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Paladinen [302]
3 years ago
13

Use any model to solve the story problem. A single board is 1/12 meter thick. How many boards are there in a stack of boards tha

t is 2 meters high?
Mathematics
1 answer:
Colt1911 [192]3 years ago
4 0
If a single board measures 1/12 of a meter then it would take 12 boards to make a meter. Since, the stack is 2 meters high. You would multiply 12 and 2 to get 24. There is 24 boards in the stack.
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A bottle holds 24 ounces of water. It has x ounces of water in it.
vfiekz [6]

Step-by-step explanation:

A: x is what's already in the bottle so 24-x= the number of ounces needed to fill the bottle.

B: 24-x= 12 how many ounces is x

7 0
3 years ago
Let ​ f(x)=x2−8x+19<br><br> What is the minimum value of the function?​
nataly862011 [7]
By completing the square: x²-8x+19 = (x-4)²-16+19 = (x-4)²+3 so minimum point = (4,3)

By calculus: f'(x) = 2x-8. (minimum point occurs when f'(x)=0 therefore)
2x-8 = 0 means x=4 and the corresponding y value is 3.

The minimum value of this function (y) is 3 and this occurs when x = 4.
7 0
3 years ago
Read 2 more answers
A random sample of 100 people from City A has an average IQ of 120 with a SD of 18. Independently of this, a random sample of 15
Sloan [31]

Answer:

z=\frac{(120-116)-0}{\sqrt{\frac{18^2}{100}+\frac{15^2}{150}}}}=1.837

p_v =P(z>1.837)=1-P(Z  

Comparing the p value with a significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the average IQ on city A is signficantly higher than city B at 5% of singificance.  

Step-by-step explanation:

\bar X_{A}=120 represent the mean for sample 1

\bar X_{B}=116 represent the mean for sample 2

s_{A}=18 represent the sample standard deviation for 1  

s_{B}=15 represent the sample standard deviation for 2  

n_{A}=100 sample size for the group 2  

n_{B}=150 sample size for the group 2  

\alpha Significance level provided

z would represent the statistic (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if residents of City A smarter on average, the system of hypothesis would be:  

Null hypothesis:\mu_{A}-\mu_{B}\leq 0  

Alternative hypothesis:\mu_{A} - \mu_{B}> 0  

We don't have the population standard deviation's, but the sample sizes are large enough we can apply a z test to compare means, and the statistic is given by:  

z=\frac{(\bar X_{A}-\bar X_{B})-\Delta}{\sqrt{\frac{s^2_{A}}{n_{A}}+\frac{s^2_{B}}{n_{B}}}} (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

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

z=\frac{(120-116)-0}{\sqrt{\frac{18^2}{100}+\frac{15^2}{150}}}}=1.837

P value

Since is a one right tailed test the p value would be:  

p_v =P(z>1.837)=1-P(Z  

Comparing the p value with a significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the average IQ on city A is signficantly higher than city B at 5% of singificance.  

5 0
2 years ago
Solve the following please:
dalvyx [7]

Answer:

most likely b

Step-by-step explanation:

the more than symbol tells me that it is going to move past 10.

8 0
2 years ago
Which table has greater constant of proportionality?
marissa [1.9K]

The table with greater proportionality is table 3.

<h3>What is constant proportionality?</h3>

The constant of proportionality is the ratio between two directly proportional quantities.

As, the constant proportionality is

k= y/x

For table 1,

k = 1/1 = 2/2 =1

For table 2,

k = 6/1= 12/2 = 2

For table 3,

k = 5/1 = 10/2 = 5

For table 4,

k = 4/1 = 8/2 = 4

Hence, table 3 is with greater proportionality.

Learn more about this constant of proportionality here:

brainly.com/question/8598338

#SPJ1

8 0
1 year ago
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