Use the "Insert Line" Tool to construct the line
showing the given distance. If you need to extend
the line outside the shape, use a dotted line.

6 school-supply kits can be put together in 30 minutes.

What do you mean by the Unitary method?

By using the unitary technique, we may determine the value of a single unit and, using that value, get the value of the necessary number of units.

According to the questions,

By applying the unitary method,

40 school supply kits can be put together in 8 minutes.

∴1 school supply kit can be prepared in (8/40) minutes

∴30 school supply kits can be prepared in (30/5) minutes

Hence,

6 school-supply kits can be put together in 30 minutes.

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Find the degree of the equation to determine if linear.

Linear

a) The Probability density function of given uniform distribution example is

F(x) = 1/3.5 for 8.5 < x< 12

Uniform distribution in Statistics is a type of probability distribution in which all possible outcomes have equally likely chance to occur. It is generally represented by U(x,y) where

x ---> minimum value and y---> maximum value

Probability density function is a probability function which defines the density of continuous random variable lying between specified range

values. It is denoted by f( a<X<b)

Probability density function for uniform distribution is F(x) = 1/(b-a) for a<x<b where a and b are parameters of uniform distribution.

We have following informations,

weigh of mini iPad = 11 ounces or 50% lighter than standard iPad.

Assume that the battery of iPad is uniformly distributed between 8.5 hours to 12 hours.

this implies a = 8.5 , b = 12

F(x) = 1/(12 - 8.5) = 1/3.5 for 8.5<x<12

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#Complete Qestion :

In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces, it was about 50% lighter than the standard iPad. Battery tests for the mini ipad showed that battery life is uniformly distributed between 8.5 and 12 hours. what is the value of 'a'? answer to one decimal. Assume that the battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

a) What is the probability that the battery life for an iPad Mini will be 10 hours or less?

Answer:

x=y/3 + 2/3

Step-by-step explanation:

Is this what you wanted?

Given the equation x² + y² + 4x - 8y + 11 = 0, the center of the circle is (-2, 4).

The standard form of the equation of circle is given by

(x - h)² + (y - k)² = r²

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x² + y² + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h² + k² - r².

If the equation of the circle in general form is x² + y² + 4x - 8y + 11 = 0, then the coefficients are:

D = 4

E = -8

F = 11

If D = -2h and D = 4, then

4 = -2h

h = -2

If E = -2k and E = -8, then

-8 = -2k

k = 4

Hence, the center of the circle is (h, k) = (-2, 4).

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The correct number in the function f (3) will be;

⇒ f (3) = 2

What is Line segment?

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

Given that;

The graph is shown in figure.

Now,

Clearly, By the image of the graph;

At x = 3,

The function is defined as;

⇒ f (3) = 2

Thus, The correct number in the function f (3) will be;

⇒ f (3) = 2

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The values of a, b and c from the given polynomial are a = -1 , b = 2 and, c= -35.

We are given the expression:-

[tex]x^2+2x-35[/tex]

We know that, the general form of a quadratic expression is :-

[tex]ax^2+bx+c[/tex]

We can rewrite the given expression as:-

[tex]-1x^2+2x+(-35)[/tex]

Comparing it with the given equation, we get:-

a = -1 , b = 2 , c= -35

Polynomial

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division (No division operation by a variable).

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Stacey meets Andrew 1.5 hours after she starts travelling at 11:30 AM and Andrew meets Stacey 2 hours after he starts travelling at 11:30 AM.

How to solve this problem?
Stacey and Andrew in the mentioned problem will meet in a time frame only when the both have travelled equal distances in respect to another.

Given, speed at which Andrew was travelling = 12 mi/h
Speed at which Stacey was travelling = 16 mi/h
Let the time taken by Stacey be = t hours
Therefore, the time taken by Andrew = (t + 0.5) hours
When Stacey overtakes Andrew, they must have covered the same distance, therefore:
16t = 12×(t + 0.5) ⇒ 16t = 12t + 6 ⇒ 4t = 6 ⇒ t = 6/4 ⇒ t = 3/2 ⇒ t = 1.5
Therefore, Stacey meets Andrew 1.5 hours after she starts travelling at 11:30 AM and Andrew meets Stacey 2 hours after he starts travelling at 11:30 AM.

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The coordinate of image of P is (-6,-4)

What in math is a coordinate?

a pair of numbers that utilize the horizontal and vertical breakups from the two reference axes to define a point's location on a coordinate plane. generally expressed by the x-value and y-value pair (x,y).

P (-2,2)
Translation (x,y)=(x-4,y-6)
x= -2
y= 2
x-4= -6
y-6= -4
Hence the coordinate of image of p is (-6,-4)

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The circumcenter is where three perpendicular bisectors intersect and the incenter is where the three angle bisectors intersect.

The circumscribed circle or circumcircle of a polygon in geometry is a circle that passes through each of the polygon's vertices. This circle's circumcenter and circumradius are its centre and radius, respectively.

Construct angle bisectors of each angle of the triangle and their intersection point gives the incenter.

To find Circumcenter:

Construct perpendicular bisectors of all sides of the triangle and their intersection point gives the circumcenter.

Circumcenter Theorem: It states that the vertices of a triangle are equidistant from the circumcenter.

Incenter Theorem: It states that the incenter is equidistant from the sides of the triangle.

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The clothing in the store is separated into strata, each of which is a rack of items with comparable prices. An illustration of the use of a stratified random sample is the mean price calculated using the randomly chosen articles of clothing from the strata.

In the random sampling method of sampling, each sample has an equal chance of being chosen. In order to fairly represent the entire population, a sample is chosen at random. From a pool of 250 employees, 25 names could be chosen at random to represent a simple random sample. The sample in this case is random, and the population in this case is the employees since each has an equal chance of being chosen.

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Answer:

Step-by-step explanation:

NOSEEEEEE

Answer:

1-10.

Step-by-step explanation:

Answer:

119days

Step-by-step explanation:

1 week= 7 days

take week as w

so 1w=7 or w=7

now 17 weeks=??

17w=??

w=7 so input in above statement:

17(7)=119days

Answer: 119 days

Step-by-step explanation:

       We can set up a dimensional analysis problem to solve.

               [tex]\displaystyle 17 \;\text{weeks}\;(\frac{7\;\text{days}}{1\;\text{week}} )[/tex]

       The units of [tex]\frac{weeks}{weeks}[/tex] cancel out, leaving us with days. Since we are being asked to find days, this will leave us at the right point.

               [tex]\displaystyle \frac{17*7}{1} =119\;\text{days}[/tex]

The area of the shape is 32  square yards

The given consist of one rectangle and a right triangle

The area of the figure = The area of the rectangle + The area of the right triangle

The area of the rectangle = The length × The width

The length of the rectangle = 6 yards

The width of the rectangle = 4 yards

The area of the rectangle = 6×4

= 24 square yards

The area of the triangle = (1/2)bh

The base of the triangle = 9 - 5 = 4 yards

The height = 4 yards

The area = (1/2)× 4 × 4

= 8 square yards

The area of the figure = 24 + 8

= 32 square yards

Hence, the area of the shape is 32  square yards

The complete question is:

What is the area of the shape below?

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Answer:

Answer is: 8 2/3 but improper is 26/3

The total amount of sugar which contains in 4 grams of sugar = 304 grams.

Amount of sugar fast food smoothie has = 76 gram

amount of sugar a teaspoon of sugar contains = 4 gram

Thus the total amount of sugar which contains in 4 grams of sugar = 4 × 76

this implies  the total amount of sugar which contains in 4 grams of sugar  = 304 grams

In this question we used the unitary method where we multiplied a quantity with a known quantity to find the value of an unknown quantity.

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Based on the image attached, the relationship are:

a). AB and BC - Both the segments are said to be perpendicular and they are intersecting at the point B.

b). AE and BF - Both segments are said to be parallel

c). EF and ED - Both are skew

d). Plane ABC and plane ABF - Both of the planes do  intersect at point AB

e). Plane AED and plane BFC - Both of the given planes are known to be parallel

if the ratio equality is accurate, parallel. If the lines are not parallel or if you can solve them as a system of simultaneous equations, the lines will intersect. If two crossing lines have a zero dot product, they are perpendicular.

If the lines are not parallel or intersecting, they are said to skew. Lines that are parallel never cross.

Therefore,

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Value of  [tex]a^5-\frac{1}{a^5}[/tex] is 31.97.

What do you mean by algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

There are 3 main types of algebraic expressions which include:

Monomial Expression

Binomial Expression

Polynomial Expression

An algebraic expression which is having only one term is known as a monomial.

Given expression:

a + 4/a = 4

We need to simplify the above expression and will find the value of a.

[tex]a+\frac{4}{a}=4[/tex]

⇒ [tex]\frac{a^2+4}{a}=4[/tex]

⇒ [tex]a^{2}+4=4a[/tex]

⇒ [tex]a^2-4a+4=0[/tex]

⇒ [tex]a^2-2a-2a+4=0[/tex]

⇒ a(a-2) -2(a-2) = 0

⇒ (a-2)(a-2) = 0

⇒ a = 2

Now, substitute this value of a in expression , [tex]a^5-\frac{1}{a^5}[/tex]

[tex]2^5-\frac{1}{2^5}[/tex]

= 32 - 1/32

= [tex]\frac{1024-1}{32} =1023/32 = 31.97[/tex]

Therefore, value of  [tex]a^5-\frac{1}{a^5}[/tex] is 31.97.

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Answer:

2.5 - 2(-3-0.5) + 2(n) > 10.75

Step-by-step explanation:

Step 1: two and 5 tenths is 2.5

Step 2: 2 times the quantity of the difference of negative three and one half is 2(-3-1/2)

Step 3:  two times a number is at least ten and three quarters = 2(n) > 10.75

Combine: 2.5 - 2(-3-0.5) + 2(n) > 10.75

The final price of the comic book after it is marked up is $5.79.

Since we have given that

Cost of a comic book including tax = $ 3.99

According to the question, it is given that it is marked up 45%,

=3.99 × (100+45)÷100

=3.99 × 145/100

=399 × 1.45

=5.79

Hence, the final price of the comic book after it is marked up is $5.79.

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The F-test is used in regression analysis to test the hypothesis that all model parameters are zero. It is also used in statistical analysis when comparing statistical models.

Statistical models that have been fitted using the same underlying factors and data set to determine the model with the best fit. That is:

H₀ : B₁ = B₂ = .............  = Bₓ =0

H₁: Bₙ ≠ 0 for at least one j.

The F-test was developed by Ronald A. Fisher (hence F-test) and is a measure of the ratio of variances. The F-statistic is defined as:

F = [tex]\frac{explained variables}{unexplained variables}[/tex]

A general rule of thumb that is often used in regression analysis is that if  

F > 2.5then we can reject the null hypothesis. We would conclude that there is a least one parameter value that is nonzero.

The F-distribution is generally a skewed distribution and also related to a chi-squared distribution. The f distribution is the ratio of X1 random chi-square variable with degrees of freedom ϑ1 and X2 random chi-square variable with degrees of freedom ϑ2. (In other words each of the chi-square random variable has been divided by its degrees of freedom)

The F-distribution is generally a skewed distribution and also related to a chi-squared distribution. The f distribution is the ratio of X1 random chi-square variable with degrees of freedom ϑ1 and X2 random chi-square variable with degrees of freedom ϑ2. (In other words each of the chi-square random variable has been divided by its degrees of freedom)

                        F =[tex]\frac{x_{1}/v_{1} }{x_{2}/v_{2} }[/tex]

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The solutions of the given quadratic equation are

[tex]x = 3 \ or \ x = -\frac{1}{4}[/tex]

What is quadratic equation?

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A two degree equation is known as Quadratic equation.

The given quadratic equation is

[tex]4x^2 - 11x - 3[/tex]

Now,

[tex]4x^2 - 11x - 3 = 0\\\\(2x)^2 - 2 \times 2x \times \frac{11}{4} + (\frac{11}{4})^2 - (\frac{11}{4})^2 -3 = 0\\\\(2x - \frac{11}{4})^2 = \frac{121}{16} + 3\\\\(2x - \frac{11}{4})^2 = \frac{121+48}{16}\\\\(2x - \frac{11}{4})^2 = \frac{169}{16}\\\\2x - \frac{11}{4} = \sqrt{\frac{169}{16}}\\\\2x - \frac{11}{4} = \pm\frac{13}{4}\\\\2x - \frac{11}{4} = \frac{13}{4} \ or \ 2x - \frac{11}{4} = -\frac{13}{4}\\\\2x = \frac{13}{4} + \frac{11}{4} \ or \ 2x = \frac{11}{4} - \frac{13}{4}\\\\[/tex]

[tex]2x = 6 \ or \ 2x = -\frac{1}{2}\\x = 3 \ or \ x = -\frac{1}{4}[/tex]

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Answer:

x = 4, 2

Step-by-step explanation:

Answer:

Food desert census tracts typically have fewer populations than all other census tracts, a higher percentage of unoccupied or abandoned dwellings, and residents who are less likely to have a college degree, make less money, or be employed.

Answer:

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

There  are no prime numbers between7,608 and 7,620

A prime number is a whole number greater than 1 whose only factors are 1 and itself

The numbers between 7608 and 7620 are:

7609,7610,7611,7612,7613,7614,7615,7616,7617,7618,7619

Here we have to check these numbers are prime number or not

Prime factorization

7609=7×1087

7610=2×5×761

7611=3×43×59

7612=2×2×11×173

7613=23×331

7614=2×3×3×3×3×47

7615=5×1523

7616=2×2×2×2×2×2×7×17

7617=3×2539

7618=2×13×293

7619=19×401

Hence, proved that there are no prime numbers between7608 and 7620

The slope is m = 5.

What is slope?

The change in y coordinate relative to the change in x coordinate is referred to as a line's slope in mathematics. The symbols Δy and Δx stand for the net change in the y-coordinate and the net change in the x-coordinate, respectively. where "m" denotes a line's gradient. tanθ then represents the slope of a line.

We have to find the slope of the points given.

First to find the change between each y - value.

16 - 11 = 5

21 - 16 = 5

26 - 21 = 5

31 - 26 = 5

So the change between each y - value is 5.

Now, to find the slope of the points.

Since,

Slope = m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m_1=\frac{16-11}{6-5}= \frac{5}{1} =5\\ m_2=\frac{21-16}{7-6}=\frac{5}{1} =5\\ m_3=\frac{26-21}{8-7}=\frac{5}{1}=5\\m_4=\frac{31-26}{9-8}=\frac{5}{1} =5[/tex]

Hence, the slope of the given points is 5.

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Answer:

The answer is 5

Step-by-step explanation:

Though there is also a bottom number, just put a 1 in the bottom number