I need your help thansk for trying!

The probability that all Kathy's uniforms have odd numbers would be = 1/2.

To calculate the probability of having only odd numbers the formula that should be used would be given below as follows:

Probability = possible outcome/sample space

Where possible outcome = all odd numbers between 0-99 = 50

The sample space = 100

The probability = 50/100 = 1/2

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The quality which a taylor polynomial have that the tangent line does not necessarily have is that Taylor polynomial has a far better approximation of f(x) near x = a than is the tangent line

Taylor polynomial function simply refers to an infinite sum of terms that are expressed in terms of the function's derivatives at a single point.

So therefore, the quality which a taylor polynomial have that the tangent line does not necessarily have is that Taylor polynomial has a far better approximation of f(x) near x = a than is the tangent line

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The ordered pairs in f(x)=x^2-2x+3 and f(x)=-2x+19 are (√21, 24 - 2√21) and (-√21, 24 + 2√21)

To find the ordered pairs of the two functions, we need to solve the system of equations:

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

f(x) = -2x + 19

We can set the two expressions for f(x) equal to each other:

x^2 - 2x + 3 = -2x + 19

Simplifying and rearranging, we get:

x^2 = 21

Taking the square root of both sides, we get:

x = ± √21

Therefore, there are two ordered pairs that satisfy both equations:

(√21, f(√21)) and (-√21, f(-√21))

To find the values of f(√21) and f(-√21), we can substitute the values of x into either equation. Let's use the first equation:

f(√21) = (√21)^2 - 2(√21) + 3 = 21 - 2√21 + 3 = 24 - 2√21

f(-√21) = (-√21)^2 - 2(-√21) + 3 = 21 + 2√21 + 3 = 24 + 2√21

Therefore, the two ordered pairs are:

(√21, 24 - 2√21) and (-√21, 24 + 2√21)

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Respuesta:

0,9 veces

Explicación paso a paso:

Deje que la cantidad en la cuenta de Martha se denote como x, que es la cantidad en la cuenta = x

Porcentaje retirado para transporte = 10%

El porcentaje total siempre será del 100%

Por lo tanto, si se retira el 10%, entonces; el porcentaje restante es:

Porcentaje total: porcentaje gastado en transporte

(100% - 10%) * monto en cuenta

90% * x = 0,9 * x = 0,9x

Saldo de cuenta nueva = 0.9x

There are 37 seats in each row in a rectangular auditorium seated 1110 people, where the number of seats in each row exceeds the number of rows by 7.

Given that the auditorium is rectangular and seats 1110 people. Let the number of rows in the auditorium be x and the number of seats in each row be y. It is given that the number of seats in each row exceeds the number of rows by 7. That is, y = x + 7.

We know that the number of seats in the auditorium is equal to the product of the number of rows and the number of seats in each row.
Therefore, xy = 1110

Substituting y = x + 7 in the above equation, we get
x(x + 7) = 1110x² + 7x - 1110 = 0

Factoring the above equation, we get(x + 37)(x - 30) = 0
Since the number of rows cannot be negative, we take x = 30.
Substituting x = 30 in the equation y = x + 7, we get
y = 30 + 7 = 37

Let us prove the solution obtained is correct.
We know that the number of seats in the auditorium is equal to the product of the number of rows and the number of seats in each row. Therefore, xy = 1110
Substituting x = 30 and y = 37 in the above equation, we get30 × 37 = 1110
Hence, the solution is verified.

Therefore, the number of seats in each row is 37.

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Answer:

y = 1/2x + 2

Comparison: The black and blue line haver the same y-intercept, however they have different slopes. The slope of the black line is 2/3 and the slope of the blue line is 1/2.

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Answer:

The sum of 25 and 16 is 41.

Step-by-step explanation:

The sum of two numbers, 25 and 16, you can break apart the addends and add them separately to simplify the process. Here's how you can do it:

Break apart the numbers into their place values: For 25, you have 20 and 5, and for 16, you have 10 and 6. This step helps you work with the place values individually.

Add the tens place: In this case, you have 20 (from 25) and 10 (from 16). Adding them gives you 30.

Add the ones place: Now you add the ones place, which is 5 (from 25) and 6 (from 16). Adding them gives you 11.

Combine the sum of the tens place and the sum of the ones place: Take the sum of 30 (from step 2) and 11 (from step 3). Adding them together gives you 41.

So, the sun is 41.

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The survey reports that 80%, percent actively observed mammals = 0.4246

Given that,

The 2011 national survey of fishing, hunting, and wildlife-associated recreation, there were over 71 million wildlife watchers in the us.

The survey reports that 80%, percent actively.

A simple random sample of only 500 wildlife watchers.

Following are the solution to the given question:

By using the approximation of normal for the proportions so, the values:  

P ( p⁻ < p ) = P ( Z < ( p⁻ - p ) / \(\sqrt{\frac{p(1-p)}{n} }\)

So,

P ( 0.79 < p⁻ < 0.81 ) = P ( p⁻ < 0.81 ) - P ( p⁻ < 0.79 )

= P ( Z < (0.81-0.80) / \(\sqrt{\frac{0.80(1-0.80)}{500} }\) ) - P ( Z < (0.79-0.80) / \(\sqrt{\frac{0.80(1-0.80)}{500} }\) )

=  P ( Z < 0.56 ) - P ( Z < -0.56 )

= 0.7123 - 0.2877 (using the Z table )

P ( 0.79 < p⁻ < 0.81 ) = 0.4246

Therefore,

The survey reports that 80%, percent actively observed mammals = 0.4246

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Answer: 5.22kg

Step-by-step explanation:

From the question, a farmer sells 8.7 kilograms of pears and apples at the market. Of the pears and apples sold, 2/5 of this weight is pears, and the rest is apples. To calculate the kilograms of apple sold goes thus:

Total kilograms sold = 8.7kg

Fraction of pears weight = 2/5

Pears kilograms sold = 2/5 × 8.7

= 0.4 × 8.7

= 3.48kg

Since the kilograms of pears sold is , 3.48kg, to get the kilograms of apple sold, we subtract 3.48kg from 8.7kg. This will be:

= 8.7kg - 3.48kg

= 5.22kg

Considering the definition of prime numbers, the sum of the first 11 prime numbers is 129.

Prime numbers are those that are only divisible (when divided by another gives an integer) between themselves and 1. That is, prime numbers are those numbers, greater than 1, that only admit themselves and the number as divisors. number 1.

The first 11 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and 31.

So their sum is:

sum= 2 +3 +5 +7 +11 +13 +17 +19 +23 +29

sum= 129

Finally, their sum is 129.

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Answer:

b) 0.57

c) 0.74

Step-by-step explanation:

part a:

frequency graph is attached with this answer (in png format).

part b:

let A be the event an entry is picked at random and the entry is a poem that has not been shortlisted.

P(A) = \(\dfrac{\text{number of poems not shortlisted}}{\text{total number of entries}}\)

P(A) = \(\dfrac{570}{1000}\) (see the frequency graph)

P(A) = 0.57

part c:

let B be the event a story is picked at random and the story has not been shortlisted.

P(B) = \(\dfrac{\text{number of stories not shortlisted}}{\text{total number of stories}}\)

P(B) = \(\dfrac{185}{250}\) (see the frequency graph)

P(B) = 0.74

Hopefully this answer helped you!!

Answer:

Step-by-step explanation:

First, organize the numbers; 1,1,1,2,2,3,4,5,5,6. The median is the middle number, in this case, 2 and 3 are in the middle. You'd add 2+3 which equals 5, then divide by 2 to get 2.5. The median is 2.5, to find the mode you need to see how many times one number appears. The mode is 1, the range is the largest number minus the smallest number. The range is 5, to find the mean you add all numbers up, then divide by how many numbers there are. All the numbers added up are 30, now divide that by 10 to get 3. The mean is 3. The standard deviation is 1.7 x 6.5 = 20.8

I'm only an algebra student so I may not be entirely correct.

Answer: Ok where is the rest of the question?

Step-by-step explanation:

Answer:

Step-by-step explanation:

8x^2 - 2x^2 - 3x + 8x  + 1/3 - 3/5

6x^2 + 5x + 5/15 - 9/15

6x^2 + 5x - 4/15

the solution is the third one C

The decimal positional number system is the one that is most frequently used.

The consistent representation of numbers using digits and other symbols is known as a number system.

Some key features of number system are-

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Answer:

No

Step-by-step explanation:

Each separate line could be part of a different plain.

Answer:

If two distinct planes intersect, then their intersection is a line. Through any two points, there is exactly one line. If two points lie in a plane, then the entire line containing those points lies in the plane.

Step-by-step explanation:

True, If the zero vector is a solution of the system , then the system is homogeneous.

A system of linear equations is considered homogeneous if the zero vector (i.e., the vector with all components equal to 0) is a solution. This means that the system of equations only has the trivial solution of all variables equal to zero, but no non-trivial solutions.

A homogeneous system of linear equations is a system where all the equations have the same form and all the coefficients are proportional to each other. This means that if one equation is multiplied by a constant, the same constant must be multiplied by all the other equations in the system to maintain the homogeneous property.

The zero vector is a solution of a homogeneous system because if all the variables are equal to zero, all the coefficients in the equations are also equal to zero and the equations are satisfied. This is why the presence of the zero vector as a solution is a defining characteristic of homogeneous systems.

In contrast, a non-homogeneous system is a system where the zero vector is not a solution and there are both trivial (zero) and non-trivial (non-zero) solutions. Non-homogeneous systems are solved using different methods compared to homogeneous systems.

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Answer:

(7.8, ∞)

Step-by-step explanation:

Given the inequality :

x > 7.8 ; the inequality can be explicitly interpreted as x greater than 8 ; this means that the inequality holds for all values of x above 7.8

The interval for which the inequality holds true is :

x > 7. 8 - - - > (7.8, ∞)

Answer:

37.5

Step-by-step explanation:

the shaded part forms a trapezoid

we can find the area of the trapezoid itself using the formula

A = (a+b)/2 × h

where a and b = base lengths and h = height

here, we are given that the base lengths are 5m and 10m and the height is 5m

so we have A = (a+b)/2 × h

==> plug in a = 10 , b = 5 and h = 5

A = (10 + 5)/2 × 5

==> add 10 and 5

A = (15)/2 × 5

==> divide 15 by 2

A = 7.5 × 5

==> multiply 7.5 by 5

A = 37.5

Answer:

Wow I do not understand a bit of that

Step-by-step explanation:

The area of the rectangle which makes of squares is 1.9.

Modern mathematics heavily relies on the concept of area. A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane. Simply put, the area is the amount of cloth or other material with the specified thickness needed to build a model of the form or the quantity of paint required to cover the shape's surface in a single layer, or "coat," of paint. It is the two-dimensional representation of a curve's length or a solid's volume, where length is a one-dimensional notion and volume is a closely similar term in three dimensions.

The  one squared section side is \(\frac{1}{4}\)

The number of squares in rectangles in width is 6

and the number of square in rectangle in length is 5

So the sides of rectangle is = w=\(\frac{5}{4}\) and \(l= \frac{6}{4}\)

area of rectangle = l*w

area of rectangle =\(\frac{5}{4}*\frac{6}{4}\\\\= 30/16\\=1.9\)

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Answer: The slope of the graph is negative 4.

Answer:

0.54

Step-by-step explanation:

sin 105 / 2 = sin 15 / b

b = sin 15 / 0.48296

b = 0.54

Chebyshev's theorem says that for any set of observations, the proportion of values that lie within k standard deviations of the mean is  1 - 1/k².

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We know that Chebyshev's theorem states that for a large class of distributions, no more than 1/k² of the distribution will be k standard deviations away from the mean.

This means that 1 - 1/k² of the distribution will be within k standard deviations from the mean.

Lets k = 1.8, the amount of the distribution that is within 1.8 standard deviations from the mean is;

1 - 1/1.8² = 0.6914

= 69.14%

Hence, Chebyshev's theorem says that for any set of observations, the proportion of values that lie within k standard deviations of the mean is  1 - 1/k².

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To test if there is a difference between the means of the two populations, we can perform a two-sample t-test. The null hypothesis is that there is no difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.

Let's assume that the researcher has collected the following data:

Sample of families with no children: n1 = 30, sample mean = 4.5 hours per week, sample standard deviation = 1.2 hours per week.

Sample of families with children: n2 = 40, sample mean = 3.8 hours per week, sample standard deviation = 1.5 hours per week.

Using the critical value method, we need to calculate the t-statistic and compare it to the critical value from the t-distribution table with n1+n2-2 degrees of freedom and a significance level of α = 0.05.

The formula for the t-statistic is:

t = (x1 - x2) / sqrt(s1^2/n1 + s2^2/n2)

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Plugging in the numbers, we get:

t = (4.5 - 3.8) / sqrt((1.2^2/30) + (1.5^2/40)) = 2.08

The degrees of freedom for the t-distribution is df = n1 + n2 - 2 = 68.

Using a t-distribution table, we find the critical value for a two-tailed test with α = 0.05 and df = 68 is ±1.997.

Since our calculated t-statistic of 2.08 is greater than the critical value of 1.997, we can reject the null hypothesis and conclude that there is a statistically significant difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.

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The diameter of the tree increased by 0.27in. (approximately) and the change in tree's cross section area is 27.5 in.².

As given in the question,

Diameter of the tree 'd' = 14in.

Radius = 7in.

Circumference of the tree = πd

                                            = 3.14 × 14

                                            = 43.96 in.

New circumference increased by 4 in. = 43.96 + 4

                                                                = 47.96in.

New diameter = 47.96 / 3.14

                        = 15.27 in. (approximately)

New Radius ≈ 7.6 in.

Increase in diameter= 15.27 - 15

                                  = 0.27 in.

Area of cross section original tree = 3.14 × 7²

                                                         = 153.9 in.²

New area of cross section original tree = 3.14 × 7.6²

                                                                 = 181.4 in.²

Change in area = 181.4 - 153.9

                          = 27.5 in.² ( approximately)

Therefore, increase in diameter is 0.27in. and change in cross - section area is 27.5 in.²

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The simplified expression using rational numbers is 82.25.

First, let's start by defining what a rational number is. A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not zero. For example, 2/3, 5, and -7/2 are all rational numbers.

Now, let's simplify the expression using rational numbers. We can start by simplifying (5.5)² and 9(5.5)².

(5.5)² is equal to 30.25, which is a rational number because it can be expressed as 121/4.

9(5.5)² is equal to 9 times 30.25, which is equal to 272.25. This is also a rational number because it can be expressed as 109/4.

Next, let's simplify √5.75. To do this, we need to express the square root as a rational number. We can do this by rationalizing the denominator.

To rationalize the denominator, we multiply both the numerator and denominator of the expression by the conjugate of the denominator. In this case, the conjugate of √5.75 is √5.75.

So, 5.75√ can be simplified as follows:

5.75√ = 5.75√5.75/√5.75

= 5.75√5.75/5.75

= √5.75

Now, we can rewrite the expression as:

(121/4) + √5.75 + (109/4) + 5.75 + 9

Combining like terms, we get:

(121/4) + (109/4) + 15.75 + 9

Simplifying further, we get:

(230/4) + 15.75 + 9

= 57.5 + 15.75 + 9

= 82.25

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Answer:

Step-by-step explanation:

According to the given ratio the height of the plants is 7x and 9x.

The difference of heights is 26 cm:

a) The taller plant is:

b) Shorter plant is:

c) Their total height is: