/2 (4x + 2)

Step-by-step explanation:

hope this is the answer that you are looking for :)