Ask question

Ask question

All categories

2 years ago

13

Dani tracked the number of fish she caught per fishing trip and recorded the data in a frequency table. Fish caught Frequency 0

2 1 0 2 3 3 5 5 2 7 1 Create a dot plot for the data. Hover over each number on the number line. Then click and drag up to create the dots.

1 answer:

Alex Ar [27]2 years ago

3 0

Answer:

3 starts for the first one

Step-by-step explanation:

You might be interested in

Lady bird [3.3K]

Answer:

Number 1: x = 5

Number 2: y = 3, x = 1

Number 3: x = 40

Step-by-step explanation:

For Number 1 you have to keep in mind that quadrilaterals have an interior angle measurement of 360°.

With that in mind, all the angles must add up to 360° (duh).

(20x - 16) + (81) + (16x + 10) + (15x + 30)

20x - 16 + 81 + 16x + 10 + 15x + 30 = 360

That's a bloody mess! We should really combine like terms.

20x <em>- 16 </em>+ <em>81 </em>+ 16x +<em> 10</em> + 15x + <em>30</em>

51x + 105 = 360

That looks a lot better, basic algebra from here, where we droppin' bois?

51x = 255

x = 5

--------------------------------------------------

This one's real easy.

In a parallelogram, the sides opposite from each other are equal, therefore:

2y + 2 = 4y - 4

and

x + 6 = 7x

Both are <em>very </em>easy to solve, here:

2y + 2 = 4y - 4

2y + 6 = 4y

6 = 2y

3 = y

<em>Easy!</em>

x + 6 = 7x

6 = 6x

1 = x

<em>Are you kidding me? This is easy stuff, kid.</em>

--------------------------------------------------

In a Rhombus, in case you didn't know, its diagonals (the lines connecting points diagonal to each other) are ALWAYS perpendicular to one another (intersect at 90°) which means:

2x + 10 = 90

2x = 80

x = 40

--------------------------------------------------

That will be all, ya boi Keith.

4 0

3 years ago

The Green Line circles the station every 9 minutes. The red live circles the station every 6 minutes. If they leave the station

maria [59]

D) Because if you do 9 *6 you get 54 minutes until the next time.

4 0

3 years ago

I am having trouble with this relative minimum of this equation.<br>

Norma-Jean [14]

Answer:

So the approximate relative minimum is (0.4,-58.5).

Step-by-step explanation:

Ok this is a calculus approach. You have to let me know if you want this done another way.

Here are some rules I'm going to use:

$(f+g)'=f'+g'$ (Sum rule)

$(cf)'=c(f)'$ (Constant multiple rule)

$(x^n)'=nx^{n-1}$ (Power rule)

$(c)'=0$ (Constant rule)

$(x)'=1$ (Slope of y=x is 1)

$y=4x^3+13x^2-12x-56$

$y'=(4x^3+13x^2-12x-56)'$

$y'=(4x^3)'+(13x^2)'-(12x)'-(56)'$

$y'=4(x^3)'+13(x^2)'-12(x)'-0$

$y'=4(3x^2)+13(2x^1)-12(1)$

$y'=12x^2+26x-12$

Now we set y' equal to 0 and solve for the critical numbers.

$12x^2+26x-12=0$

Divide both sides by 2:

$6x^2+13x-6=0$

Compaer $6x^2+13x-6=0$ to $ax^2+bx+c=0$ to determine the values for $a=6,b=13,c=-6$ .

$a=6$

$b=13$

$c=-6$

We are going to use the quadratic formula to solve for our critical numbers, x.

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-13 \pm \sqrt{13^2-4(6)(-6)}}{2(6)}$

$x=\frac{-13 \pm \sqrt{169+144}}{12}$

$x=\frac{-13 \pm \sqrt{313}}{12}$

Let's separate the choices:

$x=\frac{-13+\sqrt{313}}{12} \text{ or } \frac{-13-\sqrt{313}}{12}$

Let's approximate both of these:

$x=0.3909838 \text{ or } -2.5576505$ .

This is a cubic function with leading coefficient 4 and 4 is positive so we know the left and right behavior of the function. The left hand side goes to negative infinity while the right hand side goes to positive infinity. So the maximum is going to occur at the earlier x while the minimum will occur at the later x.

The relative maximum is at approximately -2.5576505.

So the relative minimum is at approximate 0.3909838.

We could also verify this with more calculus of course.

Let's find the second derivative.

$f(x)=4x^3+13x^2-12x-56$

$f'(x)=12x^2+26x-12$

$f''(x)=24x+26$

So if f''(a) is positive then we have a minimum at x=a.

If f''(a) is negative then we have a maximum at x=a.

Rounding to nearest tenths here: x=-2.6 and x=.4

Let's see what f'' gives us at both of these x's.

$24(-2.6)+25$

$-37.5$

So we have a maximum at x=-2.6.

$24(.4)+25$

$9.6+25$

$34.6$

So we have a minimum at x=.4.

Now let's find the corresponding y-value for our relative minimum point since that would complete your question.

We are going to use the equation that relates x and y.

I'm going to use 0.3909838 instead of .4 just so we can be closer to the correct y value.

$y=4(0.3909838)^3+13(0.3909838)^2-12(0.3909838)-56$

I'm shoving this into a calculator:

$y=-58.4654411$

So the approximate relative minimum is (0.4,-58.5).

If you graph $y=4x^3+13x^2-12x-56$ you should see the graph taking a dip at this point.

3 0

3 years ago

There are 24 students in mr bobs math class 5/8 of these students earned an a on the geometry assessment how many students earne

dlinn [17]

Of means multiply

24*5/8=15

15 students earned an A

8 0

3 years ago

(3 points) A survey of 15651565 people who took trips revealed that 178178 of them included a visit to a theme park. Based on th

igor_vitrenko [27]

Answer:

We fail to reject the null hypothesis at 0.05 significance level. We cannot say that less than 12% of trips include a theme park visit.

Step-by-step explanation:

let p be the proportion of trips included a visit to a theme park.

$H_{0}$ : p=0.12

$H_{a}$ : p<0.12

To test, we need to calculate test statistic of the sample proportion as:

z= $\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of trips included visit to a theme park ( $\frac{178}{1565}=0.1137$

p is the proportion assumed under null hypothesis. (0.12)

N is the sample size (1565)

Using the numbers, z= $\frac{0.1137-0.12}{\sqrt{\frac{0.12*0.88}{1565}}}$

= −0.767 and p(z) is ≈0.222

Since 0.222 > 0.05 we fail to reject the null hypothesis.

3 0

2 years ago