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guajiro [1.7K]
2 years ago
6

A magazine presented a lesson in hypothesis testing carried out by medical students in a biostatistics class. Students were​ bli

nd-folded and then given a​ red-colored or​ yellow-colored gummy bear to chew.​ (Half the students were randomly assigned to receive the red gummy bear and half to receive the yellow bear. The students could not see what color gummy bear they were​ given.) After​ chewing, the students were asked to guess the color of the candy based on the flavor. Of the 123 students who participated in the​ study, 70 correctly identified the color of the gummy bear.
If there is no relationship between color and gummy bear flavor, what proportion of the population of students will correctly identify the color?
Mathematics
1 answer:
zzz [600]2 years ago
6 0

Answer:

p = 0.5

Step-by-step explanation:

in order to determine what proportion of the population of students will correctly identify the color

given that

n  = 123

x = 70

sample proportion P = X/N =  70/123

P = 0.569

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Kara paid $24.64 to ship 11 packages. Each package was the same size and weight. How much did it cost to ship 1 package
gayaneshka [121]

Answer:

$2.24

Step-by-step explanation:

The shipping cost for one package was 1/11 of the total shipping cost.

... 1/11 · $24.64 = $2.24

5 0
2 years ago
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Each month Liz pays $35 to her phone company just to use the phone. Each text she sends costs her an additional $0.05. In March
olchik [2.2K]
First let's set up an equation: 35+0.05t. 
35 is the phone rate per month plus the number of texts (t) times 0.05 (cost of 1 text)

Now we can find the amount of texts she sent each month.

March
 35+0.05t=72.60
-35               -35
0.05t=37.60
------   -------
0.05    0.05
t=752

April
 35+0.05t=65.85
-35            -35
0.05t=30.85
------   -------
0.05    0.05
t=617

She sent 752 texts in March and 617 texts in April.


7 0
2 years ago
EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi
Valentin [98]

If there is such a scalar function <em>f</em>, then

\dfrac{\partial f}{\partial x}=4y^2

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}

\dfrac{\partial f}{\partial z}=16ye^{4z}

Integrate both sides of the first equation with respect to <em>x</em> :

f(x,y,z)=4xy^2+g(y,z)

Differentiate both sides with respect to <em>y</em> :

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}

\implies\dfrac{\partial g}{\partial y}=4e^{4z}

Integrate both sides with respect to <em>y</em> :

g(y,z)=4ye^{4z}+h(z)

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :

f(x,y,z)=4xy^2+4ye^{4z}+h(z)

\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}

\implies\dfrac{\mathrm dh}{\mathrm dz}=0

Integrate both sides with respect to <em>z</em> :

h(z)=C

So we end up with

\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}

7 0
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nirvana33 [79]
Sinα=h/L  where h=height, L=string length...

h=Lsinα  so

h(25°)=50sin25≈21.1ft

h(45°)=50sin45≈35.4ft
5 0
2 years ago
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kifflom [539]
Answer: B
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However, the line after the $30 says $900.59, which is incorrect.

Hope this helps!
6 0
2 years ago
Read 2 more answers
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