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2 years ago

What are the slope and y-intercept of the linear function graphed to the left?

Mathematics

1 answer:

Igoryamba2 years ago

6 0

Answer:

y intercept equals 1

Step-by-step explanation:

y= -1/2x+1

the slope is -1/2

the y intercept is 1

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Express 18 as a fraction of 27. <br> Give your answer in its simplest form

den301095 [7]

Answer:

Thus, 2/3 is the simplified fraction for 18/27 by using the GCD or HCF method. Thus, 2/3 is the simplified fraction for 18/27 by using the prime factorization method

Step-by-step explanation:

hope l am not late!

6 0

2 years ago

The area (A) of a circle with a radius of r is given by the formula and its diameter (d) is given by . Arrange the equations in

ella [17]

Answer:

see explanation

Step-by-step explanation:

A = πr² ← r is the radius and r = $\frac{1}{2}$ d ← d is the diameter

Hence

π ( $\frac{1}{2}$ d)² = A, that is

$\frac{d^2\pi }{4}$ = A ( multiply both sides by 4 )

d²π = 4A ( divide both sides by π )

d² = $\frac{4A}{\pi }$ ( take the square root of both sides )

d = $\sqrt{\frac{4A}{\pi } }$

7 0

3 years ago

Determine the 10th term from the end of the AP 4, 9, 14

77julia77 [94]

Answer:

<h2>The answer is 49</h2>

Step-by-step explanation:

Since the sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

To find the 10th term of the sequence first find the first term and the common difference

From the question

a = 4

d = 9 - 4 = 5 or 14 - 5 = 9

Since we are finding the 10th term

n = 10

Substitute the values into the above formula

That's

A(10) = 4 +(10-1)5

= 4 + 9(5)

= 4 + 45

We have the final answer as

Hope this helps you

6 0

3 years ago

A student wanted to construct a 95% confidence interval for the average age of students in her statistics class. She randomly se

Darina [25.2K]

Answer: (17.42, 20.78)

Step-by-step explanation:

As per given , we have

Sample size : n= 9

$\overline{x}=19.1$ years

Population standard deviation is not given , so it follows t-distribution.

Sample standard deviation : s= 1.5 years

Confidence level : 99% or 0.99

Significance level : $\alpha= 1-0.99=0.01$

Degree of freedom : df= 8 (∵df =n-1)

Critical value : $t_c=t_{(\alpha/2,\ df)}=t_{0.005,\ 8}= 3.355$

The 99% confidence interval for the population mean would be :-

$\overline{x}\pm t_c\dfrac{s}{\sqrt{n}}$

$19.1\pm (3.355)\dfrac{1.5}{\sqrt{ 9}}\\\\=19.1\pm1.6775\\\\=(19.1-1.6775,\ 19.1+1.6775)\\\\=(17.4225,\ 20.7775)\approx(17.42,\ 20.78)$

Hence, the 99% confidence interval for the population mean is (17.42, 20.78) .

7 0

3 years ago

Three times the quantity five less than x, divided by the product of six and x

Elden [556K]

Answer:

$\frac{3(x-5)}{6x}$

Step-by-step explanation:

we know that

The phrase "Three times the quantity five less than x" means 3 multiplied by the difference of x minus 5

3(x-5)

The phrase "the product of six and x" means the number 6 multiplied by x

therefore

The phrase" Three times the quantity five less than x, divided by the product of six and x" is equal to the quotient of 3(x-5) and 6x

$\frac{3(x-5)}{6x}$

7 0

2 years ago