If z is a standard normal random variable and A is a positive number, then P(z<−A)=P(z>A)

True or False?

Answer:

s = 41

Step-by-step explanation:

[tex]s - 10 = 31[/tex]

[tex]=> s - 10 + 10 = 31 + 10[/tex]

[tex]=> s = 41[/tex]

Answer:

The 90% confidence interval for the mean difference in pulse rates for the population of study participants is between -2.9 beats per minute and 0.5 beats per minute.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.8331

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.8331\frac{2.97}{\sqrt{10}} = 1.7[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is -1.2 - 1.7 = -2.9 beats per minute

The upper end of the interval is the sample mean added to M. So it is -1.2 + 1.7 = 0.5 beats per minute.

The 90% confidence interval for the mean difference in pulse rates for the population of study participants is between -2.9 beats per minute and 0.5 beats per minute.

Answer:

The surface area is 23

Step-by-step explanation:

Good Luck!

Answer:

A=2(wl+hl+hw)=2·(8·10+5·10+5·8)=340

Step-by-step explanation:

Answer:

1 real soultion

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

The number of students that liked one more than the other or didn't like either is 15 + 18 + 5, which is 38. The rest of the students in the class liked both subjects. 55 - 38 = 17.

Answer:

Last option is the correct answer

[tex] y=\frac{72}{x} [/tex]

Step-by-step explanation:

When x = 36

[tex] \implies y=\frac{72}{36} = 2[/tex]

When x = 18

[tex] \implies y=\frac{72}{18} = 4[/tex]

When x = 8

[tex] \implies y=\frac{72}{8} = 9[/tex]

When x = 6

[tex] \implies y=\frac{72}{6} = 12[/tex]

Answer:

skipping by 3's

Step-by-step explanation:

Answer:

first term +1

second term +2

+1

+2

+1

+2

and so on

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The angle yo measures 40º.

Step-by-step explanation:

Given that the sum of yo and 50 ° is a right angle, to find the value of yo the following calculation must be performed, knowing that a right angle measures 90 °:

50 + yo = 90

yo = 90 - 50

yo = 40

Therefore, the angle yo measures 40º.

Answer:

93/100

Step-by-step explanation:

Answer:

93/100

Step-by-step explanation:

Answer: Here are two possible expressions for the total cost for Hazar and his friends:

The first expression is to add the cost of game rental and drinks and snacks for all the four friends

6x + 4x =10x where x is the number of friends

Second expression is to calculate the cost for each of the 4 friends and then add it together

(6 + 4) * 4 = 40

Both the expressions represent the same outcome, that is the total cost of $40 for Hazar and his friends to play video games.

It's depend on how you want to represent it, both are correct and represents the same outcome.

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to solve graphically the system of inequalities expressing that Rashaad has no less than a total of 18 dimes (x) and nickels (y) with a combined value of at most $1.50, of which at least 4 are dimes.

An inequality can be written for each of the constraints:

  x + y ≥ 18 . . . . . . . no less than 18 coins

  0.10x +0.05y ≤ 1.50 . . . . . . at most $1.50 in value

  x ≥ 4 . . . . . . . . . . at least 4 dimes

A graph of these inequalities is attached. The marked points are the vertices of the triangular solution space. Each is a possible solution, along with all of the grid points inside the triangle.

One possible solution is 4 dimes and 22 nickels, for a total of 26 coins with a value of $1.50.

Using graph to solve the system of linear inequality the most likely solutions will be 4 dimes and 22 nickels, for a total of 26 coins with a value of $1.50

Systems of linear inequalities are equations with two or more linear inequalities that contain two or more variables. These equations can be used to represent real-world problems and to find the solutions of such problems. The solutions of a system of linear inequalities are all the points that are common to all of the linear inequalities in the system.

In this problem, we have to define our variables and then solve this using graphical method. The point of intersection between the two lines lies the solution to the linear inequality.

Let;

x + y ≥ 18

0.1x + 0.05y ≤ 1.50

x ≥4

Using a graphing calculator to solve this,

The possible solutions is 4 dimes and 22 nickels, for a total of 26 coins with a value of $1.50.

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Answer:

B is the answer- positive y and negative x

The monthly amortization on the automobile loan, given the loan amount, the period, and the compounding frequency, is ₱ 18, 901.68

The monthly amortization is constant so it will be an annuity. Seeing as we have the loan amount, this means that the present value of an annuity formula can be used to find the monthly amortization.

First, find the period in months:

= 5 x 12 months a year

= 60 months

The interest in months :

= 9 . 5 % / 12 months per year

= 9.5 / 12 %

The monthly amortization is:

= Loan amount / ( Present value interest factor of annuity, 60 periods, 9.5 / 12 %)

= 900, 000 / 47.614827336156

= ₱ 18, 901.68

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Answer:

11

Step-by-step explanation:

1

1 + 2 = 3

3 + 2 = 5

5 + 2 = 7

7 + 2 = 9

9 + 2 = 11

Answer:

C.Expression A is 4 times as great as expression B.

Step-by-step explanation:

Given - Without doing any calculations, compare Expression A to Expression B.

A. (34+25) ÷ 1/4

B. 34+25

To find - Which statement is true?

A. Expression A is 2 times as great as expression B.

B.Expression B is 4 times as great as expression A.

C.Expression A is 4 times as great as expression B.

D. The two expressions are equal to each other.

Solution -

The correct answer is - C. Expression A is 4 times as great as expression B.

Reason -

Given that ,

Expression A is -

( 34 + 25 ) ÷ 1 /4

It can also write it as -

4(34 + 25)

And

Expression B given as -

34 + 25

So,

We can clearly see that,

Expression A is 4 times Expression B.

So,

Option C is correct.

To calculate the distance between two points:

We apply the following formula:

d = √(x₂ - x₁)² + (y₂ - y₁)²

The points are:

We substitute data and solve:

[tex]\bf{d=\sqrt{(6-(-3))^2+(-8-8(-8))^2 } }\\ \\ \bf{ d=\sqrt{9^2+0^2}=\sqrt{81+0} }\\ \\ \bf{d=\sqrt{81}=9 }[/tex]

The distance between the points (−3,− 8), (6, – 8) is 9.

Answer:

The probability of white marble is 2/ 7

The probability of blue marble = 3/7

Step-by-steThe prop explanation:

Answer:

29.033333

Step-by-step explanation:

Answer: -1342.966 repeating

Step-by-step explanation: Pemdas≈7^3(8)/6-1800.3=(343)(4)/(3)-1800.3=457.333-1800.3=1342.96

Answer:

13. 3.5

14. 21.5

Step-by-step explanation:

For each one, divide the real size by what 1 unit measures. For the first question, the real size is 10.5 and 1 unit (in this case an inch) represents 3 feet. So do 10.5/3 to get the number of inches uses to represent the total width. 10.5/3 = 3.5

For the second one, the real size is 186 meters. And 1 unit (this time it's a centimeter) represents 4 meters. So do 186/4 and you get 21.5, which is the number of centimeters used to represent the total height.

Answer:

G

Step-by-step explanation:

Plug X into the inequality.

(5) - 2 < 7 is true

Hope this helps! :)

Answer: G) x-2<7

Step-by-step explanation:

x=5

5-2<7

3<7

three is less than 7.

Answer:

1. A simple cashier working at a supermarket

2. Doctors/medical professionals

Step-by-step explanation:

Although usually simple the cashiers must be able to do basic math to be able to give the correct amount of change to the customer

Medical professionals are constantly converting measurements in the workplace needing math to help with their cases

Answer:

1. Doctors regularly analyze numbers, make computations and employ statistics or to find the success rate of treatments. Math skills also are important when analyzing X-rays and CAT scans.

2. Electrical engineers use math in many ways in their career. They use math to help design and test electrical equipment. They use math to calculate amp and volt requirements for electrical projects. They use math in creating computer simulations and designs for new products.

Step-by-step explanation:

And math teaches other important practices, including how to approach tasks methodically, pay attention to detail, and think abstractly. Science, technology, and engineering disciplines, for example, rely heavily on mathematics.

Answer:

f(x)  =  x² + 6      for x  <  3

and

f(x)  = -x +  6      for x  ≥  3

Step-by-step explanation:

you have to break it up into two separate parts

for x less than 3 is a parabola x²  where y = 6 when x = 0

f(x)  =  x² + 6      for x   < 3

and

for x ≥ 3 the function is a line    two points (3, 3) and (0, 6)

the slope m = (3 - 6) / (3 - 1)   =  -1

y intercept = 6  when x = 0

f(x)  = -x +  6      for x ≥ 3

slope-intercept form of an equation for the line perpendicular to y = -2x + 5 is

y = 1/2x -7

The straight line that makes 90 degrees angle with a given line is called the perpendicular to the first line. The indicator of a line perpendicular to other line is the slope that is negative reciprocal to each other.

we know the slope intercept form of an equation of line is y = mx + b

m is the slope of line and b is the y intercept.

given, equation of a line, y = -2x+5

the slope m = -2 and y intercept, b = 5

we need to write an equation in slope-intercept form that perpendicular to the above line and containing the point (8, -3)

The required line of equation will have a slope equal to the negative reciprocal of the given slope.

hence, the slope will be m = 1/2

the equation of straight line will be y = 1/2x + b

as the line passes through the points (8, -3)

so, -3 = 1/2 × 8 + b

   b = -7

y intercept of the new equation = -7

the new equation of line is y = 1/2x -7

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Answer: 113.0cm²

Step-by-step explanation:

The surface area if a square is calculated as:

= 4πr²

where, radius = 3cm

Surface area = 4πr²

= 4 × 3.14 × 3²

= 4 × 3.14 × 9

= 113.04

= 113.0cm²

Therefore, the surface area is 113.0cm²

Answer:

c

Step-by-step explanation:

Answer:

(y^3-2)(x^2-2)

Step-by-step explanation:

x^2y^3-2y^3 can be factored. This will be equal to y^3(x^2-2). Then for the other half it will be equal to -2(x^2-2). Because the insides are the same, the equation is the outside two number y^3 and -2 added together time the inside number x^2-2. This will make the expression (y^3-2)(x^2-2).

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I’m just tryna get up my bag yurt

Answer:

a) Then minimum sample size is  n = 12

b) We got  245 successes  

c)p-value is greater than 0,01 Therefore we accept H₀.

We can´t support our claim

Step-by-step explanation:

a) The minimum population size required to use the approximation of binomial distribution to normal distribution can be obtained from:

n*p > 5      p  = 0,45     0,45 * n  >  5     n > 11  

Then minimum sample size is  n = 12

b)  We got  245 successes  out of  n = 500

x =  245       p  =  245/500    p  = 0,49

q  =  1 - p     q  =  1  - 0,49    q  =  0,51

Test Hypothesis:

Null Hypothesis                        H₀      p  =  0,45

Alternative Hypothesis            Hₐ      p  > 0,45

Alternative Hypothesis indicates that the test is a one tail test to the right

z( s)  =   (  p  -  0,45  )  / √ p*q/n

z( s)  =   (  0,49 - 0,45 ) / √ 0,49*0,51 / 500

z( s)  =  0,04 /  0,0223

z(s)  =  1,793

p- value for  z = 1.79  is from z-table    p-value = 0,0367

Comparing p-value with the significance level  0,01 we see that

p-value is greater than 0,01 Therefore we accept H₀.

We can´t support our claim

Answer:

212×0.62=131.44 so Erica drove farther.

Answer:

The answer is Erica drove farther.

Step-by-step explanation:

212 kilometers is 131 miles and Erica drove 200 miles so Erica drove further.