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3 years ago

A robot that makes _/8 of a boat per day will make 7 boats in 8 days

Mathematics

1 answer:

Sidana [21]3 years ago

8 0

7/8 boats per day will make it

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5. Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately norma

Triss [41]

Answer:

percent (%) of ancient prehistoric thinner than 3 is 0.0013

Step-by-step explanation:

Given data

mean = 5.1 millimeters (mm)

standard deviation = 0.7 mm

to find out

percent (%) of ancient prehistoric thinner than 3

solution

we have given mean and SD

so Z will be = x -mean / SD

Z = ( x - 5.1 ) / 0.7

so P( x < 3 ) = P ( (x - 5.1 ) / 0.7 < ( 3 - 5.1 ) / 0.7 )

P( Z = ( 3 - 5.1 ) / 1.5 )

P( Z = -3 ) = 0.0013

percent (%) of ancient prehistoric thinner than 3 is 0.0013

4 0

2 years ago

What are the potential solutions of log4x+log4(x+6)=2?

lions [1.4K]

The potential solutions of $log_4x+log_4(x+6)=2$ are 2 and -8.

<h3>Properties of Logarithms</h3>

From the properties of logarithms, you can rewrite logarithmic expressions.

The main properties are:

Product Rule for Logarithms - $log_{b}(a*c)=log_{b}a+log_{b}c$
Quotient Rule for Logarithms - $log_{b}(\frac{a}{c} )=log_{b}a-log_{b}c$
Power Rule for Logarithms - $log_{b}(a^c)=c*log_{b}a$

The exercise asks the potential solutions for $log_4x+log_4(x+6)=2$ . In this expression you can apply the Product Rule for Logarithms.

$log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0$

Now you should solve the quadratic equation.

Δ= $b^2-4ac=36-4*1*(-16)=36+64=100$ . Thus, x will be $x_{1,\:2}=\frac{-6\pm \:\sqrt{100} }{2\cdot \:1}=\frac{-6\pm \:10}{2}$ . Then:

$x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8$

The potential solutions are 2 and -8.

Read more about the properties of logarithms here:

brainly.com/question/14868849

4 0

2 years ago

Find the volume of a cylinder with a diameter of 10 inches and a height that is three times the radius. Use 3.14 for pi and roun

maxonik [38]

V = pi r^2 h
v = 3.14 * 5^2 * 15
v = 3.14 * 25 * 15
v = 1177.5 in^3

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2 years ago

Select three ratios that are equivalent to<br> 4:3<br><br> Choose 3 answers:

VARVARA [1.3K]

Answer: 8:6, 12:9, and 16:12

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3 years ago

Read 2 more answers

How many movies, m, can she download for $50?

TiliK225 [7]

How much does it cost for one movie

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3 years ago