Which expression is equivalent to?

Answer:50 penguins it’s right

Answer:

1/5 or 0.2

Step-by-step explanation:

Conversion a mixed number 1 1/ 5

to a improper fraction: 1 1/5 = 1 1/ 5

= 1 · 5 + 1/ 5

= 5 + 1/ 5

= 6/ 5

To find a new numerator:

a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5/ 5

= 5/ 5

b) Add the answer from previous step 5 to the numerator 1. New numerator is 5 + 1 = 6

c) Write a previous answer (new numerator 6) over the denominator 5.

One and one fifth is six fifths

Subtract: 6/ 5

- 2/ 5

= 6 - 2/ 5

= 4/ 5

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 5) = 5. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 5 = 25. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - six fifths minus two fifths = four fifths.

Multiple: the result of step No. 2 * (-3/ 4

) = 4/ 5

* (-3/ 4

) = 4 · (-3)/ 5 · 4

= -12/ 20

= -3 · 4/ 5 · 4

= -3/ 5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-12, 20) = 4. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - four fifths multiplied by minus three quarters = minus three fifths.

Multiple: the result of step No. 3 * 3 = -3/ 5

* 3 = -3 · 3/ 5 · 1

= -9/ 5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-9, 5) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - minus three fifths multiplied by three = minus nine fifths.

Divide: the result of step No. 4 : (-9) = -9/ 5

: (-9) = -9/ 5

· -1/ 9

= -9 · (-1)/ 5 · 9

= 9/ 45

= 9 · 1/ 9 · 5

= 1/ 5

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of -9/ 1

is 1/ -9

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 9 gives 1/ 5

.

In other words - minus nine fifths divided by minus nine = one fifth.

Answer:m is greater than or equal to 1/2

Step-by-step explanation:

Answer:

30 in each bag

Step-by-step explanation:

Answer:

The cyclist can travel 0.9 miles in 2 minutes.

Step-by-step explanation:

1 hour = 60 minutes

Set up a conversion equation:

27 mi/1 hr × 1hr/60 mins

It is easier to see when writing it on paper, but the fractions are set up in a way to cancel the units out until the only units left are miles and minutes

After multiplying the numerators together and then multiplying the denominators together, you should reach the answer:

27 mi/60 mins

The cyclist can travel 27 miles in 60 minutes, but how many miles can he travel in 2 minutes?

Set up an equation:

Variable x = number of miles

27 mi/60 mins = x/2 mins

Cross multiply

27 × 2 = 60 × x

54 = 60x

Divide both sides by 60

0.9 = x

We are asked to find an equivalent amount to 100 USD in french francs. Acording to the table, on tuesday, a dollar costs 4.3450 french francs, then we can find how many francs we got by multiplying 100 USD and 4.345, then we get:

Francs = 100×4.3450 = 434.50

Then, the answer is 434.5 french francs

Answer:

35742

Step-by-step explanation:

Answer:

9.8cm

Step-by-step explanation:

The pythagorean theorem states that, for right triangles, \(a^{2}+b^{2} =c^{2}\). Using this equation, we can solve for the hypotenuse.

a = 9cm

b = 4cm

c = hypotenuse

9^2 + 4^2 =c^2

81 + 16 = c^2

\(\sqrt{97} =c\)

9.8 = c

Answer:

To find the value of a4, we need to use the recursive formula for the sequence. The formula gives us the nth term in the sequence in terms of the (n-1)th term.

We are given that a1 = -7, so we can use the recursive formula to find a2, a3, and a4:

a2 = a1 - 4 = -7 - 4 = -11

a3 = a2 - 4 = -11 - 4 = -15

a4 = a3 - 4 = -15 - 4 = -19

Therefore, the value of a4 is -19.

The influence of a small alpha level in the context of hypothesis testing is:

c. A small alpha level reduces the likelihood of a Type I error.

A hypothesis known as the null hypothesis states that sample observations are the result of chance.

The correct statement regarding the influence of a small alpha level in the context of hypothesis testing is:

c. A small alpha level reduces the likelihood of a Type I error.

A small alpha level (typically denoted as α) is the significance level used in hypothesis testing to determine the threshold for rejecting the null hypothesis. By setting a small alpha level, such as 0.01 or 0.05, we are reducing the probability of making a Type I error, which is the incorrect rejection of a true null hypothesis.

In other words, a small alpha level provides a stricter criterion for rejecting the null hypothesis, making it less likely to reject the null hypothesis when it is true. This reduces the likelihood of claiming a significant result when there is no true effect or relationship in the population.

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Answer:

observations and quadratic formula

To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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Answer:

? = 40°

Step-by-step explanation:

100° = 60° + ? (The exterior angle property of triangles)

100° - 60° = ? (By the law of transposition)

40° = ?

If my answer helped, kindly mark me as the brainliest!

Thank You!

Answer:

the missing angle is 40

Step-by-step explanation:

let the missing angle be x

then x+ 60 = 100 using (exterior angle property)

so x= 100-60 which is equal to 40.  

hope this helps u buddy..

Answer:

its addittion cus ur adding 73

Step-by-step explanation:

just got taught this in clas

Step-by-step explanation:

Solution:Total length of the board=95 cm

:One piece must longer 13 cm than other piece

Equation:95cm=X+X+13cm

:95cm-13cm=2x

:82cm=2x

:X=41 cm-Length of the smaller piece

:X=41cm +13cm=54cm-Length of the larger piece

Therefore the length of the smaller piece is 41cm and the length of the larger piece is 54cm.

Answer: -23

Step-by-step explanation:

Essentially this question is asking you what happens if x = -3 in the equation. If you were to plug x = - 3 you would get:

(-3)/3 + 5(-3) -7

= -1 + -15 - 7

= -23

Answer:

To find the equation of the tangent line to the curve y = x^2 Arccos(3x) at x = 0.2, we need to find the slope of the tangent line at that point and then use the point-slope form of the equation of a line.

First, we find the derivative of y with respect to x:

dy/dx = 2x Arccos(3x) - x^2 / sqrt(1 - (3x)^2)

Next, we evaluate the derivative at x = 0.2 to find the slope of the tangent line at that point:

dy/dx | x=0.2 = 2(0.2) Arccos(3(0.2)) - (0.2)^2 / sqrt(1 - (3(0.2))^2)

dy/dx | x=0.2 = 0.6865

So the slope of the tangent line at x = 0.2 is approximately 0.6865.

Now we can use the point-slope form of the equation of a line to find the equation of the tangent line. We know that the line passes through the point (0.2, 0.04 Arccos(0.6)), so we have:

y - y1 = m(x - x1)

y - 0.04 Arccos(0.6) = 0.6865(x - 0.2)

Simplifying and rearranging, we get:

y = 0.6865x - 0.1261

Therefore, the equation of the tangent line to the curve y = x^2 Arccos(3x) at x = 0.2 is y = 0.6865x - 0.1261.

The equation of the tangent line to the curve y = x^2 Arccos(3x) at x = 0.2 is approximately y = 0.653x - 0.113.

To find the equation of the tangent line to the curve at x = 0.2, we need to find the slope of the tangent line at that point, and then use the point-slope form of a line to write the equation.

First, we need to find the derivative of the curve:

y = x^2 Arccos(3x)

Taking the derivative with respect to x:

y' = 2x Arccos(3x) - x^2 (1/sqrt(1 - 9x^2))

Now, we can evaluate y' at x = 0.2 to find the slope of the tangent line at that point:

y'(0.2) = 2(0.2) Arccos(3(0.2)) - (0.2)^2 (1/sqrt(1 - 9(0.2)^2))

≈ 0.653

So the slope of the tangent line at x = 0.2 is approximately 0.653.

Next, we need to find the y-coordinate of the point on the curve where x = 0.2:

y = (0.2)^2 Arccos(3(0.2))

≈ 0.012

So the point on the curve where x = 0.2 is (0.2, 0.012).

Now we can use the point-slope form of a line to write the equation of the tangent line:

y - y1 = m(x - x1)

where m is the slope we just found, and (x1, y1) is the point on the curve where x = 0.2.

Substituting in the values we found:

y - 0.012 = 0.653(x - 0.2)

Simplifying:

y = 0.653x - 0.113

So the equation of the tangent line to the curve y = x^2 Arccos(3x) at x = 0.2 is approximately y = 0.653x - 0.113.

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Answers: A, A, A

1)A rectangle has an area of 405 cm square and width of 15 cm. The length of the rectangle is: 27 cm

15cmx 27cm= 405 cm

2)The x- and y- intercepts of the graph of the line 5x - 3y - 15 = 0 are, respectively: 3 and 5

(I don't really know how to explain this.......)

3)The expression that simplifies to 11x + 2y is: 4x+3y+7x-y

 4x+7x=11x

  3y-y = 2y

Therefore, it will equal to 11x+2y.

I really hope this helps!

Please Mark Me Brainliest!!!

(I'm in 5th Grade Honors but I learn MS)

Answer:

All the answer are A

Step-by-step explanation:

Area = length times width

405 = x15  Divide both sides by 15

27 = x

For the x intercept  Let y = o and solve for x

5x - 3y -15 = 0

5x - 3(0) -15 = 0

5x -15 = 0  Add 15 to both sides of the equation

5x = 15  Divide both sides by 5

x = 3

The x intercept is (3,0)

For the y intercept Let x = 0 and sole for y

5x -3y -15 = 0

-3y -15 = 0  Add 15 to both sides of the equation

-3y = 15  Divide both sides by -3

y = -5

The y intercept is (0,-5)

4x + 3y + 7x - y  Combine the like terms

(4x + 7x) = (3y -y)

11x + 2y

The trigonometric identity, (sec(x) ÷ cos(x)) - (tan(x) ÷ cot(x)) is equivalent to the Pythagorean identity sec²(x) - tan²(x) = 1, therefore;

(sec(x) ÷ cos(x)) - (tan(x) ÷ cot(x)) = sec²(x) - tan²(x) = 1

A trigonometric identity is an equation involving trigonometric ratio which is correct for possible values of the input variables.

The specified trigonometric identities can be presented as follows;

sec(x) ÷ cos(x) - tan(x) ÷ cot(x) = 1

cos(x) = 1/sec(x)

tan(x) = 1/cot(x)

cot(x) = 1/tan(x)

Therefore; sec(x) ÷ cos(x) - tan(x) ÷ cot(x) = sec(x) ÷ (1/sec(x)) - tan(x) ÷ (1/tan(x)) = 1

Therefore;

sec(x) ÷ cos(x) - tan(x) ÷ cot(x) = sec²(x) - tan²(x)

The Pythagorean identities, indicates that we get;

sec²(x) - tan²(x) = 1

Therefore; sec(x) ÷ cos(x) - tan(x) ÷ cot(x) = sec²(x) - tan²(x) = 1

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The cost of each large smoothie (y) is $7.

To find the cost of a small smoothie (x) and the cost of a large smoothie (y), we can set up a system of equations based on the given information.

Let's denote the cost of a small smoothie as x and the cost of a large smoothie as y.

We can establish two equations:

Equation 1: 10y + 5x = 65 (The girls soccer team paid $65 for 10 large smoothies and 5 small smoothies.)

Equation 2: 14y + 3x = 77 (The boys soccer team paid $77 for 14 large smoothies and 3 small smoothies.)

To solve this system of equations, we can use various methods such as substitution or elimination.

Let's solve it using the elimination method:

Multiply Equation 1 by 2 to eliminate the x term:

20y + 10x = 130

Now we have:

20y + 10x = 130

14y + 3x = 77

Subtracting Equation 2 from Equation 1, we get:

(20y + 10x) - (14y + 3x) = 130 - 77

6y + 7x = 53

We now have two equations:

6y + 7x = 53

14y + 3x = 77

Solving this system of equations will give us the values of x and y, representing the cost of a small smoothie and a large smoothie, respectively.

To find the cost of each large smoothie, we can substitute the value of y back into either of the original equations.

Let's use Equation 1:

10y + 5x = 65

10(3) + 5x = 65 (substituting y = 3)

30 + 5x = 65

5x = 65 - 30

5x = 35

x = 35/5

x = 7

The cost of each large smoothie (y) is $7.

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Answer:

10

Step-by-step explanation:

first, subtract 350 and 150 to get 200. then divide 200 by 20 to get the maximum amount of people, which leads to 10 people. hope this helps

Answer:

10

Step-by-step explanation:

350-150=200

200÷20=10

Answer:

30,40,50

Step-by-step explanation:

We use the Pythagorean theorem to find out if they would be sides of a right triangle

the Pythagorean theorem states that the two shorter sides squared added together equal the longest side square

for 30, 40 , 50

\(30^2=900\\40^2=1600\\1600+900=2500\\50^2=2500\\2500=2500\)

2500=2500 therefore that is the correct answer

In step 1 mistake has been made because negative multiplication gives a positive result but is written negative.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

Given that,

−4(6−y) + 4 = −4

By using distribution property

-24 + 4y + 4 = -4

But in the question +4y is written as -4y which is wrong.

Hence In step 1 negative multiplication gives a positive result but is written negative so in step 1 mistake has been made".

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The given question is not complete.

Consider this solution to a problem.

Problem: −4(6−y)+4=−4

Step 1: −24−4y+4=−4

Step 2: −20−4y=−4

Step 3: −4y=16

Step 4: y=−4

In the first response box, enter the number of the step where the mistake is made.

The linear equality for the given graph is x > 0.

Option (B) is correct.

What is linear equality?

In mathematics, a linear inequality is an inequality that involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.

The hollow circle in the linear equality shows that the point should be excluded and the line is going towards the positive x-axis.

So we can prepare the linear equality as

                       x > 0

Hence, the linear equality for the given graph is x > 0.

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(a) The value of the constant c is approximately 0.0238.

(b) P(X=0,Y=3) ≈ 0.0714.

(c) P(X≥ 0,Y≤ 1) ≈ 0.4524.

(d) The given statement "X and Y are not independent" is False.

(a) To find the value of the constant c, we need to use the fact that the sum of the probabilities over all possible values of X and Y must be equal to 1:

∑∑f(x,y) = 1

∑x=0² ∑y=0³ c(2x+y) = 1

c(0+1+2+3+2+3+4+5+4+5+6+7) = 1

c(42) = 1

c = 1/42 = 0.0238

Rounding to 3 decimal points

= 0.024

(b) P(X=0,Y=3) = f(0,3)

= c(2(0)+3)

= 3c

= 3(1/42)

= 0.0714

Rounding to 3 decimal points

= 0.071

(c) P(X≥0,Y≤1) = f(0,0) + f(0,1) + f(1,0) + f(1,1) + f(2,0) + f(2,1)

= c(2(0)+0) + c(2(0)+1) + c(2(1)+0) + c(2(1)+1) + c(2(2)+0) + c(2(2)+1)

= c(1+3+2+4+4+5)

= 19c

= 19(1/42)

= 0.4524

Rounding to 3 decimal points

= 0.452

(d) We can check whether X and Y are independent by verifying if P(X=x,Y=y) = P(X=x)P(Y=y) for all possible values of X and Y. Let's check this for some cases:

P(X=0,Y=0) = f(0,0) = c(2(0)+0) = 0

P(X=0) = f(0,0) + f(0,1) + f(0,2) + f(0,3) = c(0+1+2+3) = 6c

P(Y=0) = f(0,0) + f(1,0) + f(2,0) = c(0+2+4) = 6c

P(X=0)P(Y=0) = 36c²

Since P(X=0,Y=0) ≠ P(X=0)P(Y=0), X and Y are not independent. Therefore, the answer is (C) false

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Given question is incomplete, the complete question is below

The joint probability function of two discrete random variables X and Y is given by f(x; y) =c(2x + y), where x and y can assume all integers such that 0 ≤ x ≤ 2; 0≤ y ≤ 3, and f(x; y) = 0 otherwise.

(a) Find the value of the constant c. Give your answer to three decimal places.

(b) Find P(X=0,Y=3). Give your answer to three decimal places.

(c) Find P(X≥ 0,Y≤ 1). Give your answer to three decimal places.

(d) X and Y are independent random variables.

A - true

B - can't be determined

C - false

The sum of the square of the constants is 3/4

Given the equation \(\frac{1}{a+1} +\frac{1}{b+1} +\frac{1}{c+1} =2\)

The partial form of the equation is given as:

Solve for the constant "a"

\(\frac{1}{a +1} = 2\\a+1 = \frac{1}{2} \\a = \frac{1}{2} - 1\\a =-\frac{1}{2}\)

Hence \(a=b=c=-\frac{1}{2} \\\)

Taking the square of the constant, we will have:

\(a^2 + b^2 + c^2 =(-1/2)^2 +(-1/2)^2+(-1/2)^2\\a^2 + b^2 + c^2 =1/4 + 1/4 + 1/4\\a^2 + b^2 + c^2 =3/4\)

Hence the sum of the square of the constants is 3/4

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Answer -the sum of the square of the consonants is 3/4

Answer:

2

Step-by-step explanation:

3x^2

The coefficient is 3

The variable is x

The exponent is 2

Answer:

6:2

Step-by-step explanation:

Answer:6:2 I hope this is helpful

Step-by-step explanation:

6 apples to 2 mangos is 6:2