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ELEN [110]
3 years ago
15

Which values are solutions to the inequality below? Check all that apply. √x<12 a.-144 b. 32 c. 100 d. 148 e.144 f. 4

Mathematics
1 answer:
kozerog [31]3 years ago
5 0
The correct answer is e

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During the first 15 weeks of the 2016 season of a certain professional football​ league, the home team won 141 of the 241 ​regul
rusak2 [61]

Answer:

The answer is 2.0190

Step-by-step explanation:

<em>From the given question,</em>

<em>We recall that,</em>

<em>p = 141/241 = 0.5850</em>

<em>so, p = 0.5</em>

<em>The Hypothesis is:</em>

<em>H₀ : P = 0.5, this means that  H0:50% of the games played will be won</em>

<em>vs</em>

<em>H₁ : P > 0.5, This indicates that, win is greater than 0.5 due to home field advantages.</em>

<em>n=241,x=141</em>

<em>Then,</em>

<em>SD(p)=√(p*q/n)=√(0.5*0.5/141)=0.0421</em>

<em>z = p - p/ SD (p) = 0.5850 - 0.5/0.0421 = 0.085/0.0421 =2.0190</em>

<em>therefore, there is strong evidence that there is home field advantages in professional football.</em>

8 0
3 years ago
Are these similar triangles
Natasha_Volkova [10]
No from D to F the line is slanted which throws off both triangles but that does not make the the same
6 0
3 years ago
Araceli is trying to decide between three job offers. She created the table below to compare the offers.
inna [77]

Answer:

Difference= $11,280

Step-by-step explanation:

Giving the following information:

Manager at Shop & Save Grocers= Hourly wages $16.50 per hour  

Assistant Manager at Unbelievable Toys= Monthly wages $3,800

Cashier at 7-12 Convenience Store= Yearly wages $43,000

<u>First, we need to calculate the yearly wages, and then compare the results:</u>

Shop & Save Grocers= (16.5*40)*52= $34,320

Unbelievable Toys= 3,800*12= $45,600

The highest paying job is at Unbelievable Toys.

Difference= 45,600 - 34,320= $11,280

5 0
3 years ago
Someone please help me will give brainliest!!!!!
ololo11 [35]
I believe the fastest way to solve this problem is to take any two of the given points and to find the slope and y-intercept of the line connecting those two points.  

Let's choose the 2 given points (-3,16) and (-1,12).
Going from the first point to the second, the increase in x is 2 and the increase in y is actually a decrease:  -4.  Thus, the slope of the line connecting these two points is m = -4/2, or m = -2.

Now use the slope-intercept formula to find the y-intercept, b.

One point on the line is (-3,16), and the slope is m = -2.

Thus, the slope-intercept formula y = mx + b becomes 16 = -2(-3) + b.
Here, b comes out to 10.

So now we have the slope and the y-intercept.  Write the equation:

y = mx + b becomes y=-2x+10.  Which of the four given answer choices is the correct one?
3 0
2 years ago
Suppose brine containing 0.2 kg of salt per liter runs into a tank initially filled with 500 L of water containing 5 kg of salt.
Oliga [24]

Answer:

(a) 0.288 kg/liter

(b) 0.061408 kg/liter

Step-by-step explanation:

(a) The mass of salt entering the tank per minute, x = 0.2 kg/L × 5 L/minute = 1 kg/minute

The mass of salt exiting the tank per minute = 5 × (5 + x)/500

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;

Δ/dt = x - 5 × (5 + x)/500

The increase, in mass, Δ, after an increase in time, dt, is therefore;

Δ = (x - 5 × (5 + x)/500)·dt

Integrating with a graphing calculator, with limits 0, 10, gives;

Δ = (99·x - 5)/10

Substituting x = 1 gives

(99 × 1 - 5)/10 = 9.4 kg

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank)

∴ The concentration of the salt and water in the tank after 10 minutes =  (5 + 9.4)/500 = (14.4)/500 = 0.288

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter

(b) With the added leak, we now have;

Δ/dt = x - 6 × (14.4 + x)/500

Δ = x - 6 × (14.4 + x)/500·dt

Integrating with a graphing calculator, with limits 0, 20, gives;

Δ = 19.76·x -3.456 = 16.304

Where x = 1

The increase in mass after an increase in = 16.304 kg

The total mass = 16.304 + 14.4 = 30.704 kg

The concentration of the salt in the tank then becomes;

Concentration = 30.704/500 = 0.061408 kg/liter.

6 0
3 years ago
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