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White raven [17]
2 years ago
14

48=3 times 2 to the power of a 56=7 times 2 to the power of bWhat are the values of a and b?a= b=

Mathematics
1 answer:
Digiron [165]2 years ago
8 0

9514 1404 393

Answer:

  • a = 4
  • b = 3

Step-by-step explanation:

From your knowledge of multiplication tables, you know ...

  48 = 6·8 = 3·2·2·2·2 = 3·2^4 . . . . a = 4

  56 = 7·8 = 7·2·2·2 = 7·2^3 . . . . . . b = 3

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Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "
Travka [436]

Answer:  3/2

Step-by-step explanation:

Since, two variables are called proportional if there is always a constant ratio between them.

And, The constant is called the coefficient of proportionality or proportionality constant.

Let x and y are  proportional to each other.

Therefore, x ∝ y ⇒ y=kx

Where k is any constant.

For, x=2 and y=3 k= 3/2

For, x=4 and y=6, k=3/2

For x=6 and y=9, k= 3/2

Since, here the value of k is constant.

Therefore, k is the coefficient of proportionality.

And, given table is propositional.


3 0
3 years ago
At a candy store, Erika bought 3 kilograms of cinnamon red hots and 1 kilogram of gummy bears for $21.00. Meanwhile, Irene bough
Paul [167]
Every kilogram of cinnamon red hot costs $4

and every kilogram of qummy bears costs $9




good luck
5 0
3 years ago
a normal distribution has a mean of 67 with a standard deviation of 8. Find the probability that a randomly selected x-value is
lbvjy [14]

Answer:

P(X≥75)= 0.22663

Step-by-step explanation:

Hello!

The variable has a normal distribution with mean μ= 67 and a standard deviation δ= 8.

X~N(μ;δ²)

You need to find the probability that a randomly selected X value is at least 75, i.e. 75 or more, symbolically:

P(X≥75)

To calculate this probability is best to work using the standard normal distribution. This distribution is derived from the normal distribution. Considering a random variable X with normal distribution, mean μ and variance δ², the variable Z =(X-μ)/δ ~N(0;1) is determined.

The standard normal distribution is tabulated. Any value of any random variable X with normal distribution can be "converted" by subtracting the variable from its mean and dividing it by its standard deviation.

Using the formula and the values of the parameters of the population you have to standardize the value of X

Z= (X-μ)/δ = (75 - 67)/ 8= 0.75

Now you can express the probability under the standard normal distribution:

P(X≥75) = P(Z≥0.75)

The Z-tables show probability values P(Z≤z₁₋α)= 1 - α, then:

P(Z≥0.75)= 1 - P(Z<0.75)= 1 - 0.77337= 0.22663.

I hope it helps!

7 0
3 years ago
The length of the sides of a square is given by the expression 4.8x + 2.4. Which expression represents the perimeter of the squa
ycow [4]

Answer:

C. 8(2.4x + 1.2)

Step-by-step explanation:

Usually the answer would be 4(4.8x + 2.4) but there is no option for that, although there is c which is technically

4 (2) (2.4x + 1.2) because you're dividing the expression into a half.

5 0
3 years ago
ASAP must show step by step (2 1/2) divided by (-1 7/8) =
Mars2501 [29]

Answer:

-1  1/3

Step-by-step explanation:

Convert any mixed numbers to fractions. New equation:

5/2 ÷ −15/8

Fraction division formula:

5x8/2x-15 = 40/-30

Convert:

-1  1/3

6 0
3 years ago
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