A gym knows that each member, on average, spends 70 minutes at the gym per week, with a standard deviation of 20 minutes. Assume the amount of time each customer spends at the gym is normally distributed. Suppose the gym surveys a random sample of 49 members about the amount of time they spend at the gym each week. What are the expected value and standard deviation (standard error) of the sample mean of the time spent at the gym

Answer:

The answer is 1 1/2 < 2

Step-by-step explanation:

If we convert 1/2 into a decimal, we would get .5. Add that to 1 and we get 1.5. Therfore, 2 > 1.5

Answer:

A: 30

B: y=30x+14

Step-by-step explanation:

A

The rate of change, or slope, can be found from any two points (x1,y1) and (x2,y2), using the formula (y2-y1)/(x2-x1).

Let's use the points (0,14) and (2.2,80):

slope = (y2-y1)/(x2-x1)

= (80-14)/(2.2-0)

= 66/2.2

= 30

B

The slope-intercept form of a linear equation is y=mx+c, where x and y are any co-ordinates on the line, m is the slope and c is the y-intercept. Since we already know our slope (30), we can just plug this and some point on the line (eg (0,14)) into the equation to find c:

y=mx+c

14=(30)(0)+c

14=0+c

c=14

Therefore our equation is y=30x+14

Answer:

24.4

Step-by-step explanation:

just did it delta

Answer:

Kindly check explanation

Step-by-step explanation:

H0 : μ = 5500

H1 : μ > 5500

The test statistic assume normal distribution :

Test statistic :

(Xbar - μ) ÷ s/sqrt(n)

(5625.1 - 5500) ÷ 226.1/sqrt(15) = 2.1429 = 2.143

Pvalue from test statistic :

The Pvalue obtained using the calculator at df = 15 - 1 = 14 is 0.025083

α = 0.05

Since ;

Pvalue < α

0.025083 < 0.05 ; Reject H0

The confidence interval :

Xbar ± Tcritical * s/sqrt(n)

Tcritical at 95% = 1.761 ;

margin of error = 1.761 * 226.1/sqrt(15) = 102.805

Lower boundary : (5625.1 - 102.805) = 5522.295

(5522.295 ; ∞)

The hypothesized mean does not occur within the constructed confidence boundary. HENCE, there is significant eveidbce to support the claim that the true mean life of a biomedical device is greater than 5500

Answer:

5

Step-by-step explanation:

90% of 50 is 45.

So 50-45

5

Hope this helps

Answer:

C) (-3,-1)

Step-by-step explanation:

C) (-3,-1)

He is expected to win about 30 times. 1/4 times 120

Answer:

6

Step-by-step explanation:

a =8

x = -10

(-3)(a +x)

(-3)(8 - 10)

(-3)(-2)

6

Answer:

Step-by-step explanation:

The length of AC should be between 5 inches and 25 inches

Jose in this problem draws a triangle, ABC.

We know the length of two sides of the triangle:

AB = 10 inches

BC = 15 inches

The length of the third side in a generic triangle can be calculated using the cosine theorem:  

where

a, b, c are the three sides

is the angle opposite to side  

Looking at the formula, we observe that:

- The maximum value for  is obtained for , so that . In this case, the length of the missing side  (AC, in this case) is

- The minimum value for  is obtained for , for which , so in this case the length of AC is

So, the length of AC must be between 5 and 25 inches.

-Random Brainly user

Answer:

10 inches and yes

Step-by-step explanation:

if you start with A then draw a line to B which is 10 inches, then you draw to C 15 inches. to finish the triangle would be A to C which would be the same thenth as A to B. your only choice to finish the triangle is A to C. left and right side of the triangle would be the same. bottom of the triangle is 15, B to C

2x = 74

x = 74 ÷ 2

x = 37

that's all

Answer:

x = 37

Step-by-step explanation:

x2 = 74

74 ÷ 2 = 37

therefore the answer is x = 37

Answer:

7.44 × 10⁹

Step-by-step explanation:

You would take a decimal point from the last zero to in-between 7 and 4 and see how many places you moved it then write the scientific formula.

9 spaces so it would be 7.44 × 10⁹

The scientific notation of the current population of the Earth will be;

⇒ 7.44 × 10⁹

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The current population of the Earth is estimated to be about 7,440,000,000 people.

Now,

Since, The current population of the Earth = 7,440,000,000 people

Hence, The scientific notation of the current population of the Earth is written as;

⇒ 7,440,000,000

⇒ 7.44 × 10⁹

Thus, scientific notation of the current population of the Earth is,

⇒ 7.44 × 10⁹

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Answer:

path width = 3 m

Step-by-step explanation:

let x = the width of the path

(12 + 2x)(26 + 2x) = 576

312 + 24x + 52x + 4x² = 576

4x² + 76x - 264 = 0

divide both sides of the equation by 4:

x² + 19x - 66 = 0

(x + 22)(x - 3)= 0

x = 3 m

Answer:

x=13.5

Step-by-step explanation:

4.5/6=x/18

cross multiply

6x=18(4.5)

6x=81

x=81/6

x=13.5

Answer:

$86.75 i think

Step-by-step explanation:

Answer: The Y-intercept would be positive 3, and your slope would be for every single risen coordinate on the Y axis, you move on the X-axis by 4.

Hi there!

[tex]\large\boxed{x = 40}[/tex]

We can solve for x knowing that the sum of interior angles in a triangle is 180°.

The square at the bottom indicates a right angle, or 90°. Therefore:

180 = 90 + x + (x + 10)

Combine like terms:

180 = 100 + 2x

Subtract 100 from both sides:

180 - 100 = 2x

80 = 2x

Divide both sides by 2:

x = 40.

Answer:

hi

Step-by-step explanation:

x+90⁰+x+10=180

x+x+10=180-90

2x+10=90

2x=90-10

2x=80

x=80/2

x=40

have a nice day

Answer:

u  16

Step-by-step explanation:

Answer:

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Answer:

0.07830342577 is the correct answer.

Step-by-step explanation:

Hope this helped Mark BRAINLIEST!!!

Answer:

0.07830343

Step-by-step explanation:

Answer:

Area of the parallelogram =base×height

area of parallelogram =3cm×2cm

area of parallelogram = 6cm²

The area of parallelogram is 6 square units.

A parallelogram is a quadrilateral whose opposite sides are parallel and equal in length. The opposite angles of a parallelogram are equal. The diagonals of a parallelogram bisect each other.

For the given situation,

The base of the parallelogram,b = 3 cm

The height of the parallelogram,h = 2 cm

The formula of area of parallelogram is

[tex]A=bh[/tex]

⇒ [tex]A=(3)(2)[/tex]

⇒ [tex]A=6[/tex]

Hence we can conclude that the area of parallelogram is 6 square units.

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Answer:

a= 16

b= -8

c= 6

d= -16

e= -4

Step-by-step explanation:

Answer:

Step-by-step explanation:

A= 16 degrees

B= -8 degrees

C= 6 degrees

D= -16 degrees

E= -4 degrees

It's B because 2 equals 86 dgrees since its vertical angles

Answer:

x=3

Explanation

2x+1=7

Step 1: Subtract 1 from both sides.

2x+1−1=7−1

2x=6

Step 2: Divide both sides by 2.

2x/2  =  6/2

x=3

plz mark me as brainliest

Answer:f

Step-by-step explanation:d

Answer:$3,661.24.

Step-by-step explanation: