1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rama09 [41]
3 years ago
8

The cost of a banquet can be calculated using the function

Mathematics
1 answer:
kotykmax [81]3 years ago
3 0

Answer:

3 people attended the banquet

Step-by-step explanation:

The function is given as:

b = 75 + 15n where

b represents the total = 122

n represents the number of people attending = ??

If the total cost of the banquet is 122, how many people attended the banquet?

Hence,

122 = 75 + 15n

122 - 75 = 15n

47 = 15n

Divide both sides by 15

n = 47/15

n = 3.1333333333

Approximately to the nearest whole number = 3

Therefore, 3 people attended the banquet.

You might be interested in
5. A ball is thrown upward with an initial velocity of 50 feet per second. The
dangina [55]

Answer:

SEE BELOW IN BOLD.

Step-by-step explanation:

a.

h = -16t^2 + 50t

h = 20 t

When the height is the same:

-16t^2 + 50t = 20t

-16t^2  + 30t = 0

t(-16t + 30) = 0

t = 0 or  -16t + 30 = 0, so:

t = 0 or -30/-16 = 1.875

So the answer is 1.88 seconds to the nearest hundredth.

b.

For the ball

h = -16t^2 + 50t

Finding the derivative and equating to zero:

dh/dt = -32t + 50 = 0

t = -50/-32 = 1.563

Maximum height after 1.56 seconds to nearest hundredth

c.

When the ball hits the ground h = 0 so

-16t^2 + 50t = 0

-16t(t - 50/16)= 0

T = 3.13 SECONDS TO THE NEAREST HUNDERDTH

7 0
2 years ago
Assume that the empirical rule is a good model for the time it takes for all passengers to board an airplane. The mean time is 4
slamgirl [31]

Answer:

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 48, \sigma = 4.

Which interval describes how long it takes for passengers to board the middle 95% of the time?

This is between the 2.5th percentile and the 97.5th percentile.

So this interval is the value of X when Z has a a pvalue of 0.025 and the value of X when Z has a pvalue of 0.975

Lower Limit

Z has a pvalue of 0.025 when Z = -1.96. So

Z = \frac{X - \mu}{\sigma}

-1.96 = \frac{X - 48}{4}

X - 48 = -1.96*4

X = 40.16

Upper Limit

Z has a pvalue of 0.975 when Z = 1.96. So

Z = \frac{X - \mu}{\sigma}

1.96 = \frac{X - 48}{4}

X - 48 = 1.96*4

X = 55.84

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

7 0
3 years ago
112 is 70% of _______
aliina [53]

Answer:

160

Step-by-step explanation:

70% of 160=112.

A handy trick is to divide the number by the percentage.

Brainliest please I need those points.

8 0
3 years ago
Read 2 more answers
9th grade math should be ez I’m tired please fast
ivanzaharov [21]

Answer:

Z=BY+R

Step-by-step explanation:

B=z-r/y

separate Z by it's self. Z= B * Y

Z =BY+R

Simple easy stuff should have no problems. I would love some more math like this bring it. C:

7 0
3 years ago
What is the solution 5/2x - 7= 3/4 x + 14<br> A. x = -6<br> B. x = 6<br> C. x = 8<br> D. x =12
sleet_krkn [62]
The answer is D, x=12. There's a lot of little math involved but hope it helps!!
6 0
3 years ago
Other questions:
  • Whats the answer to both these problems??
    8·1 answer
  • This is for 20 points!!!!!!!
    9·1 answer
  • Calculati cat mai rapid (14+28+36+42):(18+24+46+32)
    7·1 answer
  • The picture shows a triangular island:
    8·2 answers
  • Line l with a slope of 1/2 passes through (0,1/4) and (2,y), what is the value of Y
    5·1 answer
  • The length of a rectangle is 12 feet. the width of the rectangle is (1)/(2) the length. what is the perimeter of the rectangle i
    13·1 answer
  • Shape A and Shape B are each made from 5 identical squares.
    5·1 answer
  • PLEASE HELP ME!!! 25 points!!!
    15·1 answer
  • Evaluate the expression. Identify the property used in each step.
    11·1 answer
  • HELP QUICK! PLEASE! PLEASE!
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!