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3 years ago

Which of the following statement is true?

Mathematics

2 answers:

shtirl [24]3 years ago

7 0

Both are irrational. pick the first option.

sladkih [1.3K]3 years ago

6 0

Answer:

The correct option is 1.

Step-by-step explanation:

If a number is defined as $\frac{p}{q}$ , where p and q are distinct integers and q≠0, then it is called a rational number.

For example: 0.2, 3/4, 5%.

If a number can not be defined as $\frac{p}{q}$ , where p and q are integers and q≠0, then it is called an irrational number.

For example: √2, √3, √(0.3).

The given numbers can be written as

$\sqrt{15}=\sqrt{3\times 5}=\sqrt{3}\sqrt{5}$

Since $\sqrt{15}$ is the product of two irrational numbers $\sqrt{3}\text{ and }\sqrt{5}$ , therefore $\sqrt{15}$ is an irrational number.

$\sqrt{0.001}=\sqrt{\frac{1}{1000}}=\frac{1}{10\sqrt{10}}$

If any numbers is divisible by an irrational number, then the resultant number is irrational. So, $\sqrt{0.001}$ is an irrational number.

Both $\sqrt{15}$ and $\sqrt{0.001}$ are irrational. Therefore the correct option is 1.

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A recent national survey found that high school students watched an average (mean) of 7.2 movies per month with a population sta

Schach [20]

Answer:

1) A. H0: μ ≥ 7.2; H1: μ < 7.2

2) D. Reject H0 if z < –1.645

3) $t=\frac{6.2-7.2}{\frac{0.9}{\sqrt{35}}}=-6.573$

4) $p_v =P(z$

Step-by-step explanation:

Information provided

$\bar X=6.2$ represent the sample mean for the number of movies watched last month

$\sigma=0.9$ represent the population deviation

$n=35$ sample size selected

$\mu_o =7.2$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic

$p_v$ represent the p value for the test

1) System of hypothesis

We want to check if college students watch fewer movies a month than high school students, and the best system of hypothesis are:

Null hypothesis: $\mu \geq 7.2$

Alternative hypothesis: $\mu < 7.2$

A. H0: μ ≥ 7.2; H1: μ < 7.2

2) Decision rule

For this case we are ocnduting a left tailed test so then we need to find a critical value in the normal standard distribution who accumulates 0.05 of the area in the left and we got:

$z_{crit}= -1.645$

And the rejection zone would be:

D. Reject H0 if z < –1.645

3) Statistic

Since we know the population deviation the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing we got:

$t=\frac{6.2-7.2}{\frac{0.9}{\sqrt{35}}}=-6.573$

4) P value

We have a left tailed test then the p value would be:

$p_v =P(z$

3 0

3 years ago

ANSWER ASAP!! WILL MARK BRAINLIEST!

ra1l [238]

Answer:

1 and 3

Step-by-step explanation:

4 0

3 years ago

-40-8b=-6(1+7b) what’s the answer

Andre45 [30]

$\text{Hey there!}$

$\mathsf{-40-8b=-6(1+7b)}\\\mathsf{SIMPLIFY\ both\ sides\ of\ your\ equation}\\\mathsf{-40-8b=-6(1+7b)}$

$\mathsf{Distribute\ the\ RIGHT\ side\ of\ the\ equation }\\\mathsf{Distribute [the\ formula\ is: a(b+c)=a(b)+a(c)=ab+ac]}\\\mathsf{-6(1)+(-6)}(7b)\\\mathsf{-6(1)=-6}\\\mathsf{-6(7b)=-42b}\\\mathsf{\rightarrow\ =-6+(-42b)}$

$\mathsf{-40-8b=-6+(-42b)}\\\mathsf{\rightarrow -8b-40=-42b-6}$

$\mathsf{ADD\ by\ 42b\ on\ your\ sides}\\\mathsf{-8b-40+42b=-42b-6+42b}\\\mathsf{SOLVE\ above\ correct\ to\ get\ us\ to\ the\ next\ step!}\\\mathsf{\rightarrow 34b-40=-6}$

$\mathsf{ADD\ by\ 40\ on\ your\ sides}\\\mathsf{34b-40+40=-6+40}\\\mathsf{Cancel\ out\ -40+40\ because\ that\ gives\ the\ result\ of\ 0}\\\mathsf{-6+40=34}\\\mathsf{\rightarrow New\ equation: 34b = 34}$

$\mathsf{DIVIDE\ both\ of\ your\ sides\ by\ 34}\\\mathsf{\dfrac{34b}{34}=\dfrac{34}{34}}\\\\\mathsf{Cancel\ out: \dfrac{34b}{34}\ because\ that\ gives\ you\ the\ result\ of\ 1b}\\\\\mathsf{Keep:\dfrac{34}{34}\ because\ it\ solves\ for\ b}\\\\\mathsf{\dfrac{34}{34}=34\div34=1}$

$\boxed{\boxed{\boxed{\boxed{\mathsf{Thus\ your\ answer\ is:\boxed{\boxed{\mathsf{b=1}}}}}}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\dfrac{\frak{LoveYourselfFirst}}{:)}$

8 0

3 years ago

I need help on this question

saul85 [17]

Whole circle = 360⁰ and 100%.

360⁰ ------ 100%

x ------------- 20%

x= 360*20/100 =72⁰

Answer C. 72⁰.

3 0

3 years ago

A student is constructing a pair of perpendicular lines using a compass and ruler. Here are her first steps:

Katyanochek1 [597]

The next step she should take is to use her ruler to join the given point to the point where the arcs intersect.

<h3>Steps in constructing perpendicular lines</h3>

Place your compass on the given point
Draw an arc across the line on each side of the given point. Do not adjust the compass width when drawing the second arc
From each arc on the line, draw another arc on the opposite side of the line from the given point. The two new arcs will intersect.
Use your ruler to join the given point to the point where the arcs intersect.
Use your compass and ruler to draw a perpendicular line from each given point to the line segment

From this, we can deduce that her next step is to use her ruler to join the given point to the point where the arcs intersect

Thus, the next step she should take is to use her ruler to join the given point to the point where the arcs intersect.

Learn more about construction here:

brainly.com/question/27164219

#SPJ1

4 0

2 years ago