The sum of the squares of two consecutive positive numbers is 1,105. Find the numbers.

The probability that the sample mean is less than 200 pounds is 33% or 0.33

Given that,

The average annual meat consumption in the United States was 218.4 pounds, with a standard deviation of 42 pounds, and was normally distributed. A random sample of 30 individuals was chosen.

Mean  (μ) = 218.4

Standard deviation (σ) =42        

Probability = P(X< 200) = P[(X-μ ) / σ < (200-218.4) /42 ]

= P(z <-0.44 )

Using z table                                            

=0.3300

Probability=0.3300                                                        

Therefore, 33% or 0.33 of the time, the sample mean will weigh less than 200 pounds.

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Answer:

  (c)  Neither

Step-by-step explanation:

You want to know the kind of sequence that as terms 2, 7, 14, 23, 34, ....

The first differences of terms of this sequence are ...

  7 -2 = 5

  14 -7 = 7

  23 -14 = 9

  34 -23 = 11

These difference are not constant, so the sequence is not arithmetic.

These differences do not have a common ratio, so the sequence is not geometric.

However, these differences do have a common difference:

  7 -5 = 2

  9 -7 = 2

  11 -9 = 2

The fact that second differences are constant means this is a polynomial sequence of second degree. It is a quadratic sequence, neither arithmetic nor geometric.

__

Additional comment

The sequence is described by the quadratic equation ...

  a(n) = n² +2n -1

Answer:

The value of the equation will be 14

Answer: 120

explanation: We already have our first value 36 and the second value 30. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 136 = 30% × Y

STEP 236 =

30

100

× Y

Multiplying both sides by 100 and dividing both sides of the equation by 30 we will arrive at:

STEP 3Y = 36 ×

100

30

STEP 4Y = 36 × 100 ÷ 30

STEP 5Y = 120

Finally, we have found the value of Y which is 120 and that is our answer.

You can easily calculate 36 is 30 percent of what number by using any regular calculator, simply enter 36 × 100 ÷ 30 and you will get your answer which is 120

It's because this requires two different processes or pieces, the absolute value function is an example of a piecewise function. A piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain.

Answer:

3

Step-by-step explanation:

Answer:

56%

Step-by-step explanation:

112/200 as a percentage

112/200 = 0.56

0.56 as a percentage:

0.56 * 100 = 56%

Answer::

To do percentages with fractions,

divide the numerator by denominator to get a decimal,

so for example, your question, 112/200

112/200 is 0.56 decimal, and then to make it percent,

we multiply by 100,

how does that work?

you move two places to the right because 100 has two zeros

so 0.56 would be 56,

therefore the percent of 112/200 would be 56%

Have a good day! <3

=> Translate figure A down 4 units and left 6 units, and dilate it by a scale factor of 3.

=>  Reflect figure A across the y-axis, and dilate it by a scale factor of 4.

Given,

In the question:

Figure A is a polygon that has been graphed on a coordinate grid.

To select the option:

Which of the following transformations will result in a similar image to figure A?

Now, According to the question;

The correct options are:

=> Translate figure A down 4 units and left 6 units, and dilate it by a scale factor of 3.

=>  Reflect figure A across the y-axis, and dilate it by a scale factor of 4.

{If the two figures are similar, then their angles are not changed. The ratio of length are the same.}

Hence, => Translate figure A down 4 units and left 6 units, and dilate it by a scale factor of 3.

=>  Reflect figure A across the y-axis, and dilate it by a scale factor of 4.

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The probability that at least one of the shirts you draw will be pink 46/51.

What is probability?

The likelihood of an event happening is determined by probability. There are many instances in real life where we may need to make predictions about how something will turn out combination . The outcome of an event may be known to us or unknown to us. When this happens, we say that there is a chance that the event will happen or not. In general, probability has many wonderful uses in games, in business to make forecasts based on likelihood, and in this emerging branch of artificial intelligence. By simply dividing the favourable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. The likelihood of an event occurring might range from 0 to 1.

Here the number of pink shirts=8

Number of green shirts=6

Number of red shirts=4

Here if you draw 2 shirts random then,

P(neither the shirt is blue) = [tex]\frac{6}{18} *\frac{5}{17}[/tex] = [tex]\frac{5}{51}[/tex]

Now the at least one of the shirt is pink then,

=> P( at least one shirt is pink)= 1-[tex]\frac{5}{51}[/tex] = [tex]\frac{51-5}{51}[/tex] = [tex]\frac{46}{51}[/tex]

Hence the probability that at least one of the shirts you draw will be pink 46/51.

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Answer: The answer is -2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-4 + (-1) - (-3)      Distribute the + and - since they are outside the parenthesis

-4 - 1 + 3            Subtract 1 to -4

-5 +3                 Add 3 to -5

-2

Answer:

B (-2,-20)

Step-by-Step Explanation:

f(x)=3x^2 + 12x - 8

a=3 b=12

x=-12/2*3

x=-2

f(x)=3(-2)^2 + 12x - 8 , x=-2

f(-2) = -20

solution (-2,-20)

Answer:

Step-by-step explanation:

2427

1. the equation that exemplifies the additive identity property is: C. 33 + 0 = 33.

2. The equation that exemplifies the multiplicative identity property is: A. 9.5 × 1 = 9.5.

The additive identity property states that the sum of adding zero to any number will give you the same number itself.

For example, 4 + 0 = 0.

The multiplicative identity property states that a number multiplied by 1 will always give you a product that is the same number itself.

For example, 4 × 1 = 4.

1. The equation, 33 + 0 = 33, shows the additive identity property, because the sum is the same number itself after 0 is added to it.

2. The equation, 9.5 × 1 = 9.5, also shows the multiplicative identity property.

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Step-by-step explanation:

E=29

G = 180-29-107= 44

F = 180-29-29 = 122

H = 180-29-29 = 122

S = 180-107 = 73

M = 107

C = 73

D = 107

T = 73

B = 107

N = 73

K = 44

A = 360-44-44-107 = 165

O = 180-44 = 136

P = 44

J= 136

The number of people travelled by train from the station on tuesday is 357.

Let us assume the number of people who travelled by train from the station on tuesday be x. Using the concept of ratio and proportion to solve and calculate x.

Forming the ratio-

20 : 17 = 420 : x

Solving the ratio and proportion for the value of x

x = (420 × 17) ÷ 20

Performing multiplication in numerator

x = 7140 ÷ 20

Performing division on Right Hand Side of the equation

x = 357

Therefore, based on the information, 357 people used to travel.

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Veremos que originalmente tenias $300, y el valor de la compra fue de $90

Definamos X como la cantidad original de dinero. Ahora trabajaremos con porcentajes.

Sabemos que tu gastaste 30% de esto, entonces lo que te sobra es:

0.7*X

Sabemso qe si hubieras gastado el 40% (en este caso te sobra 0.6*X), te sobrarian 30 dolares menos, entonces podemos escribir:

0.7*X = 0.6*X + $30

Resolviendo para X

0.7*X - 0.6*X = $30

0.1*X = $30

X = $30/0.1 = $300

Originalmente tenias $300 dolares, y gastaste:

$300*0.3 = $90

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The correct table is :

x   g(x)

1   -10

2   -12

3   -14

Given, f(x) = x+4

and g(x) = -2.f(x)

we check for x = 1

f(x) = 1+4

= 5

now g(x) = -2.f(x)

= -2(5)

= -10

for x=2

f(x) = 2+4

= 6

now g(x) = -2.f(x)

= -2(6)

= -12

for x=3

f(x) = 3+4

= 7

now g(x) = -2.f(x)

= -2(7)

= -14

Hence we get the required values.

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Answer:

C

Step-by-step explanation:

see the other dudes answer im jus making it easier to see and select for kids who have to hide the fact that they're cheating on their FLVS

The percentage of women that answered that they don't even like soccer is 85%

From the information, in the a survey of 500 women, 75 answered that they like soccer. Those that don't like soccer will be the difference between the values. This will be:

= 500 - 75

= 425

Therefore, the percentage of women that answered that they don't even like soccer will be:

= Those that don't like soccer / Total number × 100

= 425/500 × 100

= 85%

The percentage is 85%.

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Complete question

In a survey of 500 women, 75 answered that they like soccer. What percentage of women answered that they don't even like soccer?

Answer:The equations are 5t + e = 725 and 3t + e = 505

Step-by-step explanation:Subtract equation (2) from equation (1) and you arrive at;

2t = 220

Divide both sides of the equation by 2

t = 110

Having calculated the value of t, substitute for the value of t into equation (1)

5t + e = 725

5(110) + e = 725

550 + e = 725

Subtract 550 from both sides of the equation

e = 175

The above calculations shows that the calories burned on each gym equipment are;

Treadmill = 110 per hour

Elliptical = 175 per hour

The best estimation for the range of the oldest 25% is 20, so the correct option is the last one.

The graph is separated in four parts, each part represents a 25% of the population.

The oldest 25% would be the last segment (the line in the right of the graph).

The range is defined as the difference between the largest value and the smallest value.

The segment starts at:

a = 35

And ends at:

b = 55

Then the range is something like:

55 - 35 = 20

The correct option is the last one.

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The roots for the given quadratic equation 2x² - 9 = 3x is {3, -1.5}.

What is a quadratic equation?

The Quadratic equations are second-order polynomial equations such as ax² + bx +c = 0 for x, where a ≠ 0.

It has at least one solution that could be real or complex.

The given equation is 2x² - 9 = 3x.

Now expressing in the form of ax² + bx + c = 0, we get

                        2x² - 3x - 9 = 0,

a = 2, b = -3, c = -9, Now solving the above equation, we get

                       2x² - 6x + 3x - 9 =0

                       2x(x - 3) + 3(x - 3) = 0

                       (x - 3)(2x + 3) = 0

               x - 3 = 0       (or)        2x + 3 = 0

                x = 3            (or)         x = -1.5

Hence, the roots of the equation are {3, -1.5}.

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For some n or x value, neither equation can equal 107. f(x) = 2x + 7 or

t(n) = 2n + 7.

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Answer:

The answer would be -4/5

Step-by-step explanation:

When you add a negative to a negative, you first take out the plus sign and rewrite it as: -2/5 - 2/5.

Now you just simply subtract 2/5 from -2/5 to get -4/5.

Hope this helps.

Please give brainliest

The simple interest using I = prt if Oliver borrowed $1,500 to purchase a riding lawn mowerat the rate of f 12% for 6 monthsis

The concept that will be used is the concpt of simple interest and thei can be calculates using the simple interst formular which is

I = [(prt)/100]

where p = principal =  $1,500

     I = intereste rate

     t=time

Then this can be expressed as

I= (prt)/100

I =  ($1,500* 6/12 * 12 )/100

=  $90

In conclusion the simple interest is now  $90 which is the second option that is given.

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Answer: 1 11/20

hope this helps :)

Answer:

56cm²

Step-by-step explanation:

Because this is an irregular shape, you have to split it into two shapes and find the area of each one. Then you can add those two areas together to find the total area of the figure. There are many ways you can split it but the way I did it left me with the equation (12·3)+(4·5). Then all you have to do is multiply and add which will give you a total of 56cm².

The value of p that is statistically significant at a 5% level of significance refers to a p-value of 0.05 or less.

The fixed probability of incorrectly eliminating the null hypothesis when it is actually true is what is meant by the term "level of significance." The probability of type I error is defined as the degree of significance, which is decided by the researcher using the results of the error. The statistical significance is measured by the level of significance. It specifies whether or not the null hypothesis is thought to be true. The null hypothesis is anticipated to be shown as untrue or rejected if the result is statistically significant.

The symbol indicates the degree of significance (alpha). Therefore, the following definition applies to the level of significance:

Level of Significance = p (type I error) =

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The joint relative frequency is 23%. So option (1) is correct.

Joint relative frequency is defined as the ratio of a frequency that is not in the total row or column to the total number of values or observations. The marginal frequency in a two-way frequency table is the entry in the "total" for the column and the "total" for the row.

Given data:

                         Traditional     Online       Row totals

Computer:             28                62               90

Mobile device:       46                64              110

Column totals:       74               126             200

The joint relative frequency can be found by the formula:

= (Number of students using a mobile device in traditional class / Total Number of students) x 100%

Number of students using mobile devices in traditional class = 46

Total number of students = 200

= (46 / 200) x 100%

= 0.23 x 100%

= 23 %

Therefore the joint relative frequency of students in traditional classes using a mobile device is 23%.

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y = 4/3 ( x + 3 )² + 7 is equation of the parabola .

In math, what is a parabola?

The h and k of the above vertex form are the coordinates of the vertex. So our function has the following form

  y = a ( x- h )²  + k

  y = a ( x - ( - 3 ))² + 7

  8 = a ( -4 - ( -3 ) + 7

  8 = a (  6 )

   a = 8/6

    a =  4/3

the a value we can write the final vertex form

  y =  a ( x - ( - 3 ))² + 7

y = 4/3 ( x + 3 )² + 7

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A line parallel to the line 4x + 7y = 49 - 2x + 4y must have a slope of - 2.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given a line that is 4x + 7y = 49 - 2x + 4y.

7y - 4y = - 2x - 4x + 49.

3y = - 6x + 49.

y = - 2x + 49/3.

Now, lines parallel to each other have the same slope.

Now if we simply the given options none of the lines have a slope of - 2 so none of the given lines are parallel to the line 4x + 7y = 49 - 2x + 4y.

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