Rewrite 2/10 : 1/25 as a unit rate.
A. 50:1 B. 1:125 C. 50:10 D. 5:1

Answers

Answer 1
Answer:

Answer:

D. 5:1

Step-by-step explanation:

Let's break down the fraction \((2)/(10) : (1)/(25)\) into a unit rate.

Firstly, simplify \((2)/(10)\) to \((1)/(5)\). Now, it becomes \((1)/(5) : (1)/(25)\).

To make the denominator of the second fraction match the first one, multiply both the numerator and denominator by 5:

\[ (1)/(5) : (1 * 5)/(25) \]

This simplifies to \((1)/(5) : (5)/(25)\).

Now, both fractions have the same denominator, so we can compare the numerators directly:

\[ 1 : 5 \]

So, the unit rate is 1:5.  D. 5:1


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A population of 3.5 million bacteria increases by 488000 . How many bacteria are there now?

Answers

3.5 million=3500000
3500000 +  488000=3988000
,3988000 are there bacterias

What is 35 rounded to the hundreds place​

Answers

Answer:

350

Step-by-step explanation:

Answer:35

Step-by-step explanation:

86 is 45% of what number

Answers

To get the answer we can use proportion
86 --------------45%
x ---------------- 100%
Now cross multiply
x*45%=86*100
45x=8600      /:45 (divide both sides by 45)
x=191.11 - its the answer
The best thing to do is to find 1%, and you can do this by diving 86 by 45. 86/45= 1.9111, and you've then got to multiply this by 100, and this gives you 191.11Hope this helps :)

Which algebraic expression is a polynomial with a degree of 5?3x5 + 8x4y2 – 9x3y3 – 6y5
2xy4 + 4x2y3 – 6x3y2 – 7x4
8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4
–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5

Answers

The degree of a polynomial is the highest exponent or sum of exponents of the variables in the individual terms of a polynomial.

Looking at each the polynomial:

3x5 + 8x4y2 – 9x3y3 – 6y5: Degree is 6 (look at the 2nd and 3rd term)

2xy4 + 4x2y3 – 6x3y2 – 7x4: Degree is 5 (look at 1st, 2nd, and 3rd term)

8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4: Degree is 6 (look at 1st term)

–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5: Degree is 6 (look at 1st and last term)

Therefore, the answer is the second option:
2xy4 + 4x2y3 – 6x3y2 – 7x4

Answer:

2xy^4 + 4x^2y^3 - 6x^3y^2 - 7x^4

Step-by-step explanation:

Since, the highest degree in a polynomial is called the degree of the polynomial,

While, the degree of each term in a polynomial with two variables is the sum of the exponents in each term.

In 3x^5 + 8x^4y^2 - 9x^3y^3 - 6y^5,

Sum of exponents are 5, 6, 6, 5,

So, degree of the polynomial is 6.

In 2xy^4 + 4x^2y^3 - 6x^3y^2 - 7x^4,

Sum of exponents are 5, 5, 5, 4,

So, degree of the polynomial is 5.

In 8y^6 + y^5 - 5xy^3 + 7x^2y^2 - x^3y - 6x^4,

Sum of exponents are 6, 5, 4, 4, 4, 4

So, degree of the polynomial is 6.

In -6xy^5 + 5x^2y^3 - x^3y^2 + 2x^2y^3 -3xy^5,

Sum of exponents are 6, 5, 5, 5, 5

So, degree of the polynomial is 6.

Given a normal distribution with a mean of 50 and a standard deviation of 4, 5% of the values are less than what value?

Answers

Answer:

15.5

Step-by-step explanation:

Final answer:

In a normal distribution with a mean of 50 and standard deviation of 4, 5% of the values would be less than 43.42.

Explanation:

In a normal distribution, 5% of the values being less than a certain value corresponds to a z-score of -1.645. The formula for a z-score is Z = (X - μ)/σ, where Z is the z-score, X is the value in the dataset, μ is the mean, and σ is the standard deviation.

To solve for X, we use the formula X = Z*σ + μ. Substituting the values for Z (-1.645), σ (4), and μ (50), it gives:

X = (-1.645)*4 + 50 = 43.42

So, in a normal distribution with a mean of 50 and a standard deviation of 4, approximately 5% of the values would be less than 43.42.

Learn more about Normal Distribution here:

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The association strategy is used to___________informationa. Analyze and evaluate
c. Forget
b. Memorize
d. Define

Answers

Answer: Option 'B' is correct.

Step-by-step explanation:

The association strategy is used to memorize information.

Because if we memorise the information then, we are able to associate it with something related. And we can go for the association strategy.

And if we know that one thing can be associated with the other thing. then we can easily memorise the information.

Therefore, association and memorizing is inter- related.

Hence Option 'B' is correct.

it memorize the imformation