All categories

3 years ago

I need help please and thank you

Mathematics

2 answers:

JulijaS [17]3 years ago

6 0

Answer:

Step-by-step explanation:

(14*14)+(48*48)=c2

196+2304=2500

squared root of 2500=50

dimulka [17.4K]3 years ago

5 0

Start with
14^2+48^2=c^2
196+2304=c^2
Add
2500=c^2
Then square root it
C=50

You might be interested in

The random variable x represents the number of computers that families have along with the corresponding probabilities. Find the

Elena L [17]

Answer:

The correct option is (d).

Step-by-step explanation:

The complete question is:

The random variable x represents the number of computers that families have along with the corresponding probabilities. Use the probability distribution table below to find the mean and standard deviation for the random variable x.

x : 0 1 2 3 4

p (x) : 0.49 0.05 0.32 0.07 0.07

(a) The mean is 1.39 The standard deviation is 0.80

(b) The mean is 1.39 The standard deviation is 0.64

(c)The mean is 1.18 The standard deviation is 0.64

(d) The mean is 1.18 The standard deviation is 1.30

Solution:

The formula to compute the mean is:

$\text{Mean}=\sum x\cdot p(x)$

Compute the mean as follows:

$\text{Mean}=\sum x\cdot p(x)$

$=(0\times 0.49)+(1\times 0.05)+(2\times 0.32)+(3\times 0.07)+(4\times 0.07)\\\\=0+0.05+0.64+0.21+0.28\\\\=1.18$

The mean of the random variable x is 1.18.

The formula to compute variance is:

$\text{Variance}=E(X^{2})-[E(X)]^{2}$

Compute the value of E (X²) as follows:

$E(X^{2})=\sum x^{2}\cdot p(x)$

$=(0^{2}\times 0.49)+(1^{2}\times 0.05)+(2^{2}\times 0.32)+(3^{2}\times 0.07)+(4^{2}\times 0.07)\\\\=0+0.05+1.28+0.63+1.12\\\\=3.08$

Compute the variance as follows:

$\text{Variance}=E(X^{2})-[E(X)]^{2}$

$=3.08-(1.18)^{2}\\\\=1.6876$

Then the standard deviation is:

$\text{Standard deviation}=\sqrt{\text{Variance}}$

$=\sqrt{1.6876}\\\\=1.2990766\\\\\approx 1.30$

Thus, the mean and standard deviation for the random variable x are 1.18 and 1.30 respectively.

The correct option is (d).

3 0

3 years ago

Consider this scaled figure of a swimming pool. The dimensions of the original pool are 24 feet wide by 36 feet long. A rectangl

kozerog [31]

The scale factor used for scaling the actual rectangular pool was 4/15 and the length of the scaled rectangle is 9.6 feet.

<h3>How to calculate the scale factor?</h3>

Suppose the initial measurement of a figure was x units.

And let the figure is scaled and new measurement is of y units.

Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.

Then we have:

$s \times x = y\\s = \dfrac{y}{x}$

Thus, scale factor is the ratio of the new measurement to the old measurement.

For this case, we're specified that:

Dimensions of the original pool = 24 feet wide by 36 feet long

The scaled rectangle's dimension: 6.4 feet width and L feet length (we assume the length be L units).

So, in scale drawing, 24 feet was converted to 6.4 feet. Let the scale factor be 's', then:

$6.4 = s \times 24\\\\s = \dfrac{6.4}{24} = \dfrac{4}{15}$

Thus, since length is also scaled by same factor(as the whole figure is scaled by constant scale factor assumingly), we get:

Scaled length = s times original length

$L = \dfrac{4}{15} \times 36 = 9.6 \: \rm feet$

Thus, the scale factor used for scaling the actual rectangular pool was 4/15 and the length of the scaled rectangle is 9.6 feet.

Learn more about scale factors here :

brainly.com/question/8765466

5 0

2 years ago

Please help me i can't seem to get it

olchik [2.2K]

Answer C

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Write the equation of the ellipse 4x^2+9y^2+72x+108y+612=0 in standard form.

natka813 [3]

Answer:

9 4 =1

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

5 0

3 years ago

Read 2 more answers

A car is traveling at a rate of 15 meters per second. What is the car's rate in kilometers per hour? How many kilometers will th

MrMuchimi

Answer:

54 km per hr

270 km

Step-by-step explanation:

1 metre per second is 3.6 km per hour.

15*3.6=54 km per hour

distance covered in 5 hrs=54*5=270 km

4 0

3 years ago