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nataly862011 [7]

4 years ago

15

Tell what whole number you can substitute for xx in the following list so the numbers are ordered from least to greatest. 1/x,x/

3,80%

2 answers:

Marysya12 [62]4 years ago

7 0

Answer:

Take x = 2.

Step-by-step explanation:

We have,

The numbers are $\frac{1}{x},\frac{x}{3},0.8$ .

We need to find the value of x such that they are ordered from the least to the greatest.

Let us take, x = 2.

So, we get,

$\frac{1}{x}=\frac{1}{2}=0.5$

$\frac{x}{3}=\frac{2}{3}=0.6$

As, 0.5 < 0.6 < 0.8.

Thus, taking x = 2 gives the desired result.

olasank [31]4 years ago

4 0

X/3 has to be smaller tha 80%
so x can be 2 since 2/3=66% about
1/2 is less thn 2/3

answer is x is 2

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URGENT HELP PLEASE!

Vaselesa [24]

Answer:

(a) $x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b) $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Step-by-step explanation:

It is given that $0\leq x\leq 2\pi$ .

(a)

$\sqrt{2}\sin 2x=1$

$\sin 2x=\dfrac{1}{\sqrt{2}}$

$\sin 2x=\dfrac{\pi}{4}$

$2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}$ $[\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]$

$x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b)

$\csc^2 x-\csc x-2=0$

$\csc^2 x-2\csc x+\csc x-2=0$

$\csc x(\csc x-2)+1(\csc x-2)=0$

$(\csc x+1)(\csc x-2)=0$

$\csc x=-1\text{ or }\csc x=2$

$\sin x=-1\text{ or }\sin x=\dfrac{1}{2}$ $[\because \sin x=\dfrac{1}{\csc x}]$

$x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Therefore, $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$ .

5 0

3 years ago

The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the

Rama09 [41]

Complete question :

The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder finally put the ladder in the distance from the bottom of the ladder to the building 15 feet. Find length of the ladder.

Answer:

17

Step-by-step explanation:

From Pythagoras :

Hypotenus = sqrt(opposite² + adjacent²)

From the diagram

l = sqrt((l-9)² + 15²)

l² = (l² - 18x + 81 + 225)

Square both sides

l² = l² - 18x + 306

l² - l² = 306 - 18x

18l = 306

l = 306/18

l = 17

3 0

3 years ago

Whats the answer to: 11x/18

Ganezh [65]

The value of that fraction depends on the value of 'x'. Whatever 'x' happens
to be at the moment, the fraction is equal to about 61.1% of it. And if 'x' ever
changes, then the value of the fraction also changes, immediately.

3 0

3 years ago

the length of a rectangle is 4 more than 3 times the width. If the perimeter of the rectangle is 18.4cm, what is the area of the

antoniya [11.8K]

Answer:

A = 10.27cm²

Step-by-step explanation:

Let's represent the width as x,

therefore since the length is 4 more than 3 times the width, it can be represent as 3x + 4, Perimeter = 18.4cm

Perimeter of a rectangle = 2(L + B)

$18.4= 2(3x+4+x)\\18.4= 6x+8+2x\\18.4-8=6x+2x\\10.4=8x\\x=\frac{10.4}{8}\\x=1.3$

width = 1.3cm

Length = 3x + 4 = 3*1.3 + 4 = 7.9cm

Area of a rectangle = length x width

A = 7.9 * 1.3 = 10.27cm²

6 0

3 years ago

Read 2 more answers

Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=10

Tanya [424]

Answer:

a) 0.7734

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 101, \sigma = 24$

(a) what proportion of children aged 13 to 15 years old have scores on this test above 83 ?

This is 1 subtracted by the pvalue of Z when X = 83. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{83 - 101}{24}$

$Z = -0.75$

$Z = -0.75$ has a pvalue of 0.2266

1 - 0.2266 = 0.7734

The answer is 0.7734

5 0

3 years ago