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r-ruslan [8.4K]

2 years ago

14

Suppose 123 people voted for Danny. If 55 of the votes were from girls, what would be the ratio of votes from girls to votes fro

m boys? Explain.

2 answers:

serious [3.7K]2 years ago

6 0

It would be 55:68, since there are 55 girls to the 68 boys.

Lubov Fominskaja [6]2 years ago

5 0

First, 123 - 55 = 68 which is how many boys voted. So, the ratio is 55:68

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Willa is building birdhouses. Each side of the birdhouse will need 9 nails. How many nails does Willa need for each birdhouse? T

erma4kov [3.2K]

The total number of nails will decrease by 14 when Willa will use 7 nails on each side.

Step-by-step explanation:

Sides of one birdhouse = 7

Nails used on each side = 9

Nails used on one birdhouse = No. of sides * Nails used for each side

Nails used on one birdhouse = 7*9 = 63 nails

If she uses 7 nails on each side, then the number of nails used on each birdhouse will be;

No. of nails = 7*7 = 49 nails

Difference = Old value - New value

Difference = 63-49 = 14

The total number of nails will decrease by 14 when Willa will use 7 nails on each side.

Keywords: multiplication, subtraction

Learn more about subtraction at:

#LearnwithBrainly

8 0

2 years ago

Find the difference <br> 8x − (12x2 + 5x) =

asambeis [7]

If you mean 8x-(12x^2+5x) then the answer would be -12x^2+3x

8 0

2 years ago

Read 2 more answers

Consider the curve y=4x-x^3 and the chord AB joining points A(-3, 15) and B(2, -15) on the curve. Find the x- and y-coordinates

Elis [28]

We are asked to find the coordinates of the points where the slope of the curve is equal to the slope of the chord AB. We are given the coordinates of A and B. We can use these and the slope formula to find the slope of the chord.

Recall the slope formula is: $m= \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }$
We label the points as follows (note that you could change the way you label the points as you will get the same slope regardless of what point is designated with the 1s and which is designated with the 2s).
$A=( x_{1} , y_{1)}=(-3,15)$
$B=( x_{2} , y_{2}=(2,-15)$
Plugging these into the slope formula yields: $m= \frac{-15-15}{2--3 }= \frac{-30}{5} =-6$
The slope of the chord is -6

Next consider the curve $y=4x- x^{3}$ . We can find the slope of the curve by taking the first derivative. Thus, the slope of the curve is given by: $y^{'} =4-3 x^{2}$

Let us set the slope of the curve equal to -6 to find the points (x,y) where the chord and the curve have the same slope.

That is, $-6=4-3 x^{2}$
$3 x^{2} =10$
$x^{2} = \sqrt{ \frac{10}{3} }$
$x= \sqrt{ \frac{10}{3} },x= -\sqrt{ \frac{10}{3} }$

We now have the x-coordinates of the points at which the slope of the chord equals that of the curve. To find the y-coordinates we substitute the values we found for x in the original equation as follows:

$y=4( \sqrt{ \frac{10}{3} }) -( \sqrt{ \frac{10}{3} }) ^{3} =4( \frac{10}{3}) ^{ \frac{1}{2} }-( \frac{10}{3}) ^{ \frac{3}{2} }$
and
$y=4( -\sqrt{ \frac{10}{3} }) -(- \sqrt{ \frac{10}{3} }) ^{3} =-4( \frac{10}{3}) ^{ \frac{1}{2} }+( \frac{10}{3}) ^{ \frac{3}{2} }$

Thus the two points we seek (x,y) are:
$( \sqrt{ \frac{10}{3} }, 4( \frac{10}{3}) ^{ \frac{1}{2} }-( \frac{10}{3}) ^{ \frac{3}{2} } )$
and
$( -\sqrt{ \frac{10}{3} }, -4( \frac{10}{3}) ^{ \frac{1}{2} }+( \frac{10}{3}) ^{ \frac{3}{2} } )$

4 0

2 years ago

Pete took a sample of moviegoers to see how many are seeing a comedy. Sample size: 175 Number seeing a comedy: 42 Population: 1,

Anastaziya [24]

Answer: Part A : c = n.p

Part B = 366 moviegoers

Step-by-step explanation: In part A, to predict the number of moviegoers, we have to find the <u>proportion</u> of the sample that does the activity, which will called <u>p</u>. Since <u>p</u> is a percentage, to determine how many moviegoers are seeing a comedy, you multiply it by the sample size, <u>n</u>.

Therefore: c = n.p

For part B, based on the the sample:

p = $\frac{42}{175}$ = 0.24

The total population is given: 1,525

c = 0.24.1,525

c = 366

Based on the sample, <u>366</u> <u>people</u> are seeing a comedy.

3 0

2 years ago

To be able to say with 95% confidence level that the standard deviation of a data set is within 10% of the population's standard

boyakko [2]

The answer in this question is 97.
0.20 SD = 1.96 SD / sqrt(n)
n = (1.96 / .200)^2
n = 96.04
Which is rounded Up to 97
The number of observations within the data set must be greater than or equal to the quantity of 97.

8 0

2 years ago