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Mice21 [21]
3 years ago
7

Find the area of the irregular figure. Round to the nearest hundredth.

Mathematics
2 answers:
Olegator [25]3 years ago
7 0
The answer is 137.5in^2
blondinia [14]3 years ago
5 0

Answer:

137.5 in^2

Step-by-step explanation:

So, this is basically a rectangle and two right-sides triangles.

First the rectangle: Formula is A=wl

Replace the Values: A = 14*7 98 in^2

Then we solve for the two right-sides triangles.

A= 1 /2a h= 1 /4 b ^2 sin (2 θ )

Top trinangle= A = 25.5 in^2     (height 7 in base 7 in)

Bottom Trinagle  A = 14 in^2      (height 7 in base 4 in)

Add results:

98+25.5+14 = 137.5 in^2

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Directions for questions 4 & 5: We selected a random sample of 100 StatCrunchU students, 67 females and 33 males, and analyz
GaryK [48]

Answer:

The 95% confidence interval for the difference between means is (-2164.21, -299.13).

The lower limit on the confidence interval is -$2164.21.

The upper limit on the confidence interval is -$299.13.

Step-by-step explanation:

The sample data is:

Gender   Mean          Std. dev.     n

Female    2577.75      1916.29     67

Male        3809.42     2379.47     33

We have to calculate a 95% confidence interval for the difference between means, with a T-model.

The sample 1, of size n1=67 has a mean of 2577.75 and a standard deviation of 1916.29.

The sample 2, of size n2=33 has a mean of 3809.42 and a standard deviation of 2379.47.

The difference between sample means is Md=-1231.67.

M_d=M_1-M_2=2577.75-3809.42=-1231.67

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{1916.29^2}{67}+\dfrac{2379.47^2}{33}}\\\\\\s_{M_d}=\sqrt{54808.468+171572.045}=\sqrt{226380.513}=475.795

The t-value for a 95% confidence interval is t=1.96.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=1.96 \cdot 475.795=932.54

Then, the lower and upper bounds of the confidence interval are:

LL=M_d-t \cdot s_{M_d} = -1231.67-932.54=-2164.21\\\\UL=M_d+t \cdot s_{M_d} = -1231.67+932.54=-299.13

The 95% confidence interval for the difference between means is (-2164.21, -299.13).

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3 years ago
What is the simplified form of the following expression?
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Answer:

Step-by-step explanation:

3 0
3 years ago
rope price of length 45cm 25 cm and 81 cm have to be cut into same size pieces what is the smallest price length possible​
Sergeeva-Olga [200]

= 2025

When you are told to find the smallest length possible, you perform L.C.M(Least common multiples)

For this, you divide the given lengths using the numbers that divides all through.

I have added an image to this answer. Go through it for more explanation

5 0
2 years ago
2 sin^2(x) + 3sin(x) + 1 - 0 in radians
alexira [117]
This was a quadratic formula
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Find the length of side X
NISA [10]

Answer:

C

Step-by-step explanation:

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