(5) 60% of a number is 36. Use this fact to find:
a) 30% of the number
b) 20% of the number.
c) 50% of the number​

Answer:

Solar energy is a renewable resource, meaning it won't ever run out or be in short supply. ... Solar energy reaches us via the sun's rays, while fossil fuels come from ancient carbon-rich remains on earth. So, as long as the sun is shining, solar energy will be around.

Step-by-step explanation:

Answer:

a) test statistic = 2.12

b) p-value = 0.017

c) we reject the Null hypothesis

Step-by-step explanation:

Given data :

N = 200

girls (x) = 115 , Boys = 85

p = x / n = 115 / 200 = 0.575

significance level ( ∝ ) = 0.1

aim : test whether the proportion of girls births after the treatment is greater than 50% that occurs without any treatment .

A) Determine the test statistic

H0 : p = 0.5

Ha : p > 0.5

to determine the test statistic we will apply the z distribution at ( ∝ ) = 0.1

Z - test statistic = ( 0.575 - 0.5)  / [tex]\sqrt{0.5*0.5 / 200}[/tex]  = 2.12

b) determine the p-value

The P-value can be determined using the normal standard table

P-value = 1 - p(Z< 2.12 )  =  1 - 0.9830 = 0.017

c) Given that the p value ( 0.017 ) < significance level ( 0.1 )

we will reject the H0 because there is evidence showing that proportion of girls birth is > 50%

Answer:

No, the 6 servings of soup is 1675 milliliters, which is greater than 1.5 liters.

Step-by-step explanation:

So we already know that 1 surving of soup is 275 milliliters.

We have 6 survings of this soup.

We need to see if these 6 servings will fit in a 1.5 liter jar.

To find the total amount of mililers, we must multipy this by 6:

275*6

=

1650

Remember that 1 liter is equal to 1000 mililiters. To find the 1650 mililliters in liters, we must divide by 1000:

1650/1000

=

1.65

This number is greater than 1.5 liters, which is how much soup the jar can store.

So the answer is no, the 6 servings of soup cannot fit in the jar.

Answer:

D. (1+1/n)n

Step-by-step explanation:

The value of the expression A, B, C, and D will be 1, ∞, ∞, and 1.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

You can approximate e by substituting large values for n into the expression.

Let the infinity be the largest number.

A. (1 – 1/n)ⁿ

Substitute n = ∞, then the value of the expression will be

[tex]\Rightarrow \left (1 - \dfrac{1}{\infty} \right)^{\infty}\\\\\Rightarrow \left (1 - 0 \right)^{\infty}\\\\\Rightarrow 1[/tex]

B. (1 + n)ⁿ

Substitute n = ∞, then the value of the expression will be

[tex]\Rightarrow \left (1 + \infty \right)^{\infty}\\\\\Rightarrow \infty^{\infty} \\\\\Rightarrow \infty[/tex]

C. (1 – n)ⁿ

Substitute n = ∞, then the value of the expression will be

[tex]\Rightarrow \left (1 - \infty \right)^{\infty}\\\\\Rightarrow \infty^{\infty} \\\\\Rightarrow \infty[/tex]

D. (1 + 1/n)²

Substitute n = ∞, then the value of the expression will be

⇒ (1 + 1/∞)²

⇒ (1 + 0)²

⇒ 1²

⇒ 1

Then the value of the expression A, B, C, and D will be 1, ∞, ∞, and 1.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Answer:

a : b : c = 9 : 15 : 20

Step-by-step explanation:

Here, b is common to both the ratios. In order to find the combined ratio of a, b and c, it is required to make the b ratio same in the given ratios.

Therefore,

[tex] \frac{a}{b} = \frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15} \\ \\ \frac{b}{c} = \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \\ \\ \implies \: a : b : c = 9 : 15 : 20[/tex]

Option C. The area ≈ 706.86

Answer:

-3/4

Step-by-step explanation:

In slope-intercept form, the slope is the coefficient of x.

Answer:

he is spending 3.50 each week

Answer:

-4/-5

Step-by-step explanation:

you have to pick 2 numbers from the y row and the x row i picked -7 and 3 and -5 and 0 so first you would do 3-(-7) and that would be -4 and then do -5-0 and that would be -5 then you would put the y/x

Answer:

I believe it would be $3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Because 0.89 is greater than 0.5, we have to round up. Therefore, the answer is 3.

If this helps please mark as brainliest

Answer:

3, 6, 2.7( The is one I cannot see cuz of glare)

Step-by-step explanation:

Answer:

Answer:

Here we can not see the graph, so I will upload a new graph for this case.

To solve the equation:

Ln(x) = x - 2

We can first graph the equations:

y = Ln(x)

y = x - 2

And find the point where these graphs intersect.

In the graph we can see two intersects.

One (the first one) is near the point ( 0.15, -1.85)

And the other intersection is near the point (3.14, 1.14)

Then two possible values of x that are solutions of:

ln(x) = x - 2

are:

x = 0.15

x = 3.14

Answer:

9(2+3x)

9*2+9*3x

18+27x

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

If you flip the picture over and look at it while it is upside-down, you can see that image A is the same shape.

Answer:

7/9

Step-by-step explanation:

21 / 27 = 3 * 7 / 3 * 9

= 7/9

Answer: the answer is 31.5

Step-by-step explanation:

u will need to 9.0 X 3.5 to get the naswer so its 31.5

Answer:

perimeter is add up all the values on the sides

5+3+4=12

hope it helps :)

Solution :

As we can see from the following question that  :

[tex]$\text{Seller A}$[/tex] charges [tex]$3$[/tex] for their house, [tex]$C_A=3$[/tex]

[tex]$\text{Seller B}$[/tex] charges [tex]$2$[/tex] for their house, [tex]$C_B=2$[/tex]

[tex]$\text{Seller C}$[/tex] charges [tex]$1$[/tex] for their house, [tex]$C_C=1$[/tex]

Now depending on the valuation that each buyer have on these three houses, they derive utility from it :

Buyer I

Valuation for house A, [tex]$V'_A=1$[/tex]

Valuation for house B, [tex]$V'_B=3$[/tex]

Valuation for house C, [tex]$V'_C=2$[/tex]

Utility that buyer I derives from :

House A, [tex]$V_A = V'_A-C_A = 1-3 = -2$[/tex]

House B, [tex]$V_B = V'_B-C_B = 3-2 = 1$[/tex]

House C, [tex]$V_C = V'_C-C_C = 2-1 = 1$[/tex]

As we can see from buying house B and C, buyer I has positively utility, so the buyer will be interested to buy house B and C. As the utility derived from both the houses is same, he will be indifferent.

Buyer II

Valuation for house A, [tex]$V^2_A=5$[/tex]

Valuation for house B, [tex]$V^2_B=5$[/tex]

Valuation for house C, [tex]$V^2_C=5$[/tex]

Utility that buyer II derives from :

House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]

House B, [tex]$V_B = V^2_B-C_B = 5-2 = 3$[/tex]

House C, [tex]$V_C = V^2_C-C_C = 5-1 = 4$[/tex]

Buyer II drives positive utility from all the three houses, so he will be interested to buy any of them but will be inclined towards house C, as it gives the buyer more utility.

Buyer III

Valuation for house A, [tex]$V^2_A=5$[/tex]

Valuation for house B, [tex]$V^2_B=3$[/tex]

Valuation for house C, [tex]$V^2_C=2$[/tex]

Utility that buyer III derives from :

House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]

House B, [tex]$V_B = V^2_B-C_B = 3-2 = 1$[/tex]

House C, [tex]$V_C = V^2_C-C_C = 2-1 = 1$[/tex]

The buyer III derives positive utility from all the three houses but will be more inclined to buy house A as it gives the buyer higher utility as compared to the other houses.

Answer:

13.33

Step-by-step explanation:

let p be park.

[tex]t+p = c\\\\t_{2}(x) + p_{2} = c[/tex]

[tex]\\(87)+(3) = 90\\\\(6)x+(10) = 90[/tex]

(6)x needs to make up 80 to get the total cost(c)

80/6 = 13.33

so x should be 13.33

Answer: 5

Step-by-step explanation:

Answer:

y = 1096x + 5394

Step-by-step explanation:

Given that

The bakery sells 5394 donuts in 2010

And, the bakery sells 10,874 donuts in 2015

We need to write the linear model

So here

we assume that the x be the no of years after 2010

And, y be the no of donuts

Now

x_1 = 0, y_1 = 5394

x_2 = 5, y_2 = 10874

Now the slope is

m = (y_2 - y_1) ÷ (x_2 - x_1)

= (10874 - 5394) ÷ (5 - 0)

= 1,096

Now

y - y_1 = m(x - x_1)

y - 5394 = 1096(x - 0)

y - 5394 = 1096x - 0

y = 1096x + 5394

Answer:

20 in place value of 2

hope it helped