A bed frame normally weighs 60 pounds. A new,
stronger material increases the durability of the
frame but makes it weigh 30% more. How many
pounds does the new frame weigh?
F. 63
G. 66
H. 78
J. 90
K. 102

The probability of winning third prize in the lottery game is 0.0011 or about 0.11%.

In the given lottery game, the player picks 6 numbers from 1 to 48.

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The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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Answer:

35%

Step-by-step explanation:

Hope I can help!

Answer:

6400.00%

Step-by-step explanation:

Answer:

105 and 128

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=cos(x)+2

What is the amplitude of the function?

What is the period of the function?

Answer:

2 5/8

Step-by-step explanation:

10 5/8 - 8

Answer:

a: is 36

Step-by-step explanation:

The correct answer in the number line is 2 and 0.888 .

A picture of numbers on a straight line is referred to as a number line in mathematics. Across the length of a number line, the numbers are arranged in a sequential manner at equal intervals. It is frequently seen horizontally and can extend indefinitely in any direction.

The addition, subtraction, division, and times table problems can all be illustrated with a number line. You can better comprehend the idea of negative numbers by using the number line.

The addition, subtraction, division, and times table problems can all be illustrated with a number line. You can better comprehend the idea of negative numbers by using the number line.

1. 9/2 in 2

2.4/9 by 2 is = 4/4.5 = 0.888 .

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The value of the function F(3) will be 1/125. It is obtained by putting the value 3 in the place of x.

A connection between independent variables and the dependent variable is defined by the function. Functions help to represent graphs and equations.

A function is represented by the two variables one is dependent and another one is an independent function. The relation between them is shown as y if dependent and x is the independent variable.

F(x)=(1/5)ˣ

F(3)=(1/5)³

F(3)=1/125

Hence, the value of the function F(3) will be 1/125.

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Answer:

Step-by-step explanation:

Well, since the length of a month can vary in the number of days, this answer can also vary.

For example, February is only 28 days long, while December is 31 days long.

That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back   July 19th of July 20th.

I hope this helps!

Answer:

C -1

Step-by-step explanation:

in such a case the simplest way is to simply try the 4 numbers and see :

x² - 3x - 4 = |x + 3| - 2

x² - 3x - 2 = |x + 3|

A x = -4

(-4)² - 3×-4 - 2 = |-4 + 3|

16 + 12 - 2 = 1

26 = 1

wrong.

B x = -3

(-3)² - 3×-3 - 2 = |-3 + 3|

9 + 9 - 2 = 0

16 = 0

wrong.

C x = -1

(-1)² - 3×-1 - 2 = |-1 + 3|

1 + 3 - 2 = 2

2 = 2

correct.

D x = 4

4² - 3×4 - 2 = |4 + 3|

16 - 12 - 2 = 7

2 = 7

wrong.

Answer:

∠ AEB = 114°

Step-by-step explanation:

the chord- chord angle AEB is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , that is

∠ AEB = \(\frac{1}{2}\) (AB + CD) = \(\frac{1}{2}\) (140 + 88)° = \(\frac{1}{2}\) × 228° = 114°

Step-by-step explanation:

(3•2)+(3•2)+(6.5•3)+(6.5•3)+(2•6.5)+(2•6.5)

=77

Answer:

12 per one bag

Step-by-step explanation:

60lb bag divided by the amount it costs which is $5.

Which equals $12.

Answer:

$1/12lb

Step-by-step explanation:

Divide 60 by 5.

Answer:

50m

Step-by-step explanation:

3+3+5+5+17+17=50

(we don't need any other data)

The slant height of the cone is 12.6 units

What are solids ?

A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.

h= 12

diameter = d = 8

so, radius, r = d/2 = 8/2 = 4

Formula for slant height , l is:

l = √(h² + r²) = √(12² + 4² )

 = √(144 + 16) = √160 = 12.649 ≈ 12.6 units

The slant height of the cone is 12.6 units

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In one hour, 1/6 of the tank will be filled and 1/10 of the tank will be emptied.  As a net result,

    \(\begin{aligned}\dfrac{1}{6} - \dfrac{1}{10} &= \dfrac{1}{6}\cdot\bold{\dfrac{5}{5}} - \dfrac{1}{10}\cdot\bold{\dfrac{3}{3}}\\[0.5em]&= \dfrac{5}{30} - \dfrac{3}{30}\\[0.5em]& = \dfrac{2}{30}\\[0.5em]& = \dfrac{1}{15}\end{aligned}\)

we see that 1/15 of the tank is filled per hour when both valves are open.

It will take 15 hours to fill the tank.

Answer:

a. 0.04

b. 0.9772

Step-by-step explanation:

Please check attachment for complete solution and step by step explanation

The area of the trapezoid below is 144 centimetres squared.

A trapezoid is a quadrilateral that has sum of interior angles as 360 degrees. The two base of a trapezoid are parallel to each other.

Opposite angles are supplementary in a trapezoid.

Therefore, let's find the area of the trapezoid as follows:

area of a trapezoid = 1 / 2 (a + b)h

where

Hence,

a = 9.5 cm

b = 14.5 cm

h = 12 cm

Therefore,

area of the trapezoid = 1 / 2 (9.5 + 14.5)12

area of the trapezoid = 1 / 2 (24)12

area of the trapezoid = 24 × 6

Therefore,

area of the trapezoid = 144 cm²

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Answer:

Westbound = x;

Eastbourne = x-20;

So they will have the common rate: 360/2 = 180;

x+x-20 = 180

2x = 200;

x = 100;

So Eastbourne will be 100-20 = 80 miles per an hour;

Answer:

22 AUD × (1 USD)/(1.2 AUD)

Step-by-step explanation:

1.2 AUD = 1 USD

Divide both sides by 1.2 AUD.

(1.2 AUD)/(1.2 AUD) = (1 USD)/(1.2 AUD)

(1 USD)/(1.2 AUD) = 1

The conversion factor from AUD to USD is (1 USD)/(1.2 AUD)

Answer: 22 AUD × (1 USD)/(1.2 AUD)

a. 20 is not a domain of this function (as it's only from 1-15)

b. 15 (if they sell every cups)

c. amount of money earned.

Step-by-step explanation:

this is the answer key for that question and etc...

The probability that 29 cars chosen at random will have a mean load weight x of less than 83.5 tons of coal is 0.99994.

Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.

Given that, mean μ = 84 tons and standard deviation σ = 0.7 ton.

Here, sample size n=29 cars

We know that, Z=(x-μ)/σ

The probability that 29 cars chosen at random will have a mean load weight less than 83.5 tons of coal is obtained as:

(P<83.5)=[z<(83.5-84)/(0.7/√29)]

=[z -0.5/0.13]

=[z< -3.846]

= -0.00006

= 1-0.00006

= 0.99994

Therefore, the probability is 0.99994.

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the null hypothesis is rejected and the two population variances are not equal.

Rejection Region:TS < -1.878 or TS > 1.878

1. Calculate the test statistic, TS.

TS = (s1^2) / (s2^2)

TS = (2.5^2) / (5.2^2)

TS = 0.41

2. Determine the rejection region using the 10% significance level.

Rejection Region: TS < -1.878 or TS > 1.878

The test statistic used to compare the variability of the wind speeds at two proposed sites for the new wind-based power plant is the F-test. The F-test is used to determine if the two population variances are equal. To calculate the test statistic, the standard deviation for each sample is squared and divided. For this example, the test statistic is 0.41. To determine the rejection region at the 10% significance level, the critical value must be calculated. The critical value is 1.878, so the rejection region is TS < -1.878 or TS > 1.878. If the test statistic falls outside of the rejection region, then the null hypothesis is rejected and the two population variances are not equal.

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