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2 years ago

PLEASE HELP, WILL GIVE BRAINLIEST!!!!!

Mathematics

1 answer:

yaroslaw [1]2 years ago

8 0

Answer:

Actually, you can move the small circle 4 units to the right and then up 4 units up. Then dilate the small circle by a scale factor of 5 to get the larger circle. They are all similar.

* I might be wrong * I'M NOT A MATH TEACHER. MAKE ANY CHANGES WHEN NECESSARY.

All the best,

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A random sample of n 1n1equals=139139 individuals results in x 1x1equals=3737 successes. An independent sample of n 2n2equals=14

gulaghasi [49]

Answer:

$z=-2.32$

$p_v =P(Z$

If we compare the p value and using any significance level for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion 1 is significant lower than the proportion 2 at 5% of significance.

Step-by-step explanation:

1) Data given and notation

$X_{1}=37$ represent the number of people with characteristic 1

$X_{2}=58$ represent the number of people with characteristic 2

$n_{1}=139$ sample 1 selected

$n_{2}=147$ sample 2 selected

$p_{1}=\frac{37}{139}=0.266$ represent the proportion of people with characteristic 1

$p_{2}=\frac{58}{147}=0.395$ represent the proportion of people with characteristic 2

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if the proportion 1 is less than the proportion 2, the system of hypothesis would be:

Null hypothesis: $p_{1} \geq p_{2}$

Alternative hypothesis: $p_{1} < p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{37+58}{139+147}=0.332$

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.266-0.395}{\sqrt{0.332(1-0.332)(\frac{1}{139}+\frac{1}{147})}}=-2.32$

4) Statistical decision

For this case we don't have a significance level provided $\alpha$ we can assuem it 0.05, and we can calculate the p value for this test.

Since is a one left tailed test the p value would be:

$p_v =P(Z$

So if we compare the p value and using any significance level for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion 1 is significant lower than the proportion 2 at 5% of significance.

5 0

2 years ago

Use logarithmic differentiation to find dy/dx if y=(cosx)sinx. Write the derivative in terms of x only. Show all your work.

gladu [14]

Step-by-step explanation:

y = (cos x)^(sin x)

Take log both sides.

ln y = ln ((cos x)^(sin x))

ln y = (sin x) ln (cos x)

Take derivative.

1/y dy/dx = (sin x) (1/cos x) (-sin x) + (cos x) ln (cos x)

dy/dx = y [ (cos x) ln (cos x) − sin x tan x ]

dy/dx = (cos x)^(sin x) [ (cos x) ln (cos x) − sin x tan x ]

Your answer is correct.

7 0

2 years ago

Read 2 more answers

A high jumper starts the bar at 48 inches and raises the bar 1/2 inch after each jump.How high will the bar be after the seventh

VARVARA [1.3K]

Answer:

51.5 in , Formula: y=1/2x+48

Step-by-step explanation:

First, create a formula as shown above

Next, plug your number into the formula:

y=1/2(7)+48

Then, simplify your equation by multiplying 1/2 by 7 and getting 3.5, now add 48 and you get 51.5in

Last, check your work by adding 1/2 seven times and you will get the same result

I hope this helps you and if it does please give a thanks (i would eternally appreciate a brainliest trying t level up)

If i am wrong leave a comment

3 0

2 years ago

Enter the system represented on the graph below. Find and explain the meaning of the point of intersection of the lines.

myrzilka [38]

Answer:

y = -2x+4

y = (3/2)x -3

The point of intersection is (2, 0), or x=2 and y=0.

Step-by-step explanation:

The downward-sloping line drops 2 grid squares for each 1 it goes to the right, so its slope is -2. It intersects the y-axis at +4. In slope-intercept form, its equation is ...

y = slope · x + (y-intercept)

y = -2x + 4

Similarly, the upward-sloping line rises 3 grid squares for each 2 it goes to the right, so its slope is 3/2. It intersects the y-axis at -3. Its equation is ...

y = (3/2)x -3

The two lines intersect at the point where x=2 and y=0, so the coordinates are (2, 0). These are the values of x and y that satisfy both equations, so are the solution to the system.

5 0

2 years ago

kelly wants to build a pacman shaped pool in her back yard pictured to the right (3/4 of a circle). she needs to have a gate aro

Andreas93 [3]

You need to find the circumference of the whole circular pool and then subtract from it the arc length that is 1/4 of the circumference. The circumference formula is C = (3.14)(d), which in our case is 3.14(40) which is 125.6. Now we need the arc length we need to take away. 1/4 of a circle corresponds to a 90 degree angle, so in the formula for arc length, we have this: $\frac{90}{360} (3.14)(40)$ which equals 31.4. Now subtract that from the circumference of the whole circle and you get the outside of the circle minus that arc length. That's 94.2. But we have to go in the radius times 2 to enclose the pie shaped piece we cut away. So we have 134.2. She should've just stuck with enclosing the circle; she would have used less fencing!

4 0

2 years ago