Por un kilo y medio de merluza se ha pagado 21,30 €. A cuanto estaba el kilo?

Answer:

(5√2) / 2

Step-by-step explanation:

Multiply  

(5 / √2) * (√2 / √2) = (5√2) / 2

hope this will help you

good luck

The derivative of the function f(x) = x^2 - 3x + 3 at the number a is f'(a) = 2a - 3.

To find the derivative of the function f(x) = x^2 - 3x + 3 at the number a, we can use the definition of the derivative:

\(f'(a) = lim(h - > 0) [f(a + h) - f(a)] / h\)

Plugging in the function \(f(x) = x^2 - 3x + 3\):

\(f'(a) = lim(h - > 0) [(a + h)^2 - 3(a + h) + 3 - (a^2 - 3a + 3)] / h\)

Expanding and simplifying:

\(f'(a) = lim(h - > 0) [a^2 + 2ah + h^2 - 3a - 3h + 3 - a^2 + 3a - 3] / h\)

Canceling out terms:

\(f'(a) = lim(h - > 0) [2ah + h^2 - 3h] / h\)

Now we can factor out an h from the numerator:

\(f'(a) = lim(h - > 0) h(2a + h - 3) / h\)

Canceling out an h from the numerator and denominator:

\(f'(a) = lim(h - > 0) 2a + h - 3\)

Taking the limit as h approaches 0:

\(f'(a) = 2a - 3\)

Therefore, the derivative of the function f(x) = x^2 - 3x + 3 at the number a is f'(a) = 2a - 3.

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Answer:

6x-2

Step-by-step explanation:

Celia’s simplified expression:

6x - 2.

The last option is  correct.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given Phrase:

Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2).

That means,

-4x(1 -3) - (2x +2).

She checked her work by letting x = 5 in both expressions.

That means,

-4(5)(1 -3) - (2(5) +2).

= 40 - 12

= 28.

To find the simplified expression:

-4x(1 -3) - (2x +2),

= 6x - 2.

Therefore, the required expression is 6x - 2.

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Answer:

B.5

Step-by-step explanation:

6x-2x=7+23-10

4x=20

X =20÷4

X =5

We conclude that less than 30% of teen girls smoke to stay thin.

Let p be the percentage of teen girls who smoke to stay thin.

So, the Null Hypothesis,(\(H_{0}\)):

p≥ 30%

This means that at least 30% of teen girls smoke to stay thin

Alternate Hypothesis,(\(H_{A}\)) :

p < 30%

This means that less than 30% of teen girls smoke to stay thin.

The test statistics that would be used here

One sample z proportion statistics:

T.S = p' - p/ \(\sqrt{p'(1-p')/n}\) ≈N( 0,1)

Here p'= sample percent of teen girls who smoke to stay thin = 63/ 273 = 0.231

n = number of sample of teen girls = 273

Now putting these values we have:

Test statistics = 0.231 - 0.30/ \(\sqrt{0.231( 1- 0.231)/ 273}\)

                      = -2.705

So we get the value of z-test statistics as - 2.705.

As there is not provided in the question that the level of significance so we assume it to be 5%. Now at a 5% significance level, the z table gives the critical value of -1.645 for left- the tailed test.

As test statistics is less than the critical value of z that is -2.705< -1.645. So we reject our null hypothesis as will fall in reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore we get that less than 30% of teen girls smoke to stay thin.

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The slope of the line that passes through the points (-5, 6) and (-9, -6) is 3

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

Let the given points as shown:

(x1,y1)= (-5, 6) and (x2,y2)= (-9, -6)

Slope = m = (y2-y1) /( x2-x1)

                 = (-6-6) /(-9-(-5))

                 = -12/-4

                 = 3

So, the slope of the line that passes through the points (-5, 6) and (-9, -6) is 3

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The Probability of a pregnancy lasting less than 250 days is 0.1151.

Probability: - It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed  from 0 to 1.

Let the length of human pregnancy be denoted by X. We obtain the probability associated with this value by converting it to be standard normal ( z) score and then consulting a Z- table to find the corresponding probability.

P(x< 250) = P( x-μ /σ < 250 - 268 /15)

                = P( z < -1.2)

                = 0.1151

∴ The probability of a pregnancy lasting less than 250 days is 0.1151.

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Answer: 6x

Step-by-step explanation:

so consider x as the number,

twice of x= 2x

2x tripled= 2x*3

               = (2*3)x

               = 6x

Answer:

Not all labels will be used. ... They charge a certain rate for the rental of a sailboat and an additional ... according to the length of time for which the tourists rent the boat.

Answer:

0,375

Step-by-step explanation:

Answer:

0.375

Step-by-step explanation:

a) We fail to reject the null hypothesis at the 5% level of significance. Therefore, the population mean is 8.75

b) We fail to reject the null hypothesis at the 5% level of significance. Therefore, the population mean is 8.75.

The claim about the population mean under the one-tailed alternative hypothesis and two-tailed alternative hypothesis are tested by the z-test statistic. The critical value approach is used to identify the true statement under the null and the alternative hypothesis at the 5% level of significance.

Sample size , n = 20

Sample mean, x(bar) = 9.5

Population standard deviation, σ = 3.5

a) Null hypothesis: \(H_0:\)μ = 8.75

Alternative hypothesis: \(H_a\) μ \(\neq\) 8.75 Two tailed

Level of significance, α = 0.05

Excel function for the critical value:

=NORMINV(0.05/2,0,1)

\(Z_0_._0_5_/_2\) = ± 1.96

The Z-test statistic is defined as:

Z = x(bar) - μ /  σ / \(\sqrt{n}\)

Z = 9.5 - 8.75 / 3.5/\(\sqrt{20}\)

Z = 0.958

The test statistic value is less than the critical value at the 5% level of significance. We fail to reject the null hypothesis at the 5% level of significance. Therefore, the population mean is 8.75.

b)  Null hypothesis: \(H_0:\)μ = 8.75

Alternative hypothesis: \(H_a\) μ \(>\) 8.75 Right tailed

Level of significance, α = 0.05

Excel function for the critical value:

=NORMINV(0.05,0,1)

\(Z_0_._0_5_/_2\)  = + 1.645

The Z-test statistic is defined as:

Z = x(bar) - μ /  σ / \(\sqrt{n}\)

Z = 9.5 - 8.75 / 3.5/\(\sqrt{20}\)

The test statistic value is less than the critical value at the 5% level of significance. We fail to reject the null hypothesis at the 5% level of significance. Therefore, the population mean is 8.75.

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Answer:

A. 20ft

Step-by-step explanation:

Answer:

d. 98.5

Step-by-step explanation:

Triangles:

5 x 4 = 20/2 = 10

Circle:

5² x 3.14 = 78.5

Add both of them 98.5

An isosceles triangle with two long sides and a short bottom side can have infinitely many possible congruent triangles. However, assuming that the two long sides have a fixed length of 1 unit and the length of the short bottom side is less than 1 unit, there are only two possible congruent triangles.

One of the congruent triangles would have angles of approximately 22.62°, 22.62°, and 135.76°, while the other congruent triangle would have angles of approximately 157.38°, 11.25°, and 11.25°. Therefore, the answer to this question depends on the specific length of the short bottom side and the context of the problem.

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The area of the triangle is 59.6\(m^2\)

Now, According to the question:

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.

In the question, Area unit is not mentioned.

But i take the unit in meter.

Now, We have the given data is:

In triangle HPK:

K = 8 m

P = 14.9 m

To find the area of triangle.

We know that :

Area of Triangle is  = 1/2 × b × h.

A  = 1/2 × 8 × 14.9

A = 59.6 \(m^2\)

Hence, The area of the triangle is 59.6

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Answer:

y=x+12

Step-by-step explanation:

y=-x+12; is a line with slope m1=-1

to find perpendicular slope of intersecting line take the negative inverse of m1. so -1*(1/(-1))=1=m2

use equation for a line of y=m*x+b and put in the point (-5,7) and solve for b=the y axis intercept

7=1*(-5)+b

7=-5+b

12=b

so

y=x+12

The probability that someone would not prefer dogs is 0.345.

The probability that someone would not prefer dogs is determined using the formula below:

Probability = {(cat alone) + (neither car nor dog)}/total number of people

those who prefer cats alone (cat alone) = 100

those who prefer neither cats nor dogs (neither car nor dog) = 17

total number of people = 87 + 52 + 100 + 17

total number of people = 256

Probability = 117 / 256 = 0.345

Therefore, the probability that someone would not prefer dogs is 0.345.

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Answer:

MARK AS BRAINLIEST! LOOK AT IMAGE! With Graph!

Answer:

10^x

Step-by-step explanation:

√2^x×5^2x÷2^-x

√2^x×5^2x×2^x

√10^2x

10^x

Answer:

\( {10}^{x} \)

Step-by-step explanation:

\( \sqrt{ {2}^{x} \times {5}^{2x} \div {2}^{ - x} } \\ \\ = \sqrt{ {2}^{x} \times {5}^{2x} \: \times {2}^{x} }\\ \\ = \sqrt{ {2}^{x + x} \times {5}^{2x}}\\ \\ = \sqrt{ {2}^{2x} \times {5}^{2x}}\\ \\ = \sqrt{ {(2 \times 5)}^{2x} }\\ \\ = \sqrt{ {(10)}^{2x} }\\ \\ = {10}^{x} \)

Translate the triangle and then reflect the triangle for the transformation from Triangle LMN to Triangle L'M'N'.

To produce Triangle L'M'N' from Triangle LMN on a coordinate plane, you can apply the following sequence of transformations:
1. Translate Triangle LMN left by 3 units and down by 5 units to obtain points L'(-1, -4), M'(0, -4), N'(0, -2).
2. Reflect Triangle LMN over the y-axis to obtain points L'(-4, -4), M'(-3, -4), N'(-3, -2), which correspond to Triangle L'M'N'.

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Answer:

Here it is :)

Step-by-step explanation:

if this is incorrect, correct me and explain why so you won’t make this mistake I made when you do this on you own!

Answer:

Step-by-step explanation:

-14k-14 Answer

Step-by-step explanation:

5(−3.4k−7)+(3k+21) this is the same as:

(5*-3,4)k-(5*7)+3k+21

-17k-35+3k+21

Grouping terms of k:

(-17+3)k-35+21

-14k-14

Answer:

-14k - 14

Step-by-step explanation:

5(−3.4k − 7) + (3k + 21) =

= -17k - 35 + 3k + 21

= -14k - 14

It's actually not possible to solve this system of equations.

In order to solve for both 'x' and 'y', you need 2 INDEPENDENT equations.  "Independent" means you can't get one of them from the other one.

But in this pair, if you take the second equation, and multiply each side by 3, you get exactly the first equation.  So problem #6 actually gives you only one equation.  If you take either of these and massage it around for a little bit, you get  Y = -1.25x + 1.5 .  For either one.  They're both actually the same equation.

Problem #6 does not define one (X, Y) point.  It defines a line, that crosses the Y-axis at 1.5 and has a slope of -1.25.  EVERY POINT on that line is a solution to the one single equation that they gave you.

Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.

A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.

Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.

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Answer:

\(12 {y}^{6} \)

Step-by-step explanation:

\(2 {y}^{5} \times 6y\)

From the properties of exponent.

\( {y}^{m} \times {y}^{n} = {y}^{m + n} \)

We multiply both terms.

\(2 {y}^{5} \times 6y = 12 {y}^{6} \)

Therefore, the answer is C.

Answer:

None of the options match

Step-by-step explanation:

First let's check option 1: lines 2 and 3.

line 2 in mx+b form: y=-1/16x -5

line 3, already in mx+b form: y=-6x-7

if it was perpendicular, the slopes should have been -1/16 and 16 or -6 and 1/6.

now for the 2nd option: lines 1 and 2.

line 1 in mx+b form: y=-8x-5

line 2 in mx+b form: y=-1/16x-5

Again, the slopes do not match, they should have been -8 and 1/8 or -1/16 and 16.

For the 3rd option: all lines

this is obviously wrong since lines 1, 2 and 2, 3 are not perpendicular themselves. No need to bother checking this option.

Lastly, 1 and 4.

line 1 in mx+b form: y=-8x-5

line 4 --> y+3=18x-18 --> y=18x-21

This is also wrong since the slopes should have been -8 and 1/8 or 18 and -1/18.

To conclude, I think the answer is none. None of the combinations on here are perpendicular anyways...

Answer:

D

Step-by-step explanation:

We have the four lines:

\(\displaystyle\text{Line 1: }y+8x&=-5 \\\\ \text{Line 2: } x+\frac{1}{6}y&=-5\\\\\text{Line 3: } y&=-6x-7 \\\\\text{Line 4: } y+3&=\frac{1}{8}(x-1)\)

Remember that for two lines to be perpendicular, their slopes are negative reciprocals of each other.

So, let’s determine the slope of each line.

For Line 1, we can rewrite our equation as:

\(y=-8x-5\)

So, the slope of Line 1 is -8.

We can rewrite Line 2 as:

\(\displaystyle \begin{aligned} \frac{1}{6}y&=-x-5\\y&=-6x-30\end{aligned}\)

So, the slope of Line 2 is -6.

The slope of Line 3 is also -6.

And the slope of Line 4 is 1/8.

So, the slopes of perpendicular lines must be negative reciprocals.

The negative reciprocal of -8 (slope of Line 1) is 1/8. We multiply by a negative and then take the reciprocal.

Since the slope of Line 4 is 1/8, this means that Lines 1 and 4 are perpendicular.

For Lines 2 and 3, they have the same slope, not negative reciprocals of each other.

So, they will instead of parallel instead of perpendicular.

And Line 1 is perpendicular only to Line 4, and no other line.

Therefore, our answer is D.

Given that (x1, x2, ..., xn) is a sample from a Bernoulli(θ) distribution where θ lies between 0 and 1. We need to show that the following expression equals θ:Σ-1(xi-x)-nx(1-x)where x is the sample mean and xi is the ith observation.Let us begin by simplifying the expression inside the summation.Σ(xi - x) = nxi - nxΣ(x/n) - n(x) = nxi - nx² - nx + nx = n(xi - x²)And, Σ(1 - xi) = n - Σxi = n - nxBy substituting these values, we can simplify the given expression as follows:Σ-1(xi-x)-nx(1-x) = Σ-1(xi - x² + x - nx + nx²) = Σ(1 - xi + x - x²) = n - Σ(xi - x²)Therefore, the expression is simplified to (n - Σ(xi - x²))/n, which is nothing but the sample mean. Hence, the given expression equals θ.Another way to approach this problem is by noticing that Σ(xi - x) = 0 and Σ(xi - x)² = Σ(xi - x)². Thus, by the Cochran's theorem, (n-1)S²/θ ~ χ²(n-1), where S² is the sample variance. Therefore, Σ(xi - x)²/(n-1)S² ~ χ²(n-1)/θ and (n-1)S²/θ ~ χ²(n-1). Hence, θ = (n-1)S²/χ²(n-1), where S² is the sample variance.

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Answer:

x>9/5

Step-by-step explanation:

2/3x-1/5(+1/5)>1(+1/5)

[add 1/5 on both sides]

2/3x (÷3/2)>6/5 (÷3/2)

[flip 2/3 to 3/2 so that they cancel out]

x>9/5

The answer is 60000 because it is only to 1sf

Answer:

60,000

Step-by-step explanation: