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liberstina [14]
2 years ago
13

Women's heights are normally distributed with a mean given by p = 63.6 in. and a standard deviation given by o = 2.5 in. (a) If

1' woiman is randomly selected, find the probability that her height is less than 67.4 in. Enter a number correct to 4 decimal places: (b): 1f 64 women are randomly selected, find the probability that they will have a mean height less than 67.4 in. Enter a number correct to 4 decimal places:​
Mathematics
1 answer:
Ganezh [65]2 years ago
4 0

Step-by-step explanation:

I am sorry question samajh Nahin a Raha question dijiye

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Determine whether the triangles are congruent. Explain your reasoning .
Vanyuwa [196]

Answer:

The triangles are congruent by congruency theorem SAS.

Step-by-step explanation:

Side-Angle-Side, as it suggests, is when a triangle is congruent by the order of congruent side, congruent angle, and another congruent side. If named certain ways, they can be congruent. Since the question does not provide a specific way of naming the triangles, we can assume that any way is allowed. 2.5 and 2.5 are congruent, followed by angles D and G which have the congruent angle markers. The congruent angles are followed by 1.7 and 1.7, making the triangles congruent by Side-Angle-Side.

7 0
3 years ago
Gabriel invested $77,000 in an account paying an interest rate of 3%
const2013 [10]

Answer:

Isabella earn 5604.54 more money than  Gabriel

Step-by-step explanation:

As we know

Compound interest (CI) = P (1 + \frac{r}{n})^{nt}

P is the principal amount

t is the time period

n is the number of time periods

r is the rate of interest

a)  CI for  Gabriel

= 77000 (1 + \frac{3}{100*12})^{12*6} = 92165.03 dollars

b) CI for Isabella

= 77000 (1 + \frac{4}{100*4})^{4*6} = 97769.57 dollars

Isabella earn 5604.54 more money than  Gabriel

7 0
2 years ago
A circle has its center at the origin, and (5, -12) is a point on the circle. How long is the radius of the circle?
aivan3 [116]
Hello here is a solution :
<span> the radius of the circle is OA        A(5;-12) and O (0;0)
OA= </span><span>  square root ((5-0)² + (-12-0)²) 
</span>     = <span>  square root (25+144) 
</span>     = <span>  square root(169)
</span> OA = 13

7 0
3 years ago
Read 2 more answers
Mason is preparing for an endurance running competition. On Friday, he ran 15 3/5 miles. On Saturday, he ran twice as much as he
REY [17]
He ran for 34 and 19/20 miles
7 0
3 years ago
Read 2 more answers
Section 5.2 Problem 6:<br><br>Find the general solution<br><img src="https://tex.z-dn.net/?f=y%27%27%20%2B%206y%27%20%2B%2010y%2
mihalych1998 [28]

Answer:

y=e^{-3t}(A\: cos\: t+B\:sin\:t)

Step-by-step explanation:

<u>Given Second-Order Homogenous Differential Equation</u>

y''+6y'+10y=0

<u>Use Auxiliary Equation</u>

<u />m^2+6m+10=0\\\\(m+3)^2+1=0\\\\(m+3)^2=-1\\\\m+3=\pm i\\\\m=-3\pm i

<u>General Solution</u>

<u />y=e^{pt}(A\: cos\: qt+B\:sin\:qt)\\\\y=e^{-3t}(A\: cos\: t+B\:sin\:t)

Note that the DE has two distinct complex solutions p\pm qi where A and B are arbitrary constants.

4 0
1 year ago
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