Laura graphs these equations and finds that the lines intersect at a single
point, (1.5, -1.5)

Answer:

The calculated value  t = 1.399 < 2.5705 at 0.025 level of significance

Null hypothesis is accepted

The population distribution is approximately normal

Step-by-step explanation:

Step(i):-

Given mean of the Population = 5.0

sample size 'n'= 6

The mean of the sample x=5.4 pounds /square inch

The standard deviation of the sample (S) = 0.7

Level of significance = 0.025

Null Hypothesis : The sample came from population

H₀ : x⁻ = μ

Alternative Hypothesis :H₁ : x⁻ ≠ μ

Step(ii):-

Test statistic

                      [tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]

                     [tex]t = \frac{5.4 -5.0}{\frac{0.7}{\sqrt{6} } }[/tex]

                     t = 1.399

Degrees of freedom = n-1 =6-1 =5

The tabulated value

                  t = 2.5705

The calculated value  t = 1.399 < 2.5705 at 0.025 level of significance

Null hypothesis is accepted

The population distribution is approximately normal

Answer:

D. 16 days

Step-by-step explanation:

Set up an equation where x is the number of days.

60x will represent his cost to rent the equipment.

35x + 400 will represent his cost if he buys the equipment.

Set these equal to each other and solve for x:

60x = 35x + 400

25x = 400

x = 16

So, the break even point is 16 days.

Answer:

y = -5x + 29

Step-by-step explanation:

Slope-Intercept Form of the Line

Given a line of slope m and y-intercept b, the equation of the line can be written as:

y = mx + b

The slope can be calculated by using the formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x1,y1) and (x2,y2) are the points through which the line passes.

We are given the points (5,4) and (6,-1), thus:

[tex]\displaystyle m=\frac{-1-4}{6-5}=\frac{-5}{1}=-5[/tex]

Now we use one of the points to find the value of b, for example (5,4):

4 = -5(5) + b

b = 25+4 = 29

Thus, the equation of the line is:

y = -5x + 29

Answer:

let remaining angle in heptagon be a.

a+64=180(linear pair)

a=116

again

x+155+90+163+a+121°=720(sum of interior angle of hexagon is (6-2)×180°)

x+529+a=720

x+116=720-529

x=191-116=75

Answer:

2520

Step-by-step explanation:

 72

x 35

_____

360

2160

______

2520

Answer:

Blue part = [tex]\dfrac{6}{17}[/tex]

Step-by-step explanation:

Given that,

Total number of jelly beans = 17

Red beans = 2

Blue beans = 6

White beans = 4

Green beans = 5

We need to find what part of the jelly beans is blue.

[tex]F_b=\dfrac{\text{Blue beans}}{\text{Total beans}}\\\\F_b=\dfrac{6}{17}[/tex]

Hence, the required part of the jelly beans that is blue is [tex]\dfrac{6}{17}[/tex].

Answer: The answer is 9

Step-by-step explanation: 9 is the number and thats what median means.

Answer:

D.) 9

Step-by-step explanation:

The box and whisker plot gives you the answer about the median. It's mainly just the middle line of the box.

Answer:

d

Step-by-step explanation:

because both the measurement and the congruent side are opposite in sentence

Answer:

[tex]P(L\ or\ C) = 0.13[/tex]

Step-by-step explanation:

Given

Represent loose threads with L, Crooked stitching with C.

So, we have:

[tex]P(L) = 6.5\%[/tex]

[tex]P(C) = 9.5\%[/tex]

[tex]P(L\ and\ C) = 3\%[/tex]

Required

Calculate P(L or C)

In probability:

[tex]P(A\ or\ B) = P(A) + P(B) - P(A\ and\ B)[/tex]

In this case:

[tex]P(L\ or\ C) = P(L) + P(C) - P(L\ and\ C)[/tex]

Substitute values for P(L), P(C) and P(L and C)

[tex]P(L\ or\ C) = 6.5\% + 9.5\% - 3\%[/tex]

[tex]P(L\ or\ C) = 13\%[/tex]

Convert to decimal

[tex]P(L\ or\ C) = 0.13[/tex]

Hence:

The required probability is 0.13

Answer:

D=17

Step-by-step explanation:

D+23=40

D+23-23=40-23

D=17

Answer:

(a,m=(-1499/1812, 1/2)

Step-by-step explanation:

hope this helps!

Answer:

equal to

Step-by-step explanation:

1/3 = 3/9

1/3 = 1*3/3*3 = 3/9

Answer:

1/3 is equal to 3/9

Step-by-step explanation:

If you take the fraction 1/3 and multiply it by 3/3, you get 3/9. You can check this by taking the larger fraction, 3/9, and dividing it by 3/3 to get 1/3.

Answer:

a. 7 ( 5 x + 7 y )

b.7 ( 11 x − 8 y )

Step-by-step explanation:

im pretty sure that this is correct and hope it helps!

Answer:

0.23 = 23/100 or 23%

Step-by-step explanation:

Hope this helps ^v^ Byeeee

Answer:

23/100

Step-by-step explanation:

btw, r u really korean?

Answer: she will need 2.8 days to finish the work.

Step-by-step explanation:

Let's define:

D = number of days.

B = rate at which Barbara paints a barn

S = rate at which Sara paints a barn

We know that Barbara can paint a barn in 5 days, then:

B*5 days = 1 barn

B = 1/5 barns per day.

And we know that Sara can paint it in 8 days, then:

S*8 days = 1 barn

S = 1/8 barns per day.

Now, when they work together, their rates are added.

Then if they work together for two days, they paint a total of:

(1/5 barns per day + 1/8 barns per day)*2 days

(8/40 barns per day + 5/40 barns per day)*2 days

(13/40 barns per day)*days = 26/40 barns

Now Sara needs to paint he other 14/40 barns in her own, she will need D days, then:

(1/8 barns per day)*D = 14/40 barns

D = (14/40 barns)/(1/8 barns per day) = (14*8/40) = 2.8 days.

So she will need 2.8 days to finish the work.

Answer:

The answer is D

Step-by-step explanation:

d

Complete question :

The lifetimes of a certain type of calculator battery are normally distributed. The mean lifetime is 400 days, with a standard deviation of 50 days. For a sample of 6000 new batteries, determine how many batteries will last: 360 and 460 days

Answer:

0.67307

Step-by-step explanation:

Given that :

Mean, m = 400

Standard deviation, s = 50

Sample size, n = 6000

Obtain the standardized score :

Zscore =(x - m) / s

For X = 360

P(x < 360)

Zscore =(360 - 400) / 50

Zscore = - 40 / 50

Zscore = - 0.8

P(Z < - 0.8) = 0.21186

For X = 460

P(x < 460)

Zscore =(460 - 400) / 50

Zscore = 60 / 50

Zscore = 1.2

P(Z < 1.2) = 0.88493

P(Z < 1.2) - P(Z < - 0.8)

0.88493 - 0.21186

= 0.67307

Answer:

115.6, 114.52, 114.483, 15.305

Step-by-step explanation:

Answer:

115•6 114•483 114•52 15•305

Answer: i will answer dont worry but wheres the shaded regoin

Step-by-step explanation:

i will type the real answer in the comments below

Answer:

tax = $30.00 * 8% tax = $30.00 * 0.08 tax = $2.40

Step-by-step explanation:

Answer: -4 and 4

Step-by-step explanation:

In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.

Answer:

leg a is 3 units and leg b is 8 units

Step-by-step explanation:

[tex]3^{2} + 8^{2} =73[/tex]

[tex]\sqrt{73} = 8.5[/tex]

so the hypotenuse is 8.5 hope this helps

Answer:

1/3

Step-by-step explanation

(1/3)2x(1/3)-1  _  (1/3) 2-1  _  subtract 2-1  _  (1/3)1 take the one away bc any expression raised to the power of one equals itself

Answer:

14

Step-by-step explanation:

To find x, you will need to use sine. If you want to find y, use cosine:

sin 45 = x / 14 sqrt(2)

x = 14

(Since this is a 45 45 90 special triangle, x and y have the same length)

Since I talk about special triangles, 45 45 90 triangles are very simple:

To find the other two side lengths, just divide the hypotenuse by sqrt 2

14 sqrt(2) / sqrt(2) = 14

So both ways will still lead to 14

Answer:

y=2

Step-by-step explanation:

Answer:

For 10. the answer is 0, and 150 miles (assuming the 25 is in miles per hour)

For 11. the answer is 0, and 22.5 tacos

Step-by-step explanation:

Rate of change is equal to the change y over the change in x, or in this case, the change in speed over the change in time, because the rate for both problems is "constant", there is no change in speed. To find the number of miles driven you need to multiply the time passed (6 hours) by the speed (25 mph), 6 x 25 = 150. The number of tacos eaten is times passed (9 minutes) multiplied by the speed he is eating tacos (2.5 tacos per minute), 2.5 x 9 = 22.5. Hope this helps!

Answer:

I would want to say 11.6

Step-by-step explanation:

I divide 29 by 2.5= 11.6.