Name two ways you might see decimals used outside of school

Elliot collects miniature toy cars. He wants to fill 4 display cases.each display case holds 15 cars. He has 28 cars now, and he

baherus [9]

Answer:

Elliot has to wait 11 months before he has enough cars

Step-by-step explanation:

Elliot has 4 display cases with each case being able to hold 15 cars. Thus we know

total # of cars Elliot can place in his display case = 4 * 15 = 60 cars

From this, we can figure out how many more cars Elliot needs by subtracting the amount of cars he already has

# of cars Elliot needs = 60 - 28 = 32 cars

Now to find the number of months Elliot needs, we divide by how many he can buy each month

# of months Elliot needs to save up for = 32 / 3 = 10 2/3

Assuming Elliot does not get his allowance until the end of the month, we will have to round the number of months up to the nearest integer, 11

7 0

2 years ago

Madelyn buys 3 bottles of orange juice at the corner store for a total cost of $2.31.

Tom [10]

Answer:

$0.77

Step-by-step explanation:

To find how much each bottle of juice costs, divide 2.31 by 3:

2.31/3

= 0.77

So, each bottle of juice is $0.77

5 0

2 years ago

Read 2 more answers

The table shows the profits (y) in millions of dollars for Buffalo Wild Wings for each year (x) from 2007 through 2013, where x=

user100 [1]

a) See attached diagram.

b) The slope can be obtained by the formula:

$m_i=\dfrac{y_{i+1}-y_i}{x_{i+1}-x_i}.$

Now

$m_1=\dfrac{24.4-19.7}{8-7}=4.7;$
$m_2=\dfrac{30.7-24.4}{9-8}=6.3;$
$m_3=\dfrac{38.4-30.7}{10-9}=7.7;$
$m_4=\dfrac{50.4-38.4}{11-10}=12;$
$m_5=\dfrac{57.3-50.4}{12-11}=6.9;$
$m_6=\dfrac{71.6-57.3}{13-12}=14.3;$

The greatest increases were from 2012 till 2013 years and the least increases were from 2007 till 2008 years.

c) Using graphing calculator, the equation of the line (black line in the diagram) is

$y\approx 0.71x^2-5.58x+23.76.$

d) Since the slopes are different, this line is not straight. From the given data you can predict that the "best fit" is quadratic function.

e) In 2017, find

$y(17)\approx 0.71\cdot 17^2-5.58\cdot 17+23.76\approx 134.09$

6 0

2 years ago

a sports statistician claim that the mean winning times for boston marathon women's open division champions is at least 2.68 hou

GenaCL600 [577]

Answer:

We conclude that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours.

Step-by-step explanation:

We are given that a sports statistician claim that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours.

The mean winning time of a sample of 30 randomly selected Boston marathon women's open division champions is 2.60 hours. assume the population standard deviation is 0.32 hours.

Let $\mu$ = mean winning times for Boston marathon women's open division champions.

So, Null Hypothesis, $H_0$ : $\mu\geq$ 2.68 hours {means that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours}

Alternate Hypothesis, $H_A$ : p < 2.68 hours {means that the mean winning times for Boston marathon women's open division champions is less than 2.68 hours}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean winning time = 2.60 hours

$\sigma$ = population standard deviation = 0.32 hours

n = sample of women's open division champions = 30

So, test statistics = $\frac{2.60-2.68}{\frac{0.32}{\sqrt{30} } }$

= -1.37

The value of z test statistics is -1.37.

Now, P-value of the test statistics is given by following formula;

P-value = P(Z < -1.37) = 1 - P(Z $\leq$ 1.37)

= 1 - 0.9147 = 0.0853

Since, P-value of the test statistics is more than the level of significance as 0.0853 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours.

6 0

2 years ago

Which equation is the inverse of (x minus 4) squared minus two-thirds = 6y minus 12?

mario62 [17]

Answer:

The correct option is option B.

Step-by-step explanation:

The given function is

$(x - 4)^{2} - \frac{2}{3} = 6y - 12$