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Harman [31]
3 years ago
14

The number 4 on a dice was thrown 7 times in the first 50 throws.

Mathematics
1 answer:
STatiana [176]3 years ago
4 0

Answer:

4 would be rolled 60 times when the dice was thrown 3000 times.

Step-by-step explanation:

3000/50 is how many times 4 would be rolled

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A bike shop rents bikes for $4.50 per hour, plus a $7.50 insurance charge. For how many hours can Peter rent a bike if he has $3
Mandarinka [93]

Answer:

With $30, Peter can afford 5 hours

Step-by-step explanation:

Given

Insurance Charge = $7.5

Charges = $4.5 per hour

Required

Determine the number of hours $30 can afford

First, we need to determine the equation.

<em>Total Charges = Charges per hour + Insurance Charge</em>

Substitute values for Charges per hour and Insurance Charge

Total Charges = 4.5 per hour + 7.5

Let the number of hours be n;

So,

Total Charges = 4.5n + 7.5

To calculate Peter's; substitute 30 for total charges

30 = 4.5n + 7.5

Subtract 7.5 from both sides

4.5n = 30 - 7.5

4.5n = 22.5

Divide both sides by 4.5

n = \frac{22.5}{4.5}

n = 5

Hence;

<em>With $30, Peter can afford 5 hours</em>

3 0
3 years ago
In recent commercials Toyota claimed that 80% of its vehicles sold in the past 20 years are still on the road. You work for an a
Anvisha [2.4K]

Answer:

Step-by-step explanation:

We have to perform one sample proportion test. To do so we have to proceed through following steps.

(1) We have to collect data about vehicle sales in last 20 years.

(2) Using random number table or random number generator or otherwise we have to select sample of vehicles from the list of sale. In this step, we have to keep an eye on the fact that sample is to be selected from all years (all of 20). Using stratified random sampling by dividing vehicles sold over different years is an effective way to do so. That means, we may divide vehicles sold into 20 homogeneous strata over 20 years and select sample from each strata.

(3) After selecting sample of vehicles we have to communicate to corresponding vehicle owners to gather information about that particular vehicle.

(4) We have to note number of vehicles which are still on the road.

Suppose, we have selected  n vehicles as sample and after communicating we found that \tiny r of those are still on the road.

We have to test for null hypothesis H_0:p=0.80

against the alternative hypothesis H_1 \neq 0.80

Our test statistic is given

z=\frac{\hat p - p_0}{\sqrt{p_0(1-p_0)/n} }

here,

\hat p =\frac{r}{n}

p_0 =0.80

z=\frac{r/n-0.80\sqrt{n} }{0.40} \\\\=2.5(\frac{r}{n} -0.8)\sqrt{n}

We then calculate corresponding p-value.

We reject our null hypothesis if \text{p-value} , level of significance.

According to our obtained p-value and level of significance we proceed to certain conclusion.

8 0
3 years ago
Someone help plz, I'm stuck
VladimirAG [237]

Answer:

Original price reduced by 30%

Step-by-step explanation:

You want the deepest discount, which means you want the greatest percent/amount off. The first choice is 20%. The second is 30%. The third one is 25%, because you are paying for 75% (100-75). The second choice offers the deepest discount because it is 30% off.

6 0
3 years ago
Solve the right triangle ABC with right angle C if B=30 degrees and c=10.
kenny6666 [7]
C=10, C=90°, B=30°, A+B+C=180°
A+30°+90°=180°⇒A=60°

cos30°=a/c
cos30°=a/10⇒a=cos30°*10
a<span>≃8.6602


c²=a²+b²⇒b²=c²-a²
b²=10²-8.6602²⇒b²=25
b=5
</span>
3 0
3 years ago
Read 2 more answers
What is the domain of the function shown in the graph below?
Anika [276]

Answer:

All numbers except 1

Step-by-step explanation:

The graph has an asymptote at 1.

So the function will grow toward but without reaching it.

The equation of the asymptote is x=1

So the domain is all real numbers except 1.

7 0
3 years ago
Read 2 more answers
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