how many thirds are in 2 wholes? (p.s. I’m in last period and I need this quick)

Answer:

z = 9

Step-by-step explanation:

7z = z + 54

7z - z = 54

6z = 54

z = 54 / 6

z = 9

Answer:

x = 20

Step-by-step explanation:

\((2x) \degree + x \degree+ 60 \degree + (360 - 120) \degree = 360 \degree \\ \\ (3x) \degree+ 60 \degree + 240 \degree = 360 \degree \\ \\ (3x) \degree+ 300 \degree = 360 \degree \\ \\ 3x = 360 \degree - 300 \degree\\ \\ (3x ) \degree= 60 \degree \\ \\ 3x = 60 \\ \\ x = \frac{60}{3} \\ \\ x = 20 \)

Answer: the closest i got to was A

Step-by-step explanation: 8 + 64 = 72/16 = 4.5

Answer:

2x²+9x-32

Step-by-step explanation:

north length of bedroom plus north length of living room plus north length of kitchen

Answer:

B . 72 you have to skip count by 12

C . 18 because 54 divide by 3 is 18 because they frame 3 houses in one week

Sorry I tried to do the rest but got confused I hope this helps u

Step-by-step explanation:

Answer:

$105

Step-by-step explanation:

125 - 20 = $105

hopefully this helps

Answer:

Step-by-step explanation:

First you want to subtract 22 from both sides. then the 22s would cross cancel. Next you would divide both sides by 2. then you have an answer.

(See attached file for the plot!)

Description:

Point Z is located in Quadrant III of the coordinate plane

It is 4 units to the left

It is 5 units down

Is this satisfactory enough? Let me know if it helped!

Answer:

You can use distance formula,

i. e. underroot (x sub2 - x sub1 )^ 2 - (y sub2 - y sub1 )

where u take first point as x sub1 and x sub2

and,

take second point as y sub1 and y sub2

where,

sub = subscript

Try for urselves and let me know

Hope it helps

Hope it helps ALL THE BEST !!

Answer:

Downloaded music 1 EACH: $1

Movie 1 EACH: $12

Step-by-step explanation:

4 songs and 1 movie = $16

6 songs and 1 movie = $18

if we minus the two formulas we get:

2 songs = $2

Try it out on the formula, it will work.

$4 + x = $16

x = $12

$6 + $12 = $18

This can be done by finding the CPI or another price index for the same period. Once you have the GDP deflator, you can use the formula above to calculate the real GDP.

If you only know the nominal GDP, you cannot determine the real GDP. In order to determine the real GDP, you need to take into account inflation. This is done by adjusting the nominal GDP for inflation using a price index, such as the Consumer Price Index (CPI).The formula for calculating real GDP is:Real GDP = Nominal GDP / GDP DeflatorThe GDP deflator is a measure of inflation that takes into account changes in the prices of all goods and services produced in an economy. It is calculated by dividing nominal GDP by real GDP and multiplying by 100. This gives us a ratio of the current price level to the base year price level.

The base year price level is assigned a value of 100.Using this formula, we can see that if we know the nominal GDP and the GDP deflator, we can calculate the real GDP. For example, if the nominal GDP is $10 trillion and the GDP deflator is 120, the real GDP would be:Real GDP = $10 trillion / 1.2 = $8.33 trillionTherefore, in order to determine the real GDP if you only know the nominal GDP, you need to obtain the GDP deflator.

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Answer:

Universal set is a set which contains all values

Union of Sets : The joining of two or more sets  .

Step-by-step explanation:

Answer:

14°

Step-by-step explanation:

Supplementary angles add up to 180° so subtract 166 from 180.

The area of inscribed regular hexagon is 6\(\sqrt{3\\\) unit square using the properties of equilateral triangles which combined, form the hexagon.

In a circle, a regular hexagon can be inscribed with all the six vertices of hexagon touching the circumference of the circle. The center of the circle is the center of the hexagon itself.

Now, if we join the center with all the vertices of the hexagon, we see six equilateral triangles are formed. The other two sides of each triangle apart from the ones joining the vertices of hexagon, are radii of the circle and all the sides are equal in length. The attached image can be referred for better understanding.

To find the area of the hexagon, we need to find the area of single equilateral triangle and multiply it by 6, as six triangles make a regular hexagon.

Radius of the circle (\(r\)) = 2 units

Area of a single equilateral triangle = \(\sqrt{3} /4\) \(r^{2}\)

                                                           =( \(\sqrt{3} /4\) ) × \(2^{2}\)

                                                           = \(\sqrt{3}\)

Area of hexagon = Area of 6 equilateral triangles = 6 × \(\sqrt{3}\)

Area of hexagon = \(6\sqrt{3}\) \(units^{2}\)

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The given statement is False. A test statistic based on point estimation is not used to construct the decision rule which defines the rejection region.

In hypothesis testing, a test statistic is calculated using sample data and a specific hypothesis to assess the strength of evidence against the null hypothesis. The decision rule, which determines whether to reject or fail to reject the null hypothesis, is based on the test statistic's distribution under the null hypothesis, rather than the point estimate itself.

The construction of the decision rule involves selecting a significance level (alpha), which represents the probability of rejecting the null hypothesis when it is actually true. The rejection region is determined based on the chosen significance level and the distribution of the test statistic. If the calculated test statistic falls within the rejection region, the null hypothesis is rejected; otherwise, it is not rejected.

Point estimation, on the other hand, is used to estimate an unknown parameter of interest, such as the population mean or proportion, based on sample data. It involves calculating a single value (point estimate) that represents the best guess for the parameter value. The point estimate is not directly involved in constructing the decision rule or defining the rejection region in hypothesis testing.

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False. A test statistic based on point estimation is not used to construct the decision rule that defines the rejection region.

The process of hypothesis testing involves constructing a decision rule to determine whether to accept or reject a null hypothesis based on sample data. The decision rule is typically defined using a critical region or rejection region, which is a range of values for the test statistic.

Point estimation, on the other hand, is a method used to estimate an unknown population parameter based on sample data. It involves calculating a single value (point estimate) that serves as an estimate of the population parameter.

While point estimation and hypothesis testing are both important concepts in statistics, they serve different purposes. Point estimation is used to estimate population parameters, whereas hypothesis testing involves making decisions based on sample data.

The decision rule for hypothesis testing is typically constructed based on the significance level (alpha) and the distribution of the test statistic, such as the t-distribution or the standard normal distribution. The test statistic is calculated using sample data and compared to critical values or calculated p-values to determine whether to reject the null hypothesis.

Therefore, the statement that a test statistic based on point estimation is used to construct the decision rule defining the rejection region is false.

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Answer:

Step-by-step explanation:

divide the numerator by the denominator, then multiply by 100

\(\frac{numerator}{denominator}\)

The 90% confidence interval for the mean length of stay for patients with abdominal surgery is [5.64, 5.86].

The formula for the confidence interval is given by: \($CI=\bar{X}\pm Z_{\alpha/2} \times \frac{S}{\sqrt{n}}$\)

Given data:Sample size, n = 2121,Sample mean, \($\bar{X}$\) = 5.75,Sample standard deviation, S = 1.11 Confidence interval, CI = 90%

Now, we need to find the value of Zα/2 from the Z-table.

The value of α/2 is given by 1-90/100 = 0.1.

Therefore, α/2 = 0.05.From the Z-table, we can find the Z-value corresponding to 0.05, which is 1.645.

Substituting all these values in the formula, we get:\(\[\begin{aligned}CI&=\bar{X}\pm Z_{\alpha/2} \times \frac{S}{\sqrt{n}}\\&=5.75\pm 1.645 \times \frac{1.11}{\sqrt{2121}}\\&=5.75\pm 0.106\\&=[5.64, 5.86]\end{aligned}\]\)

Therefore, the 90% confidence interval for the mean length of stay for patients with abdominal surgery is [5.64, 5.86].

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Answer:

answer is 4.0 it is the answer

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

The correct options are:

x= 30° + 360° k * = 60° +180° k = 60° + 120°k (where k is an integer)

The given equation is 2 sin(3x) - √3 = 0.

We have to find all real number solutions in degrees.

General solution of the equation:

2 sin(3x)

= √3sin(3x)

= √3 / 2

By using the formula for sin 60°, we have:

sin 60° = √3 / 2

Therefore, we get:

3x = 60° + 360°k or 3x

= 120° + 360°k (where k is an integer)

Thus, we get:

x = 20° + 120°k or x

= 40° + 120°k (where k is an integer)

Hence, the correct options are:

x= 30° + 360° k *

= 60° +180° k

= 60° + 120°k

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The probability that a player will be asked a math question and then a music question is 0.03125

The size of the sections are given as:

Music = 0.5

Sport = 0.5

Others = 1

So, the total size is:

Total = 0.5 + 0.5 + 1 + 1 + 1

Evaluate

Total = 4

The probability of asking a math question is:

P(Math) = 1/4 = 0.25

The probability of asking a music question is:

P(Music) = 0.5/4 = 0.125

The required probability is:

P(Math and Music) = P(Math) * P(Music)

This gives

P(Math and Music) = 0.25 * 0.125

Evaluate

P(Math and Music) = 0.03125

Hence, the probability that a player will be asked a math question and then a music question is 0.03125

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Answer:

80%

Step-by-step explanation:

using equivalent fractions:

40/50 = 80/100 = 80%

also since 50 is half of 100 (in other words 100%), you can just multiply 40 by 2 to get a number out of 100 which is your percentage

hope this helped :)

Answer:

42 minutes

Explanation:

Answer:

A:   -1 + 2 log4^x

C: log4 (1/4) + log4 x^2

Step-by-step explanation:

Apply logarithm properties:

log4 (1/4x^2)  =  log4 (1/4) + log4 x^2

Evaluate: log4 (1/4)

log4 (1/4) = -1

Substitute the value back:

-1 + lg4 x^2

Apply logarithm properties:

-1 + 2 log4 ^x

Draw a conclusion:

The expressions equivalent to: log4 (1/4x^2) are:

Answer Choices: A, and C

A= -1 + 2 log4^x

C=  log4 (1/4) + log4 x^2

Hope this helps!

To convert 12 m/s to get a kilometer per minute, we will need to multiply 12m/s by 1000 km/60 m.

Unit conversion is the expression of the same function in a new unit of measurement. Time, for example, can be stated in minutes rather than hours, and distance can be translated from miles to kilometers/feet, or another length measurement. A conversion factor is a numerical equation that allows for the equal conversion of feet to another dimensional analysis unit.

A conversion factor is a number that is used to multiply or divide one set of units into another. When converting to an equivalent value, the proper conversion factor must be utilized. For example, to translate inches to feet, the correct conversion value is 12 inches equals 1 foot. The converting value for minutes to hours is 60 minutes equals 1 hour.

From the information given:

To convert 12 m/s to get a kilometer per minute, we will need to multiply 12m/s by 1000 km/60 m.

The conversion factors are:

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Step-by-step explanation:

Area of triangle = base × height ×½

triangle = 9×8×½=36cm²

rectangle = length×width

rectangle = 15×26=390cm²

area of irregular fig= 390+36 =426cm²

Answer:

270 miles is your answer

Step-by-step explanation:

The side length of the juice box is given as follows:

5 cm³.

The volume of a cube of side length a is given by the cube of the side length, as follows:

V(a) = a³.

The total volume of the box in this problem is given as follows:

55 + 40 + 30 = 125 cm³.

Hence the side length of the juice box is given as follows:

a³ = 125

a³ = 5³

a = 5 cm.

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Answer:

There are 6 positive divisors of 12: 1, 2, 3, 4, 6, and 12. Of these, 1 and 4 are perfect squares. So the probability of choosing a perfect square divisor of 12 is 2/6, or 1/3.