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Semenov [28]
4 years ago
13

There is a margin of error on a food survey of 6%. What is the range of the number of students who prefer chicken strips to meat

loaf if 68 of 97 students said they prefer chicken strips and there are 1070 students at the school?
A. 750 to 795 students

B. 705 to 795 students

C. 705 to 784 students

D. 750 to 784 students
Mathematics
2 answers:
AveGali [126]4 years ago
8 0

Answer:

Option C. 705 to 784 students

Step-by-step explanation:

margin error = 6%

range of students = 68 to 97

n = 1070

The margin of error is given by the formula:

ME = z\sqrt{(\frac{p(1-p)}{n} }

where z is the critical value

p  = the probability of an event happening

n = sample size

Therefore, taking the confidence level of 5 % and extrapolating in the tables, the value will range somewhere between 705 to 784 students.

Travka [436]4 years ago
6 0
I might be wrong but, I think it's C
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When factoring 16x2 -
rewona [7]

Answer:

we conclude that the first step is to find the greatest common factor (GCF).

Hence, option C is correct.

Step-by-step explanation:

16x^2\:-36

As 4 is the greatest common factor of the expression, so factor out common term 4:

i.e.

16x^2\:-36=4\left(4x^2-9\right)

Thus, the first step is to find the greatest common factor (GCF)

Now, solving the remaining portion

16x^2\:-36=4\left(4x^2-9\right)

as (2x+3) and (2x-3) are the factors of (4x²-9)

i.e. (4x²-9) = (2x+3) (2x-3)

Thus, the expression becomes

16x^2\:-36=4\left(2x+3\right)\left(2x-3\right)

Therefore, we conclude that the first step is to find the greatest common factor (GCF).

Hence, option C is correct.

8 0
3 years ago
2. Laura and Sage both ordered pizza from the same pizza shop. Laura paid $58.50 for 3 pepperoni pizzas and 2 plain pizzas. Sage
uysha [10]

Answer:

a. Laura: 58.50 = 3x + 2y Sage: 67 = 2x + 4y

b. Pepperoni pizza: $12.50

c. Plain pizza: $10.50

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

7 0
3 years ago
-3p 3 + 5p + (-2p 2) + (-4) - 12p + 5 - (-8p 3) simplyfied
Montano1993 [528]
The correct answer is 4p+1. hope this helps...Hit that thanks button!!
7 0
4 years ago
Read 2 more answers
The data below are times (in seconds) recorded when statistics students participated in an experiment to test their ability to d
RoseWind [281]

Answer:

Mean = 58.25

Median = 57.5

Mode = 49

Step-by-step explanation:

We are given the following data set:

55, 51, 74, 61, 67, 60, 49, 49

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{466}{8} = 58.25

Sorted data:

49, 49, 51, 55, 60, 61, 67, 74

Mode is the entry with highest frequency.

49 appeared two times.

Mode = 49

Formula:

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

\text{Median} = \dfrac{55+60}{2} = 57.5

All these are less than 60 seconds, which indicates that students perceive 1 minute to pass sooner than it actually has.

8 0
3 years ago
If c varies directly as the square root of d, and c=14, when d = 64, find c when d= 324
zubka84 [21]

Answer:

c = 31.5

Step-by-step explanation:

Given c varies directly as \sqrt{d} then the equation relating them is

c = k\sqrt{d} ← k is the constant of variation

To find k use the condition c = 14 when d = 64, then

14 = k ×\sqrt{64} = 8k ( divide both sides by 8 )

1.75 = k

c = 1.75\sqrt{d} ← equation of variation

When d = 324 , then

c = 1.75 × \sqrt{324} = 1.75 × 18 = 31.5

5 0
3 years ago
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