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frutty [35]
2 years ago
6

An architect builds a scale model of a building, where 1 cm = 0.5 m. If the scale model is 15 cm tall, how tall will the actual

building be, in meters, written as a decimal?
Mathematics
1 answer:
olganol [36]2 years ago
7 0

Answer:

The actual building will be 7.5 m tall

Step-by-step explanation:

Given the scale model value of the building, we want to find the actual height of the building

From the scale model;

1 cm = 0.5m

Thus 15 cm will be 15 * 0.5 = 7.5 m

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2a-6=4a<br><br> Solve for a<br><br> Check your work
algol [13]

Answer:

-3

Step-by-step explanation:

2a - 6 = 4a

subtract 2a giving you -6 = 2a

divide by 2 from both sides so that a will be by itself

giving you -6 ÷ 2 = a

-6 ÷ 2 = -3

so a = -3

5 0
3 years ago
How do I give brainliest I forgot whoever lets me know how I will give them it
dedylja [7]
You have two people answer and whoever answer you think is better you can mark them as brainliest
3 0
2 years ago
Which of the following best describes a cylinder?
alexandr1967 [171]
Hey there!

The shape being described in letter A is a prism. A prism has two polygonal shapes on either end that can be any shape consisting of three or more sides. This won't be your answer, since cylinders have circular bases on either side. 

The shape being described in letter B is a cylinder. Not sure why they needed to throw in the plane part, but this is the only answer that describes the bases as being circular (or, as they put it, discs). 

The shape being described in letter C is a pyramid. If a shape has a polygonal base and meets at a point at the other end, it will be a pyramid. Obviously, a pyramid only has one end, meaning that this isn't your answer. 

The shape being described in letter D is a cone. Again, if a shape has a base and meets at a point, it will be a pyramid. However, in the case of a cone, the base will be circular and the other side will meet at a point. The entire shape will be rounded where a pyramid would have edges. Again, not your answer. 

Your answer will be B. Hope this helped you out! :-)
5 0
3 years ago
Correct Number Formats
IrinaK [193]

Answer:

Step-by-step explanation: From the above question, we have been given some hints to assist in the number interpretation.

Answers are:

-4.99

1.9435

3.25E4

1.56e-9

The above selected numbers have been selected using the hints below:

You cannot have commas in numbers.

You cannot have a space in a number.

You cannot substitute the letter O for zero or the letter l for 1.

You cannot include the units or a dollar sign in the number.

You can have the sign of the number, + or -.

3 0
3 years ago
The weight of an adult swan is normally distributed with a mean of 26 pounds and a standard deviation of 7.2 pounds. A farmer ra
Snezhnost [94]
Let X denote the random variable for the weight of a swan. Then each swan in the sample of 36 selected by the farmer can be assigned a weight denoted by X_1,\ldots,X_{36}, each independently and identically distributed with distribution X_i\sim\mathcal N(26,7.2).

You want to find

\mathbb P(X_1+\cdots+X_{36}>1000)=\mathbb P\left(\displaystyle\sum_{i=1}^{36}X_i>1000\right)

Note that the left side is 36 times the average of the weights of the swans in the sample, i.e. the probability above is equivalent to

\mathbb P\left(36\displaystyle\sum_{i=1}^{36}\frac{X_i}{36}>1000\right)=\mathbb P\left(\overline X>\dfrac{1000}{36}\right)

Recall that if X\sim\mathcal N(\mu,\sigma), then the sampling distribution \overline X=\displaystyle\sum_{i=1}^n\frac{X_i}n\sim\mathcal N\left(\mu,\dfrac\sigma{\sqrt n}\right) with n being the size of the sample.

Transforming to the standard normal distribution, you have

Z=\dfrac{\overline X-\mu_{\overline X}}{\sigma_{\overline X}}=\sqrt n\dfrac{\overline X-\mu}{\sigma}

so that in this case,

Z=6\dfrac{\overline X-26}{7.2}

and the probability is equivalent to

\mathbb P\left(\overline X>\dfrac{1000}{36}\right)=\mathbb P\left(6\dfrac{\overline X-26}{7.2}>6\dfrac{\frac{1000}{36}-26}{7.2}\right)
=\mathbb P(Z>1.481)\approx0.0693
5 0
2 years ago
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