Find the equation of the line with y-intercept 6 and slope 3/5.

In timara math class there are, 12 boys and 15 girls which of the following in the ratio to boys and girls in timaras math class

tiny-mole [99]

Answer:

4:5

Step-by-step explanation:

If there are 12 boys and 15 girls, the ratio of boys to girls will be 12:15.

However, this can be simplified by dividing each number by 3. This can be done since both 12 and 15 are divisible by 3.

12:15

= 4:5

So, the ratio of boys to girls in Timara's class is 4:5

7 0

3 years ago

I dont understand this help me :( What is the equation of a line with a slope of 3 and a point (3, 1) on the line?

spayn [35]

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{1})~\hspace{10em} slope = m\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-1=3(x-3) \\\\\\ y-1=3x-9\implies y=3x-8$

7 0

3 years ago

Find the ratio of the length of this basketball court to its width as a fraction in simplest form.

AlexFokin [52]

Answer:

length=138ft

width=32ft

138:32

69:16

ratio=69/85:16/85

Step-by-step explanation:

8 0

3 years ago

1. Jackie is saving money to buy a new cell phone. The cell phone costs $175, but she has

Serggg [28]

Answer:

32%

Step-by-step explanation:

<h3>Given that:</h3>

Jackie is saving money to buy a new cell phone.
The cell phone costs $175
she has already saved $56

The percent of the cost of the cell phone has Jackie saved

In order to find the percent of the cost of the cell phone has Jackie saved,

divide the cost of the cell phone by the amount of the money Jackie saved
Multiply the result (1) by 100

See below how it's done:

$\dfrac{56}{175} \times 100$

dividing yields:

$0.32 \times 100$

multiplying yields:

$32\%$

Alternative:

Instead of dividing,we can consider reducing the fraction and multiply that with 100 to get the answer.

$\dfrac{56}{175} \times 100 \\ \implies \frac{8}{25} \times 100 \\ \implies 8 \times 4 \\ \implies \boxed{32\%}$

In conclusion:

Jackie has saved 32% of the cost of the cell phone

7 0

2 years ago

The following data show the brand, price ($), and the overall score for 6 stereo headphones that were tested by Consumer Reports

Olenka [21]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

SST = 1800

SSR = 1512.376

SSE = 287.624

b

coefficient of determination is $r^2 \approx 0.8402$

What this is telling us is that 84.02% variation in dependent variable y can be fully explained by variation in the independent variable x

c

The correlation coefficient is $r = 0.917$

Step-by-step explanation:

The table shown the calculated mean is shown on the second uploaded image

Let first define some term

SST (sum of squares total) : This is the difference between the noted dependent variable and the mean of this noted dependent variable

SSR(sum of squared residuals) : this can defined as a predicted shift from the actual observed values of the data

SSE (sum of squared estimate of errors): this can be defined as the sum of the square difference between the observed value and its mean

From the table

$SST = SS_{yy} = 1800$

$SSR = \frac{SS^2_{xy}}{SS_{xx}} = \frac{4755^2}{14950} = 1512.376$

$SSE =SST-SSR$

$=1800 - 1512.376$

$= 287.62$

The coefficient of determination is mathematically represented as

$r^2 = \frac{SSR}{SST}$

$= 1-\frac{SSE}{SST}$

$r^2= 1-\frac{287.6237}{1800}$

$r^2 \approx 0.8402$

The correlation coefficient is mathematically represented as

$r = \pm\sqrt{r^2}$

Substituting values

$r = \sqrt{0.84020}$

$r = 0.917$

this value is + because the value of the coefficient of x in estimated regression equation( $24.9 + 0.301x,$ ) is positive

5 0

3 years ago