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3 years ago

Find the area of a triangle with a base of 7.5 m and a height of 4*

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

8 0

Answer:

15 units²

Step-by-step explanation:

Hi there!

$A=\displaystyle\frac{1}{2} bh$ where <em>b</em> is the base and <em>h</em> is the height

Plug in the base (7.5) and height (4):

$A=\displaystyle\frac{1}{2} (7.5)(4)\\\\A=\displaystyle\frac{1}{2} (30)\\\\A=15$

Therefore, the area of the triangle is 15 units².

I hope this helps!

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A random sample of 10 shipments of stick-on labels showed the following order sizes.10,520 56,910 52,454 17,902 25,914 56,607 21

sammy [17]

Answer:

Confidence Interval: (21596,46428)

Step-by-step explanation:

We are given the following data set:

10520, 56910, 52454, 17902, 25914, 56607, 21861, 25039, 25983, 46929

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{340119}{10} = 34011.9$

Sum of squares of differences = 551869365.6 + 524322983.6 + 340111052.4 + 259528878 + 65575984.41 + 510538544 + 147644370.8 + 80512934.41 + 64463235.21 + 166851472.4 = 2711418821

$S.D = \sqrt{\frac{2711418821}{9}} = 17357.09$

Confidence interval:

$\mu \pm t_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 9 and}~\alpha_{0.05} = \pm 2.2621$

$34011.9 \pm 2.2621(\frac{17357.09}{\sqrt{10}} ) = 34011.9 \pm 12416.20 = (21595.7,46428.1) \approx (21596,46428)$

7 0

3 years ago

What is the answer to this decimal problem 0.32÷n=0.032

11111nata11111 [884]

10 because you know that the decimal moves one to the left if you are dividing by ten and one to the right if you are multiplying by ten.

Check your work. 0.32 divided by 10 is 0.032

6 0

2 years ago

Read 2 more answers

IM CONFUSED PLEASE HELP! THANK YOU!

11111nata11111 [884]

Answer:

Hope This Help If Not Sorry

Step-by-step explanation:

minimum In mathematical analysis, the maxima and minima of a function, known collectively as extrema, are the largest and smallest value of the function, either within a given range, or on the entire domain.