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2 years ago

Without plotting these numbers, decide which inequalities are true. Check all that apply.

Mathematics

2 answers:

Genrish500 [490]2 years ago

6 0

Answer:

A) √7 > 2

2.6 >2 , Inequality is true

B) √7 < 7

2.6v< 7 , Inequality is true

C) √7 < √8

2.6 < 2.8 , Inequality is true

Step-by-step explanation:

The value of squareroot (7) is 2.6

The value of squareroot (8) is 2.8

A) √7 > 2

2.6 >2 , Inequality is true

B) √7 < 7

2.6v< 7 , Inequality is true

C) √7 < √8

2.6 < 2.8 , Inequality is true

D) √8 < 2

2.8 < 2, , Inequality is false

E) √8 < 8

2.8 < 2 , Inequality is false

never [62]2 years ago

4 0

The answer is b just because inequality

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1 year ago

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A random sample of 38 wheel chair users were asked whether they preferred cushion type A or B, and 28 of them preferred type A w

-BARSIC- [3]

Answer:

The statement that cushion A is twice as popular as cushion B cannot be verified

Step-by-step explanation:

From the question we are told that:

Sample size n=38

Type a size A $X_a=28$

Type a size B $X_b=10$

Generally the probability of choosing cushion A P(a) is mathematically given by

$P(a)=\frac{28}{38}$

$P(a)=0.73$

Generally the equation for A to be twice as popular as B is mathematically given by

$P(b)+2P(b)=3P$

Therefore Hypothesis

$Null H_0: p \leq \frac{2P}{3P} \\Altenative H_A:p>\frac{2P}{3P}$

Generally the equation normal approx of p value is mathematically given by

$z=\frac{x-np_0-0.5}{\sqrt{np_0(1-p_0)} }$

$z=\frac{28-(38*2/3)_0-0.5}{\sqrt{38*2/3*1/3} }$

$z=0.75$

Therefore from distribution table

$Pvalue=1-\theta (0.75)$

$Pvalue=0.227$

Therefore there is no sufficient evidence to disagree with the Null hypothesis $H_0$

Therefore the statement that cushion A is twice as popular as cushion B cannot be verified

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2 years ago

The Johnson twins were born nine years after their older sister. This year, the product of the three siblings ages is exactly 18

KATRIN_1 [288]

Answer: The age of the twins is 10 years.

Step-by-step explanation:

Suppose the age of older sister be x

Let the age of twins sister be x-9, as they are born after 9 years.

Product of their ages be

$x(x-9)(x-9)\\\\=x(x^2-18x+81)\\\\=x^3-18x^2+81x$

Sum of their ages will be

$x+x-9+x-9\\\\=3x-18$

According to question,

$1861+3x-18=x^3-18x^2+81x\\\\x^3-18x^2+81x-3x+18-1861=0\\\\x^3-18x^2+78x-1843=0\\\\x=19$

So, Age of older sister will be 19 years.

Age of the twins will be

$19-9=10\ years$

Hence, the age of the twins is 10 years.

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2 years ago