Dana and Steven read the same book with 60 pages. Dana read 1/4 of the book in 3/10 hour. Steven read 1/5 of the book in 1/6 hour. Which statement is true?

Answer:

Step-by-step explanation:

Given that:

Sample Mean [tex]\overline x[/tex] = 82.25

The Standard deviation of the population [tex]\sigma[/tex] = 30.00

The Sample size = 100,000

The margin of error M.O.E = 0.186

At a 95% confidence interval level;

[tex]=\overline x - M.O.E < \mu < \overline x + M.O.E[/tex]

= 82.25 - 0.186 < [tex]\mu[/tex] < 82.25 +  0.186

= 82.064 < [tex]\mu[/tex] < 82.436

= (82.064 , 82.436)

The 95% confidence interval of the population mean = (82.064 , 82.436)

Before we can determine the sampling error, we need to find the standard error of the mean.

The standard error of the mean is:

[tex]\mu_ {\bar x} = \mu = 82.25[/tex]

[tex]\sigma_{\bar x} = \dfrac{\sigma}{\sqrt{n}}[/tex]

[tex]\sigma_{\bar x} = \dfrac{30}{\sqrt{100000}}[/tex]

[tex]\sigma_{\bar x} = \dfrac{30}{316.23}[/tex]

[tex]\sigma_{\bar x} = 0.096[/tex]

At 95% confidence interval, the level of significance = 1 - 0.95 = 0.05

[tex]Z_{0.05/2} = Z_{0.025}[/tex] = 1.96

Now, the sampling error can be determined by using the formula:

[tex]=Z_{\alpha/2} \times \sigma _{\overline x}[/tex]

[tex]=Z_{0.025} \times \sigma _{\overline x}[/tex]

= 1.96 × 0.096

= 0.18816

Answer:

Step-by-step explanation:

y=2x+2

Answer:

174.9625

Step-by-step explanation:

Multiply the cost by 0.05

Answer:

Step-by-step explanation:

y=

4

5

x

Answer:

9,556

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

[tex]\frac{3}{5}[/tex] (Decimal: 0.6)

Step-by-step explanation:

[tex]\frac{3\sqrt{7} }{5\sqrt{7} }[/tex]

Cancel the common factor: √7

= [tex]\frac{3}{5}[/tex]

Answer:

Quartic

Step-by-step explanation:

Given

[tex]h(x) = 4x^4 + 2x - 5[/tex]

Required

Name the polynomial

The question required that the polynomial be named based on its degree.

This implies that, we name the polynomial based on the highest power of x

Highest power of x = 4

When the highest power of x in a polynomial is 4, such polynomial is a quartic polynomial.

Hence, by degree; the polynomial is quartic

Answer:

A. 14

Step-by-step explanation:

Answer:

The counter in the drawing is 8 in. wide.

Step-by-step explanation:

Answer: In a week you can travel 941 miles

Step-by-step explanation:

$240+0.15m=$381

Subtract $240 on both sides:

$240-$240+0.15m=$381-$240

0.15m=$141

Divide 0.15 on both sides:

0.15m/0.15=141/0.15

m=941 miles

Answer:

-3

Step-by-step explanation:

1.5x + 1.3x = -8.4

2.8x = -8.4

x=-3

As per the provided question, we have to find the value of x. So, we can easily find the value of x by transposition method.

[tex] \sf \red { 1.5x + 1.3x = -8.4 } [/tex]

[tex] \sf {\implies 2.8x = -8.4 } [/tex]

[tex] \sf {\implies x =\dfrac{ -8.4 }{2.8}} [/tex]

[tex] \sf {\implies x =\dfrac{ -84 \times \cancel{10} }{28 \times \cancel{10}}} [/tex]

[tex] \sf {\implies x =\dfrac{ -84 }{28}} [/tex]

[tex] \sf {\implies x = -3} [/tex] [tex] \purple {\bigstar} [/tex]

Just substitute the value of x in L.H.S .

[tex] \sf \red { 1.5x + 1.3x = -8.4 } [/tex]

Therefore

[tex] \sf {\implies 1.5(-3) + 1.3(-3)= -8.4 } [/tex]

[tex] \sf {\implies -4.5+ (-3.9)= -8.4 } [/tex]

[tex] \sf {\implies -4.5-3.9= -8.4 } [/tex]

[tex] \sf \purple {\implies -8.4= -8.4 } [/tex]

[tex] \sf {\therefore L.H.S= R.H.S } [/tex]

Answer:

249.22

Step-by-step explanation:

Answer:

3750, 8888.89, 1920

Step-by-step explanation:

p=m/v

p1=240/(0.04^3)= 3750 kg/m^3

p2=240/(0.03^3)= 8888.89 kg/m^3

p3=240/(0.05^3)= 1920 kg/m^3

Answer:

3750, 8888.89, 1920

Hope this helped!

2 1/2 +3

pretend that there is a denominator for 3 which is 1

2 1/2 +3/1

find the common denominator for 3/1 which is 2

multiply by 2 for 3/1

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

2 1/2 +6/2

make 2 1/2 into a fraction

multiply 2*2  first

2*2=4

add 4 with the numerator

4+1=5

2 1/2=5/2

5/2+6/2

=11/2

= 5 1/2

answer: 11/2 or 5 1/2

Answer:

1. The hare sprinted the farthest.

2.

First place: Antelope: (1.6093 kilometers)

Second place: Cougar (1.2875 kilometers)

Third place: Hare (1.2607 kilometers)

Fourth Place: Ostrich and Coyote (1.15 kilometers)

Fifth Place: Kangaroo (1.073 kilometers)

Step-by-step explanation:

Just convert them all into kilometers.

Answer:

The correct answer is C. 6 1/6 gallons.

Step-by-step explanation:

Hope that helps you and please give me brianliest!! I only need one more brainliest to rank as an Expert...

Answer:

c

Step-by-step explanation:

2 2

3

+

3 1

2

=  (2 + 3) + (

2

3

+

1

2

)

=  5 +

2 × 2

3 × 2

+

1 × 3

2 × 3

=  5 +

4

6

+

3

6

=  5 +

4 + 3

6

=  5 +

7

6

=  5 +

1 1

6

=  

6 1

6

Answer:

lines 2 and 4 are perpendicular

Step-by-step explanation:

if the slopes of two lines are opposed reciprocals, they are perpendicular. in this case the slope of line 2 is -1/2 and the slope of line 4 is 2 after you solve for y=mx+b form

Answer:

(32,16)

Step-by-step explanation:

When you dilate a coordinate by a factor say a, the coordinate of the image are multiplied by this factor to get the coordinate of the pre-image. For example, if the coordinate of the image is (x,y) dilated by a factor of "a", the coordinate of the pre-image will be (ax, ay)

Given the coordinate (16, 8) the coordinate of the pre image of dilated by a factor of 2 is given as;

(2×16, 2×8) = (32, 16)

Hence the coordinates for the pre-image Q is (32,16)

Answer:

x > -4

Step-by-step explanation:

I hope this helps!

Answer:

the answer is -0.7

Step-by-step explanation:

first you multiply 2 ×-5 that will give you negative 10 then you divide 7 ÷ -10 and you get -0.7

Answer:

57/60-52/60

Step-by-step explanation:

First you have to make the denominator the same to subtract. By find out what number they have in common. And the number was 60.  15x4=60  and 20x3=60. And whatever you do to the bottom you do for the top 19x3= 57. 13x4=52. So the form would be 57/60-52/60. Once you find the form then you subtract 57-52=5 and when you minus the denominator it stays the same. so the ANSWER would be 5/60.

Answer:

C)

Step-by-step explanation:

Sides:

WX = FE

XY = EY

WY = FY

Angles:

∠W = ∠F

∠X = ∠E

∠Y = ∠Y

Answer:

a= x-f

b=y-b

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

200 detective phones.

Step-by-step explanation:

Write the proportion where x is the number of detective phones.

cross multiply

divide both sides by 60

Answer:

it will be 12f

Step-by-step explanation:

since you told the wrong question

Answer:

60%

Step-by-step explanation:

A percent is technically just a fraction over 100.

To get that here, we simply divide the part (which is 1560 people) by the whole (which is 2600 people) and then multiply that by 100:

(1560 / 2600) * 100 = 0.6 * 100 = 60/100

Thus, we know that the percent is 60%.

Answer:

The distance from vertex B to the midpoint of AC is 3.

Step-by-step explanation:

From Linear Algebra we understand that location of the midpoint of AC is determined by the following formula:

[tex]M(x,y) = \frac{1}{2}\cdot A(x,y) + \frac{1}{2}\cdot C(x,y)[/tex] (1)

Where:

[tex]A(x,y)[/tex], [tex]C(x,y)[/tex] - Locations of vertices A and C regarding origin, dimensionless.

[tex]M(x,y)[/tex] - Location of the midpoint regarding origin, dimensionless.

If we know that [tex]A(x,y) = (1,-3)[/tex] and [tex]C(x,y) = (5,-3)[/tex], then the midpoint of AC is:

[tex]M(x,y) = \frac{1}{2}\cdot (1,-3)+\frac{1}{2}\cdot (5,-3)[/tex]

[tex]M(x,y) = \left(\frac{1}{2},-\frac{3}{2} \right)+\left(\frac{5}{2}, -\frac{3}{2} \right)[/tex]

[tex]M(x,y) = (3, -3)[/tex]

Lastly, the distance from vertex B to the midpoint of AC is calculated from the Pythagorean Theorem:

[tex]d = \sqrt{(M_{x}-B_{x})^{2}+(M_{y}-B_{y})^{2}}[/tex] (2)

If we know that [tex]M_{x} = 3[/tex], [tex]M_{y} = -3[/tex], [tex]B_{x} = 3[/tex] and [tex]B_{y} = 0[/tex], then the distance is:

[tex]d = \sqrt{(3-3)^{2}+(-3-0)^{2}}[/tex]

[tex]d = 3[/tex]

The distance from vertex B to the midpoint of AC is 3.