Which point is located at the origin?

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Answer:

Since the calculated value z= -1.956 does not lie in the critical region z= ± 1.96  we conclude that  true average hourly wage of a server is not different than the claim of $12.

Step-by-step explanation:

The null and alternate hypotheses are

H0: u= 12 against the claim Ha: u≠ 12

Taking significance level alpha = 0.05

The critical region is z= ± 1.96 for two tailed test

The sample size = n= 30

The sample mean = 11

Sample standard deviation= 2.80

Applying z- test

Z= x-u/s/√n

z= 11-12/2.8/√30

z= -1/0.5112

z= -1.956

Since the calculated value z= -1.956 does not lie in the critical region z= ± 1.96  we conclude that  true average hourly wage of a server is not different than the claim of $12.

Answer:

97.5% of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The normal distribution is symmetric, which means that 50% of the values are below the mean and 50% are above.

In this problem, we have that:

Mean of 3300, standard deviation of 525.

What percent of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams?

2250 = 3300 - 2*525

2250 is 2 standard deviations below the mean.

Of the 50% of the weights below the mean, 95% are going to be greater than 2250(less than 2 standard deviations of the mean).

Of the 50% of the weights above the mean, 100% are going to be greater than 2250.

So

[tex]p = 0.5*0.95 + 0.5 = 0.975[/tex]

0.975*100% = 97.5%

97.5% of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams.

Answer:

[tex] \frac{ - r}{ - s} = t[/tex]

[tex] \frac{ - r}{s} = t[/tex]

[tex] \frac{r}{ - s} = - t[/tex]

Answer: 45500

Step-by-step explanation: 45.5*1000, 1 kg=1000g

Answer:

45500

Step-by-step explanation:

please comment on his

Answer:

Volume of the given pyramid is 68 mm³.

Step-by-step explanation:

Figure given in the picture is a pyramid.

And volume of a pyramid is given by the formula,

Volume = [tex]\frac{1}{3}(\text{Area of the base)(\text{Height})}[/tex]

Area of the base = 68 mm²

Height of the pyramid = 3 mm

Therefore, volume of the pyramid = [tex]\frac{1}{3}(68)(3)[/tex]

                                                         = 68 mm³

Volume of the given pyramid is 68 mm³.

Answer: 12.56 cm

Step-by-step explanation:

Pi looks like this π or 3.14 or 22/7

A formula for circumference is: C = 2π r

The radius or r listed in the diagram is 2cm.

1) Plug r into the equation...

C = 2π 2

2) Simplify the equation

C = 4π

3) You can insert 4π to be exact in a calculator or do 4 x 3.14 (its still the same thing but you have to round if you are using this π)

However both answers come out to be 12.56

Answer:

Regression model = y = 0.123X + 49.077

Influential point = US ; 487 ; 93.2

Slope with influential point present = 0.123

Slope without influential point = 0.342

Step-by-step explanation:

Given the data:

Gold value (X) :

63

146

203

33

147

36

50

62

487

Debt (Y) :

17.7

81.7

83.2

69.2

119

63.7

9.9

55

93.2

Using the online regression calculator :

The model obtained is :

y = 0.123X + 49.077

y = predicted variable ; debt

Slope = 0.123

x = predictor variable ; gold value

Intercept = 49.077

The influential observation :

US ; 487 ; 93.2

Dropping this observation from our data and fitting the model ;

Model without the influential point :

y = 0.342X+ 30.769

Slope with influential point present = 0.123

Slope without influential point = 0.342

[tex]\frac{245 g SO2 }{} \frac{1 mol SO2 }{64.07 g SO2} \frac{1 mol H2SO3}{1 mol SO2 } \frac{82.09 g H2SO3}{1 mol H2SO3} =314 g H2SO3[/tex]

Step-by-step explanation:

2) What mass of Sulfurous acid is produced, when 245g of Sulfur Dioxide is

reacted with water?  

H2O  +  SO2  →   H2SO3

               ↓                ↑  

              mol   →     mol

          SO2           H2SO3

\frac{245 g SO2 }{} \frac{1 mol SO2 }{64.07 g SO2} \frac{1 mol H2SO3}{1 mol SO2 } \frac{82.09 g H2SO3}{1 mol H2SO3} =314 g H2SO3

Answer:

volume

Step-by-step explanation:

Answer:

he went 0.2km south

Step-by-step explanation:

Answer:

He went 0.2km south.

Step-by-step explanation:

Your welcome!

9514 1404 393

Answer:

  (x, y) = (2, -1)

Step-by-step explanation:

A graphing calculator can find a solution quickly. (see attached)

__

The first equation can give an expression for y:

  y = 3x -7

We can substitute this into the second equation:

  2x +3(3x -7) = 1

  11x -21 = 1 . . . . . . simplify

  11x = 22 . . . . . . . add 21

  x = 2 . . . . . . . divide by 2

  y = 3(2) -7 = -1 . . . . using our equation for y

The solution is (x, y) = (2, -1).

Answer:

So there are alot of various properties that could be used to solve different kinds of algebraic expressions. To solve a simple algebraic equation, most of the times u need to know the, addition, subtractions properties as well as division and multiplication division property.

Hope this helps!

Answer:

600 000

Step-by-step explanation:

took the same test nav

Answer:

14.85

Step-by-step explanation:

Answer:

The correct answer is 2

Step-by-step explanation:

I already did this assignment. Its the upper quartile minus the lower quartile so it literally cannot be 14.85.

Answer:

x-9.

the expression that shows how many presents benjamin wrapped would be x-9

Answer:

The length of a rectangle is 2 feet more than it's width. How do you find the dimensions of the rectangle if its area is 63 square feet?

Step-by-step explanation:

x(x+2) = 63

x^2 + 2x = 63

x^2 + 2x - 63 = 0

Quadratic formula with numbers plugged in: (-2 +or- sqrt(4 - 4* 1 * -63))/2 becomes

-2 +or- sqrt(256)/2 so (-2 +or- 16)/2 therefore -18/2 or 14/2. Discard negative result.

x = 7. 63/7=9. Sides are 7ft and 9ft.

Answer:

Step-by-step explanation:

Given

Substitute l and solve the following for w:

The width is 8 ft

Answer:

25

Step-by-step explanation:

2(13)-1=25

Answer:

25

Step-by-step explanation:

Using the equation given, 2x-1, you can plug in x, which is given in the table, and solve.

13 is given for x so you plug 13 into 2x-1;

you can then check your answer to make sure you did it correctly by plugging in another x number (such as 4) and checking to see if you get the same number as the one given.

Answer:

15 ft by 35 ft

Step-by-step explanation:

15 + 15 + 35 +35

=100 ft

Answer:

Perimeter = 2 × (length + width) -------(1)

Let width be w

Given length is 20ft longer than width, L = 20 + w

substitute L and w in (1)

perimeter = 2× ( 20 + w + w)

100 = 2 ×(20 + 2w)

50 = 20 + 2w

30 = 2w

w= 15feet

L = 20 + w = 20 + 15 = 35feet

option 1)  15 ft by 35ft

Answer:

If you mean multiply by three when you say “three times”, then 3.

If you mean 1 to the third power when you say “three times”, then 1.

Step-by-step explanation:

1 x 1 x 1 x 1=1 is 1 to the fourth power.

If you mean multiply by three when you say “three times”, then 1x3=3.

If you mean 1 to the third power when you say “three times”, then 1x1x1=1.

Answer:

5.95%

Step-by-step explanation:

Bond 1:

I = 250(.05)5

I = $62.50

Bond 2:

62.5 = 350(3)r

62.5 = 1050r

r = 62.5/1050

r = 5.95%

Answer:

5.95%

Step-by-step explanation:

Answer:

Solution given;

The space occupied by a wooden block is 4cm × 2cm × 2cm=_16__cm 3 Which is equivalent to____16___mililiters

Step-by-step explanation:

we have

1cm³=1millilitre.

Answer:

si

Step-by-step explanation:

si