Based on the family the graph below belongs to, which equation could represent the graph?

On a coordinate plane, a curve opens up and to the right. It crosses the x-axis at (negative 1.5, 0) and then crosses the y-axis at (0, negative 1).
y = 0.6 Superscript x Baseline minus 2
y = 0.6 x squared minus 1
y = negative 0.6 x cubed minus 1
y = log (x) minus 2

The correct statement is test is reliable and authentic as the probability of no false positives is more than 0.5

Given that

[tex]H_o:P= 0.50\\\\H_1:P>0.50[/tex]

Now following calculations to be done to reach the conclusion:

There is no false positive as

= 100 - 5.5

= 94.5%

[tex]\hat P =0.945, n = 12[/tex]

Now

[tex]z = \frac{\hat P - P}{\sqrt\frac{P(1-P)}{n} }\\\\=\frac{0.945-0.5}{\sqrt\frac{0.5\times0.5}{12} } \\\\= 3.08[/tex]

So

P value = P(z >3.08) = 0.0010

Therefore we can conclude that test is reliable and authentic as the probability of no false positives is more than 0.5

Learn more about the polygraph test here:

brainly.com/question/3790493

[tex] \\ \tt \longmapsto2x + 15 + 7 - 8x + 3x - 41 = 30 \\ \\ \tt \longmapsto 2x - 8x + 3x + 15 + 7 - 41 = 30 \\ \\ \tt \longmapsto - 3x - 19 = 30 \\ \\ \tt \longmapsto 3x + 19 = - 30 \\ \\ \tt \longmapsto 3x = - 30 -19 \\ \\ \tt \longmapsto 3x = - 49 \\ \\ \tt \longmapsto x = - \frac{49}{3}[/tex]

Answer:

Step-by-step explanation:

2x + 15 + 7 - 8x + 3x - 41 = 30

2x  - 8x + 3x + 15 + 7 - 41 = 30

Combine like terms

-3x - 19 = 30

Add 19 to both sides

-3x = 30 + 19

-3x = 49

Divide both sides by (-3)

x = 49/-3

x = -[tex]16\frac{1}{3}[/tex]

Answer:

25°

Step-by-step explanation:

(80-30)/2

= 50/2

= 25

Answered by GAUTHMATH

Measure of angle 1 from the given circle is 40 degree. Therefore, option B is the correct answer.

If a line is drawn from an external point to a circle, creating a tangent segment and a secant segment, then the length of the tangent segment squared is equal to the product of the lengths of the secant segment and its external segment.

Given that, PB is tangent and PV and PU are secant.

Here, measure of arc VU = 80° and measure of arc ST = 30°

Now, m∠1=1/2 ×measure of arc VU

m∠1=1/2 ×80°

m∠1=40°

Therefore, option B is the correct answer.

To learn more about the circle theorems visit:

https://brainly.com/question/19906313.

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Answer:

do you have any images with the questions?

Step-by-step explanation:

This question is solved using the central limit theorem, giving an answer of:

Fourth option, approximately normal with mean of 140 seconds and standard deviation of 10 seconds.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 140, standard deviation of 20, sample of 4:

By the Central Limit Theorem, the distribution is approximately normal.

Mean is the same, of 140.

[tex]n = 4, \sigma = 20[/tex], thus:

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{20}{\sqrt{4}} = 10[/tex]

Thus, the correct answer is:

Fourth option, approximately normal with mean of 140 seconds and standard deviation of 10 seconds.

For another example of the Central Limit Theorem, you can check https://brainly.com/question/15519207

Answer:

A = x + 15

B = 1 + 2

Step-by-step explanation:

x 2 + 17x + 30

x2 + 15 x + 2x + 30

1 ( x + 15 ) + 2 ( x + 15 )

 ( x + 15 ) ( 1 + 2 )

Hope this  answer helps you :)

Have a great day

Mark brainliest

Answer:

M ≤ μ (=78)

Here μ denotes the means of the population

And, M denotes the sample mean

Step-by-step explanation:

The computation of the  null hypothesis, in both words and symbols is given below:

Null Hypothesis(H0) is

M ≤ μ (=78)

This means that the study application does not improve the grades

Also

Alternative hypothesis (H1): M> μ

Here μ denotes the means of the population

And, M denotes the sample mean

[tex]\boxed{\sf sin\Theta=\dfrac{P}{H}}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=0.5[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=sin30[/tex]

[tex]\\ \sf\longmapsto \Theta\approx30°[/tex]

Answer: 44

Step-by-step explanation:

Sum of all angles is 180 so it is 103+33+x = 180.

so, it is 136+x = 180

x = 180-136 => 44

Answer:

x=7

Step-by-step explanation:

The sum of the arc of a circle is 360 degrees

85+5x+5+10x+5+-7+6x+6+17x = 360

Combine like terms

38x+94=360

Subtract 94 from each side

38x+94-94 = 360-94

38x = 266

Divide each side by 38

38x/28 = 266/38

x = 7

If polygons are similar ratio of sides will be same

[tex]\\ \sf\longmapsto \frac{6}{14} = \frac{3}{x} \\ \\ \sf\longmapsto 6x = 14 \times 3 \\ \\ \sf\longmapsto 6x = 42 \\ \\ \sf\longmapsto x = \frac{42}{6} \\ \\ \sf\longmapsto x = 7[/tex]

Your answer is attached above. hope it helps

Answer:

Solution given

Cos[tex]\displaystyle \theta_{1}=\frac{13}{15}[/tex]

consider Pythagorean theorem

[tex]\bold{Sin²\theta+Cos²\theta=1}[/tex]

Subtracting [tex]Cos²\theta[/tex]both side

[tex]\displaystyle Sin²\theta=1-Cos²\theta[/tex]

doing square root on both side we get

[tex]Sin\theta=\sqrt{1-Cos²\theta}[/tex]

Similarly

[tex]Sin\theta_{1}=\sqrt{1-Cos²\theta_{1}}[/tex]

Substituting value of [tex]Cos\theta_{1}[/tex]

we get

[tex]Sin\theta_{1}=\sqrt{1-(\frac{-13}{15})²}[/tex]

Solving numerical

[tex]Sin\theta_{1}=\sqrt{1-(\frac{169}{225})}[/tex]

[tex]Sin\theta_{1}=\sqrt{\frac{56}{225}}[/tex]

[tex]Sin\theta_{1}=\frac{\sqrt{56}}{\sqrt{225}}[/tex]

[tex]Sin\theta_{1}=\frac{\sqrt{2*2*14}}{\sqrt{15*15}}[/tex]

[tex]Sin\theta_{1}=\frac{2\sqrt{14}}{15}[/tex]

Since

In III quadrant sin angle is negative

Answer:

Step-by-step explanation:

In the quadrant III both the sine and cosine get negative value.

Use the identity:

And consider negative value as mentioned above:

Answer:

2nd option

Step-by-step explanation:

If f(x) is an even function , then

f(x) = f(- x)

f(x) = x² - x + 8

f(- x) = (- x)² - (- x) + 8 = x² + x + 8

Since f(x) ≠ f(- x) then f(x) is not an even function

Answer:

Graph A

Step-by-step explanation:

Answer:

Pls give me the answers as soon as possible and make sure that the answers are correct.

Answer:

5n

Step-by-step explanation:

cost of one helmet = $5

let 'n' be the number of person that is n=1,2,3,4........

note that the value of n is always a natural number

therefore the expression = 5n

where 5 is the cost one helmet

n is the number of persons

Answer:

32 of them would be unhealthy. this is because 25 times 4 equils 100, so 8 times 4 equils 32.

Answer:

32 healthy snacks

Step-by-step explanation:

-set up an equivalent fraction to keep the same proportion

8 healthy / 25 snacks = ? healthy / 100 snacks

-solve for ? healthy

8/25 = ?/100, cross multiply

25 * ? = 8*100 , divide both sides by 25

? = 800/25 = 32 healthy snacks

* you can also think that 100 is 25 four times,

so the healthy snacks are 8*4 =32

Answer:

x = 20

y = 70

Step-by-step explanation:

Since B and D are parallel :

6x - 10 + 3x + 10 = 180 add/subtract like terms

9x = 180 divide both sides by 9

x = 20

angle represented by y and 6x - 10 are supplementary and their sum is 180

y + 6x - 10 = 180 replace x with 20

y + 6*20 - 10 = 180

y + 120 - 10 = 180

y + 110 = 180 subtract 110 from both sides

y = 70

Answer:

B

Step-by-step explanation:

It's a 4 sided polygon, so it's sum of interior angle will be 360. 120+y+85+53=360. y=102

Answer:

A. Town A and Town B had the same low temperatures.

Step-by-step explanation:

The towns both A and B had low temperatures is shown by the same rate of low temperatures.

Answer:

1/5

Step-by-step explanation:

because multiply any different copies by 1/5 to get the cost of the print shop

Answer:

Reflection

Step-by-step explanation:

A rotation would be to rotate a figure around the origin

A reflection would be to reflect the figure around one of the axes.

A translation would be to move a figure a certain amount of units.

Since A and A' are 2 units away from the y-axis, and C, B, B', and C' are all one unit away from the y-axis, this could not be a translation because the position of A'B'C' is not the same position of ABC.

It could not be a rotation around the origin or any point because it would result the figure in either Quadrant 2 or 3, and in the one occasion it would be in Quadrant 1, the figure cannot be in that position.

This reveals only one option, that which is a reflection. A reflection about the x-axis would not make sense, since it would result in Quadrant 3, so a reflection around the y-axis would make the most sense.

The data we have above also accounts for a reflection, since all points are a certain distant away from the y-axis.

Answer: 804 is divisible by 1, 2, 3, 4, 6, 12 ,67 ,134 ,201, 268, 402 ,804

Answer:

The factors of 804 are: 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402,804.

Step-by-step explanation:

Answer:

x=2, x=-2, x=-3

Step-by-step explanation:

-check if anything simplifies

(x-1)(x-3)²(x+1)² / (x-2)(x+2)(x-1)(x+3), simplify (x-1)

(x-3)²(x+1)² / (x-2)(x+2)(x+3)

-make the denominator 0 to find the asymptotes

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

(x-2) =0 gives x = 2 asymptote

(x+2) =0 gives x= -2 asymptote

(x+3) = 0 gives x=- 3 asymptote

Answer:

A=0

B=0,3

C=9,3

D=9,0

Step-by-step explanation:

Multiplies all the vertices bay scale factor 3/2

Answer:

Correct option is

C

Rs.8000

SP=xRs

CP=(0.8x+600)Rs

P%=14

7

2

%

SP=

100

CP(100+P%)

x=

100

(0.8x+600)(100+

7

100

)

x=

7×100

(0.8x+600)(800)

700x=640x+480,000

x=8,000

Multiply x and y by 2:

A. (-6, 4)

B. (2, 2)

C. (-2, -2)