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3 years ago

PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER

Mathematics

1 answer:

olchik [2.2K]3 years ago

4 0

ZX is √b²+a²

Step-by-step explanation:

From the diagram you notice that length WX is a and length WZ is b.ZX is the diagonal length formed by triangle ZWX.Apply the Pythagorean relationship here the sum of squares of the two sides equals the square of the diagonal.Hence;

ZW²+ WX²=ZX²

b²+a²=ZX²

√b²+a²=ZX

Learn More

Pythagorean relationship : brainly.com/question/11907296

Keyword : rectangle,diagonal length

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Hey ill give brainlist

TEA [102]

Answer:

$2.\:\frac{41}{9}$

Step-by-step explanation:

Recall that $\frac{x}{9}=\lfloor \frac{x}{9} \rfloor + 0.\overline{[x\:\mod9]}$ .

Therefore, $4.\bar{5}=\frac{4\cdot 9 + 5}{9}=\fbox{$2)\:\frac{41}{9}$}$ .

5 0

3 years ago

Read 2 more answers

A pet toy manufacturer is designing a plastic ball for dogs that will float in water. In order for the ball to float it must hav

algol13

Answer:

3.576 cm

Step-by-step explanation:

radius of ball, r=?

Given:

Density, p = 0.600g/mL

mass, m= 115g

finding volume, v of ball by using formula p=m/v

v= m/p

= 115/0.600

=191.666 mL^3

=191.666 cm^3

Now using formula v= (4/3)πr^3 to find radius, r of the ball

r^3= 3v/4π

= 3(191.666)/4π

=45.75 cm

r =3.5767 cm !

7 0

3 years ago

if a town with a population of 500 doubles in size ever 9 years, what will the population be 36 years from now?

s344n2d4d5 [400]

The population of the town in 36 years would be 8000.

<h3>What would be the population of the town in 36 years?</h3>

The formula that can be used to determine the town's population is:
FV = P (1 + r)^n

Where:

FV = Future value
P = Present value
R = rate of growth = 100%
N = number of years = 36/9 = 4

500 x 2^4 = 8000

To learn more about future value, please check: brainly.com/question/18760477

4 0

2 years ago

Required information An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiv

Natasha2012 [34]

Answer:

$652.6-2.01\frac{311.7}{\sqrt{50}}=563.997$

$652.6+2.01\frac{311.7}{\sqrt{50}}=741.203$

So on this case the 95% confidence interval would be given by (563.997;741.203)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=652.6$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=311.7 represent the sample standard deviation

n=50 represent the sample size

Soltuion to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=50-1=49$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,49)".And we see that $t_{\alpha/2}=2.01$