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vodka [1.7K]
3 years ago
14

How many acute angles are in an acute triangle?

Mathematics
1 answer:
Leokris [45]3 years ago
8 0

Answer:

Three acute angles.

Explanation:

There are always three acute angles in an acute triangle.

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Find the inverse function of y=7x.
olga2289 [7]

Answer:

f^−1(x)=x7

Step-by-step explanation:

To find the inverse , inerchange the variable and slove for Y

5 0
2 years ago
A selective university advertises that 96% of its bachelor’s degree graduates have, on graduation day, a professional job offer
OLEGan [10]

Answer:

The probability is  P( p <  0.9207) = 0.0012556

Step-by-step explanation:

From the question we are told

  The population proportion is p = 0.96

 The sample size is  n  =  227

 The number of graduate who had job is  k = 209

Generally given that the sample size is large enough  (i.e n >  30) then the mean of this sampling distribution is  

       \mu_x = p = 0.96

Generally the standard deviation of this sampling distribution is  

    \sigma  = \sqrt{\frac{p (1 - p )}{n} }

=>  \sigma  = \sqrt{\frac{0.96 (1 - 0.96 )}{227} }

=>  \sigma  = 0.0130

Generally the sample proportion is mathematically represented as

      \^ p =  \frac{k}{n}

=> \^ p =  \frac{209}{227}

=> \^ p =  0.9207

Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as

     P( p <  0.9207) = P( \frac{\^ p - p }{\sigma } <  \frac{0.9207 - 0.96}{0.0130 }  )

\frac{\^ p - p}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \^ p )

   P( p <  0.9207) = P(Z< -3.022 )

From the z table  the area under the normal curve to the left corresponding to    -3.022  is

     P(Z< -3.022 ) = 0.0012556

=> P( p <  0.9207) = 0.0012556

6 0
3 years ago
After 6 years, an account that earns 4% simple interest has earned %480 in interest. How much was the initial deposit?
Paha777 [63]

Answer:

$2000

Step-by-step explanation:

The formula for simple interest is:

i=Prt

Where

i is the interest earned

P is the initial deposit

r is the rate of interest (in decimal)

t is the time

Now, in the problem, it is given:

i = 480

r = 4% = 4/100 = 0.04

t = 6

Now, we substitute and find the value of P (initial deposit):

i=Prt\\480=P(0.04)(6)\\480=P(0.24)\\P=\frac{480}{0.24}\\P=2000

Hence, the initial deposit was $2000

8 0
3 years ago
Yal.................................................................
tamaranim1 [39]

Answer:

Change 10 (Last number at the end in the Flour (Cups) row) to 20. You need 20 cups of flour.

Step-by-step explanation:

7 0
3 years ago
How is fluid pressure related to fluid depth
lara [203]
It depends on the fluid.

For (approximately) incompressible fluids, the pressure is (approximately) linearly related to the depth.

_____
For compressible fluids, it will depend on the curve of pressure vs. density.
7 0
3 years ago
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