1) Convert fractions into decimals.

a.34/100


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Given the data mentioned in the table, the following calculations must be performed to obtain the requested probabilities:

I.-

(0 + 70 + 136 + 49) / (2,146 + 463 + 60 + 135 + 0 + 70 + 136 + 49) = X

255/3059 = X

0.0833 = X

II.-

196/3059 = X

0.0640 = X

III.-

(255 + 463) / 3059 = X

718/3059 = X

0.2347 = X

IV.-

0/3059 = X

0 = X

V.-

463/3059 = X

0.1513 = X

VI.-

136/196 = X

0.6938 = X

Therefore, I) the probability that the person is female is 8.33%, II) the probability that the person has a risk factor heterosexual contact is 6.40%, III) the probability that the person is female or has a risk factor of IV drug user is 23.47%, IV) the probability that the person is female and has a risk factor of homosexual is 0%, V) the probability that the person is male and has a risk factor of IV drug user is 15.13%, and VI) the probability that the person is female given that the person got the disease from heterosexual contact is 69.38%.

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Answer:

A:

-4x(2x2 – 3x + 7)

Step-by-step explanation:

Answer:

500 and 4.3

Step-by-step explanation:

A decigram is one-tenth of a gram and a kilometer is one-thousandth of a meter. Using this information, we must multiply the given amounts by the values.

5000 × 0.1 = 500

4300 × 0.001 = 4.3

Thus, the answers [in order] are 500 and 4.3

Hope this helps and feel free to ask any questions.

Answer:

5x + 17

Step-by-step explanation:

To answer this question, we must first simplify:

2 (x + 7) + 3 (x + 1) = 2x + 14 + 3x + 3

Then, we have to combine like terms:

2x + 14 + 3x + 3 = 5x + 17

And there is our answer, 5x + 17

Hope this helps ! :)

Answer:

Step-by-step explanation:

\(\mathrm{6n - 9 \; when\;n = 4}\)

Let's substitute n with 4 :-

Multiply 6*4 = 24:-

Subtract:-

____________________

Hope this helps!

The minimum amount of plastic wrap needed to completely wrap 8 containers is  794. 4 in². Option D

The area of each circular end is:

A = πr²

A = 3.14 × (2.75)²

A = 23.68in²

The area of the rectangular side is:

A = h * circumference

circumference = 5.5in * π

circumference = 17.27in

Using the given height of 3 inches, we get:

A = 3in * 17.27

A = 51.81in²

Therefore, the total surface area of each container is:

A = 2 * 23.68 + 51.81

A = 98.17in²

To wrap 8 containers, we need to multiply the surface area of each container by 8:

Total surface area = 8 × 98.17

Total surface area = 794. 4 in²

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The measure of the hypotenuse of the right-angle triangle is 53.21 feet.

Given that:

Perpendicular, P = 50 feet

Angle, Ф = 70°

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The measure of the hypotenuse of the right-angle triangle is calculated as,

sinФ = P/H

sin 70° = 50 / x

x = 53.21 feet

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Answer:

76inches

Step-by-step explanation:

I took the test✨

Answer:

n = 24

Step-by-step explanation:

60= n/3 + 52

-52. -52

8= n/3

You then take 3/1 times 8 therefore you leave n by itself

n = 24

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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The length of the rectangle given the area as 12 is 6

Area of a rectangle = Length × width

Area of a rectangle = Length × width

12 = (w + 4) × w

12 = w² + 4w

w² + 4w - 12 = 0

Solve the quadratic equation using factorization

w² + 6w - 2w - 12 = 0

w(w + 6) - 2(w + 6) = 0

(w + 6) (w - 2) = 0

w + 6 = 0 or w - 2 = 0

w = -6 or w = 2

Hence,

width of the rectangle can not be negative.

Length of the rectangle = w + 4

= 2 + 4

= 6

Therefore, 2 is the length of the rectangle.

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The recursive formula will be

\(a_n = (-1)^{n+1\) [3 times difference + previous term]

When objects are defined in terms of other objects of the same type, the process is said to be recursive. The full class of objects can then be constructed from a few beginning values and a handful of rules using some kind of recurrence relation.

Given:

4,-17,46,…

Now, as the difference is

s= -17- 4= -21

and, d= 46 - (-17)= 63

Then, the recursive formula will be

\(a_n = (-1)^{n+1\) [3 times difference + previous term]

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Answer:

They are the same.

Step-by-step explanation:

Answer:

  (b)  x + 6

Step-by-step explanation:

You want the rule for the x-coordinate when the transformation is a right shift of 6 units.

A point that is the image of a pre-image point with x-coordinate x will be 6 units farther right of the y-axis than the pre-image point.

The x-coordinate measures how far right of the y-axis a point is. When that distance increases by 6 units, the x-coordinate increases by 6 units:

  x ⇒ x+6 . . . . . . the x-coordinate transformation rule

<95141404393>

\(101c - 5c + 4c = 100c \\ \\ 12q - 4 + 10q - 4q + 9 \\ 12q + 10q - 4q - 4 + 9 \\ 18q + 5 \\ \\ 21k - 20k + 3k = 4k \\ \\ 181x + 91x - 23x = 249x\)

Answer: Two-way frequency tables are especially important because they are often used to analyze survey results. Two-way frequency tables are also called contingency tables. Two-way frequency tables are a visual representation of the possible relationships between two sets of categorical data.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Step-by-step explanation: To simplify, we will apply the Quotient Rule.

The 5's in this problem are bases so as you apply the quotient rule,

subtract the exponents but leave the base alone to get 5⁴.

We can also write 5⁴ as 5 · 5 · 5 · 5.

Answer:

A) 5*5*5*5

Step-by-step explanation:

Therefore, the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 is 75%, rounded to one decimal place.

Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It measures how spread out the data is from the mean or average value. A low standard deviation indicates that the data is closely clustered around the mean, while a high standard deviation indicates that the data is more spread out. It is calculated as the square root of the variance, which is the average of the squared differences from the mean.

Here,

Chebyshev's theorem states that for any dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations of the mean, where k is any positive number greater than 1. To find the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83, we can first find how many standard deviations away from the mean these prices are:

$3.27 is (3.27 - 3.55)/0.14 = -2 standard deviations from the mean

$3.83 is (3.83 - 3.55)/0.14 = 2 standard deviations from the mean

Thus, the distance between $3.27 and $3.83 is 4 standard deviations (2 in each direction).

Using Chebyshev's theorem with k = 2 (since we want to know the minimum percentage within 2 standard deviations), we have:

=1 - 1/2²

= 1 - 1/4

= 0.75

This means that at least 75% of stores sell a gallon of milk for between $3.27 and $3.83.

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Answer:

-4

4

14

Step-by-step explanation:

A:

5 + (-3)(3) = 5 -9 = -4

B:

5+ (-3)(1/3) = 5 - 1 - 4

C:

5 + (-3)(-3) = 5 + 9 = 14

Answer: 8/6 = 1 2/6

Step-by-step explanation:

1/2 = 3/6, so 3/6 + 5/6 = 8/6 = 1 2/6

\( \huge \sf \dag \: Answer : \)

\( \longmapsto \rm 2x + 6x + 10 = 0\)

\( \longmapsto \rm 8x = - 10\)

\( \longmapsto \sf x = - \frac{10}{8}\)

Because this is just an ordinary linear equation and only has 1 value of x that meets it, it can be concluded that the value of \(\tt x_1\) is equal to \(\tt x_2\), then:

\( \longmapsto \sf x_2 + x_2\)

\( \longmapsto \sf ( - \frac{10}{8} ) + ( - \frac{10}{8} )\)

\( \longmapsto \sf \boxed{\boxed{ \bf{ - \frac{20}{8}}} }\)

-I Hope This Helps!!

Answer:

3=coeffcient

b=variable

A=constant

The linear system l has one solution. This can be determined by examining the augmented matrix to find the row echelon form. The row echelon form is a matrix with zeroes below the leading entries and all the leading entries are in different columns.

By converting the augmented matrix into the row echelon form, we can identify the number of variables and the number of equations. Since there are three equations and three variables in the row echelon form, the linear system l has one solution. The row echelon form of the given augmented matrix is

\($\begin{bmatrix}1&-3&2&3\\0&-5&-9&-10\\0&0&4&5\end{bmatrix}$\)

By counting the number of equations and variables in the row echelon form, it can be seen that there is only one solution for the linear system l. This is because the number of equations is equal to the number of variables, indicating that there is a single solution.

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the linear system l has an augmented matrix which is a row equivalent to the following. how many solutions does l have?

 \($\begin{bmatrix}1&-3&2&3\\-3&8&-11&-14\\2&-7&5&7\end{bmatrix}$\)

Answer:

1/4

Step-by-step explanation:

12:3=4

I hope I helped.

Mark Brainliest and have a marvellous day!

:)

I wish you luck with Maths!

The measure of ∠QTS = 58°

Given; A triangle QPR

PQ = PR

this means that ∠ Q = ∠ R

and QR = QT this means ∠ R = ∠ T

And ST ║ QR

and QT is the transversal

From the above mentioned information we can conclude that

∠QTS = ∠TQR -------------- 1

Thus since ∠ Q = ∠ R  

by using angle sum property of triangle we can conclude that

∠ Q + ∠ R = 116  [ exterior angle sum property ]

2 ∠ Q = 116

∠ Q = 58°

this means ∠ TQR = 58°

And from 1 we know that this angle is equal to angle QTS

Thus ∠QTS = ∠TQR = 58°

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Answer:

6 1/4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The fraction of girls among the members that play sports is equal to the fraction of boys among the members that do not play sports.

Answer:

Your correct answer is option C. which is The fraction of girls among the members that play sports is equal to the fraction of boys among the members that do not play sports.

By simplifying the equation we can get 5y²+2y+0.4.

An equation is said to be a formula that express the equality of two expressions. These two expressions on either side of the equal sign are called the "left side" and "right side" of the equation. We usually assume that the right-hand side of the expression is zero. This can be compensated for by subtracting the right side formula from the two side formulas, so there is no loss of generality.

The equation is representing direct proportion is, by the commenting them with equal sign.

4y²+4.1+7y-3.7-5y+y²

Reorder and gather like terms-

(1.4y²+y²)+(4.1-3.7)-(7y-5y)

Collect coefficients of likes terms

(1.4+1)y²+(4.1-3.7)-(7y-5y)×y

Calculate the sum or difference we can get

2.4y²+0.4+2y

Rewrite the expression

2.4y²+2y+0.4

Thus this is the correct answer .

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