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Ann [662]
3 years ago
11

32 plus 20 using the distributive property

Mathematics
1 answer:
Darya [45]3 years ago
3 0
Using the distributive property it would be 4(8+5) which is the same as (4×8) + (4×5)
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Complete the statement below to explain how this model shows that 1/3÷1/5=5/3
Galina-37 [17]
To divide by a fraction, multiply by the reciprocal of that fraction.

1/3 • 5/1 or 1/3 • 5


Calculate the product straight across.

1/3 • 5/1 = 5/3



3 0
3 years ago
What is the function of this graph?
Lesechka [4]

Answer:

x=y^2-2

Step-by-step explanation:

This graph, is a parabola that opens to the right.

To answer this question, we just use the vertex form of a sideways parabola- x=a(y-k)^2+h.

In this case, the vertex is (-2, 0), and our value of a is 1, since it opens to the right.

This gives us: x=1(y-0)^2+(-2)

Which simplifies to: x=y^2-2.

Also, the answer to the previous two questions are wrong.

The D value (Domain) is actually [2, ∞)

The R value (Range) is actually "All real numbers" (-∞, ∞)

Let me know if this helps!

3 0
2 years ago
kimmys savings account has a balance of $76.23 in june.by september, her balance is 5 times as much as her june balance.between
nalin [4]
From the information you have given me, I would say Kimmy has $<span>468.98 </span>dollars in her bank account.

Does she get more money during the other months, just as she had gotten 5 times as much as she had in a 3 month span? (From june to september.) All I could tell was her money was multiplied by 5, then you add $87.83 more into her account.

Please check my math if you want to be sure.
$76.23 * 5 = $381.15
$381.15 + 87.83 = 468.98
4 0
2 years ago
The prices of all college textbooks follow a bell-shaped distribution with a mean of $113 and a standard deviation of $12. Using
Soloha48 [4]

Step-by-step explanation:

In statistics, the empirical rule states that for a normally distributed random variable,

  • 68.27% of the data lies within one standard deviation of the mean.

  • 95.45% of the data lies within two standard deviations of the mean.

  • 99.73% of the data lies within three standard deviations of the mean.

In mathematical notation, as shown in the figure below (for a standard normal distribution), the empirical rule is described as

                             \Phi(\mu \ - \ \sigma \ \leq X \ \leq \mu \ + \ \sigma) \ = \ 0.6827 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi(\mu \ - \ 2\sigma \ \leq X \ \leq \mu \ + \ 2\sigma) \ = \ 0.9545 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi}(\mu \ - \ 3\sigma \ \leq X \ \leq \mu \ + \ 3\sigma) \ = \ 0.9973 \qquad (4 \ \text{s.f.})

where the symbol \Phi (the uppercase greek alphabet phi) is the cumulative density function of the normal distribution, \mu is the mean and \sigma is the standard deviation of the normal distribution defined as N(\mu, \ \sigma).

According to the empirical rule stated above, the interval that contains the prices of 99.7% of college textbooks for a normal distribution N(113, \ 12),

                \Phi(113 \ - \ 3 \ \times \ 12 \ \leq \ X \ \leq \ 113 \ + \ 3 \ \times \ 12) \ = \ 0.9973 \\ \\ \\ \-\hspace{1.75cm} \Phi(113 \ - \ 36 \ \leq \ X \ \leq \ 113 \ + \ 36) \ = \ 0.9973 \\ \\ \\ \-\hspace{3.95cm} \Phi(77 \ \leq \ X \ \leq \ 149) \ = \ 0.9973

Therefore, the price of 99.7% of college textbooks falls inclusively between $77 and $149.

5 0
2 years ago
Find the quotient and remainder for 52 divided by 8
leva [86]
52/8 is 6.5 on a calculator, hope this helps
6 0
3 years ago
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