solve
2 + 2y + z=4
3x-4y- 2z=2
5x+3y+5z=-1​

Answer:

With alpha 0.95 and 8 degrees of freedom χ²= 2.73

And with alpha 0.05 and 8 degrees of freedom χ²=15.51

Step-by-step explanation:

The significance level ∝ = 1- 0.9 = 0.1

But we need the area of the middle so we divide this significance level with 2

so that we get exactly the middle area .

Dividing 0.1/2= 0.05

So we will have two values for chi square

One with  0.9 + 0.05 = 0.95 alpha and one with 0.05 alpha . This is because the chi square is right tailed.

So with alpha 0.95 and 8 degrees of freedom χ²= 2.73

And with alpha 0.05 and 8 degrees of freedom χ²=15.51

This can be shown with a graph.

Answer:

26%

Step-by-step explanation:

If 1 dollar is 100%

Then 0.26 dollar is:

Answer:

792/7 is the correct answer

Step-by-step explanation:

V=4/3pi r^3

=4/3×22/7×3x×3x×3x

=88×9x÷7=792/7

Answer:

5 Cakes

Step-by-step explanation:

14.5/2.75=5.27

A cake recipe calls for 2 3/4 cups of sugar. A caterer has 14 1/2 cups of sugar on hand. He can make 5 cakes.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given; A cake recipe calls for 2 3/4 cups of sugar. A caterer has 14 1/2 cups of sugar on hand.

WE have to do 4 x the amount you know you can such as 10.

Then we have to multiply the 1/2 by that same number

Then we divide

14.5/2.75=5.27

Therefore, They can make 5 cakes.

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168 ÷ 14 =12

ink

...

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...

Answer:

Let the cost the number of cartridges be x.

We have given that cost of one cartridge is 14 $/cartridge.

And we have 168 $ with us.

So, according to question we have an equation-

14x=168

x=168/14

x=12

Hence, we can buy 12 cartridges if we 168 $ and the cost of one cartridge is 14 $.

Answer:

1/2

Step-by-step explanation:

its j the biggest its not that hard

Answer:

(9,-5)

Step-by-step explanation:

When you go down, the number will decrease. The vertical position is the Y axis. -3-2=5.

When you go right, the number will increase. The horizontal position is the X axis. 5+4=9

(9,-5)

Hope this helps :-)

Answer:

64 degrees

Step-by-step explanation:

complementary-angle adds up to 90 degrees.

90-26 is 64 degrees.

Answer:

38 minutes

Step-by-step explanation:

Volume of the first aquarium:

Volume of the second aquarium

The second aquarium is:

It will take

to fill this aquarium

Answer: $87.35

Step-by-step explanation:

Answer:

$164.65

Step-by-step explanation:

$38+$126.65=$164.65

Answer:

Step-by-step explanation:

Given the function  j(x) = 11.6[tex]e^x[/tex] and k(x) = [tex]ln \dfrac{x}{11.6}[/tex], to show that both equality functions are true, all we need to show is that both  j(k(x)) and k(j(x)) equal x,

For j(k(x));

j(k(x)) = j[(ln x/11.6)]

j[(ln (x/11.6)] = 11.6e^{ln (x/11.6)}

j[(ln x/11.6)] = 11.6(x/11.6) (exponential function will cancel out the natural logarithm)

j[(ln x/11.6)] = 11.6 * x/11.6

j[(ln x/11.6)] = x

Hence j[k(x)] = x

Similarly for k[j(x)];

k[j(x)] = k[11.6e^x]

k[11.6e^x] = ln (11.6e^x/11.6)

k[11.6e^x]  = ln(e^x)

exponential function will cancel out the natural logarithm leaving x

k[11.6e^x]  = x

Hence k[j(x)] = x

From the calculations above, it can be seen that j[k(x)] =  k[j(x)]  = x, this shows that the functions j(x) = 11.6[tex]e^x[/tex] and k(x) = [tex]ln \dfrac{x}{11.6}[/tex] are inverse functions.

Answer:

the answer is C

Step-by-step explanation:

I did the test and got it right

Answer:

see explanation

Step-by-step explanation:

Under a half turn about the origin

a point (x, y ) → (- x, - y ) , thus

(3, 0 ) → (- 3, 0 )

(3, 4 ) → (- 3, - 4 )

(- 1, - 4 ) → (1, 4 )

(r, s ) → (- r, - s )

The coordinates of the image point under a half-turn about the origin(3, 0 ) is (- 3, 0 ), (3, 4 ) is (- 3, - 4 ), (- 1, - 4 )  is (1, 4 ), (r, s ) is (- r, - s ).

The mirror image of a point in coordinate geometry is the image formed with respect to the x-axis, y-axis, or origin.

A point (x, y ) has image point (- x, - y )

Thus,

The coordinates of the image point under a half-turn about the origin(3, 0 ) is (- 3, 0 )

The coordinates of the image point under a half-turn about the origin(3, 4 ) is (- 3, - 4 )

The coordinates of the image point under a half-turn about the origin(- 1, - 4 )  is (1, 4 )

The coordinates of the image point under a half-turn about the origin(r, s ) is (- r, - s )

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Answer:

60,500

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]8-10=-2+k[/tex]

Switch sides

[tex]-2+k=8-10[/tex]

Subtract the  numbers : 8-10=-2

[tex]-2+k=-2[/tex]

Add 2 to both sides

[tex]-2+k+2=-2+2[/tex]

Simplify

[tex]k = 0[/tex]

Answer:

k=0

Step-by-step explanation:

Simplify  8-108−10  to  -2−2.

−2=−2+k

regroup those terms

−2=k−2

cancel -2 on both sides

0=5

switch sides k=0

i recommend using cymath free and very easy

Answer:

Step-by-step explanation:

Yes, it's a repeating decimal:  1.3333333....

Answer:

34,466 children

Step-by-step explanation:

Given the following :

Total number of males born in year 2000= 2,086,814

Percentage number of Jacob's born in year 2000 = 1.6516%

The Jacobs make up 1.6516% of all males born that year?.

The number of Jacob's born in year 2000 will be :

1.6516% of the total number of children born in the year 2000

(1.6516 / 100) × 2,086,814

0.016516 × 2,086,814

= 34465.820024

= about 34,466 children

Answer:

30.4 minutes

Step-by-step explanation:

The tank already has 240L in it, so we need to fill 1000 - 240 = 760L of water.

Since the pump pumps 25L per minute, we can find how many minutes it takes to pump 760L.

760 / 25 = 30.4 minutes.

It will take 30.4 minutes to fill the tank completely.

Two or more expressions with an equal sign are defined as an equation.

Given that, The 1000 L tank contains 240 L of water, therefore, the free space in the tank is :

1000-240

= 760 L

The pump fills the tank at a rate of 25 L per minute.

Therefore, it can be represented as:

25 L = 1 minute

1 L = (1/25) minutes

760 L = (1/25)×760 minutes

760 L = 30.4 minutes.

Hence, it will take 30.4 minutes to fill the tank completely.

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Answer:

C. 375.24 + 37.50w

Step-by-step explanation:

He already has 375.24

He adds 37.5 every week.

W = the number of weeks.

Example:

=> If he deposits for 10 weeks, then it will be

=> 375.24 + 37.5(10)

=> 375.24 + 375

=> 750.24

The correct expression to represent this problem is Option C.

Answer:

10

Step-by-step explanation:

2(3)²-8

2(9)-9

18-8=10

Answer:

28

Step-by-step explanation:

Answer:

(C) 30 inches

Step-by-step explanation:

The area of a rectangle is always it’s length times its width. Since we are given the length and width, we can multiply these two numbers to get our total area.

[tex]6\cdot5=30[/tex]

Hope this helped!

Answer:

[tex]\large\boxed{Area = 30 inches}[/tex]

[tex]\huge\underline\bold\blue{Given}[/tex]

Length = 5 inches

Breadth= 6 inches

we know that the area of rectangle = length×breadth

Area of rectangle = length × breadth

[tex]\rightarrow[/tex] Area = 5 × 6

[tex]\rightarrow[/tex]Area = 30inches

Hope it helps

Given :

A grocery store charges 1.25 $ for every 3/4 pound of chocolate purchased.

To Find :

How much will the store charge a customer who purchases 9 pounds of chocolate .

Solution :

3/4 pound store charges 1.25 $ .

Let , cost of 1 pound is x .

So ,

[tex]\dfrac{3x}{4}=1.25\\\\x=\dfrac{1.25\times 4}{3}\\\\x=1.67\ \$[/tex]

Now , cost of 9 pounds chocolate is :

[tex]C=9\times 1.67\ \$\\\\C=15.03\ \$[/tex]

Therefore , cost of 9 pounds chocolate is 15.03 $ .

Hence , this is the required solution .

Answer and Step-by-step explanation: Marginal Benefit is the maximum a person is willing to pay for an additional good or service. It can be calculated as:

[tex]marginal=\frac{Change total benefit}{Change quantity}[/tex]

For each cup of coffee:

For the first cup, benefit is $8;

For the second:

[tex]marginal=\frac{14-8}{2-1}[/tex]

marginal = 6

For the third:

[tex]marginal=\frac{18-14}{3-2}[/tex]

marginal = 4

For the fourth:

[tex]marginal=\frac{20-18}{4-3}[/tex]

marginal = 2

For the fifth:

[tex]marginal=\frac{21-20}{5-4}[/tex]

marginal = 1

The cost of the coffe is $3, so comparing benefit and cost, Neal should consume 4 cups of cofee per day.

Answer:

$26 + X = $57

$26 + $31 = $57

X = $31

My first time ever answering a question hope it helped =)  (And sry it took long)

Step-by-step explanation:

Answer:

1. 1. Because convenient sampling is adopted here data is only gotten from students that eat in the hall in a given period of time so this is a source of bias

Also one study center that is the Hall of only one school is used this is also biased and may affect the result of the study

To avoid this bias a simple random sampling where each student have an equal chance of being selected in the study should be adopted

Answer:

The types of cookies purchased by the customers depends on where the scouts sell them.

Step-by-step explanation:

The data provided is:

Sales                                                   Type of Cookie Sold

Method                                                        

                   Thin Mints        Tagalongs          Do-si-dos         Trefoils        Samoas

    At

parents’        472                   641                    350                  223               401

workplace  

  Door

  -to-              840                  1092                   673                    511               542

  Door  

Community   683                     742                   491                     420             374

  Events

A Chi-square test for goodness of fit will be used to determine whether the types of cookies purchased by the customers depends on where the scouts sell them.

The hypothesis can be defined as:

H₀: The observed frequencies are same as the expected frequencies.

Hₐ: The observed frequencies are not same as the expected frequencies.

The test statistic is given as follows:

[tex]\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}[/tex]

The formula to compute the expected frequency is:

[tex]E_{i}=\frac{i^{th}\ \text{Row Total}\times i^{th}\ \text{Column Total}}{N}[/tex]

Consider the Excel output for the expected frequency values.

The Chi-square test statistic value is:

[tex]\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}=56.788[/tex]

The degrees of freedom is:

df = (r - 1)(c - 1)

   = (3 - 1)(5 - 1)

   = 2 × 4

   = 8

The p-value is:

[tex]P(\chi^{2}_{8}>56.788)<0.00001[/tex]

*Use a Chi-square table.

The p-value of the test is very small.

The null hypothesis will be rejected at 1% level of significance.

Conclusion:

There is enough evidence to support the claim that the types of cookies purchased by the customers depends on where the scouts sell them.

Answer:

Option D : "he percent of increase of respiratory illnesses per year"

Step-by-step explanation:

Since you want to show how the respiratory illnesses increase over the last 15 years, then plot  a graph that shows such increase year by year.

Answer:

  3583 million acres

Step-by-step explanation:

If 19% is federally owned, then 81% is not.

  0.81 × 4423 million acres = 3583 million acres

that are not federally owned.

_____

This is a typo or refers to some country other than the US. The largest US state (Alaska) is about 425 million acres.

Answer: x=20.5

Step-by-step explanation:

Given

4x-17=65

Add 17 on both sides (addition property of equality)

4x-17+17=65+17

4x=82

Divide 4 on both sides (division property of equality)

4/4x=82/4

x=20.5

Hope this helps!! :)

Please let me know if you have any question

Answer:

x = 20.5

Step-by-step explanation:

4x - 17 = 65

4x = 65 + 17

x = 82 ÷ 4

x = 20.5

Hope it helps.

Answer:

3kg = 3000 gm

Step-by-step explanation:

we use this formula

m1x (distance of m1 )= m2 x( distance of m2)

* the distance far from the triangle*

m1 =6 kg

d1 = 3m

m2 = ê (kg )

d2 = 600 cm = 6 m

m1 d1 = m2 d2

6 x 3 = ê 6

ê = 3 kg

mass = 3kg = 3000 gram

#

To make the scale balance, the weight must be added is 3000g.

"A balanced equation is an equation where both sides are equal to the same amount. The answer to the expression on the left side of the equals sign (=) should be equal to the value on the right side of the equals sign".

For the given situation,

From the diagram shown, the distance on both sides of the fulcrum (the triangle) must be the same to make the scale balance.

We know that

1 kg = 1000 g

1 m = 100 cm

Let the unknown quantity be 'x'

To write a balanced equation, units should be the same on both sides.

6 kg = 6000 g

3 m = 300 cm.

The equation is represented as

[tex]6000[/tex] × [tex]300 = x[/tex] × [tex]600[/tex]

⇒ [tex]x = \frac{(6000)(300)}{600}[/tex]

⇒ [tex]x=3000[/tex]

Hence we can conclude that to make the scale balance, the weight must be added is 3000g.

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