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2 years ago

I need help ASAP plz

Mathematics

2 answers:

Sladkaya [172]2 years ago

4 0

This is a right triangle. To find the third side of a right triangle. Use the Pythagorean Theorem.
a^2+b^2=c^2
a and b are the legs, c is the hypotenuse.
a^2+7^2=16^2
a^2+49=256
Subtract 49 from both sides:
a^2=207
Square foot:
a=14.38749457 in.
Round to nearest tenth:
14.4 in

Anit [1.1K]2 years ago

3 0

Answer:

a = 14.4

Step-by-step explanation:

It's a right angled triangle. so it has to follow Pythagoras Theorem

according to it square of hypotenuse = sum of squares of other two sides

$16 {}^{2} = {x}^{2} + 7 {}^{2} \\ 256 = x {}^{2} + 49 \\ 256 - 49 = x {}^{2} \\ 207 = x {}^{2} \\ x = \sqrt{207 } \\ x = 14.387 \\ x = 14.4$

after rounding the decimal a= 14.4 in

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The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 mi

rewona [7]

Answer:

a. 8.66 minutes

Step-by-step explanation:

Since the flight times are uniformly distributed, the standard deviation can be calculated as follows:

$\sigma = \frac{b-a}{\sqrt{12}}$

Where 'b' is the maximum flight time (150 minutes) and 'a' is the minimum flight time (120 minutes):

$\sigma = \frac{150-120}{\sqrt{12}}\\\sigma = 8.66\ minutes$

The distribution's standard deviation is 8.66 minutes.

4 0

3 years ago

You have drawn a simple random sample of 36 college students, asking each student how much rent they pay per month. You obtain a

Karo-lina-s [1.5K]

Answer:

$573-1.690\frac{22}{\sqrt{36}}=566.8033$

$573+1.690\frac{22}{\sqrt{36}}=579.1967$

And the 90% confidence interval would be between [566.80 and 579.20]

Step-by-step explanation:

Information given

$\bar X=573$ represent the sample mean

$\mu$ population mean (variable of interest)

s=22 represent the sample standard deviation

n=36 represent the sample size

Confidence interval

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

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

The degrees of freedom are given by:

$df=n-1=36-1=35$

The Confidence level is 0.90 or 90%, the significance would be $\alpha=0.1$ and $\alpha/2 =0.05$ , and the critical value for this case would be $t_{\alpha/2}=1.690$

And replacing we got:

$573-1.690\frac{22}{\sqrt{36}}=566.8033$

$573+1.690\frac{22}{\sqrt{36}}=579.1967$

And the 90% confidence interval would be between [566.8033 and 579.1967]

6 0

3 years ago

A line containing the points (9, 1) and (5, 5) intersects the x -axis at what point?

Troyanec [42]

Answer:

It intersects the x-axis at x = 10

Step-by-step explanation:

Step 1: Find slope m

m = (5 - 1)/(5 - 9)

m = 4/-4

m = -1

y = -x + b

Step 2: Find b

5 = -5 + b

b = 10

Step 3: Rewrite equation

y = -x + 10

Step 4: Find x when y = 0

0 = -x + 10

-10 = -x

x = 10

So the graph crosses the x-axis at 10.

4 0

3 years ago

What is 8 divided by 4

Gennadij [26K]

2 because u divide 8 by 4 and u get the answer 2

8 0

3 years ago

Read 2 more answers

Given P(x) = 2x3 - 11x2 + 18x - 15 is divided by x – 3. Use synthetic division to find the quotient and the remainder.

katrin [286]

You can find the remainder right away by simply plugging in $x=3$ . The polynomial remainder theorem guarantees that the value of $p(3)$ is the remainder upon dividing $p(x)$ by $x-3$ , but I digress...

Synthetic division yields

3   |   2   -11   18   -15
.    |           6   -15     9
- - - - - - - - - - - - - - - - -
.    |   2     -5     3     -6

which translates to

$\dfrac{2x^3-11x^2+18x-15}{x-3}=2x^2-5x+3-\dfrac6{x-3}$

(and note that $p(3)=2(3)^3-11(3)^2+18(3)-15=-6$ , as expected)

5 0

2 years ago