Make x the subject of the formula r=√x²+y²

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{SIMPLIFY THE following FRACTION: } \mathsf{\dfrac{12}{16}}[/tex]

[tex]\large\text{FINDING the numerator GCF (Greatest Common Factor)}[/tex]

[tex]\large\text{12: 1,2,3,4,6,12}[/tex]

[tex]\large\text{16: 1, 2, 4, 8, 16}[/tex]

[tex]\large\text{GCF (Greatest Common Factor): 4}[/tex]

[tex]\large\text{So, we will DIVIDE the numerator and the denominator from 4.}\\\bullet\large\text{Numerator}\rightarrow\large\text{\bf TOP NUMBER}\\\bullet\large\text{Denominator}\rightarrow\large\text{\bf BOTTOM NUMBER}[/tex]

[tex]\mathsf{\dfrac{12\div4}{16\div4}}[/tex]

[tex]\mathsf{12 \div 4 = \bf 3}\leftarrow\large\text{NUMERATOR}[/tex]

[tex]\mathsf{16\div 4 = \bf 4}\leftarrow\large\text{DENOMINATOR}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf \dfrac{3}{4}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

f-¹(x) = -⅕x - ⅘

Step-by-step explanation:

f(x) = -5x - 4 → x = -5y - 4 → 5y = - x - 4 → y = -⅕x - ⅘ → f-¹(x) = -⅕x - ⅘

Answer:

3/12= 1/4

Step-by-step explanation: because you would add the all up for 12 and you have a 3 vanilla's so 3/12= 1/4

Answer:

1. 2x+20

2. 8x-40

3. 7x+21

4. 8x-4

5. 15x+5

6. 12x+15

7. 20x-50

8. 21x+14

9. 24x-6

10. 45x-18

11. 18x-8

12. 30x+9

Explanation: Distributive Property

Answer: He can make 688 beads, and 8 beads will be left.

Step-by-step explanation:

First, you need to divide 6,200 by 9.

        6,200 ÷ 9 = 688 R8.

688 will be the number of bracelets he can make, and the remainder, 8, will be the leftover beads because he doesn't have enough to make another bracelet.

          For the labels, it says, "How many bracelets can he make?" and," How many beads will be left?"

           The answers will be: 688 bracelets;8beads

Equation : 6,200÷9=x  6,200÷9=688 R8  x=688 bracelets;8 beads

[tex]215.[/tex]

Step-by-step explanation:

[tex]4 + 62 = 66.[/tex]

[tex]66 + 9 = 75.[/tex]

[tex]75 \times 3 =225.[/tex]

[tex]225 - 10 = 215.[/tex]

Answer:

[tex]Volume = 594m^3[/tex]

Step-by-step explanation:

Given

[tex]Length = 5.5m[/tex]

[tex]Breadth = 12m[/tex]

[tex]Height =18m[/tex]

Required

The volume when it is half full

The height, when half full is:

[tex]h = 0.5 *Height[/tex]

[tex]h = 0.5 *18m[/tex]

[tex]h = 9m[/tex]

So:

The volume is:

[tex]Volume = Length * Breadth*h[/tex]

[tex]Volume = 5.5m * 12m * 9m[/tex]

[tex]Volume = 594m^3[/tex]

Answer:

These types of numbers are commonly referred to as "irrational numbers".

Step-by-step explanation:

Answer:

0.9167 = 91.67% probability that the entire batch will be accepted

Step-by-step explanation:

The CDs are chosen without replacement, which means that the hypergeometric distribution is used.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

2100 write-rewrite CDs, and 60 are defective.

This means, respectively, that [tex]N = 2100, k = 60[/tex]

3 of these CDs are randomly selected for testing

This means that [tex]n = 3[/tex]

What is the probability that the entire batch will be accepted?

Probability of none defective, so P(X = 0).

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,2100,3,60) = \frac{C_{60,0}*C_{2040,3}}{C_{2100,3}} = 0.9167[/tex]

0.9167 = 91.67% probability that the entire batch will be accepted

Answer:

I think the answer will be x⩽4

Answer:

390 Millions of bacteria particles by the end of one week.

Step-by-step explanation:

The Bacteria Growth Rate Formula is:  ---> N (T) = N (0) * (1 + R) ^tT

N (0) = # of bacteria present during the beginning of the experiment

Variable R= Growth rate

Variable T= Time taken / elapsed.

Substitute the #'s for N (T)

N (0) and T from the given description

We then get the value of variable R.

220 = 20 * (1+R) ^ (24 hrs)

When solving for R, we get R = 0.105074

1 week= (7 x 24 = 168) hrs

We need to plug in the solutions

Therefore

N (168 hours) = 20 * (1+0.105074) ^168

Which is around 390 millions.

So now we know that there will be 390 millions of bacteria particles at the end of 1 week

Answer:

No, Lin assumption is wrong

Step-by-step explanation:

Given

Population of panama = 4 x 10^6

population of thailand = 7 x 10^7.

Taking their ratios

thailand/panama = 7x 10^7/4 x 10^6

thailand/panama  = 7/4 * 10^7-6}

thailand/panama = 1.75 * 10^1

thailand/panama  = 17.5

thailand = 17.5 * panama

Hence the amount of people in thailand is not up to 20times those in panama. Hence Lin assumption is wrong

Using proportions, it is found that the ratio is of 17.5, hence Lin is not correct.

A proportion is a fraction of a total amount.

In this problem:

The ratio between the populations is given by:

r = 7 x 10^7/(4 x 10^6) = 1.75 x 10^1 = 17.5.

The ratio is of 17.5, hence Lin is not correct.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

72

Step-by-step explanation:

First square 6.

6^2=36

Then multiply 26 by 2.

2*36=72

Answer:

105 I think i might have did it wrong

Step-by-step explanation:

3.25 ÷ 10. 2) 685.34 ÷ 102. 3) 87 * 105.

Answer:

0.8980 = 89.80% probability that a randomly selected firm will earn less than 109 million dollars

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Distributed normally, mean of 90 million, standard deviation of 15 million.

This means that [tex]\mu = 90, \sigma = 15[/tex]

What is the probability that a randomly selected firm will earn less than 109 million dollars?

This is the pvalue of Z when X = 109. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{109 - 90}{15}[/tex]

[tex]Z = 1.27[/tex]

[tex]Z = 1.27[/tex] has a pvalue of 0.8980

0.8980 = 89.80% probability that a randomly selected firm will earn less than 109 million dollars

Answer:

d

Step-by-step explanation:

i believe its 49 - 33= answer bc 49=49

Answer:

16°

Step-by-step explanation:

The two angles are vertical, meaning that they are the same

33 + 16 = 49

Answer:

-44

Step-by-step explanation:

Since a is -2 and y equals 7 we can plug them both into the expression to get -2 - 6(7) which after simple math results in the answer of -44.

Answer:1/6*1/6*1/6=1/216

Step-by-step explanation:

Answer:700

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

52-37 is 15 . divide by 3 and u get five

Answer:

A) = m

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

To find your answer, simply multiply 2345 by 0.34. As 34% in decimal form is 0.34 and to find the percentage of a number, you must multiply the number with the percentage. When you do so, you get 797.3 exactly which is closest to 800 students, resulting in B being the answer. PS. Hamburgers every day would be disgusting and boring!!!!

Answer:

2

Step-by-step explanation:

0.02 = 2/100 so the answer is 2

Answer:

The answer would be A, and she can make 15 bows.

Step-by-step explanation:

Answer:

A, C and she can make 15 bows.

Answer:

The interior angles of a triangle are inside the triangle and add up to 180 degrees. The exterior angles are angles between any side of the triangle, and the line extended from the side. The sum of an exterior angle and its adjacent interior angle is also 180 degrees.

Answer:

50

Step-by-step explanation:

100/20 = 5

5 x 10 = 50