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2 years ago

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In a survey, a group of students were asked to name their favorite elective class. There were 15 students who chose “other." How

many students participate Art:30% Physical Education:60% how many students participated?

1 answer:

lyudmila [28]2 years ago

7 0

Answer:

50 % of them participated

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If x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3), then which statement is true? A. x + 12 ≤ 2(5 − y) B. x + 12 ≤ 2x − 3 C. x + 12 ≤ 2(x −

anyanavicka [17]

Answer: The correct option is,

C. x + 12 ≤ 2(x − 3)

Step-by-step explanation:

Given inequalities,

x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3)

Let a = x + 12, b = 5 - y and c = 2(x-3)

Here, a ≤ b and b ≤ c

Since, by using the transitive property of inequality,

⇒ a ≤ c

⇒ x + 12 ≤ 2(x − 3)

Therefore, OPTION C is correct.

7 0

1 year ago

Read 2 more answers

The density of an object can be found by taking its mass and dividing by its volume. Write an equation to represent the relation

prisoha [69]

Answer:

Step-by-step explanation:

The density of an object can be found by taking its mass and dividing by its volume.

Hence if density is D , Mass is M and Volume is V

$D=\frac{M}{V}$

a)

M = 500 gms

V = 40 cubic cm

$D=\frac{500}{40}$

$D=12.5$

b)

M = 125 gms

V = 1.4 cubic cm

$D=\frac{125}{1.4}$

$D=89.28$

D =89.28 gm per cc

3 0

1 year ago

Suppose abby tracks her travel time to work for 60 days and determines that her mean travel time, in minutes, is 35.6. assume th

HACTEHA [7]

Given that:
mean,μ=35.6 min
std deviation,σ=10.3 min
we are required to find the value of x such that 22.96% of the 60 days have a travel time that is at least x.
using z-table, the z-score that will give us 0.2296 is:-1.99
therefore:
z-score is given by:
(x-μ)/σ
hence:
-1.99=(x-35.6)/10.3
-20.497=x-35.6
x=35.6-20.497
x=15.103

7 0

1 year ago

Read 2 more answers

Find a polynomial function of degree 3 such that f(10)=17 and the zeros of f are 0, 5 and 8

fomenos

Step-by-step explanation:

Since f(0) = f(5) = f(8) = 0, we have f(x) = Ax(x - 5)(x - 8), where A is a real constant.

We know that f(10) = 17.

=> A(10)(10 - 5)(10 - 8) = 17

=> A(10)(5)(2) = 17

=> 100A = 17, A = 0.17.

Hence the answer is f(x) = 0.17x(x - 5)(x - 8).

3 0

1 year ago

A study of 25 graduates of four-year public colleges revealed the mean amount owed by a student in student loans was $55,051. Th

Kitty [74]

Answer:

a

The 90% confidence interval is $52561.13 < \mu < 57540.8$

b

Confidence interval for the population men between <u>$52561.13</u> up to <u>$57540.8</u>

Step-by-step explanation:

From the question we are told that

The sample size is $n = 25$

The sample mean is $\= x = \$ 55,051$

The standard deviation is $\sigma = \$ 7,568$

Given that the confidence level is 90% then the level of confidence is mathematically represented as

$\alpha = 100 -90$

$\alpha = 10\%$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table the values is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{ \alpha }{2} } * \frac{ \sigma }{\sqrt{n} }$

substituting values

$E = 1.645 * \frac{ 7568}{ \sqrt{ 25} }$

$E = 2489.9$

The 90% confidence interval is mathematically evaluated as

$\= x -E < \mu < \= x +E$

substituting values

$55051 - 2489.8 < \mu < 55051 + 2489.8$

$52561.13 < \mu < 57540.8$

6 0

2 years ago