need help thanksssss

Answer:

0.8390

Step-by-step explanation:

From the question,

Z score = (Value-mean)/standard deviation

Z score = (150.2-160.5)/10.4

Z score = -0.9904.

P(x>Z) = 1- P(x<Z)

From the Z table,

P(x<Z) = 0.16099

Therefore,

P(x>Z) = 1-0.16099

P(x>Z) = 0.8390

Hence the probability that a person weighs more than 150.2 pounds = 0.8390

Answer:

h(6) = 8

Step-by-step explanation:

h(6) is find the value of the function when x=6

What is the y value  ( the value of the blue line) when x=6

Go to x=6 and go up to the blue line

y =8

h(6) = 8

Answer:

At X = 6 , h(X) = 8

plug the value of x

h (6) = 8

please see the attached picture..

Hope this helps...

Good luck on your assignment...

Answer:

Step-by-step explanation:

m= the amount of money the mechanic makes.

h= the amount of money the helper makes.

m=h+5

m+h=114

h+5+h=114

2h+5=114

h=54.50

m=59.5

Helper makes $9 an hour.

Mechanic makes $9.92 an hour.

The earning of helper each earn per hour is 7$ /hr.

To find earning of helper per hour.

science that deals with the addition, subtraction, multiplication, and division of numbers and also the properties and manipulation of numbers.

Given that:

let the cost /per hour of helper be x

and that of the mechanic is x+5

now for 6 hour job total earning is

6(x+x+5) = 114

=> 2x+5 = 19

so, 2x = 14 or x = 7

the earning of helper is = 7$ /hr

and earning of mechanic is = 12$/hr

So, the earning of helper each earn per hour is 7$ /hr.

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Answer:

t = p * n

Step-by-step explanation:

* - multiplication

t is the total cost

in order to find total cost we need to multiple cost per mile on the number of miles so we will receive cost of all miles that we went

Answer:

[tex]\boxed{t=pn }[/tex]

Step-by-step explanation:

t is total cost

The formula is in terms of t (total cost).

p is price per mile

Suppose the price per mile is £60. For every mile he travelled, he has to pay £60.

n is the number of miles travelled.

For example, Carlos travelled 4 miles and the price per mile is £30.

[tex]t=30 \times 4\\t=120[/tex]

His total cost will be £120.

Answer:

99.5% Confidence interval = (-0.025, 0.547)

= -0.025 < p < 0.547

Step-by-step explanation:

             | A | B | C | Total

Male      | 5 | 4 | 17 | 26

Female | 6 | 2 | 15 | 23

Total     | 11 | 6 | 32 | 49

If p represent the proportion of all female students who would receive a grade of A on this test. Use a 99.5% confidence interval to estimate p to three decimal places.

All female students = 23

Female students that score an A = 6

p = (6/23) = 0.2608695652 = 0.261

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = (6/23) = 0.261

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 99.5% confidence interval for sample size of 23 is obtained from the t-tables since information on the population standard deviation is not known.

we first find the degree of freedom and the significance level.

Degree of freedom = df = n - 1 = 23 - 1 = 22.

Significance level for 99.5% confidence interval

(100% - 99.5%)/2 = 0.25% = 0.0025

t (0.0025, 22) = 3.119 (from the t-tables)

Standard error of the mean = σₓ = √[p(1-p)/N]

p = 0.261

N = sample size = 23

σₓ = √(0.261×0.739/23) = 0.091575

99.5% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.261 ± (3.119 × 0.091575)

CI = 0.261 ± 0.2856

99.5% CI = (-0.0246, 0.5466)

99.5% Confidence interval = (-0.025, 0.547)

= -0.025 < p < 0.547

Hope this Helps!!!

Answer:

Total amount to be paid back = $29971

Step-by-step explanation:

Formula used to calculate the final amount of the loan to be paid,

Total amount to be paid = [tex]P(1+\frac{r}{n})^{nt}[/tex]

Where P = Principal amount of loan taken

r = rate of interest

n = Number of compounding in a year

t = duration of investment

By substituting the values in the formula,

Total amount to be paid after loan maturity = [tex]18000(1+\frac{0.04}{1})^{13\times 1}[/tex]

= [tex]18000(1.04)^{13}[/tex]

= 18000(1.66507)

= $29971.32

≈ $29971

Total amount to be paid after loan maturity will be $29971.

Answer:

The distribution of scores would not have the same mean and standard deviation

Step-by-step explanation:

According to the given data we have the following:

mean=456

Standard deviation=100

mathematics SAT scores for high school seniors for a specific year have a mean of 456 and a standard deviation of 100 and are approximately normally distributed

Therefore, we can conclude that a subgroup of these high school seniors would not to be a perfect representation, hence, the distribution of scores would not have the same mean and standard deviation.

Answer:

The answer is option A

Step-by-step explanation:

sin ∅ = opposite / hypotenuse

Since we are finding sin (c)

From the question

The opposite is BA

The hypotenuse is AC

So we have

sin c = BA/ AC

BA = 5

AC = 13

sin c = 5/13

sin c = 0.384615

sin (c) = 0.38 to the nearest hundredth

Hope this helps you

Answer:

[tex]\boxed{Sin C = 0.38}[/tex]

Step-by-step explanation:

Sin C = opposite/hypotenuse

Where opposite = 5, hypotenuse = 13

Sin C = 5/13

Sin C = 0.38

Answer:

24

Step-by-step explanation:

If we have two square roots like [tex]\sqrt{36}\cdot\sqrt{16}[/tex], we could do this either of two ways.

1. Multiply 36 by 16 and find the square root of that

[tex]\sqrt{36\cdot16} = \sqrt{576} = 24[/tex]

2. Find the square root of both of them then multiply.

[tex]\sqrt{36} = 6, \sqrt{16} = 4, 6\cdot4 = 24[/tex]

Hope this helped!

Answer:

15

Step-by-step explanation:

Answer:

x = 25°

Step-by-step explanation:

From the picture attached,

Since AE║BC and AC is a transverse,

Therefore, ∠EAC ≅ ∠BCA [Alternate interior angles]

m∠EAC = m∠BCA = x°

∠BCD = ∠DCB + ∠DBC [Since ∠BCD is an exterior angle of ΔBDC]

m∠BCD = m∠DCB + m∠DBC

50° = x° + x°

2x = 50

x = 25°

Therefore, value of x is 25°.

Answer: 25 degrees

Step-by-step explanation:

Answer:

11.4

Step-by-step explanation:

You just need to divide this one.

727/64=11.3593

Answer:

11.4

Step-by-step explanation:

727/64=11.359375

We have to round to the nearest tenth so, it would be 11.4.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

2 11/12

Step-by-step explanation:

3/4 + 2 1/6

Add the fractions.

35/12

= 2 11/12

Answer:

[tex]2\frac{11}{12}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}+2\frac{1}{6}=\\\\\frac{18}{24}+2\frac{4}{24}=\\\\2\frac{22}{24}=\\\\2\frac{11}{12}[/tex]

Answer:

The answer is below

Step-by-step explanation:

Given that mean (μ) = 266 days, standard deviation (σ) = 16 days, sample size (n) = 16 women.

a) The mean of the sampling distribution of Xbar ([tex]\mu_x[/tex]) is given as:

[tex]\mu_x=\mu=266\ days[/tex]

The standard deviation of the sampling distribution of Xbar ([tex]\sigma_x[/tex]) is given as:

[tex]\sigma_x=\frac{\sigma}{\sqrt{n} } =\frac{16}{\sqrt{16} }=4[/tex]

b) The z score is a measure in statistics used to determine by how much the raw score is above or below the mean. It is given by:

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

For x > 270 days:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{270-266}{\frac{16}{\sqrt{4} } }=1[/tex]

The probability the average pregnancy length exceed 270 days = P(x > 270) = P(z > 1) = 1 - P(z < 1) = 1 - 0.8413 = 0.1587 = 15.87%

[tex]|\Omega|=2\cdot6\cdot52=624\\|A|=1\cdot3\cdot16=48\\\\P(A)=\dfrac{48}{624}=\dfrac{1}{13}[/tex]

Answer:

1/13

Step-by-step explanation:

Hey there! I'm happy to help!

If you reflect a point across the x-axis, you have (x,y)⇒(x,-y). If you reflect across the y-axis, you have (x,y)⇒(-x,y). A 180° rotation is the same thing as reflecting across both the x and y axes. This means that the rule for rotating the point with coordinates (x,y) 180° clockwise about the origin is D. (x,y)⇒      (-x,-y).

Have a wonderful day! :D

Answer:

down b3low

Step-by-step explanation:

The point where the two lines intersect is the only solution. An inconsistent system has no solution. Notice that the two lines are parallel and will never intersect. A dependent system has infinitely many solutions.

Answer:  x = ¹/₂ ± √⁸¹

                     ------------

                            2

Step-by-step explanation:

First write out the equation

x² - x - 20

Now we now write the equation by equating to 0

x² - x - 20 = 0

We now move 20 to the other side of the equation. So

x² - x    =  20,

We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes

x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²

x² - ( ¹/₂ )²       = 20 + ¹/₄

( x - ¹/₂ )²       = 20  + ¹/₄, we now resolve the right hand side expression into fraction

( x - ¹/₂ )²          =  ⁸¹/₄ when the LCM is made 4

Taking the square root of both side to remove the square,we now have

x - ¹/₂               =  √⁸¹/₄

x - ¹/₂               =     √⁸¹/₂

Therefore,

                    x = ¹/₂ ± √⁸¹

                          -----------

                               2

Answer:

my class is 8 th is I don't now this answer

Answer:

x^-1 y^½ z^-2

Answer: [tex]\dfrac{1}{12}[/tex]

Step-by-step explanation:

Given: Emily has a box with 4 different colored tiles: one red, one green, one blue and one yellow.

We assume that repetition is not allowed

Total number of ways to draw two tiles = [tex]^4P_2=\dfrac{4!}{(4-2)!}[/tex]  [By permuattaions]

[tex]=\dfrac{4\times3\times2}{2}=12[/tex]

Favourable outcome = First green then red  (only one way)

So, the probability of drawing the green before the red [tex]=\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]=\dfrac{1}{12}[/tex]

hence, the required probability =[tex]\dfrac{1}{12}[/tex]

Correct Question:

5 (u + 1) - 7  = 3 (u - 1) + 2u.

Solve for u

Answer:

See explanation below

Step-by-step explanation:

In this given question, we are required to find u.

Given the equation:

5 (u + 1) - 7 = 3 (u - 1) + 2u​

Required:

Solve for u

To find u, first simplify both sides individually.

Simply 5 (u + 1) - 7:

Expand the parenthesis:

5u + 5 - 7

Collect like terms:

5u - 2

Simplify 3 (u - 1) + 2u​:

Expand the parenthesis:

3u - 3 + 2u

Collect like terms:

3u + 2u - 3

5u - 3

Bring both simplified equations together:

5u - 2 = 5u - 3

5u - 5u - 2 = -3

-2 = -3

Since -2 ≠ -3, there is no solution.

Therefore, we can say the equation is invalid.

Answer:

Bigger size   / smaller size = 40

Step-by-step explanation:

Notice that we      

36 / (9/10)    =    30 / (3/4)   = 40

Therefore the proportion model would be

Bigger size   / smaller size = 40

Answer:  ($143.69, $156.31)

Step-by-step explanation:

Confidence interval to estimate  population mean :

[tex]\overline{x}\ \pm z\dfrac{\sigma}{\sqrt{n}}[/tex]

, where [tex]\sigma[/tex] = population standard deviation

n= sample size

[tex]\overline{x}=[/tex] Sample mean

z= critical value.

As per given,

n= 40

[tex]\sigma[/tex] = $15.50

[tex]\overline{x}=[/tex] $150

Critical value for 99% confidence level = 2.576

Then, 99% confidence interval for the population mean:

[tex]150\pm(2.576)\dfrac{15.50}{\sqrt{40}}\\\\\Rightarrow\ 150\pm6.31 \ \ (approx)\\\\\Rightarrow(150-6.31,150+6.31)=(143.69,156.31)[/tex]

Hence, the required confidence interval : ($143.69, $156.31)

Answer: He should reject the null hypothesis.

Step-by-step explanation: When using P-Values to decide if you accept or not the alternative hypothesis, compare the p-value with the chosen significance level (α).

In the Mayor's survey:

p-value = 0.04

α = 5% or 0.05

If the p-value is less than α, reject the null hypothesis and accept the alternative. If p-value is greater than or equals α, fail to reject the null hypothesis and don't accept the alternative.

Analysing the Mayor's survey:

p-value = 0.04 < α = 0.05

In conclusion, the Mayor should reject the null hypothesis and accept that the proportion of voters who are aged 18 to 20 is not equal to 10%, i.e., accept the alternative hypothesis: [tex]H_{a}[/tex]: p≠0.10

Answer:

[tex](-\frac{36}{7},\frac{40}{7})[/tex]

Step-by-step explanation:

Coordinates of points A and C are (-8, 6) and (2, 5).

If a point B intersects the segment AB in the ratio of 2 : 5

Then coordinates of the point B will be,

x = [tex]\frac{mx_2+nx_1}{m+n}[/tex]

and y = [tex]\frac{my_2+ny_1}{m+n}[/tex]

where [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of the extreme end of the segment and a point divides the segment in the ratio of m : n.

For the coordinates of point B,

x = [tex]\frac{2\times 2+(-8)\times 5}{2+5}[/tex]

  = [tex]-\frac{36}{7}[/tex]

y = [tex]\frac{2\times 5+5\times 6}{2+5}[/tex]

  = [tex]\frac{40}{7}[/tex]

Therefore, coordinates of pint B will be,

[tex](-\frac{36}{7},\frac{40}{7})[/tex]

Answer:

XY ≈ 14.87 units

Step-by-step explanation:

Calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = X(- 6, 3) and (x₂, y₂ ) = Y(8, - 2)

d = [tex]\sqrt{(8+6)^2+(-2-3)^2}[/tex]

   = [tex]\sqrt{14^2+(-5)^2}[/tex]

   = [tex]\sqrt{196+25}[/tex]

   = [tex]\sqrt{221}[/tex]

   ≈ 14.87 ( to 2 dec. places )

Answer:

(0, 4)

Step-by-step explanation:

3y - 2x = 12.

Check each one by substituting:

(0,4):

3(4) - 2(0) = 12  

 12 = 12.  -   so its this one.

The ordered pair (0, 4) is for the equation 3y - 2x = 12 and the ordered pairs (0, -4). (6, 2) does not satisfy the equation.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The equation:

3y - 2x = 12

Plug x = 0 and y = 4

3(4) - 2(0) = 12

12 = 12 (true)

SImilarly for checking the other ordered pairs.

Thus, the ordered pair (0, 4) is for the equation 3y - 2x = 12 and the ordered pairs (0, -4). (6, 2) does not satisfy the equation.

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Answer:

[tex]f(x)=((x-9)^2+16)x^2[/tex]

[tex]f(x)=x^4-18x^3+97x^2[/tex]

Step-by-step explanation:

If you want to, I could add the explanation as well. Just notify me.

Something really important I want to note is that since 9-4i is a zero, then 9+4i must must also be a zero.

Answer: A

Step-by-step explanation:

The required transformation is Shift left by 3 units, stretch vertically by a factor 2 and then shift upward by 4 units. Hence option B is correct.

The graph is a demonstration of curves  which gives the relationship between x and y axis.

Since, both curve of x² and 2x² - 12x + 22  is in the graph.
Now, the steps of transformation of x² into 2x² - 12x + 22 is as follows.
1) Shift left by 3 units.
2) Stretch vertically by a factor 2.
3) Shift upward by 4 units

Thus, the required result will be seen graph.

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