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3 years ago

Describe the relationship between n and 4 that will make the value of the expression 7x n/4 greater than 7

1 answer:

vladimir1956 [14]3 years ago

6 0

The relationship between n and 4 is n>4

We have,

7 $\frac{n}{4}$ > 7

The number 7 which is in multiplication on left hand side of the expression, will come in denominator on right hand side of the expression.

⇒ $\frac{n}{4}$ > $\frac{7}{7}$

⇒ $\frac{n}{4}$ > 1
Again 4 in denominator from left hand side will come in numerator on right hand side
⇒ n > 4

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Phonics is an instructional method in which children are taught to connect sounds with letters or groups of letters. A sample of

natali 33 [55]

Answer:

98% confidence interval: (29.25,38.87)

Step-by-step explanation:

We are given the following in the question:

Sample mean, $\bar{x}$ = 34.06

Sample size, n = 134

Sample standard deviation, s = 23.83

a) 98% confidence interval

$\bar{x} \pm z_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.02} = \pm 2.33$

$34.06 \pm 2.33(\frac{23.83}{\sqrt{133}} ) = 34.06 \pm 4.81 = (29.25,38.87)$

b) If a 95% confidence interval were constructed with these data, confidence interval would be narrower as the confidence level is decreasing as compared to 98%

c) If a sample of 150 students had been studied, the width of confidence interval will decrease as the sample size increases.

8 0

3 years ago

In Ms. Craig’s class, 75% of the students are boys. There are 18 boys in the class. What is the total number of students in Ms.

topjm [15]

Answer:

Step-by-step explanation:

75% of x = 18

75/100 * x = 18 (x = total number of students)

solving

x = 24

total number of students = 24

Checking:

75/100 * 24 = 18

5 0

3 years ago

Triangle CDE is an isosceles triangle with angle d congruent to angle E if CD= 4x+9, DE= 7x-5, CE= 16x-27, find x and the measur

Montano1993 [528]

ANSWER

$x = 3$
$CD= 21 \: units$
$DE= 16 \: units$

$CE= 21 \: units$

EXPLANATION

It was given that ∆CDE is an isosceles triangle.

The length of the sides are given in terms of x as follows.

$CD=4x+9$

$DE=7x-5$

$CE=16x-27$

It was also given that, angle D is congruent to angle E.

This implies that, side CD and CE are equal.

Thus,

$|CD| = |CE|$
In terms of x, we have;

$4x + 9 = 16x - 27$

We group like terms to get,

$16x - 4x = 9 + 27$

$12x = 36$

Divide both sides by 12 to get,

$x = \frac{36}{12}$

$\therefore \: x = 3$

The length of the sides are;

$CD=4(3)+9 = 21 \: units$

$DE=7(3)-5 = 16 \: units$

$CE=16(3)-27 = 21 \: units$

3 0

3 years ago

Anybody Know This. ?

PolarNik [594]

Answer:

3-Equalateral

Step-by-step explanation:

All the sides are all equal, which basically eliminates isosceles, isosceles acute, and scalene, therefore the answer is Equalateral.

5 0

3 years ago

Below we give the overall dining experience ratings (Outstanding, Very Good, Good, Average, or Poor) of 30 randomly selected pat

Rina8888 [55]

Answer:

Kindly check explanation

Step-by-step explanation:

Relative frequency = frequency / total frequency

Total frequency = 30

Outstanding = 14 / 30 = 0. 467 = 46.7%

Very good = 10/30 = 0.333 = 33.3%

Good = 5 / 30 = 0.167 = 16.7%

Average = 1 / 30 = 0.0333 = 3.3%

Poor = 0

_______Rating : frequency : R/ frequency

Outstanding _____ 14 _______0.467

Very good _______10 _______0.333

Good ___________ 5 _______ 0.167

Average _________ 1 _______ 0.033

Poor ____________ 0 _______ 0

8 0

2 years ago