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Alla [95]
3 years ago
12

Explain how you know whether to add or subtract when you use the distributive property to multiply

Mathematics
1 answer:
MissTica3 years ago
7 0
If you use a distributive or multiply is all kind a same

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The burning times of scented candles, in minutes, are normally distributed with a mean of 249 and a standard deviation of 20. Fi
Marysya12 [62]

Answer:

The candle burns for 244 minutes.

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question, we have that:

\mu = 249, \sigma = 20

Find the number of minutes a scented candle burns if it burns for a shorter time than 60% of all scented candles.

This is the 100-60 = 40th percentile, which is X when Z has a pvalue of 0.4. So X when Z = -0.253.

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

-0.253 = \frac{X - 249}{20}

X - 249 = -0.253*20

X = 244

The candle burns for 244 minutes.

7 0
3 years ago
The width of a virus is 2.0 x 10 to the(-7)th meter. Write this number in standard decimal notation
nikklg [1K]

2×10^(-7)=0.0000002m

You have 6 zeros in front of 2.

8 0
3 years ago
What is the surface area of the triangular prism shaped toy car ramp
3241004551 [841]

Answer:

400 square inches

Step-by-step explanation:

surface area= summation of area of all the faces the object has

out object has 2 triangular faces, and 3 rectangular faces

S.A = 2(0.5bh) + LW +LW+LW

= 2(0.5 x 8 x 15) + (15x7) + (17 x 7) + (7×8)

= 120+105+119+56

= 400 square inches

6 0
1 year ago
Two cards are selected at random from a standard deck of cards. What is the probability that you select a king or a queen? (If y
Alenkasestr [34]

Answer:

2/13

Step-by-step explanation:

In a standard deck of cards, there are 52 cards total, 4 kings, and 4 queens.

Probability is calculated by (number of favorable outcomes)/(number of possible outcomes), so our probability would be 8/52, which can be simplified to 2/13.

Hope this helps!

7 0
3 years ago
Solve for θ. <br>sin(74) = cos(θ) <br><br>1. 6° <br>2. 74° <br>3. 36° <br>4. 16° ​
Marianna [84]

Sin74 = Cos16

cause 16 + 74 = 90

Whenever the sum of two angles is equal with 90, the Sin of one is equal with the Cos of the other like :

Sin(30) = Cos(60)

and also

Tan(30) = Cot(60)

5 0
3 years ago
Read 2 more answers
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