Need help with just two thank you

Answer: The first step would be to divide both sides by 5/6 to isolate x.

Answer:

Your answer is: x = 7/10

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Step-by-step explanation:

Hope this helped : )

We cannot conclude that the type of tag and penguin survival are not independent of one another for this smaller sample size.

a) The expected 2x2 table would look like this:

|            | Metal Tag | Electronic Tag |
|------------|-----------|----------------|
| Survived   | 483.637   | 456.363        |
| Not Survived | 473.363   | 569.637        |

The observed data is not consistent with the assumption of independence, as the observed values are different from the expected values. To carry out a chi-squared test, we need to calculate the chi-squared statistic:

X^2 = (957-483.637)^2/483.637 + (540-456.363)^2/456.363 + (301-473.363)^2/473.363 + (185-569.637)^2/569.637 = 237.525

The degrees of freedom for this test are (2-1)(2-1) = 1. Using a chi-squared distribution table, we can find the p-value for this test. The p-value is less than 0.001, which is very small. This means that the observed data is very unlikely to have occurred by chance if the assumption of independence is true. Therefore, we can reject the null hypothesis that the type of tag and penguin survival are independent of one another.

b) If the null hypothesis specified the probability of survival and the probability of a penguin wearing a metal tag, then the expected values in the 2x2 table would change. The new expected values would be:

|            | Metal Tag | Electronic Tag |
|------------|-----------|----------------|
| Survived   | 609.711   | 330.289        |
| Not Survived | 347.289   | 695.711        |

The chi-squared statistic would also change:

X^2 = (957-609.711)^2/609.711 + (540-330.289)^2/330.289 + (301-347.289)^2/347.289 + (185-695.711)^2/695.711 = 444.787

The p-value for this test would still be less than 0.001, so we would still reject the null hypothesis that the type of tag and penguin survival are independent of one another.

c) With a smaller sample size, the chi-squared test may not be appropriate. The expected values in the 2x2 table would be very small, and the chi-squared statistic may not follow a chi-squared distribution. Instead, we could use a Fisher's exact test to address the question of independence between survival and tag type. The null hypothesis for this test is that the type of tag and penguin survival are independent of one another. The alternative hypothesis is that the type of tag and penguin survival are not independent of one another. The p-value for this test is 0.657, which is not small enough to reject the null hypothesis. Therefore, we cannot conclude that the type of tag and penguin survival are not independent of one another for this smaller sample size.

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Answer: x= -5

Step-by-step explanation:

These steps are the same for solving all equations with one variable.

So the value of the vector product 3C . (2A × B) = 1242.

Given that the vectors are,

A = 4 i + 3 j - 3 k

B = - 3 i + 2 j + 4 k

C = 8 i - 9 j

So, now calculating the required we get,

2A = 2 (4 i + 3 j - 3 k) = 8 i + 6 j - 6 k

3C = 3 (8 i - 9 j) = 24 i - 27 j

So, cross product is given by,

2A × B

= \(\left[\begin{array}{ccc}i&j&k\\8&6&-6\\-3&2&4\end{array}\right]\)

= [(6) (4) - (2) (- 6)] i - [(8) (4) - (- 3) (- 6)] j + [(8) (2) - (- 3) (6)] k

= [24 + 12] i - [32 - 18] j + [16 + 18] k

= 36 i - 14 j + 34 k

So the dot product is given by

3C . (2A × B) = (24 i - 27 j) . (36 i - 14 j + 34 k ) = 24 * 36 + (- 27) * (- 14) = 1242

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The question is not clear. The clear question will be -

"For the following three vectors, what is 3⋅C⋅(2A × B)?

A=4.00i+3.00j−3.00k; B=−3.00i+2.00j+4.00k; C=8.00i−9.00 j"

Answer:

- 25/13

Step-by-step explanation:

4+9x+26= -4x+5

30+9x= -4+5

9x+4x= 5-30

13x= -25

x=-25/13

The actual height of the tower is 160 feet.

Given that, a scale model of a tower is 24 inches.

The scale is 1.5 inches:10 feet.

We know that, 1 foot = 12 inches

So, the scale 1.5 inches : 120 inches.

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

1.5/120 = 24/The actual height of the tower

1.5×The actual height of the tower = 24×120

The actual height of the tower=2880/1.5

= 1920 inches

In feet = 1920/12

= 160 feet

Therefore, the actual height of the tower is 160 feet.

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Answer: a, b, d, e

Step-by-step explanation: just got it right on edge 2021

Answer:

a,b,d,e

Step-by-step explanation:

Therefore, \(-3/4 + 1 1/8 = 11/8\) or\(1 3/8\) as a mixed number in simplest form.

A fraction is a way of representing a part of a whole or a quantity that is not a whole number. It is expressed in the form of a numerator and a denominator separated by a line, called a fraction bar or a vinculum. The numerator is the top number in a fraction, and the denominator is the bottom number. The numerator represents the number of equal parts of a whole, and the denominator represents the total number of equal parts into which the whole is divided. For example, the fraction 3/4 represents three equal parts of a whole that is divided into four equal parts. Fractions can be used in many mathematical operations, such as addition, subtraction, multiplication, and division, and are an essential concept in mathematics.

Find \(-3/4+1 1/8\). Express your answer as a fraction or mixed number in simplest form.

To add -3/4 and 1 1/8, we first need to convert the mixed number to an improper fraction:

\(1 1/8 = 8/8 + 1/8 = 1 + 1/8 = 8/8 + 8/8 + 1/8 = 16/8 + 1/8 = 17/8\)

Now we can add the two fractions:

\(-3/4 + 17/8\)

To add these fractions, we need to find a common denominator, which is the least common multiple of the denominators 4 and 8, which is 8. We can convert -3/4 to an equivalent fraction with denominator 8 by multiplying the numerator and denominator by 2:

\(-3/4 = -6/8\)

Now we can add the two fractions:

\(-6/8 + 17/8 = 11/8\)

Therefore,\(-3/4 + 1 1/8 = 11/8 or 1 3/8\) as a mixed number in simplest form.

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Answer:

The answer would be 4

Step-by-step explanation:

you can’t have repeating numbers in a function.

Check the picture below.

\(sin(35^o)=\cfrac{\stackrel{opposite}{12}}{\underset{hypotenuse}{BD}}\implies BD=\cfrac{12}{sin(35^o)} \\\\[-0.35em] ~\dotfill\\\\ \textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\)

\(\cfrac{sin(52^o)}{BD}=\cfrac{sin(102^o)}{CD}\implies CD=\cfrac{BD\cdot sin(102^o)}{sin(52^o)} \\\\\\ CD=\cfrac{\frac{12}{sin(35^o)}\cdot sin(102^o)}{sin(52^o)}\implies CD=\cfrac{12\cdot sin(102^o)}{sin(35^o)\cdot sin(52^o)}\implies CD\approx 26.0\)

Answer:

Step-by-step explanation:

I assume that you mean c squared o+ 1/2, but without brackets, there are all sorts of possibilities.  I'll do the one I think it is first.

c^2 + a

9^2 + 1/2

81 + 1/2

81.5

But it could also be

2* 9 + 1/2

18 1/2

18.5

And to make things worse, it could be

9^( 2 + 1/2)

9^(2.5)

243

The child tickets were sold that day is 82.

Given the cost of child admission $6.30 and the cost of adult admission $9.80 and on Wednesday 144 tickets were sold for a total sales of $1124.20.

Let the child tickets are x and adult tickets are y.

On Monday, 144 tickets were sold for a total sales.

x+y=144              ........(1)

Total sales = $1124.20

Need to find the child tickets sold on Wednesday.

Total sales = 6.30x+9.80y

Total sales = $1124.20

So,6.30x+9.80y=1124.20                        .......(2)

Find the value of y from equation (1), we get

x+y-x=144-x

y=144-x

Now, we will substitute the value of y in equation (2) to find the value of x, we get

6.30x+9.80(144-x)=1124.20

Apply the distributive property that is a(b+c)=ab+ac, we get

6.30x+9.80×144-9.80x=1124.20

6.30x+1411.2-9.80x=1124.20

Combine the variable terms on left side, we get

1411.2-3.5x=1124.20

subtract 1411.2 from both sides, we get

1411.2-3.5x-1411.2=1124.20-1411.2

-3.5x=-287

Divide both sides with -3.5x, we get

-3.5x/(-3.5)=-287/(-3.5)

x=82

Therefore, 82 child tickets were sold on Wednesday when cost of child admission $6.30 and the cost of adult admission $9.80.

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We are asked that how could we determine the number of feet per second a squirrel can run?

Recall that rate (also known as speed) is given by

Where d is the distance in feet.

t is

Answer:

Step-by-step explanation:

Lauren is incorrect. The error occurred when she factored the quadratic equation. Instead of writing (x - 1)(x + 2) = 0, it should have been (x + 1)(x - 2) = 0. This would give the correct solutions of x = -1 or x = 2, which is what Michael found.

Received message. Lauren is incorrect. The error occurred when she factored the quadratic equation. Instead of writing (x - 1)(x + 2) = 0, it should have been (x + 1)(x - 2) = 0. This would give the correct solutions of x = -1 or x = 2, which is what Michael found.

Michael is incorrect to solve the problem as, the solution is x = 1 or x = 2.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Lauren and Michael were working on the same math problem.

Here, The equation is,

⇒ x² + x - 2 = 0

Solve as;

⇒ x² + 2x - x - 2 = 0

⇒ x (x + 2) - 1 (x + 2) = 0

⇒ (x - 1) (x + 2) = 0

⇒ x = 1 or x = - 2

Thus,. Michael is incorrect to solve the problem as, the solution is x = 1 or x = 2.

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Answer:

4x - y = 9

Step-by-step explanation:

Line is passing through the points (3, 3) & (0, -9)

slope of line (m)= (-9-3)/(0 - 3) = -12/(-3) = 4

y-intercept (b) = -9

Equation of line in slope-intercept form is given as:

y = mx + b

Plugging the values of m and b in the above equation, we find:

y = 4x + (-9)

y = 4x - 9

-> 4x - y = 9

Answer:

2 and -4 :) because -2×4=-8, and 4+(-2)=2. Solve x-2=0 and x+4=0, you get the answer I previously mentioned!

well,  the hypotenuse is always a positive value, since it's just the distance from the center to the arc in a circle or between two points, so is never negative, hmmm we know the sine is -1/5, and we also know the cosine is >0, which is another way to say is positive, hmmm let's use that, keeping in mind that the sine is negative and the cosine positive only in the IV Quadrant.

\(sin(\theta )=\cfrac{\stackrel{opposite}{-1}}{\underset{hypotenuse}{5}}\impliedby \qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}\)

\(\pm\sqrt{5^2 - (-1)^2}=a\implies \pm\sqrt{24}=a\implies \stackrel{IV~Quadrant}{+\sqrt{24}=a} \\\\[-0.35em] ~\dotfill\\\\ cot(\theta )=\cfrac{\stackrel{adjacent}{\sqrt{24}}}{\underset{opposite}{-1}}\implies cot(\theta )=-\sqrt{24}\)

Let's start with finding the derivative of z with respect to x.

\(We know that:  $z = x^2y$Differentiate both sides with respect to x.\)

\(We will get:  $dz/dx = 2xy + x^2(dy/dx)$  --- (1)\)

The differential of the quantity (3.01)²(8.02) can be expressed as d(3.01)²(8.02) and can be calculated as follows:

\(We know that the derivative of $x^n$ with respect to x is $nx^{n-1}$.$\frac{d}{dx}(3.01)^2\) =\(2(3.01) = 6.02$ $\frac{d}{dx}(8.02) = 0$d(3.01)²(8.02) = 2(3.01)(0) + $(3.01)^2(0)$ + $(6.02)(8.02)$= $48.4084$\)

\(Now, putting this value in equation (1) we have, $dz/dx = 2xy + x^2(dy/dx)$ $= 2(3.01)(8.02) + (3.01)^2(0)$ $= 48.4084$\)

\(Therefore, the value of dz for the quantity (3.01)²(8.02) is approximately equal to 48.4084.\)

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Given the function z = x²y and the values of x and y as (3.01)² and 8.02 respectively.

To find dz for the given values we need to apply the differentials formula: Therefore, dz for the quantity (3.01)²(8.02) is approximately 3.8624.

dz = (∂z/∂x)dx + (∂z/∂y)dy

First find the partial derivative ∂z/∂x:

To find the partial derivative ∂z/∂x, consider y as a constant∂z/∂x = 2xy

Differentiate z with respect to x keeping y constant.

∂z/∂x = d/dx(x²y) = 2xy

So, (∂z/∂x) = 2xy

= 2(3.01)²(8.02)

= 193.296800000000002,

where

x = 3.01² and

y = 8.02.

Now find the partial derivative ∂z/∂y:

To find the partial derivative ∂z/∂y, consider x as a constant.

∂z/∂y = x²

Differentiate z with respect to y keeping x constant.

∂z/∂y = d/dy(x²y) = x²

So, (∂z/∂y) = x²

= (3.01)²

= 9.0601,

where x = 3.01² and y = 8.02.

Substitute the values of (∂z/∂x), (∂z/∂y), dx, and dy into the differential formula.

dz = (∂z/∂x)dx + (∂z/∂y)dy

= 193.296800000000002(0.02) + 9.0601(-0.02)≈ 3.8624

Therefore, dz for the quantity (3.01)²(8.02) is approximately 3.8624.

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Answer:

1. x=a+b

2.k=-1/3m

3.b=1/2d+9/2

4.???

5.y=3h

6.-5/7+3/7d

7.5-7/2a

8.1/5w-4x

Step-by-step explanation:

hope this helps

Answer:

where are the number lines ??

Step-by-step explanation:

a) The family should expect to sell the property for: $19,026.90.

b) The family should expect to sell the property for: $670,432.

The rate of change for each case is a percentage, hence exponential functions are used to model each situation.

For item a, the function has an initial value of 29000 and decays 10% a year, hence the value after x years is given as follows:

y = 29000(0.9)^x.

In the 4th year, the value is given as follows:

y = 29000 x (0.9)^4

y = $19,026.90.

For item b, the function has an initial value of 435500 and increases 4% a year, hence hence the value after x years is given as follows:

y = 435500(1.04)^x.

Then the value in 11 years is given as follows:

y = 435500(1.04)^11

y = $670,432.

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Answer:

x

=

12

Explanation:

Move the variable to one side, and the constant to the other, to get

2

x

=

24

Then, divide both sides by 2 to get

x

=

12

Step-by-step explanation:

Answer:

x  =  3 &  −

12

Step-by-step explanation:

Find all solutions for  x  by breaking the absolute value into the positive and negative components.

Let's solve your equation step-by-step.

|2x+9|=15  Solve Absolute Value.

|2x+9|=15

We know either 2x + 9 = 15 or 2x + 9 = −15

2x + 9 = 15(Possibility 1)

2x + 9 − 9 = 15 − 9(Subtract 9 from both sides)

2x=6  (Divide both sides by 2)

x=3  

2x + 9 = −15(Possibility 2)

2x + 9 − 9 = −15 − 9(Subtract 9 from both sides)

2x=−24  (Divide both sides by 2)

x=−12

Answer:

x=3 or x=−12

The disadvantage of buying "used-car" from "private-seller" is : (a) It can be expensive than dealership can offer, (b) It may have problems seller did not disclose, (c) It does not come with warranty, the correct option is (d) All the above.

Option (a) : It may be more expensive than a dealership can offer: Private sellers may price their used-cars higher than what a dealership can offer. Dealerships often have the advantage of bulk purchasing, negotiation power, and the ability to offer financing options that can make their prices more competitive.

Option (b) : It may have problems the seller did not disclose: When buying from a private seller, there is a risk that the seller may not disclose all the problems or issues with the vehicle.

Option (c) : It does not come with a warranty: Unlike buying from a dealership, where used cars often come with warranties or extended warranty options, purchasing from a private seller does not include any warranty coverage. This means that if any mechanical problems arise after purchase, the buyer will be responsible for repair costs.

Therefore, the correct option is (d).

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The given question is incomplete, the complete question is

One potential disadvantage to buying a used car from a private seller is:

(a) It may be more expensive than a dealership can offer

(b) It may have problems the seller did not disclose

(c) It does not come with a warranty

(d) All the above

Permutation: A permutation is an act of arranging objects or numbers in order.

P(n, r) = (n−r)!/n!

​Combination: Combinations are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.
C(n,r)=( n/ r )= n! / r!(n−r)!

with n!=n⋅(n−1)⋅...⋅2⋅1.

We want to select 4 of the 11 pizzas to be in the top 4.

n = 11

r = 4

The order of the pizzas matters, because a different order results in different rankings within the top 5, and thus we should use the definition of permutation.

P(11 , 4) = 11! / (11-4)!

P(11 , 4) = 11! / 7! = 7920

Thus there are 7920 different possible rankings.

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Answer: To find the explicit formula for the geometric sequence with the recursive formula an = 2an-1 and a1 = 1/8, we can use the following steps:

First, we can write out the first few terms of the sequence using the recursive formula:

a1 = 1/8

a2 = 2a1 = 2/8 = 1/4

a3 = 2a2 = 2/4 = 1/2

a4 = 2a3 = 2/2 = 1

a5 = 2a4 = 2

We can see that the common ratio between any two consecutive terms is 2, so we can write:

a2/a1 = 2

a3/a2 = 2

a4/a3 = 2

a5/a4 = 2

In general, we can write the ratio of any two consecutive terms as:

an/an-1 = 2

We can use this to find an expression for an in terms of a1:

a2/a1 = 2

a2 = 2a1

a3/a2 = 2

a3 = 2a2 = 2(2a1) = 4a1

a4/a3 = 2

a4 = 2a3 = 2(4a1) = 8a1

a5/a4 = 2

a5 = 2a4 = 2(8a1) = 16a1

In general, we can write:

an = 2^(n-1) * a1

Substituting a1 = 1/8, we get:

an = 2^(n-1) * (1/8) = 1/(2^(8-n))

Therefore, the explicit formula for the geometric sequence is:

an = 1/(2^(8-n))

Step-by-step explanation:

Answer:

18.6 cm²

Step-by-step explanation:

99/7 + 9/2

= 18.6 cm²

Answer:

Step-by-step explanation:

law of sines is :   Sin(A) / a = Sin(C) / c

where A=35

a = BC

C=50

c=20

Sin(35) / a = Sin(50) /  20

0.5735764 / a = 0.76604444 / 20

0.5735764 / a = 0.03830222

0.5735764 / 0.03830222 = a

14.975 = a

BC = 15.0

The percentage of people who filed their taxes during the week of tax day is 10%

I can estimate how many people filed their taxes during the week of April 15th using a percentage of 100 is a/b * 100.

A percentage is a portion of a sum divided into 100 equal parts.

Calculate (Number of persons who submitted their taxes during the week of April 15th / total people who filed their taxes that year) times 100 to get the percentage of people who filed during that week.

Let :

a represents the total number of taxpayers during the week of April 15th.

b represents the total number of taxpayers for that year.

The original equation is reduced to

a/b× 100

As an illustration, 100 individuals submitted their taxes the week of April 15th and

Let's say that year, 1000 persons filed their taxes.

= 100/1000 = 10%

Thus, 10% of Americans submitted their taxes during the week of April 15th, or 100 out of 1,000.

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Answer:

c

Step-by-step explanation:

took test & got it right

Answer:

it is C-192 in2

Step-by-step explanation:

I am 100% sure this is correct