PLEASE HELP MEH please :

Answer:

x = 1/5

Step-by-step explanation:

Step 1: Add 9 to both sides

80x = 16

Step 2: Divide both sides by 80

x = 16/80

Step 3: Simplify by dividing top and bottom by 16

x = 1/5

And we have our final answer!

Answer:

x = 1/5

Step-by-step explanation:

80x - 9 = 7​

Add 9 into both sides.

80x = 7 + 9

80x = 16

Divide 80 into both sides.

x = 16/80

Simplify.

x = 1/5

Answer:

The probability of exactly '4' success

P( X=4) = 0.2508

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 10

Given probability of success 'p' = 0.4

   q  = 1 -p = 1 - 0.4 = 0.6

Step(ii):-

Let 'X' be the successes in binomial distribution

[tex]P( x = r) = n_{C_{r} } p^{r} q^{n-r}[/tex]

The probability of exactly '4' success

[tex]P( x = 4) = 10_{C_{4} } (0.4)^{4} (0.6)^{10-4}[/tex]

we will use factorial notation

[tex]10C_{4} = \frac{10!}{(10-4)!4!} = \frac{10 X 9 X 8 X 7 X6!}{6! 4!} = \frac{10 X 9 X8 X7}{4X 3X 2X1} = 210[/tex]

[tex]P( x = 4) = 210 X 0.0256 X0.0466[/tex]

P( X=4) = 0.2508

conclusion:-

The probability of exactly '4' success

P( X=4) = 0.2508

Answer:

[tex] \frac{1}{2} [/tex]

Step-by-step explanation:

[tex]scale \: factor = \frac{5}{10} = \frac{1}{2} \\ [/tex]

Answer:

it’s C

Step-by-step explanation:

No, the vertices of the image and pre-image do not correspond

No, the vertices of the image and pre-image do not correspond, Micaela tried to rotate the square 180° about the origin. Hence, option C is correct.

A figure can be rotated by 90 degrees clockwise by rotating each vertex of the figure 90 degrees clockwise about the origin.

Let's take the vertices of a square with points at (+1,+1), (-1,+1), (-1,-1), and (+1,-1), centered at the origin, can be found in the following positions after rotation:

Micaela's rotation must be accurate if it led to the same points. Her rotation is incorrect if the points are different, though.

It is impossible to tell if Micaela's rotation is accurate without more details or a diagram.

Thus, option C is correct.

For more information about rotation about the origin, click here:

https://brainly.com/question/30198965

#SPJ7

Answer:

  6 to the power of 1/6

Step-by-step explanation:

In general, a root is the same as a fractional power. That is, ...

  [tex]\sqrt[n]{x}=x^{\frac{1}{n}}[/tex]

So, the square root of a cube root is ...

  (6^(1/3))^(1/2)

According to the rules of exponents, a power of a power is ...

  (a^b)^c = a^(bc)

so, the above root of a root is ...

  (6^(1/3))^(1/2) = 6^((1/3)(1/2)) = 6^(1/6)

The square root of the cube root of 6 is 6 to the power of 1/6.

Answer:

A) 6^1/6 or 6 to the power of 1 sixth

Answer:

556

Step-by-step explanation:

7+8+8+9

Answer:

-8x^a+b + 4x^a+3 - 10x^a+1

Answer:

C. No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.

Step-by-step explanation:

Dilation is the process in which the size i.e dimensions of a given figure is either increased or decreased by a scale factor, without changing the shape of the figure.

Given that: PA = 2, PB = 3, A[tex]A^{I}[/tex] = 4, B[tex]B^{I}[/tex] = 5.

So that: P[tex]A^{I}[/tex] = 6, P[tex]B^{I}[/tex] = 8.

Therefore, triangle A'B'C' is not an exact dilation of triangle ABC. So that the correct option is; No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.

Answer:

the answer is c

Step-by-step explanation:

Answer:

17x +7y

Step-by-step explanation:

8x + 10y + 9x - 3y

Combine like terms

8x+ 9x          + 10y - 3y

17x                   +7y

8x+9x are like terms    and 10y -3y are like terms

Answer:

17x + 7y

Step-by-step explanation:

8x + 10y + 9x - 3y

Rearrange.

8x + 9x + 10y - 3y

Factor out x and y.

x (8 + 9) + y (10 - 3)

Add or subtract.

x (17) + y (7)

17x + 7y

Answer:

2

Step-by-step explanation:

Since there are four negative signs, we have -1 multiplying each other 4 times,  multiplying by positive 2. This is then 1 * 2, which is 2.

Answer:

+2

Step-by-step explanation:

=> -(-(-(-2))))

=> -(-(+2))

=> -(-2)

=> +2

Question:

You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 5 years of the actual mean with a confidence level of 97% , how many citizens should be included in your sample? Assume that the standard deviation of the ages of all the citizens in this community is 18 years.

Answer:

61.03

Step-by-step explanation:

Given:

Standard deviation = 18

Sample estimate = 5

Confidence level = 97%

Required:

Find sample size, n.

First find the Z value. Using zscore table

Z-value at a confidence level of 97% = 2.17

To find the sample size, use the formula below:

[tex] n = (Z * \frac{\sigma}{E})^2[/tex]

[tex] n = ( 2.17 * \frac{18}{5})^2 [/tex]

[tex] n = (2.17 * 3.6)^2 [/tex]

[tex] n = (7.812)^2 [/tex]

[tex] n = 61.03 [/tex]

Sample size = 61.03

Answer:

-3

Step-by-step explanation:

every sequence goes down by -3

Answer:

take away 3. the common difference is 3

Step-by-step explanation:

take away 3

Answer:

[tex]-\frac{161}{9}=\\or\\-16\frac{8}{9}[/tex]

Step-by-step explanation:

[tex]-6\frac{4}{9}-3\frac{2}{9}-8\frac{2}{9}=\\\\-\frac{58}{9}-\frac{29}{9}-\frac{74}{9}=\\\\-\frac{161}{9}=\\\\-16\frac{8}{9}[/tex]

The answer has one solution:

_______________________________

       →  x = 6 ; y = 7 ;  or, write as:  [6, 7].

_______________________________

Step-by-step explanation:

_______________________________

Given:

y = x + 1;

y = 2x – 5 ;

_______________________________

2x  – 5 = x + 1  ;  Solve for "x" ;

Subtract "x" ; and Subtract "1" ; from Each Side of the equation:

   2x  – x  – 5  – 1 = x  – x  +  1  –  1 ;

to get:  

   x   –  6  =  0  ;

Now, add "6" to Each Side of the equation;

       to isolate "x" on one side of the equation;

        and to solve for "x" :

    x   –  6   +  6 =  0  +  6  ;

to get:

       x  =  6 .

_______________________________

Now, let us solve for "y" ;  

We are given:  

  y =  x + 1  ;

Substitute our solved value for "x" ; which is:  "6" ; for "x" ; into this given equation; to obtain the value for "y" :

 y =  x + 1 ;

    =  6 + 1 ;

 y =  7 .

_______________________________

Let us check our answers by plugging the values for "x" and "y" ;

("6" ; and "7"; respectively);  into the second given equation; to see if these values for "x" and "y" ; hold true:

  Given:  y = 2x –  5 ;

        →  7 =? 2(6) –  5 ??  ;

        →  7 =? 2(6) –  5 ??  ;        

        →  7 =?  12   –  5 ??  ;

        →  7 =?   7 ?? ;

        →  Yes!

_______________________________

The answer has one solution:

       →  x = 6 ; y = 7 ;  or, write as:  [6, 7].

_______________________________

Hope this is helpful!  Best wishes!

_______________________________

Answer:

________________________

Answer:

[tex]P(11.5<X<15.5)=P(\frac{11.5-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{13.5-\mu}{\sigma})=P(\frac{11.5-13.5}{2}<Z<\frac{15.5-13.5}{2})=P(-1<z<1)[/tex]

And we can find the probability with this difference

[tex]P(-1<z<1)=P(z<1)-P(z<-1)[/tex]

And we can use the normal standard distribution or excel and we got:

[tex]P(-1<z<1)=P(z<1)-P(z<-1)=0.841-0.159=0.682[/tex]

So then we expect a proportion of 0.682 between 11.5 and 13.5

Step-by-step explanation:

Let X the random variable that represent the price earning ratios of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(13.5,2)[/tex]  

Where [tex]\mu=13.5[/tex] and [tex]\sigma=2[/tex]

We want to find the following probability

[tex]P(11.5<X<15.5)[/tex]

And we can use the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Using this formula we got:

[tex]P(11.5<X<15.5)=P(\frac{11.5-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{13.5-\mu}{\sigma})=P(\frac{11.5-13.5}{2}<Z<\frac{15.5-13.5}{2})=P(-1<z<1)[/tex]

And we can find the probability with this difference

[tex]P(-1<z<1)=P(z<1)-P(z<-1)[/tex]

And we can use the normal standard distribution or excel and we got:

[tex]P(-1<z<1)=P(z<1)-P(z<-1)=0.841-0.159=0.682[/tex]

So then we expect a proportion of 0.682 between 11.5 and 13.5

Answer:

  50 in²

Step-by-step explanation:

If we assume that 5 inch and 15 inch are the base dimensions, the area formula tells us the area is ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(5 in +15 in)(5 in) = 50 in²

The area of the trapezoid is 50 square inches.

Answer:

[tex]z=\frac{404-409}{\frac{24}{\sqrt{42}}}=-1.35[/tex]  

The p value for this case is given by:

[tex]p_v =P(z<-1.35)=0.0885[/tex]  

For this case the p value is higher than the significance level given so we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean is significantly less than 409

Step-by-step explanation:

Information given

[tex]\bar X=404[/tex] represent the sample mean

[tex]\sigma=24[/tex] represent the population standard deviation

[tex]n=42[/tex] sample size  

[tex]\mu_o =409[/tex] represent the value to verify

[tex]\alpha=0.01[/tex] represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to verify if the true mean is less than 409, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \geq 409[/tex]  

Alternative hypothesis:[tex]\mu < 409[/tex]  

The statistic for this case is given by:

[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex] (1)  

Replacing the info we got:

[tex]z=\frac{404-409}{\frac{24}{\sqrt{42}}}=-1.35[/tex]  

The p value for this case is given by:

[tex]p_v =P(z<-1.35)=0.0885[/tex]  

For this case the p value is higher than the significance level given so we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean is significantly less than 409

Answer:

B) 92.03 < μ < 97.97

99% confidence interval for the mean score of all students.

92.03 < μ < 97.97

Step-by-step explanation:

Step(i):-

Given sample mean (x⁻) = 95

standard deviation of the sample (s) = 6.6

Random sample size 'n' = 30

99% confidence interval for the mean score of all students.

[tex]((x^{-} - Z_{0.01} \frac{S}{\sqrt{n} } , (x^{-} + Z_{0.01} \frac{S}{\sqrt{n} })[/tex]

step(ii):-

Degrees of freedom

ν =   n-1 = 30-1 =29

[tex]t_{0.01} = 2.462[/tex]

99% confidence interval for the mean score of all students.

[tex]((95 - 2.462 \frac{6.6}{\sqrt{30} } , 95 + 2.462\frac{6.6}{\sqrt{30} } )[/tex]

( 95 - 2.966 , 95 + 2.966)

(92.03 , 97.97)

Final answer:-

99% confidence interval for the mean score of all students.

92.03 < μ < 97.97

Answer:

Its D The Last Graph

Step-by-step explanation:

it just is my guy

Answer:

Option C (-4,-1) (In Quadrant III)

Step-by-step explanation:

Coordinate = (-4,1)

=> Reflecting over y-axis will make the coordinate (4,1)

=> Reflecting across x-axis will make the coordinate (4,-1)

=> Rotating 180 will make it (-4,-1)

Answer:

5.12 x 10¹¹ bit

Step-by-step explanation:

1GB = 8 x 10⁹ bits

so 64gb = 64 x 8 x 10⁹

= 512 x 10⁹

= 5.12 x 10¹¹ bits

scientific notation = 5.12 x 10¹¹ bits

standard Notation = 512 ,000,000,000 bits.

Answer:

The amount of money separating the lowest 80% of the amount invested from the highest 20% in a sampling distribution of 10 of the family's real estate holdings is $238,281.57.

Step-by-step explanation:

Let the random variable X represent the amount of money that the family has invested in different real estate properties.

The random variable X follows a Normal distribution with parameters μ = $225,000 and σ = $50,000.

It is provided that the family has invested in n = 10 different real estate properties.

Then the mean and standard deviation of amount of money that the family has invested in these 10 different real estate properties is:

[tex]\mu_{\bar x}=\mu=\$225,000\\\\\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{50000}{\sqrt{10}}=15811.39[/tex]

Now the lowest 80% of the amount invested can be represented as follows:

[tex]P(\bar X<\bar x)=0.80\\\\\Rightarrow P(Z<z)=0.80[/tex]

The value of z is 0.84.

*Use a z-table.

Compute the value of the mean amount invested as follows:

[tex]\bar x=\mu_{\bar x}+z\cdot \sigma_{\bar x}[/tex]

   [tex]=225000+(0.84\times 15811.39)\\\\=225000+13281.5676\\\\=238281.5676\\\\\approx 238281.57[/tex]

Thus, the amount of money separating the lowest 80% of the amount invested from the highest 20% in a sampling distribution of 10 of the family's real estate holdings is $238,281.57.

Answer:

Length: 18

Width: 9

Step-by-step explanation:

Denote the width as x, hence the length is x+9. As a result, you can create the equation x(x+9) = 162. Solving, you find x = 9.

Answer:

The 88% confidence interval for the proportion of defectives today is (0.053, 0.123)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 160, \pi = \frac{14}{160} = 0.088[/tex]

88% confidence level

So [tex]\alpha = 0.12[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.12}{2} = 0.94[/tex], so [tex]Z = 1.555[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.088 - 1.555\sqrt{\frac{0.088*0.912}{160}} = 0.053[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.088 + 1.555\sqrt{\frac{0.088*0.912}{160}} = 0.123[/tex]

The 88% confidence interval for the proportion of defectives today is (0.053, 0.123)

Answer:8.2 x 10^5

Step-by-step explanation:

Answer:

D. The data represent an exponential function because there is a common ratio of 1/3.

Step-by-step explanation:

To find a common ratio, find out what the first "y" must be multiplied by to get to the next "y."

162 = 54x

162 ÷ 54 = 3

However, the common ratio is not 3 because the y values are decreasing. The common ratio is 1/3 because 162 × 1/3 = 54.

I hope this helps :))

Answer:

D

Step-by-step explanation:

Answer:

80-119 ⇒ 5

Because

80-99 ⇒ 3

100-119 ⇒ 2

So 2+3 = 5

Answer:

80-119: 5

Step-by-step explanation:

If you just added up, you can find all the values.

Answer:

Luther is wrong

Wade is right

Step-by-step explanation:

Luther's case 2^3 = 2x2x2 = 8

Wade's case 3^3 = 3 x 3 = 9

Answer:

Luther is incorrect, while Wade is correct. (2)(2)(2)=8, not 9. (3)(3)= 9.

Step-by-step explanation:

I put that as my answer and it was counted as right.

Answer:

X is 3 units.

Step-by-step explanation:

Volume of prism is cross sectional area multiplied by length. So 1/2 ×2× x ×2 into 3x, which is equal to 6x^2. So, 6x^2=54. Therefore, x=3.