Mike and Teegan each measured the volume of the 16-ounce bottle three times. They recorded their measurements as shown.

A newspaper reported the results of a survey on the planning habits of men and women. In response to the question "What is your

Troyanec [42]

Answer:

H₀: p₁ - p₂ = 0

H₁: p₁ - p₂ > 0

Step-by-step explanation:

A null hypothesis is a hypothesis that says that there's no statistical relation between the variables/data.

On the other hand, and alternative hypothesis says that there is a statistical relation between the variables. And this hypothesis is what the researcher wants to prove.

The null and alternative hypotheses are mutually exclusive.

In the present problem, what needs to be tested is <u>whether the percentage of men who prefer keeping track of appointments in their head p₁ is larger than the percentage of women p₂.</u>

Our null hypothesis would be the one that states that there's no statistical relation between p₁ and p₂. In other words, the percentage of men who prefer keeping track in their head is not larger than women's percent. Therefore

H₀: p₁ - p₂ = 0

Our alternative hypothesis would indicate that there is a statistical relation between the variables. Since t<u>he researcher wants to prove that a larger percentage of men keep track of appointments in their head</u> in comparison with women, this would be that p₁ is in fact larger than p₂

H₁: p₁ - p₂ > 0

7 0

3 years ago

Satellite

sammy [17]

The first missing quantity is force due to gravity, and it is 215.1 N.

The second missing quantity is distance between the statellite and the Earth, determined as 6,000 km.

<h3>Force between two masses</h3>

The force between two masses is determined by applying Newton's law of universal gravitation as shown below;

$F = \frac{GMm}{R^2}$

where;

M is mass of Earth = 5.97 x 10²⁴ kg
m is mass of the satellite
R is the distance between the satellite and the Earth
G is universal gravitation constant

<h3>First missing quantity</h3>

The first missing quantity is force due to gravity, and it is calculated as follows;

$F = \frac{(6.67 \times 10^{-11} ) \times (5.97 \times 10^{24}) \times (700)}{(36,000 \times 10^3)^2} \\\\F = 215.1 \ N$

<h3>Second missing quantity</h3>

The second missing quantity is distance between the statellite and the Earth,

$R^2 = \frac{GMm}{F} \\\\R^2 = \frac{(6.67 \times 10^{-11})(5.97 \times 10^{24})(1000)}{11,000} \\\\R^2 = 3.62 \times 10^{13}\\\\R = 6,000 \ km$

Learn more about Newton's law here: brainly.com/question/3999427

6 0

2 years ago

Alex has built a garden shed in the shape shown.

AnnyKZ [126]

Answer:

A) 22 cans required to paint

B) Including 13% tax, cost of painting = $633.93

Step-by-step explanation:

As we check the figure, we have a composite figure.

Cuboid on the base and a pyramid on the top of it.

To find the area to be painted, we have 4 rectangular faces of cuboid with dimensions 6m $\times$ 3m.

And 4 triangular faces of pyramid with Base = 6m and Height 5m.

So, total area to be painted = 4 rectangular faces + 4 triangular faces

Area of rectangle = Length $\times$ Width = 6 $\times$ 3 = 18 $m^2$

Area of triangle = $\frac{1}{2}\times Base \times Height =\frac{1}{2}\times 6 \times 5 = 15\ m^{2}$

Total area to be painted = 4 \times 18 + 4 \times 15 = 72 + 60 = 132 $m^2$

A) Area painted by 1 can = 6 $m^2$

Cans required to paint 132 $m^2$ = $\frac{132}{6} = 22\ cans$

B)

Cost of 1 can = $25.50

Cost of 22 can = $25.50 $\times$ 22 = $561

Including tax of 13% = $561 + $561 $\times \frac{13}{100}$ = $561 + $72.93 = <em>$633.93</em>

So, the answers are:

A) <em>22 cans </em>required to paint

B) Including 13% tax, cost of painting =<em> $633.93</em>

6 0

3 years ago

Please solve this question

eimsori [14]

C is the only one that 3/4 of the shapes are not shaded.

8 0

2 years ago

Read 2 more answers

Se x e um número real tal que 3x +1/2 > 2x - 5, então podemos afirmar que;

Crazy boy [7]

Step-by-step explanation:

$3x + \frac{1}{2} > 2x - 5 \\ x > - 5 \frac{1}{5}$

7 0

3 years ago