The product of two consecutive positive integers is 132. What are the integers?

Answer:

Step-by-step explanation:

a) The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

Where

x1 = sample mean of group 1

x2 = sample mean of group 2

s1 = sample standard deviation for data 1

s2 = sample standard deviation for data 2

For a 90% confidence interval, the z score is 1.645

From the information given,

x1 = 24.5

s1 = 4.3

n1 = 200

x2 = 16.3

s2 = 3.1

n2 = 200

x1 - x2 = 24.5 - 16.3 = 8.2

z√(s1²/n1 + s2²/n2) = 1.645√(4.3²/200 + 3.1²/200) = 1.645√0.1405

z = 0.62

Therefore, the 90% confidence interval is 8.2 ± 0.62

Interpretation:

B.The researchers are 90% confident that the difference of the means is in the interval.

b) B.Since the 90% confidence interval does not contain​ zero, the results suggest that priming does have an effect on scores.

Answer:

333 miliacres

Step-by-step explanation:

First of all, you should know  that 1 acre is the same as 4046.9 m²

So, 1/3 of those 4046.9 m² is fully covered by strawberries.

By the way, 4046.9m² . 1/3 = 1348.96 m². This is our planted field.

Let's convert the measure to acres, though:

1348.96 m² . 1 acre / 4046.9 m² = 0.333 acres

0.333 acres . 1000 / 1 acre = 333 miliacres

If you want to know in another unit, let's do another conversion

0.333 acre . 43560 square feet / 1 acre = 14520 square feet

Answer: I believe this is it

The required reflection of the given points are A' = (5, -1), B' = (1, -3), C' = (-2, -2), D' = (-5, -4)

If we have any point say P(x, y) then their reflection around x -axis is

P'(x, -y)

Therefore around x-axis reflection only y coordinate changes

here we have the points

A = (5, 1), B = (1, 3), C = (-2, 2), D = (-5, 4)

Therefore the reflected points are

A' = (5, -1), B' = (1, -3), C' = (-2, -2), D' = (-5, -4)

The presentation is attached in the image

This is the conclusion to the answer.

Learn ore about reflection of the points here-

https://brainly.com/question/7243416

#SPJ2

Answer:

6

Step-by-step explanation:

2 3/4 = 2.75 & 16 1/2 = 16.5

No of pieces = 16.5/2.75 = 6

Answer:

6 pieces.

Step-by-step explanation:

16 1/2 /  2 3/4

= 33/2 / 11/4

= 33/2 * 4/11

=  132 / 22

=  6

Answer:

The density function of X is : [tex]h_{X} (x) = \left \{ {{\frac{2}{(1+2x)^{2} } \quad x\geq0} \atop {x=0 \qquad x<0 }} \right.[/tex]

Step-by-step explanation:

[tex]h_{X} (x) = \left \{ {{\frac{2}{(1+2x)^{2} } \quad x\geq0} \atop {x=0 \qquad x<0 }} \right.[/tex]

For easiness and clarity of expression, the calculations are handwritten and attached as files. The files are broken into bits for easy understanding. Check the six files below for the calculations.

Answer:

The first book can be chosen from ANY of the 6 books,

the second book can be chosen from the OTHER 5 books and continuing in this way, we get:

6 * 5 * 4 * 3 * 2 * 1 = 720 ways

Step-by-step explanation:

Answer:

C. 0.1515

Step-by-step explanation:

The main objective here is to find the P-value for the test of [tex]H_0[/tex]

Given that ;

the mean value = 2.2

the standard deviation = 1.4

number of recorded accident per week = 52

The null  hypothesis is : [tex]H_o: \mu =2[/tex]

The alternative hypothesis is : [tex]H_A = \mu < 2[/tex]

The Z- value can be calculated as:

[tex]z = \dfrac{x- \mu}{\dfrac{\sigma }{\sqrt{n}}}[/tex]

[tex]z = \dfrac{2- 2.2}{\dfrac{1.4 }{\sqrt{52}}}[/tex]

[tex]z = \dfrac{- 0.2}{\dfrac{1.4 }{7.211}}[/tex]

z = -1.03

From the normal distribution table for probability;

P(z< -1.03 ) = 0.1515

Answer:

Step-by-step explanation:

x + 3y = 1

-3x - 3y = -15

-2x = -14

x = 7

7 + 3y = 1

3y = -6

y = -2

(7, -2)

Answer:

x =7 , y= -2

Step-by-step explanation:

x + 3y = 1

-3x - 3y = -15

Add the equations together to eliminate y

x + 3y = 1

-3x - 3y = -15

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

-2x = -14

Divide by -2

-2x/-2 = -14/-2

x = 7

Now we can find y

x+3y = 1

7 + 3y = 1

Subtract 7 from each side

7+3y-7 = 1-7

3y = -6

Divide by 3

3y/3 = -6/3

y = -2

Answer:

Finding the y value is easy if you know the slope of the line and the x coordinate. Review the equation for the slope of a line. The equation for finding the slope is: m = [y1 - y2] / [x1 - x2]. If you know x, you can solve for y to find the y value for the slope of the line.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer B

cause a full triangle degrees is 180 degrees and u just have to remove:

180-40-30= 110 degrees

Answer:

Step-by-step explanation:

Given SinP + SinQ = 7/5...1 and

∠P + ∠Q = 90°... 2

From compound angle; SinP +SinQ = [tex]2sin(\frac{P+Q}{2} )cos(\frac{P-Q}{2} )[/tex]... 3

Substituting equation 2 into 3 we will have;

SinP +SinQ = [tex]2sin(\frac{90}{2} )cos(\frac{P-Q}{2} )[/tex] = 7/5

[tex]2sin45^{0} cos\frac{P-Q}{2}=7/5[/tex]

since P = 90-Q from equation 1, then;

[tex]2sin45^{0} cos\frac{90-Q-Q}{2}=7/5\\2sin45^{0} cos\frac{90-2Q}{2}=7/5\\2(\frac{1}{\sqrt{2} } ) cos\frac{90-2Q}{2}=7/5\\cos\frac{90-2Q}{2} = 7/5* \frac{\sqrt{2} }{2} \\cos\frac{90-2Q}{2} = \frac{7\sqrt{2}}{10}\\\frac{90-2Q}{2} = cos^{-1} \frac{7\sqrt{2}}{10}\\\frac{90-2Q}{2} = 8.15\\90-2Q = 16.30\\2Q = 90-16.3\\2Q = 73.7\\Q = 36.85^{0} \\\\P = 90-36.85\\P = 53.15^{0}[/tex]

To get sin2P; Accoding to the trig identity;

Sin2P = 2SinPCosP

Sin2P = 2Sin53.15cos53.15

sin2P = 0.9598

sin2P ≈ 1

Answer:

  see below

Step-by-step explanation:

There are a few relevant relations involved:

AB is a diameter, so arcs AB are 180°.

a) BC is the supplement to arc AC: 180° -140° = 40°

b) BG is the supplement to AG: 180° -64° -38° = 78°

c) ∠1 has the measure of BC: 40°

d) ∠2 is inscribed in a semicircle, so has measure 180°/2 = 90°

e) ∠3 is half the measure of arc AE: 64°/2 = 32°

f) ∠4 is half the sum of arcs AG and BC: ((64°+38°) +40°)/2 = 71°

g) ∠5 is half the difference of arcs AC and EG: (140° -38°)/2 = 51°

h) ∠6 is half the sum of arcs EAC and BG: ((140°+64°) +78°)/2 = 141°

i) ∠7 is the difference of exterior angle 4 and interior angle 1: 71° -40° = 31°

j) ∠8 is the measure of arc AC: 140°

k) ∠9 is the supplement to arc AC: 180° -140° = 40°

l) ∠10 is the complement of angle 7: 90° -31° = 59°

Answer:

2 cups

Step-by-step explanation:

to find the extra cup of coffee

[tex]3\frac{1}{2}-1\frac{1}{2}=\frac{7}{2}-\frac{3}{2}=\frac{4}{2}=2 cups[/tex]

Answer:

      x = 32

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5/8*x+4-(3/8*x+12)=0

Step by step solution :

Step  1  :

           3

Simplify   —

           8

Equation at the end of step  1  :

   5         3

 ((—•x)+4)-((—•x)+12)  = 0

   8         8

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  8  as the denominator :

         12     12 • 8

   12 =  ——  =  ——————

         1        8  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3x + 12 • 8     3x + 96

———————————  =  ———————

     8             8  

Equation at the end of step  2  :

   5               (3x + 96)

 ((— • x) +  4) -  —————————  = 0

   8                   8    

Step  3  :

           5

Simplify   —

           8

Equation at the end of step  3  :

   5               (3x + 96)

 ((— • x) +  4) -  —————————  = 0

   8                   8    

Step  4  :

Rewriting the whole as an Equivalent Fraction :

4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  8  as the denominator :

        4     4 • 8

   4 =  —  =  —————

        1       8  

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

5x + 4 • 8     5x + 32

——————————  =  ———————

    8             8  

Equation at the end of step  4  :

 (5x + 32)    (3x + 96)

 ————————— -  —————————  = 0

     8            8    

Step  5  :

Step  6  :

Pulling out like terms :

6.1     Pull out like factors :

  3x + 96  =   3 • (x + 32)

Adding fractions which have a common denominator :

6.2       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(5x+32) - (3 • (x+32))     2x - 64

——————————————————————  =  ———————

          8                   8  

Step  7  :

Pulling out like terms :

7.1     Pull out like factors :

  2x - 64  =   2 • (x - 32)

Equation at the end of step  7  :

 2 • (x - 32)

 ————————————  = 0

      8      

Step  8  :

When a fraction equals zero :

8.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 2•(x-32)

 ———————— • 8 = 0 • 8

    8    

Now, on the left hand side, the  8  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2  •  (x-32)  = 0

Equations which are never true :

8.2      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

8.3      Solve  :    x-32 = 0

Add  32  to both sides of the equation :

                     x = 32

One solution was found :

                  x = 32

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

To compare the variability of the measured sugar content for each day, we can estimate the standard deviation using the Range rule.

Standard Deviation =[tex]\dfrac{\text{Maximum Value-Minimum Value}}{4}[/tex]

Day 1

5.0, 4.8, 5.1, 5.1, 4.8, 5.1, 4.8, 4.8, 5.0, 5.2, 4.9, 4.9, 5.0

Standard Deviation =[tex]\dfrac{5.2-4.8}{4}[/tex]

=0.1

Day 2

5.8, 4.7, 4.7, 4.9, 5.1, 4.9, 5.4, 5.3, 5.3, 4.8, 5.7, 5.1, 5.7

Standard Deviation =[tex]\dfrac{5.8-4.7}{4}[/tex]

=0.275

Day 3

6.3, 4.7, 5.1, 5.9, 5.1, 5.9, 4.7, 6.0, 5.3, 4.9, 5.7, 5.3, 5.6

Standard Deviation =[tex]\dfrac{6.3-4.7}{4}[/tex]

=0.4

Since the estimated standard deviation of the third day is higher than that of the second day, the variability of the process is greater on the third day than on the second day.

Answer:

5 dimes and 18 nickels

Step-by-step explanation:

5D + 18 N =

5 x 10 + 18 x 5 =

5 x.10 + 18 x 0.05=

.50 + .90=

$1.40

Answer:

a) 240 ways

b) 12 ways

c) 108 ways

d) 132 ways

e) i) 0.55

ii) 0.4125

Step-by-step explanation:

Given the components:

Receiver, compound disk player, speakers, turntable.

Then a purcahser is offered a choice of manufacturer for each component:

Receiver: Kenwood, Onkyo, Pioneer, Sony, Sherwood => 5 offers

Compact disc player: Onkyo, Pioneer, Sony, Technics => 4 offers

Speakers: Boston, Infinity, Polk => 3 offers

Turntable: Onkyo, Sony, Teac, Technics => 4 offers

a) The number of ways one component of each type can be selected =

[tex] \left(\begin{array}{ccc}5\\1\end{array}\right) \left(\begin{array}{ccc}4\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}4\\1\end{array}\right) [/tex]

[tex] = 5 * 4 * 3 * 4 = 240 ways [/tex]

b) If both the receiver and compact disk are to be sony.

In the receiver, the purchaser was offered 1 Sony, also in the CD(compact disk) player the purchaser was offered 1 Sony.

Thus, the number of ways components can be selected if both receiver and player are to be Sony is:

[tex] \left(\begin{array}{ccc}1\\1\end{array}\right) \left(\begin{array}{ccc}1\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}4\\1\end{array}\right) [/tex]

[tex] = 1 * 1 * 3 * 4 = 12 ways [/tex]

c) If none is to be Sony.

Let's exclude Sony from each component.

Receiver has 1 sony = 5 - 1 = 4

CD player has 1 Sony = 4 - 1 = 3

Speakers had 0 sony = 3 - 0 = 3

Turntable has 1 sony = 4 - 1 = 3

Therefore, the number of ways can be selected if none is to be sony:

[tex] \left(\begin{array}{ccc}4\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) [/tex]

[tex] = 4 * 3 * 3 * 3 = 108 ways [/tex]

d) If at least one sony is to be included.

Number of ways can a selection be made if at least one Sony component is to be included =

Total possible selections - possible selections without Sony

= 240 - 108

= 132 ways

e) If someone flips switches on the selection in a completely random fashion.

i) Probability of selecting at least one Sony component=

Possible selections with at least one sony / Total number of possible selections

[tex] \frac{132}{240} = 0.55 [/tex]

ii) Probability of selecting exactly one sony component =

Possible selections with exactly one sony / Total number of possible selections.

[tex] \frac{\left(\begin{array}{ccc}1\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) + \left(\begin{array}{ccc}4\\1\end{array}\right) \left(\begin{array}{ccc}1\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) + \left(\begin{array}{ccc}4\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}1\\1\end{array}\right)}{240} [/tex]

[tex] = \frac{(1*3*3*3)+(4*1*3*3)+(4*3*3*1)}{240} [/tex]

[tex] \frac{27 + 36 + 36}{240} = \frac{99}{240} = 0.4125 [/tex]

Answer:

b. less than evens

Step-by-step explanation:

the probability that the next roll is 6 is

[tex] \frac{1}{6} [/tex]

B. less than evens should be the answer

Answer:

y+6=14/9(x+2)

Step-by-step explanation:

Hope this helps

Answer:

= 16  12/13 mm

Step-by-step explanation:

To find the perimeter, we add all the sides

P = 4 3 /13 +4 3/13+ 4 3 /13 +4 3/13

Adding the whole numbers

4+4+4+4 = 16

Adding the fractions

3/13+3/13+3/13+3/13 = 12/13

Putting this back together

   = 16  12/13 mm

Answer:

The volume of the jewelry box will be given by,

[tex]\text{Volume}=\text{l}\times \text{w}\times\text{h}[/tex]

Step-by-step explanation:

It is provided that, Jasmine found a wooden jewelry box shaped like a right rectangular prism.

Consider the diagram below for the shape of a right rectangular prism.

The volume of a right rectangular prism is given by the formula:

[tex]\text{Volume}=\text{l}\times \text{w}\times\text{h}[/tex]

Here,

l = length of the rectangle

w = width of the rectangle

h = height of the rectangular prism

Thus, the volume of the jewelry box will be given by,

[tex]\text{Volume}=\text{l}\times \text{w}\times\text{h}[/tex]

Answer:

In the given problem, since it was stated that the dimension of the right rectangular prism is 8 by 6 by 14 cm. To solve the problem, you can use the formula for finding the volume. Therefore, the volume of the jewelry box is 672 cubic cm.

By the ratio test, the series converges if

[tex]\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(x-2)^{n+1}}{(n+1)!2^{n+1}}}{\frac{(x-2)^n}{n!2^n}}\right|=|x-2|\lim_{n\to\infty}\frac{n!2^n}{(n+1)!2^{n+1}}[/tex]

[tex]=\displaystyle\frac{|x-2|}2\lim_{n\to\infty}\frac1{n+1}[/tex]

is less than 1. The limit itself is 0 < 1, so the series converges everywhere, i.e. on the entire real line [tex](-\infty,\infty)[/tex].

Answer:

Step-by-step explanation:

[tex]V=whl=15*7*6=630ft^3(truck)[/tex]

[tex]V=whl=1.25*2.5*2=6.25ft^2(boxes)[/tex]

To determine how many boxes can go in each truck you have to divide the volumes with ach other so 630/6.25 which equals 100.8

So you could say 2 trucks because each truck can carry 100.8 boxes each

[tex]V=\frac{1}{4} h\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4} \\V=\frac{1}{4} *7.1*\sqrt{-4^4+2*(4*5)^2+2*(4*4)^2-5^4+2*(5*4)^2-4^4} \\=55.42m^3\\(chalet)[/tex]

There is allowed 1 person per 15m^3 and there are 5 people. Only 3 people can stay in the chalet equalling 45m^3 leaving 10m^3 left thus, not allowing anymore people to stay in the chalet. So the family cant meet the fire safety standards with 5 people

Answer:

  9) 630 ft^3; 6.25 ft^3; 2 trucks (3, if you consider space utilization)

  10) 71 m^3; 4 persons; no

Step-by-step explanation:

9) The volume of the truck is the product of the dimensions:

  V = LWH = (15 ft)(7 ft)(6 ft) = 630 ft^3 . . . truck V

Likewise, the volume of a storage box is the product of its dimensions:

  V = LWH = (2 ft)(2.5 ft)(1.25 ft) = 6.25 ft^3 . . . box V

If the boxes pack well into the truck (they don't), then the number of boxes that would fit in the truck is the ratio of these volumes:

  number of boxes = (630 ft^3)/(6.25 ft^3) = 100.8

This suggests that half of the 200 boxes will fit in one truck, so 2 trucks are needed.

__

Comment on space utilization

In the real world, not all of the truck's interior space can be utilized. This is because not all of the truck dimensions are integer multiples of the box dimensions. 96 is about the most boxes that can be placed in the truck. (Fitting more than 90 requires boxes be first layered one way, then layered another way to fill as much of the remaining space as possible.) In the real world, 3 trucks are needed to move 200 of these boxes.

___

10) The area of the end triangle of the chalet is ...

  A = (1/2)bh = (1/2)(5 m)(7.1 m) = 17.75 m^2

Then the volume of the chalet is ...

  V = Bh = (17.75 m^2)(4 m) = 71 m^3 . . . volume of the chalet

At 15 m^3 per person, there is enough volume for ...

  (71 m^3)/(15 m^3/person) = 4.73 persons

4 persons can stay in the chalet.

No, the entire family cannot stay in the chalet.

Answer:

x = 20

Step-by-step explanation:

x° + 2x° + (x+10)° = 90°

3x° + x° + 10° = 90°

4x° + 10° = 90°

4x° = 90°-10°

4x° = 80°

x = 80/4

x = 20

Answer:

20°

Step-by-step explanation:

The sum of all three angles combined is 90°.  You can see this by the square at the corner.  This means that you have to add all of the angles together and set it equal to 90° to solve for x.

x° + 2x° + (x + 10)° = 90°

3x° + (x + 10)° = 90°

4x° + 10° = 90°

4x° = 80°

x = 20°

Answer:

Organizations really focus more on early results, than on thinking carefully about the decisions they must make to achieve accurate and reliable results.

 The diagram of the decision tree really helps to analyze all the possible associated variables that can contribute to a good result.

Step-by-step explanation:

We could think of an organization that has children's toys as its final product; At first this organization might think that it is best to make the most popular toys that are promoted by the advertising media, but making a decision diagram and really evaluating what is best at the moment and how this affects demand, it could be induced to look all the variables that could determine to what extent those "toys" to which the media advertise so much are so acceptable in the children's market; we could really be surprised.

Answer:

The estimated standard error is SM=1.1547 . The t statistic is 1.4722.

Step-by-step explanation:

We have to esimate the standard error and test statistic for a sample.

The sample has a size n=27.

The sample mean is M=17.7.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=√36=6.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6}{\sqrt{27}}=1.1547[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{17.7-16}{1.1547}=\dfrac{1.7}{1.1547}=1.4722[/tex]

Answer:

It is about 1.41421356. (square root of 2)

Step-by-step explanation:

You can use a calculator to figure it out! Just enter the value (-45) and press the sec button! Hope this helps :)

sec (-45) = 1/ cos (-45) .

and cos (-45) = (sqrt 2)/2 is the answer to the question

What is the value of sec(-45°)? there was no photo given or answer choices... sorry guys. thats why i asked on here lol

Answer:

The team won 33.33% of their games.

Step-by-step explanation:

Proportion and percentage of games won:

The proportion of games won is the number of games won divided by the total number of games.

The percentage of games won is the proportion multiplied by 100.

We have that:

8 wins in 24 games.

So

8/24 = 0.3333

0.3333*100 = 33.33%

The team won 33.33% of their games.

Answer:

The first coal mine worker is 650 feet below, so they're -650 ft.

The second coal mine worker is 7 feet above, so they're +7 ft.

| -650 | = 650 ft

| 7 | = 7 ft

650 > 7, so the first worker is farther from the surface.

Answer:

−4(x^2+9)

Step-by-step explanation:

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Answer:it’s c on edge, sorry i’m late but for anyone else who needs help it’s c !!

Step-by-step explanation:

Answer:

C. on edg2020

Step-by-step explanation:

Hope this helps!!! Have a great day!!!    : )