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sveta [45]
2 years ago
10

Write an expression that is equivalent to 21h - 10h + 16 - 9 + 14h + 5 .

Mathematics
1 answer:
Annette [7]2 years ago
3 0

Answer:

25h+12

Step-by-step explanation:

Add the numbers :

21h-10h + <em>16</em><em>-</em><em>9</em><em> </em><em>+</em><em> </em>14h<em>+</em><em> </em><em>5</em>

21h-10h + <em>12</em><em> </em>+ 14h

Combine like terms:

25h + 12

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Dan rolls 2 fair dice and adds the results from each. Work out the probability of getting a total less than 3.
agasfer [191]

Answer:

1 / 36

Step-by-step explanation:

A roll of 2 fair dice :

Total number of possible outcomes = n² ; n = number of faces in a dice = 6² = 36

Probability = required outcome / Total possible outcomes

Required outcome = total less than 3 = 1 (from sample space provided)

Hence,

P(total less than 3) = 1/36

8 0
3 years ago
In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean
Otrada [13]

Answer:

a=1050 -0.126*218=1022.532

So the value of height that separates the bottom 45% of data from the top 55% is 1022.532.  

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Solution to the problem

Let X the random variable that represent the consumption levels of a population, and for this case we know the distribution for X is given by:

X \sim N(1050,218)  

Where \mu=1050 kWh and \sigma=218kWh

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.55   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.45 of the area on the left and 0.55 of the area on the right it's z=-0.26. On this case P(Z<-0.126)=0.45 and P(z>-0.126)=0.55

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.126=\frac{a-1050}{218}

And if we solve for a we got

a=1050 -0.126*218=1022.532

So the value of height that separates the bottom 45% of data from the top 55% is 1022.532.  

8 0
3 years ago
Tropical islands have many rainstorms during the afternoon heat. One particular tropical island has a 79% chance of a
noname [10]

Answer:

C

Step-by-step explanation:

I got it right on Edge.

6 0
3 years ago
I'm a little bit confused about how to approach this can someone help?
Taya2010 [7]

Answer:

4

Step-by-step explanation:

ΔABC is congruent with ΔDEF.  That means the corresponding sides are congruent.

Look at the order of the letters.  EF are the last two letters of ΔDEF.  So this corresponds with the last two letters of ΔABC.  Therefore, EF ≅ BC.

EF ≅ BC

x² + 8x = 48

x² + 8x − 48 = 0

(x + 12) (x − 4) = 0

x = -12 or 4

Since x can't be negative, x = 4.

5 0
3 years ago
Can someone double check my answer please !!
Anuta_ua [19.1K]

Answer:

C

Step-by-step explanation:

gg

6 0
2 years ago
Read 2 more answers
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