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kicyunya [14]
3 years ago
7

PLEASE HELPP!!!

Mathematics
1 answer:
gogolik [260]3 years ago
4 0

Answer:

Area of triangle B is 112 cm²

Option A is correct option.

Step-by-step explanation:

The dimensions of triangle B are twice the dimensions of triangle A.

Area of triangle A = 28 cm²

We need to find area of triangle B

We know that if base = b and height = h for triangle A

The area of triangle A will be: Area_A=\frac{1}{2}\times b \times h

The dimensions for triangle B will be:

h_B = 2 h_A\\b_B = 2 b_A

Putting in formula we get:

Area_B=\frac{1}{2}\times b\times h \\Area_B=\frac{1}{2}\times (2b)\times 2(h)\\Area_B=4( \frac{1}{2}\times b\times h)\\Area_B=4(Area_A)

SO, we get Area_B=4(Area_A)\\

We have Area_A = 28 cm²

Area of triangle B Area _B is:

Area_B=4(28)\\Area_B=112\:cm^2

So, Area of triangle B is 112 cm²

Option A is correct option.

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Mark buys Apple stock for $100 and its value increases by a factor of 1.5 each week. Which equation represents the relationship
Bingel [31]

Given:

Initial value of the stock = $100

Growth factor = 1.5 each week.

To find:

The equation that represents the relationship between the number of weeks past since purchase and the current value of the stock.

Solution:

Let V be the current value of the stock after t week.

The exponential growth model is:

V=ab^t

Where, a is the initial value of stock, b is the weekly growth factor, t is the number of weeks.

Substituting a=100,b=1.5, we get

V=100(1.5)^t

Therefore, the required equation for the given situation is V=100(1.5)^t.

3 0
3 years ago
48-(-12) help me i need it
trasher [3.6K]
Use the parenthesis and join it together to make an addition sign. Then plug 48 +12 into a calculator. ANSWER: 60
4 0
3 years ago
Read 2 more answers
The mean number of words per minute (WPM) read by sixth graders is 97 with a standard deviation of 19 WPM. If 75 sixth graders a
andrey2020 [161]

Answer:

0.0174 = 1.74% probability that the sample mean would be greater than 101.63 WPM

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}};

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 97, \sigma = 19, n = 75, s = \frac{19}{\sqrt{75}} = 2.1939

What is the probability that the sample mean would be greater than 101.63 WPM?

This is 1 subtracted by the pvalue of Z when X = 101.63. So

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

By the Central Limit Theorem

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

Z = \frac{101.63 - 97}{2.1939}

Z = 2.11

Z = 2.11 has a pvalue of 0.9826.

1 - 0.9826 = 0.0174

0.0174 = 1.74% probability that the sample mean would be greater than 101.63 WPM

5 0
3 years ago
Q # 4 anybody help me please
Marysya12 [62]

<u>Answer</u>

-5/3, -1,  0.7,  √2,   √5


<u>Explanation</u>

√5 = 2.236

-1 ⇒ this is less than 1.  

-5/3 = -1.666667    this is less than 1.  -5/3 < -1

0.7 > -1

√2 = 1.414        ⇒     √5 > √2

Arranging them from the least to the greatest;

-5/3, -1,  0.7,  √2,   √5

8 0
3 years ago
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Elena-2011 [213]
First you distribute making it 4y-24=0
second you isolate the variable making it 4y=24
finally you divide by four giving you the answer of y=6
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