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MariettaO [177]
3 years ago
9

On monday 254 students went on a trip to the zoo all 5 buses were filled 9 students had to travel in cars how many students were

in each bus ?
Mathematics
1 answer:
Greeley [361]3 years ago
5 0

254 - 9 = 245 students on buses

245 students / 5 buses = 49 students per bus.

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3x+4y=25<br> 3x-3y=-3<br> Following system of equations write answer as an ordered pair
Charra [1.4K]
3x+4y=25\\&#10;3x-3y=-3|\cdot(-1)\\\\&#10;3x+4y=25\\&#10;\underline{-3x+3y=3}\\&#10;7y=28\\&#10;y=4\\\\&#10;3x-3\cdot4=-3\\&#10;3x-12=-3\\&#10;3x=9\\&#10;x=3\\\\&#10;\boxed{(x,y)=(3,4)}&#10;
5 0
3 years ago
From past experience, the organization knows that about 20% of all potential donors will agree to give something if contacted by
Veronika [31]

Answer:

Total number of  donor who will give first $ 100 = 100 people  

Step-by-step explanation:

Given that:

Total percentage of people who donate when contact by phone 20%

Percentage of donating people who will give $100 or more = 5% = 0.05

Total number of donor who will give first $ 100 can be calculated as

calculate the percentage of donor who will give first $ 100  

P(X) =  0.05\times 0.20 = 0.01\ percent

\mu_x = \frac{1}{0.01}

so, total number of the donor who will give first $ 100 = 100 people  

3 0
3 years ago
A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon. It was felt that gasoline price i
slava [35]

Answer:

<em>alternative hypothesis : H₁ :</em>

<em>Recent  Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>

<em>Alternative Hypothesis : H₁: μ < $1.298 a gallon</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon

<em>Population average μ= $1.298 a gallon</em>

<em>sample size 'n' = 37</em>

<em>Sample mean (x⁻) = $1.192 a gallon </em>

<em>Sample standard deviation 'S' = $0.0436</em>

<em>Null hypothesis :H₀ : μ =  $1.298 a gallon</em>

<em>Alternative Hypothesis : μ < $1.298 a gallon</em>

<em>Degrees of freedom : ν = n-1= 37-1=36</em>

<em>t₀.₀₂₅ = 1.688</em>

<em>Test statistic </em>

<em>                        </em>t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }<em></em>

<em>                        </em>t = \frac{1.192-1.298 }{\frac{0.0436}{\sqrt{37} } }<em></em>

<em>                      t =  -14.8044</em>

<em>|t| = |-14.8044| > 1.688</em>

<em>Null hypothesis is rejected </em>

<em>Alternative hypothesis is accepted </em>

<em>Recent  Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>

6 0
3 years ago
Find g.<br> Write your answer as an integer or as a decimal rounded to the nearest tenth.
Soloha48 [4]

Step-by-step explanation:

\frac{EG}{  \sin(/EFG)  } =   \frac{EF}{ \sin(/EFG) }  \\  \frac{7}{ \sin(36°) }  =  \frac{g}{ \sin(121°) }  \\ g = 10.208

6 0
3 years ago
Identify all solutions for a triangle with A - 38°, b= 10, and a=8. Round to the nearest tenth.
Alex

Answer:

B= 50.35°

C=91.65°

c= 12.77

Step-by-step explanation:

Given:

A = 38°

b= 10 and a=8.

Required:

angles B and C, and sides c.

By  using the rule for law of sines

sin B=b\frac{sinA}{a} = \frac{(10)(0.62)}{8} => 0.77

B= sin^-^1(0.77) => 50.35°

For angle C:

angle C= 180 - A - B => 180 - 38 - 50.35

            =91.65°

For side c:

c=a(\frac{sinC}{sinA} ) => 8(\frac{0.99}{0.62})

c= 12.77

3 0
3 years ago
Read 2 more answers
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