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3 years ago

There are 3 feet in 1 yard. Therefore, 1 square yard is equivalent to

Mathematics

2 answers:

nydimaria [60]3 years ago

5 0

It is equivalent to 1,000 feet

sveticcg [70]3 years ago

3 0

1yd^2 = 9ft^2 hope this helps

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The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park

Andreas93 [3]

Answer:

Step-by-step explanation:

We have total 1200 wildflowers in first year that is first term a is 1200

We have to find sigma notation showing the infinite growth of the wildflowers.

$wildflowers=\sum_{i=1}^{\infty }1200(\frac{1}{4})^{i-1}$

Formula for infinite sum of GP is $S_{\infty}=\frac{a}{1-r}$

Here, $a=1200,r=\frac{1}{4}$

On substituting the values in the formula of sum we get:

$S_{\infty}=\frac{1200}{1-\frac{1}{4}}$

On simplification we get:

$S_{\infty}=\frac{1200}{\frac{3}{4}}=1600$

Therefore, total sum of wildflowers 1600.

5 0

3 years ago

Read 2 more answers

☺

Fittoniya [83]

Answer: 1 teashirt=7 L

1 hat= 3L

Step-by-step explanation:

2 T shirts= 31 - 17

2 T shirts= 14

1 T shirt=14/2

1 T = 7 L

14L+ 1H=17 L

one hat = 17 - 14=3 L

8 0

3 years ago

Which quantity is proportional to 21/3

suter [353]

Answer:

7/1 you can simplify the top and bottom by 3

Step-by-step explanation:

7 0

2 years ago

The distribution of resistance for resistors of a certain type is known to be normal, with 10% of all resistors having a resista

baherus [9]

Answer:

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

Step-by-step explanation:

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.

10% of all resistors having a resistance exceeding 10.634 ohms

This means that when X = 10.634, Z has a pvalue of 1-0.1 = 0.9. So when X = 10.634, Z = 1.28.

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

$1.28 = \frac{10.634 - \mu}{\sigma}$

$10.634 - \mu = 1.28\sigma$

$\mu = 10.634 - 1.28\sigma$

5% having a resistance smaller than 9.7565 ohms.

This means that when X = 9.7565, Z has a pvalue of 0.05. So when X = 9.7565, Z = -1.96.

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

$-1.96 = \frac{9.7565 - \mu}{\sigma}$

$9.7565 - \mu = -1.96\sigma$

$\mu = 9.7565 + 1.96\sigma$

We also have that:

$\mu = 10.634 - 1.28\sigma$

$10.634 - 1.28\sigma = 9.7565 + 1.96\sigma$

$1.96\sigma + 1.28\sigma = 10.645 - 9.7565$

$3.24\sigma = 0.8885$

$\sigma = \frac{0.8885}{3.24}$

$\sigma = 0.2742$

The mean is

$\mu = 10.634 - 1.28\sigma = 10 - 1.28*0.2742 = 9.65$

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

8 0

3 years ago

Find x, y, and z.<br><br> Show all of your work for full credit.

Stella [2.4K]

If you can't read it, I'll do my best to translate:
Z) 10^2 + 5^2 = 125
√125 = 11.18 = Z

Y) tan-1(5/10) = 26.57°
90 + 26.57 = 116.57
180 - 116.57 = 63.43°
5 ÷ sin(63.43) = 8.88 = Y

X) 11.18^2 + 8.88^2 = 203.8468
√203.8468 = 14.28
14.28 - 10 = 4.28 = x

All numbers are rounded to 2 decimal places, if you need any explanations for why I did something then just let me know :)
I hope this helps!

7 0

3 years ago