Find the temperature that is 3 °C lower than-1 °C

The equality given as x² = -x  is true when x = 0 and x = -1

From the question, the equation is given as

x^2=-x

Rewrite the equation properly as follows

So, we have

x² = -x

Add x to both sides of the equation

So, we have the following equation

x² + x = 0

Factor out x from the equation

This gives

x(x + 1) = 0

So, we have

x = 0 and x + 1 = 0

Solve for x

x = 0 and x = -1

Hence, the equality is true when x = 0 and x = -1

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Answer:

cindy is 51

Step-by-step explanation:

70 divided by 2 is 45

45+ 6 is 51

Answer:

After 17 years, he earned $361.25 in interest.

The total amount after 17 years is $986.25.

Step-by-step explanation:

I = Prt

I = $625 × 3.4% × 17

I = $625 × 0.034 × 17

I = $361.25

After 17 years, he earned $361.25 in interest.

The total amount after 17 years is $986.25.

Answer:

There is no critical point associated with a maximum area of the triangle.

Step-by-step explanation:

From Geometry we understand that the area of the triangle is defined by the following formula:

\(A = \frac{1}{2}\cdot w\cdot h\) (1)

Where:

\(A\) - Area, measured in square yards.

\(w\) - Width, measured in yards.

\(h\) - Height, measured in yards.

From statement the following relationships are known:

\(w = 2\cdot x\) (2)

\(h = 50\cdot x\) (3)

By applying (2) and (3) in (1) we obtain this expression:

\(A = \frac{1}{2}\cdot (2\cdot x)\cdot (50\cdot x)\)

\(A = 50\cdot x^{2}\) (4)

Now we perform First and Second Derivative Test on the resulting expression:

First Derivative Test

\(A' = 100\cdot x\) (5)

\(100\cdot x = 0\)

\(x = 0\,yd\)

\(x = 0\,yd\) is a critical point of (4).

Second Derivative Test

\(A'' = 100\) (6)

The critical point leads to an absolute minimum. According to this analysis, there is no critical values associated to maximum area.

Answer:

14cm

Step-by-step explanation:

Answer:

0.07 cm

Step-by-step explanation:

fghuyeeruojvdswwwqssdguikbvcc

Answer:

x is 12

Step-by-step explanation:

» From scalar properties:

\({ \tt{ \frac{FG}{FH} = \frac{AB}{AC} }} \\ \\ { \tt{ \frac{9}{6} = \frac{18}{x} }} \\ \\ { \tt{x = \frac{18 \times 6}{9} }} \\ \\ { \boxed{ \tt{ \: x = 12 \: }}}\)

Answer:

R = 9

Step-by-step explanation:

The number of years it will take for the guitar to be valued at $768 given the initial value and the rate of depreciation is  4 years.

When an asset deperciates, it means that with the passage of time, the value of the asset declines.

Number of years = (In FV / PV) / r

(In 768 / 1875) / 0.2 = 4 years

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The value of variable  x is 15 and the value of RS is 42 unit.

Two find the value of x and RS, just cut the trapezium from median and fold it to right and adjust such that it becomes a rectangle,

Now we have a rectangle that is VV'RU

With that we have,

RS + UT = VW + VW

RS + UT = 2(VW)

3x-4 + 8x + 5 = 2(5x + 8)

11x + 1 = 10x + 16

11x - 10x =  16 - 1

x =  15

When x = 15 the RS,

= 3x - 4

= 3(15) - 4

= 45 - 4

= 42

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The probability that the mean for this sample is less than $21.50 is approximately 0.2033.

To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means from a population with a known mean and standard deviation is approximately normal, as the sample size gets larger. In this case, we are given the population mean and standard deviation, so we can assume that the sample means are normally distributed.

The formula for the standard error of the mean is

SE = σ/√n

where σ is the population standard deviation, n is the sample size, and SE is the standard error of the mean.

Plugging in the given values, we get

SE = 6/√35 ≈ 1.013

Next, we need to standardize the sample mean using the z-score formula

z = (X - μ) / SE

where X is the sample mean, μ is the population mean, and SE is the standard error of the mean.

Plugging in the given values, we get

z = (21.5 - 22.34) / 1.013 ≈ -0.829

Now, we need to find the probability that a standard normal variable is less than -0.829. Using a standard normal distribution table or calculator, we find that this probability is approximately 0.2033

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There is a significant relationship between the number of cats she owns and the number of times an old widow was married (r = +0.91, p < 0.05, r² = 0.82).

Given, the Pearson correlation coefficient of +0.91,

There appears to be a strong +ve correlation between the number of cats she owns and the number of times an old widow was married.

It suggests that the more times a widow was married,the more cats she tends to own.

Approximately 82% of the variance in the number of cats owned can be explained by the number of times a widow was married is indicated by the coefficient of determination (r²).

Hence, we can say that there is a significant relationship between the number of cats she owns and the number of times an old widow was married (r = +0.91, p < 0.05, r² = 0.82).

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Answer:

it is a whole number, 30. please give me more details if you want it as a mixed number.

Step-by-step explanation:

31+-1 (31-1)= 30

Answer:

35.9 degrees

Step-by-step explanation:

the arctan of 0.724 is 35.9 degrees

Answer:

7:13

Step-by-step explanation:

Answer:

if im thinking correctly ratios can be written in 3 ways

Step-by-step explanation:

so it could be 7/13, 7 to 13, or 7:13

Answer:

\(x=51\textdegree\)

Step-by-step explanation:

\(x=\frac{102}{2}=51\textdegree\)

Monica win 2 games.

In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

According to the question,

First we  look from the perspective of one player.

How many games does this person play? 5.

Now, each or the 6 people in the tournament played 5 games,

SO,  

\(^{6} C_{2} = \frac{6!}{2! * 4!} = \frac{6*5}{2} = 15\)

Therefore,

We know that there were a total of 15 games played.

This means, there were 15 losses, and more importantly, 15 wins.

Not counting Monica, there were:

4 + 3 + 2 + 2 + 2 = 13 wins.

This leaves,

15 − 13 = 2 wins for Monica.

Hence, 2 games won by monica in a tournament.

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Answer:

m∠RST = 20

Step-by-step explanation:

Sine the line SP bisects ∠RST, we know that the two angles that were formed are equal.  Set ∠RSP equal to ∠PST.

∠RSP = ∠PST

3x - 2 = 9x - 26

(3x - 2) + 2 = (9x - 26) + 2

3x = 9x - 24

3x - 9x = (9x - 24) - 9x

-6x = -24

(-6x)/-6 = -24/-6

x = 4

Now that you know the value of x, add ∠RSP and ∠PST.  This will give you m∠RST.

m∠RST = (3x - 2) + (9x - 26)

m∠RST = 3x - 2 + 9x - 26

m∠RST = 12x - 2 - 26

m∠RST = 12x - 28

m∠RST = 12(4) - 28

m∠RST = 48 - 28

m∠RST = 20

A price floor is a law that limits the minimum price at which a good, service, or factor of production can be sold while a price ceiling is a regulation that limits the maximum price at which a good, service, or factor of production can be sold

Price floors are commonly implemented to support producers, while price ceilings are typically put in place to protect consumers from higher prices that might result from shortages or monopolies.

Example of Price Floor:Agricultural subsidies are a common example of price floors. Government price floors ensure that farmers receive a minimum price for their crops.

If the market price of wheat falls below the government-established price floor, the government may buy the excess supply at the guaranteed price, ensuring that farmers are able to make a profit. If there is a price floor, the minimum price is set above the equilibrium price.

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In inferential statistics, the objective is to determine the probability of the alternative hypothesis being true or the null hypothesis being true.

This involves using sample data to make inferences and draw conclusions about a larger population. By analyzing the data and performing statistical tests, we assess the likelihood of the alternative hypothesis or the null hypothesis being accurate.

The alternative hypothesis represents a claim or statement that contradicts the null hypothesis and suggests that there is a significant relationship or difference between variables. To determine its probability, statistical methods such as hypothesis testing and p-values are employed. These methods evaluate the strength of evidence against the null hypothesis and support the alternative hypothesis when the evidence is substantial.

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Answer:

x=5

h = 5 sqrt 2

Step-by-step explanation:

isosceles right triangles are always 45-45-90, ratio of those triangles are always x:x:x*sqrt 2

1. Rewrite without absolute value for the given condition: y = |x−3| + |x+2| − |x−5|, if 3 < x ≤ 5

2. Rewrite without absolute value for the given condition: y = x−5 + |x+5|, if x > 5

3. Rewrite without absolute value for the given condition: y = −x+5 + |x+5|, if x < −5

4. Rewrite without absolute value for the given condition: y = x−5 + x+5, if −5 ≤ x ≤ 5

1. For the condition y = |x−3| + |x+2| − |x−5|, if 3 < x ≤ 5:

  - When x is greater than 3 and less than or equal to 5, the absolute values can be simplified by considering the intervals between the critical points.

  - For x values in the interval (3, 5], the expression |x−3| evaluates to (x−3), |x+2| evaluates to (x+2), and |x−5| evaluates to (x−5).

  - Therefore, the rewritten equation is y = (x−3) + (x+2) − (x−5).

2. For the condition y = |x−5| + |x+5|, if x > 5:

  - When x is greater than 5, we no longer need to consider the absolute values since x will always be greater than the critical points.

  - The expression |x−5| evaluates to (x−5) and |x+5| evaluates to (x+5).

  - Therefore, the rewritten equation is y = (x−5) + (x+5).

3. For the condition y = |x−5| + |x+5|, if x < −5:

  - When x is less than -5, the absolute values can be simplified by considering the intervals between the critical points.

  - For x values in the interval (-∞, -5), the expression |x−5| evaluates to (5−x) and |x+5| evaluates to (x+5).

  - Therefore, the rewritten equation is y = (5−x) + (x+5).

4. For the condition y = |x−5| + |x+5|, if −5 ≤ x ≤ 5:

  - When x is between -5 and 5 (inclusive), we consider the absolute values by evaluating each expression based on the sign of x.

  - For x values in the interval [-5, 5], the expression |x−5| evaluates to (5−x) and |x+5| evaluates to (x+5).

  - Therefore, the rewritten equation is y = (5−x) + (x+5).

In summary, by considering the intervals and signs of x, we can rewrite the given expressions without absolute value by simplifying the expressions accordingly.

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a) The null and alternative hypothesis are defined as

\(H_0 : p = 0.80 \)

\(H_a : p > 0.80\)

So, right choice is option (iii) here.

b) The test statistic value is equals to the 1.25.

c) The p-value of distribution is equals to the 0.1056. So, option(b) is right one here.

d) Conclusion: a fail to reject the null hypothesis, that is p = 0.80. So, there is no evidence to support the claim.

The claim about the population proportion that the proportion is more than 80% is tested under the null and the alternative hypothesis at the 5% level of significance. To calculate the P-value and the test statistic value, we will use Z-test. . We have a random sample of 100 people. So, sample size, n = 100

Number of people who favored candidate from the sample = 85

level of significance, \( \alpha\)

= 0.05

Population proportion, \( \hat p\)

= 85% = 0.85

a) The null hypothesis is,

\(H_0 : p = 0.80\)

The alternative hypothesis is,

\(H_a : p>0.80\)

(Right-Tailed)

Therefore, Option (iii) is correct.

b)Now, we determine the z statistic value : z-test statistic is defiend as:

\(z= \frac{\hat p−p}{\sqrt{\frac{p(1−p)}{n}}}\)

=> \(z = \frac{0.85 - 0.80}{\sqrt{\frac{0.80(1 - 0.80)}{100}}}\)

=> z = 0.05/0.04 = 1.25

so, Z-statistic value is 1.25.

c) Using the Z-distribution table, the value of P( z = 1.25 ) is 0.1056.

d) As we see, p-value (0.1056) > 0.05, so we fail to reject the null hypothesis. There is no evidence to reject null hypothesis.

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Complete question:

a random sample of 100 people was taken. eighty-five of the people in the sample favored candidate a. we are interested in determining whether or not the proportion of the population in favor of candidate a is significantly more than 80%.

a) The correct set of hypothesis for this problem is I)H0:p=0.85 and

HA:p>0.85

ii. H0:p>0.80 and

HA:p=0.80

iii.) H0:p=0.80 and

HA:p>0.80

iv.) H0:p=0.80 and HA:p≥0.80

b) find out the Z-statistic value?

c)the p-value is ? group of answer choices 0.2112 0.05 0.1056 0.025

d) What is your conclusion?

Answer:

x=17/4

Step-by-step explanation:

Answer:

x= √10 and x= -√10

Step-by-step explanation:

first look to isolate the term with the variable on one side

-5 +5 -2x² = -5 -15; subtract 5 from both sides(inverse of addition)

-2x² = -20; divide both sides by -2 (inverse of multiplication)

x² = 10; square root both sides (the inverse of raising to power of 2)

√x² =√10

x =±√10

Hello there ☺️,

There will be two answers to this question. They are:-

The exact √28 will be 5.2915026221291.

Factor 28 to 2² x 7. Rewrite the square root of the product √2² x 7 as the product of square roots √2²√7. Then take the square root of 2².

→ 2√7

This is also equal to 5.2915026221291.

Therefore, you can write the answer as 2√7 or 5.2915026221291.

✍️ By Benjemin ☺️

Answer:

6*(10^26)

Step-by-step explanation:

Please mark as brainliest

The simplified standard form of (3.05 x 10⁻⁷) (8.67 x 10⁴) is 2.642 x 10⁻¹.

To simplify (3.05 x 10⁻⁷) (8.67 x 10⁴) and leave the answer in standard form to 3 decimal places:

1: Multiply the decimal numbers:
3.05 * 8.67 = 26.4245

2: Add the exponents:
-7 + 4 = -3

3: Combine the result and exponent in standard form:
26.4245 x 10⁻³

4: Adjust the decimal to have only one non-zero digit to the left of the decimal point and adjust the exponent accordingly:
2.64245 x 10² x 10⁻³

5: Simplify by combining exponents:
2.64245 x 10⁻¹

6: Round to 3 decimal places:
2.642 x 10⁻¹

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If A is an m × n matrix. The following are true regarding it: 1. The number of pivot positions in A is called the rank of A.2. A pivot column of A is a column that contains a pivot position.3. A pivot position of A is a location in A that corresponds to a leading 1 in the reduced echelon form of A.4. Free variables of a linear system are variables corresponding to the non-pivot columns of A.

The rank of a matrix is the number of pivot positions in the matrix after it has been reduced to a reduced echelon form. In the reduction procedure, the rows and columns of the matrix are manipulated to convert the matrix into a reduced echelon form.

A pivot column of matrix A is one that contains at least one pivot position, according to the definition. These are columns that have a leading 1 in a reduced echelon form. These columns contain the variables in the equation system that correspond to the pivot rows.

In matrix A, a pivot position is the location of a leading 1 in the matrix's reduced echelon form. The reduced echelon form of a matrix is the one in which the matrix has been transformed so that it satisfies certain criteria for ease of use.

The variables that do not correspond to pivot columns in matrix A are referred to as free variables. These variables are not bound to specific values in a solution to the associated equation system. They can take on any value and therefore provide an infinite number of solutions.

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