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maksim [4K]
3 years ago
13

The math club members were throwing a pizza party and each person had the choice of two slices one topping. 1/2 of the students

wanted pepporonni , 1/4 wanted extra cheese, 1/8 wanted sausage and 4 want mushrooms. How many students were asked
Mathematics
2 answers:
Andrew [12]3 years ago
8 0
1/8 = 4 so then just multiply by 8 to get 32
My name is Ann [436]3 years ago
3 0
Well 1/8 is really actually 4 so then i guess you multiply that by 8 and get 32
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The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.30​, and the sample statistics
IrinaK [193]

Answer: 0.84

Step-by-step explanation:

let p be the population proportion of adults who smoked a cigarette in the past week.

As per given , we have

H_a: p

Sample size : n= 1491

The sample proportion of adults smoked a cigarette= \hat{p}=\dfrac{x}{n}=\dfrac{462}{1491}=0.30985915493\approx0.31

The test statistic for proportion is given by :-

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Substitute all the values , we get

z=\dfrac{0.31-0.30}{\sqrt{\dfrac{0.30(1-0.30)}{1491}}}\\\\=\dfrac{0.01}{\sqrt{0.000141}}\\\\=\dfrac{0.01}{0.011874342087}=0.84261497731\approx0.84

Hence, the value of the test statistic = 0.84

6 0
4 years ago
a submarine dives as shown in the diagram. to the nearest degree, determine the dive angle whose measure is X.​
ollegr [7]

Answer:

75.96

Step-by-step explanation:

Tan= \frac{opposite}{adjacent}

Tan X= \frac{500}{125}

Tan X ^{-1} (Tan X)= Tan X ^{-1}(\frac{500}{125} )

Answer 75.96

3 0
3 years ago
HELP ON THIS PROBLEM!!<br><br> Solve the following 0deg&lt; x&lt; 360deg: cos x= cos 2x
blsea [12.9K]

Answer:

x=0^\circ,120^\circ,240^\circ,360^\circ

Step-by-step explanation:

<u>Use identities to set the equation up as a quadratic</u>

\cos x=\cos 2x;\:0^\circ \leq x \leq 360^\circ\\\\\cos x=2\cos^2 x-1\\\\0=2\cos^2 x-\cos x-1

<u>Make the substitution u=cos(x) and solve the quadratic</u>

<u />0=2u^2-u-1\\\\0=(2u+1)(u-1)

\displaystyle 0=2u+1\\\\0=2\cos x+1\\\\-1=2\cos x\\\\-\frac{1}{2}=\cos x\\\\120^\circ,240^\circ=x

0=u-1\\\\0=\cos x-1\\\\1=\cos x\\\\0^\circ,360^\circ=x

Hence, x=0^\circ,120^\circ,240^\circ,360^\circ

7 0
2 years ago
What is the value of √144
Marysya12 [62]

Answer:

12!

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
What is bigger 0.75 or 1 3/4
Simora [160]
1 3/4 is greater than 0.75 because 1 3/4 is 1.75 and it is greater than 0.75
5 0
3 years ago
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