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allsm [11]
3 years ago
12

Mr. Gaines is catering his company picnic. He will pay $18.45 for 3 people to eat the barbecue lunch. At this rate, how many peo

ple can Mr. Gaines afford to feed on a budget of $1850.00? (Sentence) *
1 point
Captionless Image
Mathematics
1 answer:
Schach [20]3 years ago
5 0

Price of lunch of each, P = $ 18.45/3 = $ 6.15 .

Now, number of people that can eat the barbecue at a budget of $1850.00 is:

n=\dfrac{1850}{6.15}\\\\n=300.81

Therefore, Mr. Gaines afford maximum 300 people to feed on a budget of $1850.00 .

Hence, this is the required solution.

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Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 47.3 m
Marta_Voda [28]

Answer:

\bar X = \frac{2276}{48}=47.417

If we compare this value with the 47.3 proposed we have the following error

Error = \frac{|Actual-real|}{real}*100 = \frac{|47.417-47.3|}{47.3}*100 =0.247\%

The computed mean is close to the actual mean because the difference between the means is less than 5%.  

Step-by-step explanation:

Assuming the following dataset:

Speed   42-45  46-49  50-53  54-57  58-61

Freq.         21        15        6           4          2

And we are interested in find the mean, since we have grouped data the formula for the mean is given by:

\bar X = \frac{\sum_{i=1}^n x_i f_i}{\sum_{i=1}^n f_i}

And is useful construct a table like this one:

Speed     Freq    Midpoint   Freq*Midpoint

42-45       21            43.5       913.5

46-49       15            47.5        712.5

50-53       6             51.5         309

54-57        4            55.5         222

58-61        2             59.5        119

Total       48                           2276

And the mean is given by:

\bar X = \frac{2276}{48}=47.417

If we compare this value with the 47.3 proposed we have the following error

Error = \frac{|Actual-real|}{real}*100 = \frac{|47.417-47.3|}{47.3}*100 =0.247\%

The computed mean is close to the actual mean because the difference between the means is less than 5%.  

6 0
3 years ago
What is the value of z in the diagram?
lutik1710 [3]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
What is the measure of this angle?<br> A) 44° <br> B) 56° <br> C) 136° <br> D) 144°
allsm [11]
A) 44 degrees just look at the degree the line segment lands on in the protractor
4 0
3 years ago
Read 2 more answers
5u + 14 &gt; 64<br><br> Can someone tell me what U is?
ale4655 [162]
5u > 64 - 14
5u > 50
u > 10
7 0
3 years ago
Read 2 more answers
Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 P (8,4)
Mnenie [13.5K]
One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
(x-h)^2+(y-k)^2=r^2
the center is (h,k) and the radius is r

and the distance formula is
distance between (x_1,y_1) and (x_2,y_2) is
D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}


r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle


so
(x+2)^2+(y-3)^2=18
(x-(-2))^2+(y-3)^2=(\sqrt{18})^2
(x-(-2))^2+(y-3)^2=(3\sqrt{2})^2

the radius is 3\sqrt{2}
center is (-2,3)

find distance between (8,4) and (-2,3)

D=\sqrt{(8-(-2))^2+(4-3)^2}
D=\sqrt{(8+2)^2+(1)^2}
D=\sqrt{10^2+1}
D=\sqrt{100+1}
D=\sqrt{101}




r=3\sqrt{2}≈4.2
D=\sqrt{101}≈10.04

do r<D

(8,4) is outside the circle

6 0
3 years ago
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