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3 years ago

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A jar of 57 coins contains only dimes and quarters. The value of all the coins in the jar is $10.05. How many dimes are in the j

ar?

1 answer:

lianna [129]3 years ago

8 0

The amount of dimes in the jar is 28!!!!!!!!!! extra info: amount of quarters is 29 q

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Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In p

Bingel [31]

Answer:

A)

<u><em>Null hypothesis:H₀:-</em></u><em> There is no significant difference between in drug resistance between the two states</em>

<u><em>Alternative Hypothesis :H₁:</em></u>

<em>There is significant difference between in drug resistance between the two states</em>

<em>B)</em>

<em>The calculated value Z = 2.7261 > 2.054 at 0.02 level of significance</em>

<em> Rejected H₀</em>

<em>There is a significant difference in drug resistance between the two states.</em>

C)

P - value = 0.0066

<em>P - value = 0.0066 < 0.02</em>

<em>D) </em>

<em>1) Reject H₀ </em>

<em>There is a significant difference in drug resistance between the two states.</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given first sample size n₁ = 174</em>

Suppose that, of 174 cases tested in a certain state, 11 were found to be drug-resistant.

<em>First sample proportion </em>

$p_{1} = \frac{x_{1} }{n_{1} } = \frac{11}{174} = 0.0632$

<em>Given second sample size n₂ = 375</em>

Given data Suppose also that, of 375 cases tested in another state, 7 were found to be drug-resistant

<em>Second sample proportion</em>

<em> </em> $p_{2} = \frac{x_{2} }{n_{2} } = \frac{7}{375} = 0.0186$ <em></em>

<u><em>Step(ii):-</em></u>

<u><em>Null hypothesis:H₀:-</em></u><em> There is no significant difference between in drug resistance between the two states</em>

<u><em>Alternative Hypothesis :H₁:</em></u>

<em>There is significant difference between in drug resistance between the two states</em>

<em>Test statistic</em>

<em> </em> $Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$ <em></em>

<em> Where </em>

<em> </em> $P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1} +n_{2} }$ <em></em>

<em> </em> $P = \frac{174 (0.0632) + 375 (0.0186) }{174+375 } = \frac{17.9718}{549} = 0.0327$ <em></em>

<em> Q = 1 - P = 1 - 0.0327 = 0.9673</em>

<u><em>Step(iii):-</em></u>

<em></em>

<em> Test statistic</em>

<em> </em> $Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$ <em></em>

<em> </em> $Z = \frac{0.0632-0.0186 }{\sqrt{0.0327 X 0.9673(\frac{1}{174 }+\frac{1}{375 } ) } }$ <em></em>

<em> Z = 2.7261</em>

<em> </em>

<em>Level of significance = 0.02 or 0.98</em>

<em>The z-value = 2.054</em>

<em>The calculated value Z = 2.7261 > 2.054 at 0.02 level of significance</em>

<em> Reject H₀ </em>

<em>There is a significant difference in drug resistance between the two states.</em>

<u><em>P- value </em></u>

<em>P( Z > 2.7261) = 1 - P( Z < 2.726)</em>

<em> = 1 - ( 0.5 + A (2.72))</em>

<em> = 0.5 - 0.4967</em>

<em> = 0.0033</em>

we will use two tailed test

<em>2 P( Z > 2.7261) = 2 × 0.0033</em>

<em> = 0.0066</em>

<em>P - value = 0.0066 < 0.02</em>

<em> Reject H₀ </em>

<em>There is a significant difference in drug resistance between the two states.</em>

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3 years ago

What is 5-2x=2x-5 ??? (its curretly 8:20 and I have math homework due :)

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Answer:

x = 5/2

Step-by-step explanation:

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3 years ago

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<span>Elevation of city D is half the elevation of city C, It is given that the evelation of city C is 12 feet above the sea level level. Hence elevation of city D=12/2=6feet above the sea level. This is the answer to part A The elevation of city D=x/2, where x is the elevation of city C in feet. For part B write, here x=12 hence x/2=6 Therefore the elevation of city D is 6feet above the sea level.
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3 years ago

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Marcus is picking songs to play during a slideshow. The songs are each 3\dfrac123

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Answer:

9 songs

Explanation:

Given:

The slideshow is 31 whole number 1/2 minutes long

convert to an improper fraction

31×2+1/2 = 63/2

The songs are each 3 whole number 1/2 minutes long

convert to an improper fraction

3×2+1/2 = 7/2

To find the number of songs that Marcus is picking to play during a slideshow, divide the slideshow by the long of one song

(63/2) / (7/2)

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2 years ago

An isosceles triangle with legs of 9 cm and a base of 10 cm in length has a median drawn from its vertex angle to its base. What

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Answer: $7.48\ cm$

Step-by-step explanation:

Given

The equal side of two isosceles triangle are $9\ cm$ long

Base of the triangle is $10\ cm$ long

Median divides the base into two equal halves

from the figure, it can be written

$\Rightarrow 9^2=5^2+h^2\\\Rightarrow h^2=9^2-5^2\\\Rightarrow h=\sqrt{81-25}\\\Rightarrow h=\sqrt{56}\\\Rightarrow h=7.48\ cm$

The length of the segment is $7.48\ cm$

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2 years ago