Find the value of x: x/6 = 16/48

PLEASE HELP

Answer and Step-by-step explanation:

We want to prove that 0.5555... = 5/9.

First, let's set 0.555... equal to x:

x = 0.555...

Now multiply this by 10:

10x = 5.555...

Now subtract the original from this new one:

   10x = 5.555...

-       x = 0.555...

______________

     9x = 5

Note that we could cancel all the recurring terms because they were the same for both 5.555... and 0.555... since the 5's go up to infinity.

We now have 9x = 5, so divide both sides by 9:

x = 5/9, as desired

The correct option is d. one-sample t-test. The VAR statement in the PROC TTEST step specifies the mean we want to analyze.

The PROC TTEST step is used in SAS software to perform hypothesis testing for means. When only a VAR statement and RUN statement are used in the PROC TTEST step, SAS will perform a one-sample t-test.

In a one-sample t-test, we compare the mean of a single sample to a known or hypothesized value. We use this test when we want to determine whether the sample mean is significantly different from a population mean or a hypothesized value.

For example, if we have a sample of students and we want to determine whether their mean test score is significantly different from a passing score of 70%, we would use a one-sample t-test. The VAR statement in the PROC TTEST step specifies the variable we want to analyze.

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The standard deviation of the costs is 37 Dhs

The given mean is 173 and 3% of costs exceed 243. We have to calculate the standard deviation of the cost. Therefore, let's first start by calculating the z-score as follows;z-score formula = `(x - μ) / σ`z-score = `243 - 173 / σ`z-score = `70 / σ`We need to find the standard deviation of the costs. Since the z-score formula includes standard deviation, we can first calculate the z-score and then use it to calculate the standard deviation.Using the z-table, we can find the z-score for 3% = -1.88-1.88 = (243 - 173) / σσ = (243 - 173) / -1.88σ = -70 / -1.88σ = 37.23≈ 37The standard deviation of the costs is 37 Dhs. Hence, the correct option is as follows.Option D is the correct option.

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Answer:

100x

Step-by-step explanation:

\(\frac{20000}{200} =100\)

The product in standard form that is the area as sum of the generic rectangle is given by 6x² - 5x - 4.

Given the expression is:

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

Multiplying the algebraic terms we get,

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

= (3x)*(2x) - 4*(2x) + 1*(3x) - 4*1

= 6x² - 8x + 3x - 4

= 6x² + (3 - 8)x - 4

= 6x² + (-5)x - 4

= 6x² - 5x - 4

Hence the product of the algebraic expressions that is the area as sum of the generic rectangle is given by 6x² - 5x - 4.

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The correct answer is  you will get approximately £1.30 for one Australian dollar.

To find out how many British pounds you will get for one Australian dollar, we need to determine the exchange rate between the British pound and the Australian dollar.

Given that £1 = US$1.11316 and A$1 = US$0.8558, we can calculate the exchange rate between the British pound and the Australian dollar as follows:

£1 / (US$1.11316) = A$1 / (US$0.8558)

To find the value of £1 in Australian dollars, we can rearrange the equation:

£1 = (A$1 / (US$0.8558)) * (US$1.11316)

Calculating this expression, we get:

£1 ≈ (1 / 0.8558) * 1.11316 ≈ 1.2992

Therefore, you will get approximately £1.30 for one Australian dollar.

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Answer:

I have graphed it in the explanation part.

Step-by-step explanation:

First, we have to rewrite the two equations in the form y = mx + b.

2x - y = 4

-y = -2x + 4

y = 2x - 4

x - y = -2

-y = -x - 2

y = x + 2

As we see from the graph, the intersect point is at (6, 8)

Answer:

3,800

Step-by-step explanation:

5500-1700=

For a sample of 64 low-income children, the estimate of the true mean complexity score is 7.64

Parameter refers to the mathematical quantity calculated using population while statistics refers to the mathematical quantity calculated using sample.

Given, the sample mean of 64 children is 7.64 and the estimated population parameter value is equal to its statistics. So, here the estimated value of the mean sentence complexity score is equal to its sample mean value which is 7.64

So, an estimate of the true mean is sample mean=\(\bar x\)=7.64

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The complete question is given below:

Each child in a sample of 64 low-income children was administered a language and communication exam. The sentence complexity scores had a mean of 7.64 and a standard deviation of 8.94. Complete parts a through d. a. From the sample, estimate the true mean sentence complexity score of all low-income children.

Based on the team combination, the number of ways the team can be formed is  861,029,868,672 ways.

For the first team with 9 members, we need to select 9 members out of 32, which can be done in C(32, 9) ways.

Similarly, for the second team with 6 members, we need to select 6 members out of the remaining 32 - 9 = 23 members, which can be done in C(23, 6) ways.

For the third team with 7 members, we need to select 7 members out of the remaining 23 - 6 = 17 members, which can be done in C(17, 7) ways.

Finally, for the fourth team with 10 members, we need to select 10 members out of the remaining 17 - 7 = 10 members, which can be done in C(10, 10) ways.

Total number of ways = C(32, 9) × C(23, 6) × C(17, 7) × C(10, 10)

Using the combination formula C(n, r) = n! / (r! * (n - r)!), we can calculate the combinations:

Evaluating these expressions, we find:

C(32, 9) = 32,468,436

C(23, 6) = 1,352,128

C(17, 7) = 19,448

C(10, 10) = 1

Now, we can calculate the total number of ways:

Total number of ways = 32,468,436 × 1,352, 128 × 19,448 × 1

Total number of ways ≈ 861,029,868,672

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Step-by-step explanation:

1. find P of semicircle

perimeter of a semicircle = pi×r+d

=3.14×5+10

=25.7

2.find P of rectangle

P=10×4=40cm

3. add P of semicircle and P of rectangle

25.7+40=65.7cm

The cracker box has a 25 centimetre height.

The formula for the volume of a rectangular prism can be used to determine the height of the cracker box:

Volume = Length * Width * Height

Given information:

Volume = 5000 cm³

Length = 25 cm

Width = 8 cm

Substituting the values into the formula:

5000 = 25 * 8 * Height

Simplifying the equation:

5000 = 200 * Height

To solve for Height, we can divide both sides of the equation by 200:

5000 / 200 = Height

Calculating the value:

Height = 25

As a result, the cracker box has a 25 centimetre height.

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Answer:

A. NO

B. YES

C: YES

D: NO

Step-by-step explanation:

Answer:

I think there are 6 Tricycles in the shop.

Step-by-step explanation:

There is 3 wheels in a tricycle and 18 divided by 3 is 6.

Answer:

m<2 - 56° - Reason: 180° minus m<1 = 56°

m<3 - 56° - Reason: the opposite of m<1 is m<4 so 180° minus m<4 (124°) = 56°

m<4 - 124° - Reason: It is the opposite of m<1

m<5 - 124° - Reason: m<1 and m<4 is the same. *I forgot the word used to describe it*

m<6 - 56° - Reason: 180° minus m<5 = 56°

m<7 - 56° - Reason: the opposite of of m<5 is m<8 so 180° minus m<8 = 56°

m<8 - 124° - Reason: 180° minus m<7 (56°) = 124°

Answer:

No

Step-by-step explanation:

This is because it is a forever ongoing number. Here is an examples 7, pie, 5, and 2

tell me if this helped pls mark brainliest

To complete the table using the scale of 1 cm = 8 miles:

Distance (miles) Distance (cm)

96 12

20 2.5

192 24

288 36

512 64

To calculate the distance in centimeters, we can use the following formula:

Distance in cm = (Distance in miles) / (Scale in miles/cm)

So, for example, to find the distance in cm for a distance of 96 miles:

Distance in cm = 96 miles / 8 miles/cm = 12 cm.

Similarly, we can calculate the distances in cm for the other distances given in the table using the same formula.

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The stage of group development that is characterized by disagreements and conflicts is called storming. During this stage, group members may have different ideas and opinions about how to approach tasks and goals, and they may struggle to find a common understanding.

Conflict can arise as individuals compete for leadership roles or try to assert their ideas over others. However, this stage is important for groups to progress towards their goals as it allows for open communication and the airing of different perspectives. Eventually, through negotiation and compromise, groups move on to the norming stage where a common understanding is established and roles are defined. From there, groups move on to performing, where they are able to work together effectively towards their goals.

Finally, the adjourning stage is where the group disbands after reaching their goals or completing their tasks.

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The input value x in the function j(x) = 3-x as j(x) equals -5 is 8.

A function is simply a relationship that maps one input to one output.

Given the function in the question;

To determine the value x or input value, equate the function to -5 and solve for x.

j( x ) = 3 - x

j( x ) = -5

-5 = 3 - x

Add 5 to both sides

-5 + 5 = 3 + 5 - x

0 = 8 - x

Add x to both sides

0 + x = 8 - x + x

x = 8 - x + x

x = 8

Therefore, the value of x is 8.

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Answer:

x = 220°

Step-by-step explanation:

∠AEB = ∠ABE = (180 - 80) /2 = 50   (isosceles triangle property)

∠BED = 90

x = 360 - 90 - 50 =220  

The measure of angle x is 220°.  

An Isosceles Triangle is defined as a triangle with two sides of equal length is an isosceles triangle. An isosceles triangle's third side, which is not equal to its other two sides, is referred to as its base. The two angles that are opposite the equal sides are identical to one another.

Given that ΔABE is an isosceles triangle.

The length of AB = AE

And angle ∠BAE = 80°

According to the isosceles triangle property,

⇒ ∠ABE = ∠AEB

⇒ ∠ABE = (180 - 80) /2 = 50

Since BCDE is a rectangle

So ∠BED = 90°

x = 360 - ∠BED  - ∠AEB

x = 360 - 90 - 50 =220  

x = 220°  

Hence, the measure of angle x is 220°.  

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Answer:

4,999

Step-by-step explanation:

4,999 is the number in standard form, hope this helps!!

Your answer is 4,999

I hope this helps!

On solving the provided question we can say that - area of the given triangle will be A = 60 cm sq.

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

here,

B = 8cm

H = 15 cm

A = 1/2 BH = 1/2 X 8 X 15 = 60cm sq.

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Answer:

The cost of each drink was $9.25 and the cost of each popcorn was $5.5

Step-by-step explanation:

Let the cost of each drink be d

Let the cost of each popcorn be p

Steven spends $138.50 for 12 drinks and 5 bags of popcorn. This implies that:

12d + 5p = 138.50 _________ (1)

Jennifer buys two drinks and seven bags of popcorn for a total of $57. This implies that:

2d + 7p = 57 ______________(2)

We have two simultaneous equations/

12d + 5p = 138.50 _________ (1)

2d + 7p = 57 ______________(2)

Multiply (2) by 6 and subtract (1) from it:

12d + 42p = 342

- 12d + 5p = 138.50

———————————

37p = 203.5

p = $5.5

Puutting the value of p back in (2):

2d + 7(5.5) = 57

2d + 38.5 = 57

2d = 57 - 38.5 = 18.5

d = 18.5 / 2 = $9.25

The cost of each drink was $9.25 and the cost of each popcorn was $5.5

The least number of years for the investment to triple is approximately 10 years.

To find the equivalent annual discount rate for a compound interest rate of i = 5%, we can use the formula:

Discount rate = (1 + i)^-1 - 1

Substituting the given interest rate, we have:

Discount rate = (1 + 0.05)^-1 - 1

Discount rate = 0.952381 - 1

Discount rate = -0.047619

The equivalent annual discount rate is approximately -0.047619.

To determine the number of years it takes for an investment to triple at an annual effective interest rate of i = 12%, we can use the compound interest formula:

Future value = Present value * (1 + i)^n

We want to find the least number of years (n) for the future value to be three times the present value. Let's set up the equation:

3 = 1 * (1 + 0.12)^n

Taking the logarithm of both sides, we get:

log(3) = n * log(1.12)

Solving for n, we have:

n = log(3) / log(1.12)

Using a calculator, we find that n ≈ 9.9 years.

Therefore, The least number of years for the investment to triple is approximately 10 years.

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Answer:

side angle side. Seems contrary

Answer:

side angle side. Seems contrary

Step-by-step explanation:

Answer:

Step-by-step explanation:

A x - 2

B x + 2

C x - 2

D x - 2

Option B is not equivalent

Answer:

uhm

Step-by-step explanation:

The root of the graph of f(x) = \((x-5)^{3} (x+2)^{2}\) touches the x axis at -2 and 5.

What is root of graph ?

A rooted graph is a graph in which one node is labeled in a special way so as to distinguish it from other nodes. The special node is called the root of the graph. The rooted graphs on nodes are isomorphic with the symmetric relations on nodes.

Have given,

f(x) = \((x-5)^{3} (x+2)^{2}\)

If a curve touches the x-axis then f(x) = 0

⇒\((x-5)^{3} (x+2)^{2}\) = 0.

But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.

⇒\((x - 5)^{3}\) = 0 and \((x + 2)^{2}\) = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x = 5 and x = - 2.

The root of the graph of f(x) = \((x-5)^{3} (x+2)^{2}\) touches the x axis at -2 and 5.

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The 95% confidence interval for the mean number of college credits completed is approximately 48.029 to 52.371.

To construct a 95% confidence interval for the mean number of college credits completed, we can use the formula:

CI = x ± z * (σ/√n)

Where:

CI represents the confidence interval

x is the sample mean (50.2 credits)

z is the z-score corresponding to the desired confidence level (95% confidence level corresponds to a z-score of approximately 1.96)

σ is the population standard deviation (8.3 credits)

n is the sample size (51 students)

Let's calculate the confidence interval:

CI = 50.2 ± 1.96 * (8.3/√51)

Using a calculator or software, we can find the standard error (σ/√n):

SE = 8.3/√51 ≈ 1.164

Now substitute the values into the formula:

CI = 50.2 ± 1.96 * 1.164

Calculating the upper and lower bounds of the confidence interval:

CI = (50.2 - 1.96 * 1.164, 50.2 + 1.96 * 1.164)

Simplifying the expression:

CI ≈ (48.029, 52.371)

Therefore, the 95% confidence interval for the mean number of college credits completed is approximately 48.029 to 52.371.

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