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Xelga [282]
3 years ago
8

In a random sample of 85 people attending a workshop, 63 of the respondents said the workshop was useful. What is the sample pro

portion of the people who said the workshop was useful?
Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
8 0
Divide the number of respondents saying it was useful by the total number
63/85 = 0.74
aksik [14]3 years ago
3 0

Answer:

\frac{63}{85} = 0.741.

Step-by-step explanation:

Given : In a random sample of 85 people attending a workshop, 63 of the respondents said the workshop was useful.

To find : What is the sample proportion of the people who said the workshop was useful.

Solution : We have given that :

People attending workshop = 85.

Respondents said the workshop was useful = 65 .

Proportion   = \frac{number\ of\ people\ who\ said\ useful}{total\ peoples}.

Proportion : \frac{63}{85}.

Proportion : 0.741

Therefore,  \frac{63}{85} = 0.741.

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Please I need help on this question, A line passes through (6,3), (8,4), and (n,-2). Find the value of n.
Vika [28.1K]

Answer:

n= -4

Step-by-step explanation:

First we have to find the equation of line which passes through (6,3) and (8,4).

Then we have to pass this line through the point (n , -2).

we know, equation of line passing through (x1,y1) and (x2,y2) is

\frac{x-x1}{x1-x2}=\frac{y-y1}{y1-y2}

So, the equation of line passing through (6,3) and (8,4) is

\frac{x-6}{6-8}=\frac{y-3}{3-4}

or, \frac{x-6}{-2} =\frac{y-3}{-1}

multiplying both sides by  -2

x-6=2(y-3)

or, x-6=2y-6

or, x-2y=6-6

or, x-2y=0


Now, we have to pass this line through  (n,-2)

So, using the point in the line, that is using  x=n  , y=-2

we get

n-2(-2)=0

or, n+4=0

or, n=-4

6 0
3 years ago
Read 2 more answers
Urgent help!
evablogger [386]

Answer:

charge for d days=d×75$

charge for k kilometers=k×65cents

total cost=75d$+k×0.65$

c=(75d+0.65k)$

6 0
3 years ago
A truck can be rented from Company A for ​$70 a day plus ​$0.50 per mile. Company B charges ​$20 a day plus ​$0.60 per mile to r
r-ruslan [8.4K]

Answer:

The rental cost for Company A and Company B will be the same after 500 miles

Step-by-step explanation:

The total cost of renting a truck from Company A can be expressed as;

Total rental cost(Company A)=Cost per day+Total rate

where;

Cost per day=70

Total rate=rate per mile×number of miles (m)=(0.5×m)=0.5 m

replacing;

Total rental cost(Company A)=70+0.5 m...equation 1

2. The total cost of renting a truck from Company B can be expressed as;

Total rental cost(Company B)=Cost per day+Total rate

where;

Cost per day=20

Total rate=rate per mile×number of miles (m)=(0.6×m)=0.6 m

replacing;

Total rental cost(Company B)=20+0.6 m...equation 2

Equating equation 1 to equation 2

70+0.5 m=20+0.6 m

0.6 m-0.5 m=70-20

0.1 m=50

m=50/0.1

m=500 miles

The rental cost for Company A and Company B will be the same after 500 miles

7 0
3 years ago
Dave has 10 poker chips, 6 of which are red and the other 4 of which are white. Dave likes to stack his chips and flip them over
Marina86 [1]

The number of 10 chips stacks that Dave can make if two stacks are not considered distinct is 110.

The solution

To get the symmetric stacks, one has to subtract the symmetric stacks to know the ones that are asymmetric.

The symmetric are flipped. Given that they are double counted what we have to do is to divide through by 2.

6/2 = 3

10/2 = 5

4/2 = 2

1/2(10C6) - (5C3) + (5C3)

0.5(210-10+10)

= 110

8 0
2 years ago
There is 3/4 of pizza leftover from the night before . how many 1/8 portions are there
serg [7]
We want to know how many 1/8's are in 3/4, so we divide.

\sf\dfrac{3}{4}\div\dfrac{1}{8}

Flip the 2nd fraction and multiply:

\sf\dfrac{3}{4}\times\dfrac{8}{1}

Multiply the numerators and denominators together:

\sf\dfrac{3\times8}{4\times1}\rightarrow\dfrac{24}{4}

Divide:

\boxed{\sf6}
3 0
3 years ago
Read 2 more answers
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