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3 years ago

10

Demilade piays football for 2 hours, badminton for 3 hours, volleyball for six hours, Nintendo for 1.5 hours and softball for ei

ght hours each week. How many hours per week does he played outdoor

1 answer:

skad [1K]3 years ago

5 0

he plays for 13 hours every week

You might be interested in

A simple random sample of months of sales data provided the following information: Month Units Sold a. Develop a point estimate

Gnom [1K]

Answer:

a) X[bar]=93

b)S=5.39

Step-by-step explanation:

Hello!

<em>A simple random sample of 5 months of sales data provided the following information: Month: 1 2 3 4 5 Units Sold: 94 100 85 94 92 </em>

<em />

<em>a. Develop a point estimate of the population mean number of units sold per month. </em>

The variable of interest is:

X: Number of sales per month.

A random sample of n=5 months was taken, for each month, the number of units sold was recorded. To calculate the mean of the sample you have to add all the observed frequencies (Units Sold) by the sample size (n)

X[bar]= ∑X/n= 465/5=93

You can say that, on average, 93 units were sold over the 5-month period.

<em>b. Develop a point estimate of the population standard deviation.</em>

To calculate the sample standard deviation you have to calculate the variance and then its square root:

$S^2= \frac{1}{n-1}[sumX^2-\frac{(sumX)^2}{n} ]$

∑X= 465

∑X²= 43361

$S^2= \frac{1}{4}[43361-\frac{(465)^2}{5} ]= 29$

S= √29= 5.385≅ 5.39

I hope this helps!

3 0

3 years ago

Describe a real world problem you could solve with the help of a yardstick and a calculator.

jekas [21]

There are many options, let me tell you three
- how many square feet is your house
- <span>how tall you are in centimeters. use the yardstick to measure yourself then calculate it into centimeters
- </span>needing to find the area of a space in order to purchase a couch you need the yardstick
I hope these options are useful

4 0

3 years ago

3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

8 0

3 years ago

Sam divided a rectangle into 8 congruent

VMariaS [17]

Answer:

40cm²

Step-by-step explanation:

pretty sure bc there are 8 equal 5 cm² pieces meaning you multiply by 8 for the answer. 5•8=40. I think rofl

3 0

3 years ago

A triangle has vertices A(1, 1), B(2, 4), and C(4, 2). Line p is parallel to side AB and contains point C.

kenny6666 [7]

Answer:

$p:y = 3x-10$

Step-by-step explanation:

We are given the following in the question:

A(1, 1), B(2, 4), C(4, 2)

i) Slope of AB

$A(1, 1), B(2, 4)\\\\m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m = \dfrac{4-1}{2-1}=3$

Thus, slope of AB is 3.

ii) Point slope form

The point slope form of a line can be written as:

$y - y_1 = m(x - x_1)$

The point intercept form of line can be written as:

$y = mx + c$

The line is parallel to AB and contains point C(4, 2). Since line p is parallel to AB, line p will have the same slope as line AB

Putting values, we get,

$y - 2 = 3(x-4)\\y = 3x-12+2\\y = 3x-10$

which is the required slope intercept equation of line p.

4 0

3 years ago