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Alenkasestr [34]
4 years ago
5

Solve "To win a bowling trophy, you need a 3-game total score of at least 500. On the first two games, your scores are 183 and 1

65. What score do you need on game 3?"
Mathematics
1 answer:
ExtremeBDS [4]4 years ago
4 0

Answer:

Correct answer:  game₃  ≥ 152

Step-by-step explanation:

According to the given data we will form the necessary inequality:

g₁ + g₂ + g₃ ≥ 500  ⇒ g₃ ≥ 500 - (g₁ + g₂)  ⇒ g₃ ≥ 500 - (183 + 165)

g₃ ≥ 500 - 348  ⇒ g₃ ≥ 152

g₃ ≥ 152

God is with you!!!

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The amount of water inside each of these things is proportional to the volume of the tank the tropical fish tank has a volume of
k0ka [10]

Answer:

1920 gallons of water

Step-by-step explanation:

From the question; the amount of water is proportional to volume of the tank

i.e amount of water = volume of the tank

in a tropical fish;

3000 gallons of water = 12.5 m³     ----- Equation (1)

However, in the  measurement of  shark tank, we have

length = 20cm = 0.2 meters

width = 4 meters

Height = 10 meters

How many gallons of water can the shark tank hold?

From the measurement of  shark tank, we can calculate the volume;

The volume of the tank = Length × width × height

Volume of the tank = 0.2 × 4 × 10 = 8 m³

since, the amount of water is proportional to volume of the tank

y ( Gallons of water ) = 8 m³    -------- Equation (2)

Equating equation 1 and 2; we have:

3000 gallons of water = 12.5 m³  

y ( Gallons of water ) = 8 m³    

y ( Gallons of water ) ×  12.5 m³  = 3000 gallons of water × 8 m³  

y ( Gallons of water )  = \frac{3000 gallons of water * 8 m^3  }{12.5m^3}

y ( Gallons of water )  = \frac{24000}{12.5}

y ( Gallons of water )  = 1920 gallons of water

Thus, the shark tank can hold 1920 gallons of water

6 0
4 years ago
Read 2 more answers
3. 3b + 5 = 14<br> What is the answer
77julia77 [94]

Answer:

b=3

Step-by-step explanation:

3×3+5=14

That is how i figure it out

8 0
4 years ago
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The function y=e−3x is vertically stretched by a factor of 4, reflected across the y-axis, and then shifted up 5 units, find the
olya-2409 [2.1K]

Answer:

Step-by-step explanation:

y = e^(-3x)

Stretch by factor of 4

y = 4e^(-3x)

Reflect across y axis

y = 4e^(3x)

Shift up by 5

y = 4e^(3x) + 5

8 0
3 years ago
The long side of a box is 6 inches. That is 3 times the length of the short side. How long is the short side?
Lapatulllka [165]

The short side of the box is 2 inches.

6÷3=2

3 0
3 years ago
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An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 180180 engin
tiny-mole [99]

Answer:

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

p_v =P(Z  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=4.6 represent the sample mean

\sigma=0.9 represent the population standard deviation

n=180 sample size  

\mu_o =4.8 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if thetrue mean is below the specifications, the system of hypothesis would be:  

Null hypothesis:\mu \geq 4.8  

Alternative hypothesis:\mu < 4.8  

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

P-value

Since is a one sided test the p value would be:  

p_v =P(Z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

4 0
3 years ago
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