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Liula [17]
3 years ago
9

Select all terms that are "like" ○ xy2 ○2xy ○x2 ○-xy ○2x2y ○1/2 xy

Mathematics
2 answers:
disa [49]3 years ago
8 0

Answer: 2xy, -xy,\frac{1}{2}xy


Step-by-step explanation:

  • <em>The like terms are the terms that have the same variables and powers. The coefficients do not need to match.</em>

For example :- 9xy and -67xy are like terms since both the expression have the same variables x and y and same exponents.

From the given options, we can see that the expressions 2xy, -xy,\frac{1}{2}xy they have same variables x and y and same exponents.

Rest of others are have no like exponents or variables.



shtirl [24]3 years ago
5 0

Answer:

  • 2xy
  • -xy
  • 1/2xy

Step-by-step explanation:

Like terms are the terms which have the same variable and same exponent. It is not necessary that the coefficient is equal.

For example ab and 4ab are like terms because both the expression have the same variable a, b and exponent is also equal.

Looking into the given options, we can conclude that the expressions 2xy, -xy,1/2xy are like terms.

Hence, the like terms are

  • 2xy
  • -xy
  • 1/2xy
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AysviL [449]
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5 0
3 years ago
Read 2 more answers
Consider the probability that no less than 96 out of 145 people will not get the flu this winter. Assume the probability that a
dsp73

Answer:

0.1324 = 13.24% probability that no less than 96 out of 145 people will not get the flu this winter.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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 pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 145, p = 0.61

So

\mu = E(X) = np = 145*0.61 = 88.45

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{145*0.61*0.39} = 5.87

Consider the probability that no less than 96 out of 145 people will not get the flu this winter.

More than 95 people, which is the same as 1 subtracted by the pvalue of Z when X = 95. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{95 - 88.45}{5.87}

Z = 1.115

Z = 1.115 has a pvalue of 0.8676

1 - 0.8676 = 0.1324

0.1324 = 13.24% probability that no less than 96 out of 145 people will not get the flu this winter.

6 0
2 years ago
What is the value of w if a=184 cm2 and l =23 cm?
notsponge [240]
The calculation of the value of w depends on what is the shape of the given dimension above. The given area of the shape is represented by a which is equal to 184 cm^2. From the formula of the area of the shape you can manipulate and obtain the value of w.
6 0
3 years ago
Y=10 when x=8 what is x when y=30
wolverine [178]

Answer:

X= 24

Step-by-step explanation:

Y was multiplied by 3 to equal 30, so same rules are applied and you multiply 8 by 3

4 0
3 years ago
Read 2 more answers
I need help on this ASAP pls 20 points
Semenov [28]

Answer:

1070cm2

Step-by-step explanation:

the cereal box represents a cuboid and it is closed hence a closed cuboid.

SA- Surface area

L- Length = 15

W- Width =4

H- Height =25

In a closed cuboid, there are going to be 6 faces( 3 pairs).

To find SA, we have to take the area of all faces and sum them up.

You can do this by carrying out the area of all faces and summing them up or you can use the formula:

SA of a closed cuboid=2(L x W) + 2(W x H)  + 2(L x H)

= 2(15 x 4) + 2(4 x 25) + 2(15 x 25)

= 2(60) + 2(100) + 2(375)

=120 + 200 + 750

=<u>1070cm2</u>

4 0
3 years ago
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