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sleet_krkn [62]

2 years ago

12

A Stegosaurus eats six and two fifths big leaves for breakfast and three and one fifth big leaves for lunch. How many leaves did

the Stegosaurus eat in all?

2 answers:

Mkey [24]2 years ago

7 0

Answer:

9 and 3/5

Step-by-step explanation:

Nine and Three Fifths

kow [346]2 years ago

3 0

The answer is 9 3/5.

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In 1990, 1000 adults were randomly selected and each was asked if they smoked, 300

Oduvanchick [21]

Answer:

The proportion of smokers was higher in 1990 than in 2000

Step-by-step explanation:

Solution

Recall that,

The total number of sample 1 (n1) = 1000

Total sample 2 number (n2) = 2000

The number of favourable events (X1) = 300

The number of favourable events (X2) = 500

so,

p₁ = X₁/n₁ = 300/1000 = 0.3

p₂ = X₂/n₂ =500/2000 =0.25

α = 0.05

We are interested in testing the hypothesis.

The hypothesis (Null) ....> H₀ : p₁ = p₂

Alternate hypothesis------ > H₁ : p₁ > p₂

Thus,

P = X₁ + X₂/ n₁ + n₂

P =300 + 500/1000 +2000

P =800/3000

=0.2667

Now,

Z₀ = P₁ - P₂/√ P (1 -P) (1/n₁ + 1/n₂)

Z₀ = 0.3 - 0.25/√0.2667 (1 - 0.2667) (1/1000 + 1/2000)

Z₀ = 0.4999999999999999/√ 0.2667 (0.7333000000000001) (0.001 +0.0005)

Then,

Z₀ = 0.4999999999999999/√0.00029335666500000004

Z₀ = 2.9193

so,

zα/2 = z0.05/2 =z0.025

zα/2 = 1.6448536269514722

Now, we apply the decision rule:

Decision Rule: Reject the null hypothesis if the statistic value test is higher than the critical value 1.6448536269514722

The statistic value, 2.9193 is greater than the critical value 1.6448536269514722, then we will reject the null hypothesis.

Therefore, the proportion of smokers was higher in 1990 than in 2000

3 0

2 years ago

Corn costs 99 cents per pound, and beans cost 45 cents per pound. If Shea buys 24 total pounds of corn and beans, and it costs $

viva [34]

Shea bought 13.5 pounds of corn

c = pounds of corn
b = pounds of beans

Here’s what we know:
c(0.99) + b(0.45) = 18.09
c + b = 24

Solve the second equation for c in terms of b

c = 24-b

Substitute that expression for c in our first equation to get a numerical solution for b:

0.99 (24-b) + 0.45b = 18.09
23.76 - 0.99b + 0.45b = 18.09
-0.54b = -5.67
b = 10.5

Substitute that value to get a numerical value for c:

c = 24 - b
c = 24 - 10.5
c = 13.5

Check the math:

0.99(13.5) + 0.45(10.5) =
13.365 + 4.725 = 18.09

4 0

3 years ago

What are the similarities and differences between comparing whole numbers and decimals

Helga [31]

There both types of numbers but a whole number is a number with no exponents or decimals, but decimals are like a broken un half whole number

3 0

3 years ago

Read 2 more answers

What value of b will cause the system to have an infinite number of solutions? A system of equations. y equals 6 x plus b. negat

Natasha_Volkova [10]

The value of b is 6 for which the system of equation will have an infinite number of solutions option third is correct.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have two linear equations:

y = 6x - b ..(1)

$\rm -3x + \dfrac{1}{2}y = -3$ ..(2)

From the second equation:

$\rm -3x + \dfrac{1}{2}y = -3$

-6x + y = -6

After rearranging:

y = 6x - 6 ..(3)

On comparing equation (1) and (3)

b = 6

Thus, the value of b is 6 for which the system of equation will have an infinite number of solutions option third is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

8 0

2 years ago

A satellite dish has cross-sections shaped like parabolas. The receiver is located 13 inches from the base along the axis of sym

horsena [70]

Answer:

Depth = 3.3 inches

Step-by-step explanation:

Given that the shape of the satellite looks like a parabola

The equation of parabola is given as follows

$x^2=4\times a\times y$

Where

a= 13

Therefore

$x^2=4\times 13\times y$

$x^2=52\times y$

Lets take (13 , y) is a

Now by putting the values in the above equation we get

$13^2=52\times y$

$y=\dfrac{13^2}{52}=3.25$

y=3.25 in

Therefore the depth of the satellite at the nearest integer will be 3.3 inches.

Depth = 3.3 inches

7 0

3 years ago