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2 years ago

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Mathematics

2 answers:

EleoNora [17]2 years ago

5 0

Answer:

x = 7 & y = 8

Step-by-step explanation:

We know that

Mean = Sum of terms/Total terms

=> Mean = 4 + 6 + x + y + 10/5

=> Mean = 20 + x + y/5

Now,

Median = (n + 1)/2

=> Median = (5 + 1)/2

=> Median = 6/3

=> Median = 3rd term = x

So,

x = 20 + x + y/5

x × 5 = 20 + x + y

5x = 20 + x + y

5x - x = 20 + y

4x = 20 + y

Since x and y are in order so,

Possible outcomes will be 7,8 & 9

(7,8) & (8,9) & (7,9)

Taking x = 7 and y = 8

4(7) = 20 + 8

28 = 28

Hence,

x = 7 and y = 8

PilotLPTM [1.2K]2 years ago

3 0

Answer:

y=7 x=8

Step-by-step explanation: hope you do well in school

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harry is trying tq solve the equation y=2x^2 -x-6 using the quadratic formula he has made an error in one of the steps below

Sergeeva-Olga [200]

Answer:

Hello :

y = 2x² - x -6

y = 2 ( x² - 1/2 x - 3)

y = 2 (x² -1/2 x + 1/16 -1/16 -3)

y = 2 (( x - 1/4 )² - 49/16)..... the quadratic formula

y = 0 : ( x - 1/4 )² - 49/16 = 0

( x - 1/4 )² - (7/4)² = 0

( x -1/4-7/4)( x -1/4+7/4)=0

(x -2)(x + 3/2) = 0

x - 2 = 0 or x + 3/2 =0

x = 2 or x = - 3/2

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2 years ago

the radius of a cylindrical construction pipe is 3 ft . If the pipe is 25ft long , what is it’s volume ?

ki77a [65]

Given:

radius of a cylindrical construction pipe is 3 ft

lenghtis 25ft long

Required:

what is it’s volume

Explanation:

volume of cylinder:

$\begin{gathered} V=\pi r^2h \\ \\ here\text{ h is the length of the pipe} \\ \\ V=3.14\times(3)^2\times25 \\ \\ V=3.14\times9\times25 \\ \\ V=707\text{ ft}^3 \end{gathered}$

Required answer:

$V=707\text{ ft}^3$

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6 months ago

A company interested in lumbering rights for a certain tract of slash pine trees is told that the mean diameter of these trees i

brilliants [131]

Answer:

97.6% of the trees will have diameters between 7.6 and 18.6 inches.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12 inches

Standard Deviation, σ = 2.2 inches

We are given that the distribution of diameter of tree is a mound shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(diameters between 7.6 and 18.6 inches)

$P(7.6 \leq x \leq 18.6) = P(\displaystyle\frac{7.6 - 12}{2.2} \leq z \leq \displaystyle\frac{18.6-12}{2.2}) = P(-2 \leq z \leq 3)\\\\= P(z \leq 3) - P(z < -2)\\= 0.999 - 0.023 = 0.976= 97.6\%$

$P(7.6 \leq x \leq 18.6) = 97.6\%$

97.6% of the trees will have diameters between 7.6 and 18.6 inches.

8 0

2 years ago

Which equations are correct? select three options. n = 10 n = 7 cf = 59 fe = 42 cd = 30

pashok25 [27]

Based on the calculations on this parallelogram, the correct equations are:

n = 10
CF = 59
FE = 42

<h3>The properties of a parallelogram.</h3>

Based on the image of the parallelogram shown in the image attached below, we can logically deduce that the opposite sides of this parallelogram are all equal. Thus, we have:

Side DE = Side CF

6n - 1 = 5n + 9

6n - 5n = 9 + 1

n = 10.

From Side CF, we have:

CF = 5n + 9

CF = 5(10) + 9

CF = 59.

For the measure of side FE, we have

FE = 4n + 2

FE = 4(10) + 2

FE = 42.

Read more on parallelogram here: brainly.com/question/16743544

#SPJ1

Complete Question:

Figure CDEF is a parallelogram.

Parallelogram C D E F is shown. The length of F C is 6 n minus 1, the length of C D is 4 n + 2, and the length of D E is 5 n + 9.

Which equations are correct? Select three options.

n = 10

n = 7

CF = 59

FE = 42

CD = 30

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Assume for a given study that the null hypothesis asserts the expected value of a phenomenon is 10. A research study results in

soldi70 [24.7K]

Answer:

I would reject the null hypothesis because it falls outside of the 95% confidence interval.

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2 years ago