Find the unknown side length, x. Write your answer in simplest radical form.
A. 3
B. 34
C. 6.
D. 41

Answer: (16.47, 17.49)

Step-by-step explanation:

Formula for confidence interval for the true mean if population stanmdard deviation is unknown:

[tex]\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}[/tex]

, where [tex]\overline{x}[/tex] = sample mean

n= sample size

s= sample standard deviation

[tex]t_{\alpha/2}[/tex] = Two tailed critical value.

We assume that the level of polyunsaturated fatty acid is normally distributed.

Given,

n= 6

degree of freedom = n-1 =5

[tex]\overline{x}[/tex] = 16.98

s= 0.31

significance level[tex](\alpha)[/tex] =1-0.99=0.01

Two tailed t- value for degree of freedom of 5 and significance level of 0.01 = [tex]t_{\alpha/2}=4.0317[/tex]    [by student's t-table]

Now , the 99% confidence interval for the true mean of fatty acid level is:

[tex]16.98\pm 4.0317(\dfrac{0.31}{\sqrt{6}})\\\\=16.98\pm 4.0317(0.126557)\\\\=16.98\pm 0.51024\\\\=(16.98-0.51023,\ 16.98+0.51023)\\\\=(16.46977,\ 17.49023)\approx (16.47,\ 17.49)[/tex]

Hence, a 99% confidence interval for the true mean of fatty acid level is: (16.47, 17.49)

Answer:

10,341

Step-by-step explanation:

[tex]S_{n}=\frac{n}{2} (a_1}+a_{n})\\S_{54}=\frac{54}{2} (6+377)=27 \times 383=10,341[/tex]

Answer:

50 mph

Step-by-step explanation:

The total distance is 350 miles.

The total time is 3 hr + (240 mi / 60 mph) = 7 hr.

The average speed is 350 mi / 7 hr = 50 mph.

Answer:

Mars

Step-by-step explanation:

America

Answer:

3.716 m²

Step-by-step explanation:

10⁻² = 0.01, so 9.29 x 0.01 = 0.0929

multiple 0.0929 by 40 to get 3.716 m²

Answer:

The answer is

Step-by-step explanation:

The above variation is written as

[tex]y = \frac{k}{ {x}^{2} } [/tex]

where k is the constant of variation

when y = 9

x = 4

We have

k = yx²

k = 9(4)²

k = 9 × 16

k = 144

So the formula for the variation is

[tex]y = \frac{144}{ {x}^{2} } [/tex]

when y = 1

[tex]1 = \frac{144}{ {x}^{2} } [/tex]

Cross multiply

x² = 144

Find the square root of both sides

x = √144

x = 12

Hope this helps you.

±2

Step-by-step explanation:

Answer:

Yes, because the four points in the upper right corner from the same pattern as the four points in the lower left corner.

Step-by-step explanation:

The correlation coefficient for the points in the lower left corner equals zero.

The four points in the upper right corner have the same correlation coefficient because the four points in the upper right corner from the same pattern as the four points in the lower left corner.

Answer:

0.3110

Step-by-step explanation:

This is a binomial distribution with probability of success (being a chemistry major) p = 0.40.

The general formula for a binomial distribution is:

[tex]P(x=k)=\frac{n!}{(n-k)!k!}*p^k*(1-p)^{n-k}[/tex]

Where n is the sample size and k is the desired number of successes.

The probability of k=2 in a sample of n =6 is:

[tex]P(x=2)=\frac{6!}{(6-2)!2!}*0.4^2*(1-0.4)^{6-2} \\P(x=2)=\frac{6!}{(6-2)!2!}*0.4^2*(1-0.4)^{6-2}\\P(x=2)=3*5*0.4^2*0.6^4\\P(x=2)=0.3110[/tex]

The probability is 0.3110

Answer:

[tex]\sqrt{x-4} +5[/tex]

Step-by-step explanation:

the conjugate of [tex]\sqrt{x-4} -5[/tex]  is the term that completes a²-b² when multiplied by each other

a²-b² = (a+b)(a-b)

Answer:

the actual answer is 78750

Step-by-step explanation:

summation of 2-176 in the equation 5n+5

Answer:

Below

Step-by-step explanation:

Using the proprtionality relation:

● 8/10 =5/x

● (4*2)/(5*2) = 5/x

Simplify using 2

● 4/5 = 5/x

Multiply both sides by 5

● (4/5)*5 = (5/x)*5

● 4 = 25/x

Switch x and 4

● x= 25/4

■■■■■■■■■■■■■■■■■■■■■■■■■

Again use the proportionality relation but this time with y.

● 8/10 =7/y

8/10 = 4/5

● 4/5 = 7/y

Multiply both sides by 5

● (4/5)*5 =(7/y)*5

● 4 = 35/y

Switch 4 and y

● y = 35/4

Answer:

= A

explanation :

Answer:

-2 is a zero of the polynomial. 2 is not a zero of the polynomial.

Step-by-step explanation:

A value of x is a zero of a polynomial if when it is substituted for x in the polynomial, it makes the polynomial evaluate to zero.

The polynomial is x + 2

Let x = -2:

x + 2 = -2 + 2 = 0

-2 is a zero of the polynomial.

Let x = 2:

x + 2 = 2 + 2 = 4

2 is not a zero of the polynomial.

Answer:

[tex]\large \boxed{\sf \ \ (-5,0) \ and \ (4,0) \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to find the zeroes of

[tex]-0.25x^2-0.25x+5=0\\\\\text{*** multiply by -4 ***} \\ \\x^2+x-20=0\\\\\text{*** the sum of the zeroes is -1 and the product -20=-5x4 ***}\\\\x^2+5x-4x-20=x(x+5)-4(x+5)=(x+5)(x-4)=0\\\\x=4 \ or \ x=-5[/tex]

and then g(4)=0 and g(-5)=0

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:(-5,0) (4,0)

I took the test hope it helps you (:

Answer:

18.9 units of fencing

Step-by-step explanation:

First find the perimeter

P = 2(l+w)

P = 2( 2.5+1.28)

P = 2( 3.78)

P =7.56m

We need 2.5 units of fencing for each meter

Multiply by 2.5

7.56*2.5

18.9 units of fencing

Answer:

Julio needs to purchase 18.9 units of fencing.

Step-by-step explanation:

I meter of the perimeter accounts for 2.5 units of fencing. Respectively 2 meters account for 2 times as much, and 3 meters account for 3 times as much of 2.5 units. Therefore, if we determine the perimeter of this rectangular garden, then we can determine the units of fencing by multiplying by 2.5.

As you can see this is a 2.5 by 1.28 garden. The perimeter would be two times the supposed length, added to two times the width.

2.5 x 2 + 1.28 x 2 = 5 + 2.56 = 7.56 - this is the perimeter. The units of fencing should thus be 7.56 x 2.5 = 18.9 units, or option d.

Answer:

Step-by-step explanation:

7/5 + 3/4 x 2/5 - 3/2

 7/5 + 3/10 - 3/2

    17/10 - 3/2

         1/5

Step-by-step explanation:

Here, the given polynomial are,

=7/5+3/4×2/5-3/2

multiplying 3/4 and 2/5

= 7/5+6/20-3/2

taking LCM and adding them.

=(7×4+6×1-3×10)/20

by simplifying it we get, the answer is 1/5.

Hope it helps..

Answer:

0.992774 ≅ .993

Step-by-step explanation:

a²+b²=c²

a=x

b=3

c=3.16

x²+3²=3.16²

x²+9=9.9856

x²=.9856

x=0.992774

x≅0.993

Answer:

upper box is 0

middle box is 3 and

the downer box is 6

Step-by-step explanation:

Have a nice day

Answer:

8

Step-by-step explanation:

you would just divide 32 by 4

4x = 32

x = 32/4

x=8

Answer:

[tex]\large\boxed{\sf \ \ \ x=8 \ \ \ }[/tex]

Step-by-step explanation:

Hello

4x=32 we can divide both parts by 4 so

   [tex]\dfrac{4x}{4}=\dfrac{32}{4}\\\\<=> x = 8[/tex]

Hope this helps

Answer:

Refeect circle A over the the y line = x

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Inverse variation on a graph is depicted by the movement of the graph diagram (line) in a downward motion

Answer:true

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

im not too sure

Answer:

[tex]\large \boxed{\ \ \dfrac{63}{5} \ \ }[/tex]

Step-by-step explanation:

Hello,

"Find the sum of the following infinite geometric series"

infinite

   We will have to find the limit of something when n tends to [tex]+\infty[/tex]

geometric series

   This is a good clue, meaning that each term of the series follows a geometric sequence. Let's check that.

The sum is something like

           [tex]\displaystyle \sum_{k=0}^{+\infty} a_k[/tex]

First of all, we need to find an expression for [tex]a_k[/tex]

First term is

   [tex]a_0=7[/tex]

Second term is

    [tex]a_1=\dfrac{4}{9}\cdot a_0=7*\boxed{\dfrac{4}{9}}=\dfrac{7*4}{9}=\dfrac{28}{9}[/tex]

Then

   [tex]a_2=\dfrac{4}{9}\cdot a_1=\dfrac{28}{9}*\boxed{\dfrac{4}{9}}=\dfrac{28*4}{9*9}=\dfrac{112}{81}[/tex]

and...

   [tex]a_3=\dfrac{4}{9}\cdot a_2=\dfrac{112}{81}*\boxed{\dfrac{4}{9}}=\dfrac{112*4}{9*81}=\dfrac{448}{729}[/tex]

Ok we are good, we can express any term for k integer

   [tex]a_k=a_0\cdot (\dfrac{4}{9})^k[/tex]

So, for n positive integer

[tex]\displaystyle \sum_{k=0}^{n} a_k=\displaystyle \sum_{k=0}^{n} 7\cdot (\dfrac{4}{9})^k=7\cdot \dfrac{1-(\dfrac{4}{9})^{n+1}}{1-\dfrac{4}{9}}=\dfrac{7*9*[1-(\dfrac{4}{9})^{n+1}]}{9-4}=\dfrac{63}{5}\cdot [1-(\dfrac{4}{9})^{n+1}}][/tex]

And the limit of that expression when n tends to [tex]+\infty[/tex] is

   [tex]\large \boxed{\ \ \dfrac{63}{5} \ \ }[/tex]

as

   [tex]\dfrac{4}{9}<1[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

5 and 1 over 6

Step-by-step explanation:

Simplifying the given:

Correct choice is the last one: 5 and 1 over 6

5 and 1 over 6    .......................................                        

Answer:

The correct option is (C).

Step-by-step explanation:

The exponential function representing decay is as follows:

[tex]y=y_{0}\cdot e^{kt};\ k<0[/tex]

Here,

y = final value  

y₀ = initial value  

k = growth rate  

t = time passed

The graph represents exponential decay is:

"On a coordinate plane, a graph approaches y = 0 in quadrant 1 and curves up into quadrant 2."

Thus, the correct option is (C).

Answer:

The answer is C

Step-by-step explanation:

I  just took the test on edge

Answer:

c) 52.8 m

Step-by-step explanation:

The radius of a conical tent, r = 5.6 m

The slant height = 12 m.

The area of the canvas required to make the tent is equal to the lateral area of the cone.

[tex]\text{Lateral Area of a Cone}= \pi r l\\=\pi \times 5.6 \times 12\\=67.2\pi$ m^2[/tex]

Since the width of the canvas = 4 m

Let the length = l

Area of the canvas = 4l

[tex]4l=67.2\pi$ m^2\\l=67.2\pi \div 4\\l=52.8 m$ (correct to 1 decimal place)[/tex]

The length of the canvas required  to make the tent is 52.8m.

Answer:

probability that the other side is colored black if the upper side of the chosen card is colored red = 1/3

Step-by-step explanation:

First of all;

Let B1 be the event that the card with two red sides is selected

Let B2 be the event that the

card with two black sides is selected

Let B3 be the event that the card with one red side and one black side is

selected

Let A be the event that the upper side of the selected card (when put down on the ground)

is red.

Now, from the question;

P(B3) = ⅓

P(A|B3) = ½

P(B1) = ⅓

P(A|B1) = 1

P(B2) = ⅓

P(A|B2)) = 0

(P(B3) = ⅓

P(A|B3) = ½

Now, we want to find the probability that the other side is colored black if the upper side of the chosen card is colored red. This probability is; P(B3|A). Thus, from the Bayes’ formula, it follows that;

P(B3|A) = [P(B3)•P(A|B3)]/[(P(B1)•P(A|B1)) + (P(B2)•P(A|B2)) + (P(B3)•P(A|B3))]

Thus;

P(B3|A) = [⅓×½]/[(⅓×1) + (⅓•0) + (⅓×½)]

P(B3|A) = (1/6)/(⅓ + 0 + 1/6)

P(B3|A) = (1/6)/(1/2)

P(B3|A) = 1/3

Answer:

He spends $1.20 Which means he has $4.80 remaining.

Step-by-step explanation:

1/5 of 6 is 6/1 multiplied by 1/5 and that is 6/5 or 1 1/5

1/5 of a dollar is 20 cents. he has $1.20

6-1.20=4.80.

Answer:

[tex]4.80 => Answer[/tex]

Step-by-step explanation:

Use the information given.

1/5 of 6 is equal to 6/5

6/5 = 1.2

Now subtract.

[tex]6-1.2= 4.8[/tex]

So the answer is 4.80 or 4.8

Hope this helps! :)

By: ❤️BrainlyMagic❤️

Brainliest would be appreciated!

Answer:

20.8 hours

Step-by-step explanation:

2 3/5 = 2.6.The painter will take (2.6 × 8) = 20.8 hours to paint a wall.

Hope this helps and pls mark as brianliest :)

Answer:

20.8, 20 4/5, and 104/5