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2 years ago

Can anyone help me with this?

Mathematics

1 answer:

yawa3891 [41]2 years ago

7 0

Answer:

Below.

Step-by-step explanation:

7) c^2 = a^2 + b^2

15^2 = 11^2 + b^2

b^2 = 225 - 121 = 104

b = √104

= √4√26

= 2√26.m

8). 4^2 = a^2 + (√6)^2

a^2 = 16 - 6

a^2 = 10

a = √10.

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PLEASE HELP ME

Zolol [24]

It is 4/3. the quantity of 4 over 3
X+6/3 - x+2/3= x+6-x-2/3 = 4/3.

8 0

2 years ago

Which statement is true regarding the functions on the

Leto [7]

Answer:

f(-3) = g(-3)

Step-by-step explanation:

Remember points on the graph get their location from the x-axis (horizontal) and y-axis (vertical).

In function notation, "f(x)" means when "x" is the value in the brackets, what the value of "y" will be.

First option for example: f(-3) = g(4)

Value of "y" for f(x) when x = -3:

On the blue line, when x = -3, y = -4.

Value of "y" for g(x) when x = 4:

On the red line, when x = 4, y = -3.

Therefore:

f(-3) = g(4)

-4 = -3 <= This is false.

In the third option: f(-3) = g(-3)

On f(x) blue, when x = -3: y = -4

On g(x) red, when x = -3: y = -4

Therefore:

f(-3) = g(-3)

-4 = -4 <= This is true.

4 0

3 years ago

How does 15.050 compare to 15.500

Varvara68 [4.7K]

15.050 < 15.500

notice that 500 is more than 50... so hope this helps a little bit !!!

6 0

3 years ago

Read 2 more answers

If x=1 find the value of x2 +2x + 1

Nataly [62]

Hey there!

x^2 + 2x + 1

= 1^2 + 2(1) + 1

= 1 * 1 + 2 + 1

= 1 + 2 + 1

= 3 + 1

= 4

Therefore, your answer is: 4

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

4 0

2 years ago

Read 2 more answers

The 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by World One Research, included the question, "H

LenaWriter [7]

Answer:

A 95% confidence interval estimate of the mean number of hours a legal professional works on a typical workday is [7.44 hours, 10.56 hours].

Step-by-step explanation:

We are given that x is normally distributed with a known standard deviation of 12.6.

A sample of 250 legal professionals was surveyed, and the sample's mean response was 9 hours.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average mean response = 9 hours

$\sigma$ = population standard deviation = 12.6

n = sample of legal professionals = 250

$\mu$ = mean number of hours a legal professional works

Here for constructing a 95% confidence interval we have used One-sample z-test statistics as we know about population standard deviation.

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level

of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ , $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ]

= [ $9-1.96 \times {\frac{12.6}{\sqrt{250} } }$ , $9+1.96 \times {\frac{12.6}{\sqrt{250} } }$ ]

= [7.44 hours, 10.56 hours]

Therefore, a 95% confidence interval estimate of the mean number of hours a legal professional works on a typical workday is [7.44 hours, 10.56 hours].

5 0

2 years ago