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zaharov [31]
2 years ago
10

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total

of 16 people took the trip. She was able to purchase coach tickets for $160 and first class tickets for $1140. She used her total budget for airfare for the trip, which was $9420. How many first class tickets did she buy? How many coach tickets did she buy?
Mathematics
1 answer:
g100num [7]2 years ago
6 0

Answer:

  • 7 first class
  • 9 coach

Step-by-step explanation:

Let f represent the number of first-class tickets that Sarah bought. Then she bought (16-f) coach tickets. Her total spending for airfare was ...

  1140f +160(16-f) = 9420

  980f +2560 = 9420 . . . . simplify

  980f = 6860 . . . . . . . . subtract 2560

  f = 7 . . . . . . . . . . . . . divide by 980; number of first-class tickets

  (16-f) = 9 . . . . . coach tickets

Sarah bought 7 first-class tickets and 9 coach tickets.

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Find f(-3) it f(x) =x^2
xeze [42]

Answer:

9

Step-by-step explanation:Replace the variable  

x  with  − 3  in the expression.  f ( − 3 )  =  ( − 3 ) 2  Simplify  (− 3 ) 2 .  Remove parentheses.  ( − 3 ) 2  Raise  − 3  to the power of  2 . 9

4 0
3 years ago
At most, Sybil types 56 words per minute. Which inequality represents this situation?
ki77a [65]
At most she types 56 words per minute.....so she types 56 words or less

w < = 56....answer is A
5 0
3 years ago
Read 2 more answers
The reading speed of second grade students in a large city is approximately normal, with a mean of 90 words per
kari74 [83]

Answer:

The probability that a random sample of 10 second grade students from     the city results in a mean  reading rate of more than 96 words per minute

P(x⁻>96) =0.0359

Step-by-step explanation:

<em>Explanation</em>:-

<em>Given sample size 'n' =10</em>

<em>mean of the Population = 90 words per minute</em>

<em>standard deviation of the Population =10 wpm </em>

<em>we will use formula</em>

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

<em>Let X⁻  = 96</em>

                           Z = \frac{96-90 }{\frac{10}{\sqrt{10} } }

                          Z =  1.898

<em>The probability that a random sample of 10 second grade students from     the city results in a mean  reading rate of more than 96 words per minute</em>

<em></em>P(X^{-}>x^{-} ) = P(Z > z^{-} )<em></em>

<em>                    = 1- P( Z ≤z⁻)</em>

<em>                    = 1- P(Z<1.898)</em>

                   = 1-(0.5 +A(1.898)

                   = 0.5 - A(1.898)

                   = 0.5 -0.4641 (From Normal table)

                  = 0.0359

<u><em>Final answer</em></u>:-

The probability that a random sample of 10 second grade students from  

                = 0.0359

4 0
3 years ago
The production department has installed a new spray machine to paint automobile doors. As is common with most spray guns, unsigh
Nesterboy [21]

Answer:

The numbers of doors that will have no blemishes will be about 6065 doors

Step-by-step explanation:

Let the number of counts by the  worker of each blemishes on the door be (X)

The distribution of blemishes followed the Poisson distribution with parameter  \lambda =0.5 / door

The probability mass function on of a poisson distribution Is:

P(X=x) = \dfrac{e^{- \lambda } \lambda ^x}{x!}

P(X=x) = \dfrac{e^{- \ 0.5 }( 0.5)^ x}{x!}

The probability that no blemishes occur is :

P(X=0) = \dfrac{e^{- \ 0.5 }( 0.5)^ 0}{0!}

P(X=0) = 0.60653

P(X=0) = 0.6065

Assume the number of paints on the door by q = 10000

Hence; the number of doors that have no blemishes  is = qp

=10,000(0.6065)

= 6065

3 0
3 years ago
liam combines 5/6 pounds of peanuts, 5/6 pf cashews and 5/6 pounds of almonds make a batch of mixed nuts. He divides the combine
vaieri [72.5K]
Find total :

\dfrac{5}{6} +  \dfrac{5}{6} +  \dfrac{5}{6} =  \dfrac{15}{6}

Find pounds of nuts in each bag :

\dfrac{15}{6} \div 8

\dfrac{15}{6} \times  \dfrac{1}{8}

\dfrac{5}{16}

\bf \text {Answer: There are }  \dfrac{5}{16}  \text { pound of nuts in each bag}

8 0
3 years ago
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