Brainliest to whoever gets this correct , Describe the end behavior of the following function:

Answer:

quartic

Step-by-step explanation:

p(x) = 7 x^3 + 2 x^2 - 3 x^4

The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the terms of this polynomial are, in order, 3, 2, and 4.

The degree of the polynomial is the highest degree of any of the terms; in this case, it is 4.

Answer:

A

Step-by-step explanation:

multiply 7/8 by 2/2 to get 14/16. they are equal

Answer:

Answer for (a) to (e) = 0.32

Calculate the ratio to the nearest hundredth.

Find the Ratio of Diameter (d) and circumference (C)

Step by step explanation:

In order to determine the ratio we must know the formula for the circumference of a circle. Then relate it to the diameter.

But since we have been the value if both circumference and diameter, we would just calculate the ratio.

Circumference of a circle = 2πr

Where d = diameter = 2r

Circumference = πd

a) d = 20 in.

C = 62.83 in.

Ratio of Diameter (d) and circumference (C) = d:C

= 20/(62.83)

d:C = 0.32

b) d=10 in.

C =31.41 in.

d:C = 10/(31.41)

d:C = 0.32

c) d =6 in.

C =18.84 in.

d:C = 6/(18.84)

d:C = 0.32

d) d= 2 in.

C = 6.28 in.

d:C = 2/6.28

d:C = 0.32

e) d = 1 in.

C = 3.14 in.

d:C = 1/3.14

d:C = 0.32

The above answers indicate that the ratio of a circumference of a circle to its diameter = d/C = d/(π×d)

= 1/π = 0.32

Answer:

Hai

It should be the fourth option. 44/20<45/20

Because firstly we should bring them same to make calculation.

im bringing them denominator to 20.

for 11/5, i should multiply both with 4.

11×4 = 44/20 = 5 × 4

for 9/4 ill multiply both with 5.

9×5 = 45/20 = 5 × 4

good luck(:

Answer:

A. The data are continuous because the data can take on any value in an interval.

Step-by-step explanation:

The data surveyed is the exact mass, in grams, of food eaten by each person each day.

This type of data is continous, not discrete. The mass can take any value within the domain of positive real numbers. It represents a physic variable, and they are always continous.

Step-by-step explanation:

(116-718) /(2.805+118) [as, there cannot be two decimals in one numbers

=-602/120.805

=0.498

Answer:

4 hours.

Step-by-step explanation:

Answer:

19.8%

Step-by-step explanation:

We have the following formula for continuous compound interest:

A = P * e ^ (i * t)

Where:

A is the final value

P is the initial investment

i is the interest rate in decimal

t is time.

The time can be calculated as follows:

25 - 18 = 7

That is, the time corresponds to 7 years. In addition, A is 20,000 for A and P would be 5,000, we replace:

20000 = 5000 * e ^ (7 * i)

20000/5000 = e ^ (7 * i)

e ^ (7 * i) = 4

ln e ^ (7 * i) = ln 4

7 * i = ln 4

i = (ln 4) / 7

i = 0.198

Which means that the rounded percentage will be 19.8% per year

The rate of growth needed to achieve this goal is 22%

A compound interest is given by the formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Where A is the final amount, r is the rate, t is the period, P is the principal and n is the number of times compounded in a period.

Given that A = 20000, P = 5000, t = 7 (25 - 18). hence:

[tex]20000=5000(1+\frac{r}{1} )^{7*1}\\\\4=(1+r )^{7}\\\\\\ln(4)=7\ ln(1+r)\\\\r=0.22[/tex]

Therefore the rate of growth needed to achieve this goal is 22%

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Answer:

9/15

16/25

3/4

5/6

Step-by-step explanation:

Convert them to decimals then order them

Answer:

16/25, 9/15, 5/6, 3/4

Step-by-step explanation:

16/25

9/15

5/6

3/4

Answer:

3 yards

Step-by-step explanation:

Divide inches by 36

[tex]108/36\\=3yards[/tex]

Answer:

[tex]3 \: \: yards[/tex]

Step-by-step explanation:

[tex]1 \: \: yard = 36\: \: inches \\ yard \: \: x = 108 \: \: inches[/tex]

So,

[tex] 1 = 36 \\ x = 108 \\ \\ cross \: \: \: multiple \\ \\ 108 = 36x \\ \frac{108}{36} = \frac{36x}{36} \\ x = 3 \: \: yards[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

1.75x ≤ 25

Step-by-step explanation:

Answer:

D. There is more variation in height at 24 months. The box length is​ longer, indicating a larger interquartile range and greater spread in the data

Step-by-step explanation:

One easy way we can easily tell about the spread and variation data sets is by considering the length of the box in the box plot.

The length of a box plot represents the interquartile range of a data set. The longer the box length, the more the variation and spread there is in the data.

Therefore, considering the diagram of the box plots attached below, the box length for length of boys at 24months is longer than that of the box length of heights of boys at 12 months.

The longer box lengths for heights of boys at 24 months indicates a larger interquartile range compared to that of heights of boys at 12 months. This larger interquartile range implies that, there is more variation in heights at 24 months.

Therefore, the correct option is "D. There is more variation in height at 24 months. The box length is​ longer, indicating a larger interquartile range and greater spread in the data."

Answer:

[tex]z=\frac{0.614 -0.64}{\sqrt{\frac{0.64(1-0.64)}{145}}}=-0.652[/tex]  

The p value would be given by:

[tex]p_v =P(z<-0.654)=0.257[/tex]  

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is significantly less than 0.64 at 5% of significance

Step-by-step explanation:

Information given

n=145 represent the random sample taken

X=89 represent the number  of people who believed the supermarket brand was as good as the national brand

[tex]\hat p=\frac{89}{145}=0.614[/tex] estimated proportion of people who believed the supermarket brand was as good as the national brand

[tex]p_o=0.64[/tex] is the value to test

[tex]\alpha=0.05[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to test if the true proportion is less than 0.64, the system of hypothesis are.:  

Null hypothesis:[tex]p \geq 0.64[/tex]  

Alternative hypothesis:[tex]p < 0.64[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info we got:

[tex]z=\frac{0.614 -0.64}{\sqrt{\frac{0.64(1-0.64)}{145}}}=-0.652[/tex]  

The p value would be given by:

[tex]p_v =P(z<-0.654)=0.257[/tex]  

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is significantly less than 0.64 at 5% of significance

Step 1:

Convert the electricity per hour in kilowatts,

Electricity per hour = 20 watts

=20/1000 kilo,watts

Step 2:

The electricity consumes in 5 hour is ,

Electricity in 5 hour = 5x 20/1000 kilo watts.

Obtain the cost as,

=5x20/1000x10

=1 Cent

Answer: =1 Cent

Please mark brainliest

Hope this helps.

The cost of the energy consumed by the laptop for the 5 hours period is 5 cents.

Given:

rate of energy consumption of the laptop, R = 20 Watts per hour

time of operation of the laptop, t = 5 hours

cost of energy consumption, c = 10 cent per kWh

To find:

The energy consumed by the laptop in kWh is calculated as;

[tex]Energy = Power \times time \\\\Energy = (\frac{20 \ W}{hr} \times 5 \ hr) \times 5\ hr\\\\Energy = (100 \ W) \times ( 5 \ hr)\\\\Energy = (0.1 \ kW) \times (5 \ hr)\\\\Energy = 0.5 \ kWh[/tex]

The cost of consuming 0.5 kWh is calculated as;

[tex]Cost = energy \ rate \ \times \ energy \ consumed \\\\Cost= \frac{10 \ cent}{kWh} \times 0.5 \ kWh\\\\Cost = 5 \ cents[/tex]

Thus, the cost of the energy consumed by the laptop for the 5 hours period is 5 cents.

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Answer:

64.5%

Step-by-step explanation:

Initial amount N° = ?

Remaining amount after decay = N = ?

k = decay constant =  0.00012 [tex]yr^{-1}[/tex]

t = time = 3650​ year

fraction remaining will be N/N°

From the decay equation, N = N°[tex]e^{-kt}[/tex]

N/N° = [tex]e^{-kt}[/tex]

N/N° = [tex]e^{-0.00012 x 3650 }[/tex]

N/N° = [tex]e^{-0.438}[/tex]

N/N° = 0.645 = 64.5%

Answer:

cats constitute the same fraction of animals adopted as not adopted

(i am actually not that sure)

Answer:

a

Step-by-step explanation:

as mamy cats as dogs are addopted

Answer:

There is not enough evidence to support the claim that your team scored an average significantly less than 110 points.

Step-by-step explanation:

The question is incomplete:

There is no data from the sample.

We will use the sample [105 107 117 106 110 ] as an example to solve the question.

The mean of the sample is:

[tex]M=\dfrac{1}{5}\sum_{i=1}^{5}(105+107+117+106+110)\\\\\\ M=\dfrac{545}{5}=109[/tex]

The standard deviation of the sample is:

[tex]s=\sqrt{\dfrac{1}{(n-1)}\sum_{i=1}^{5}(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{4}\cdot [(105-(109))^2+(107-(109))^2+(117-(109))^2+(106-(109))^2+(110-(109))^2]}\\\\\\ s=\sqrt{\dfrac{1}{4}\cdot [(16)+(4)+(64)+(9)+(1)]}\\\\\\ s=\sqrt{\dfrac{94}{4}}=\sqrt{23.5}\\\\\\s=4.848[/tex]

This is a hypothesis test for the population mean.

The claim is that your team scored an average significantly less than 110 points.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=110\\\\H_a:\mu< 110[/tex]

The significance level is 0.01.

The sample has a size n=5.

The sample mean is M=109.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=4.848.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{4.848}{\sqrt{5}}=2.17[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{109-110}{2.17}=\dfrac{-1}{2.17}=-0.46[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=5-1=4[/tex]

This test is a left-tailed test, with 4 degrees of freedom and t=-0.46, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t<-0.46)=0.334[/tex]

As the P-value (0.334) is bigger than the significance level (0.01), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that your team scored an average significantly less than 110 points.

Answer:

Step-by-step explanation:

Hello!

Given the  variables:

Y: Blood pressure of a hospital patient (mmHg)

X: Age of a patients (years)

You have to analyze the claim that the rising numbers in high blood pressure related deaths is associated with the aging of the State's population.

i)

[tex]r= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{\sqrt{[sumX^2\frac{(sumX)^2}{n} ]+[sumY^2-\frac{(sumY)^2}{n}] } }[/tex]

To calculate the correlation coefficient you need to do several additional calculations.

n= 10

∑Y= 1005 mm Hg; ∑Y²= 106475 mmHg²

∑X= 360 years; ∑X²= 16500 years²

∑XY= 40425 years*mmHg

[tex]r= \frac{40425-\frac{360*1005}{10} }{\sqrt{[16500\frac{(360)^2}{10} ]+[106475-\frac{(1005)^2}{10}] } }= 0.96[/tex]

The coefficient of correlation is close to 1 and positive, this means that there is a strong positive correlation between these two variables. This means the blood pressure increases as age does.

ii)

If blood pressure increases with age and so does the risk of dying due to a high blood pressure, then the most logical decision to take is to give priority to the old adults.

iii)

The estimated regression is ^Y= a + bXi + ei

a= y-intercept: is the estimated average blood pressure of the patients when age is 0 years.

b= slope: in the modification of the estimated average blood pressure of the patients when age increases 1 year.

ei= residues

The estimated regression model will allow you to analyze and predict the values of blood pressure of patients within the determined range of age.

iv)

[tex]b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{40425-\frac{360*1005}{10} }{16500-\frac{(360)^2}{10} } = 1.20 \frac{mmHg}{years}[/tex]

X[bar]= 36 years

Y[bar]= 100.50 mmHg

[tex]a= Y[bar] - bX[bar]= 100.50-1.20*36= 57.33 mmHg[/tex]

The estimated regression equation is ^Y= 57.33 + 1.20Xi

57.33mmHg in the estimated average blood pressure of a patient age zero.

1.20 mmHg/years is the modification on the estimated average blood pressure when the age of the patients increases one year.

v)

At birth an infant is zero years old, so according to the regression model, it's blood pressure will be 57.33 mmHg

According to medical parameters 64.41 mmHg is the average blood pressure of a newborn child, as you can see this model is a little off the average but still within acceptable parameters.

vi)

Using the estimated regression equation you can predict the value of blood pressure for a determined age by replacing the value of X in it:

^Y= 57.33 + 1.20*90= 165.33 mmHg

It is predicted that a 90-year-old patient will have a blood pressure of mmHg.

vii)

[tex]R^2= \frac{b^2[sumX^2-\frac{(sumX)^2}{n} ]}{sumY^2-\frac{(sumY)^2}{n} } = \frac{1.20^2[16500-\frac{(360)^2}{n} ]}{[106475-\frac{(1005)^2}{10} ]} = 0.93[/tex]

93% of the variability of the patients blood pressure is explained by their age under the model:  ^Y= 57.33 + 1.20Xi

I hope this helps!

Answer:

40.192

Step-by-step explanation:

C=D(pi)

D=6.2*2

C=12.8*3.12

C=40.192

Answer:40.192

Step-by-step explanation:the formula for a circumference if a circle is C=2•3.14•r^2 fill in for r and calculate for your answer

Answer:

700.4 cm

Step-by-step explanation:

This involves two similar triangles.

Both triangles are right triangles.

One has legs measuring 1 cm and 30 cm. We can find the hypotenuse by using the Pythagorean theorem.

(1 cm)^2 + (30 cm)^2 = c^2

c^2 = 901 cm^2

c = sqrt(901) cm

The second triangle has one leg with length 700 cm. This leg corresponds to the 30-cm leg in the other triangle. Since the triangles are similar, we can use a proportion to find the hypotenuse of the second triangle.

(30 cm)/(700 cm) = [sqrt(901) cm]/x

3/70 = sqrt(901) cm/x

3x = 70 * sqrt(901) cm

x = 70 * sqrt(901) cm/3

x = 700.4 cm

Answer: 700.4 cm

The length of drainpipe is 700.4 cm.

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

One has legs measuring 1 cm and 30 cm.

Using Pythagorean theorem.

(1 cm)² + (30 cm)² = c²

c² = 901

c =√901 cm

Since the triangles are similar, we can use a proportion to find the hypotenuse of the second triangle.

(30 cm)/(700 cm) = [√(901) cm]/x

3/70 = √(901) cm/x

3x = 70 x √(901) cm

x = 700.4 cm

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Answer: 30, 60 and 80

Step-by-step explanation:

measures 80,40, and 60. And sets of angles such as 20, 120, and 40 will make two different triangles.

To try three measures that dont add up to 180 will never make a triangle.

One of them can be 30, 60, 80

Answer:

A point would be used as the undefined term

Answer:

C

Step-by-step explanation:

[tex]x=2+\sqrt{x-2} \\\\x-2=\sqrt{x-2} \\\\(x-2)^2=\pm(x-2) \\\\x^2-4x+4=\pm(x-2) \\\\[/tex]

[tex]x^2-5x+6=0[/tex] OR [tex]x^2+3x+2=0[/tex]

x=2 and 3

Hope this helps!

Answer:

The answer is option 3.

Step-by-step explanation:

Firstly, we have to move the unrelated term to the other side :

[tex]x = 2 + \sqrt{x - 2} [/tex]

[tex]x - 2 = \sqrt{x - 2} [/tex]

Then, you have to get rid of square root by squaring both sides :

[tex] {(x - 2)}^{2} = {( \sqrt{x - 2} )}^{2} [/tex]

[tex] {x}^{2} - 4x + 2 = x - 2[/tex]

[tex] {x}^{2} - 4x + 4 - x + 2 = 0[/tex]

[tex] {x}^{2} - 5x + 6 = 0[/tex]

Next, you have to solve it :

[tex] {x}^{2} - 5x + 6 = 0[/tex]

[tex] {x}^{2} - 2x - 3x + 6 = 0[/tex]

[tex]x(x - 2) - 3(x - 2) = 0[/tex]

[tex](x - 2)(x - 3) = 0[/tex]

[tex]x - 2 = 0 \\ x = 2[/tex]

[tex]x - 3 = 0 \\ x = 3[/tex]

Answer:

I would recommend optimum number of six segments for each arc.

Step-by-step explanation:

The optimum number of segments I would recommend for each arc is six. This way, the circle interpolation will divide the arc into six segments, and approximating each segment by a straight line.

Answer:

[tex]t=\frac{2941-2944}{\frac{12}{\sqrt{25}}}=-1.250[/tex]      

The degrees of freedom are given by:

[tex]df=n-1=25-1=24[/tex]  

The p value would be given by:

[tex]p_v =2*P(t_{24}<-1.250)=0.223[/tex]  

Since the p value is higher than 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 2944 mm

Step-by-step explanation:

Information provided

[tex]\bar X=2941[/tex] represent the sample mean

[tex]s=12[/tex] represent the standard deviation

[tex]n=25[/tex] sample size      

[tex]\mu_o =2944[/tex] represent the value to test

[tex]\alpha=0.1[/tex] represent the significance level

t would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to test if the true mean for this case is equal to 2944 mm, the system of hypothesis would be:      

Null hypothesis:[tex]\mu = 2944[/tex]      

Alternative hypothesis:[tex]\mu \neq 2944[/tex]      

The statistic for this case would be given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)      

Replacing the info given we got:

[tex]t=\frac{2941-2944}{\frac{12}{\sqrt{25}}}=-1.250[/tex]      

The degrees of freedom are given by:

[tex]df=n-1=25-1=24[/tex]  

The p value would be given by:

[tex]p_v =2*P(t_{24}<-1.250)=0.223[/tex]  

Since the p value is higher than 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 2944 mm

Answer:

probability (x ≤2) = 0.64

Step-by-step explanation:

P(2 or fewer) = probability of 2 or fewer

probability of (2 or fewer) = probability (x ≤2)

probability of (2 or fewer) = probability when x is 0 + probability when x is 1 + probability when x is 2

probability of (2 or fewer) = probability (x =0) + probability of (x =1 ) + probability (x= 2)

probability of (x=0) = 0.09​

probability of (x=1) = 0.26​ ​

probability of (x =2) = 0.29

probability of (2 or fewer) = 0.09​ + 0.26​ + 0.29​ = 0.64

probability (2 or fewer) = probability (x ≤2) = 0.64

Answer:

[tex] P(X \leq 2)= P(X=0) +P(X=1)+P(X=2)[/tex]

And replacing we got:

[tex] P(X \leq 2)= 0.09 +0.26+0.29 = 0.64[/tex]

And the probability that X would be 2 or lower is 0.64

Step-by-step explanation:

For this case we have the following probability distribution:

x         0       1       2       3         4      5

P(x) 0.09 0.26  0.29  0.20  0.09  0.07

And we want to find the following probability:

[tex] P(X \leq 2)[/tex]

And we can find the probability like this:

[tex] P(X \leq 2)= P(X=0) +P(X=1)+P(X=2)[/tex]

And replacing we got:

[tex] P(X \leq 2)= 0.09 +0.26+0.29 = 0.64[/tex]

And the probability that X would be 2 or lower is 0.64

Answer: B C E

Step-by-step explanation:

Answer:

(16)^-1 or (4)^-2

Step-by-step explanation:

(-1/4)^2, we can convert this to (1/16), which is (16)^-1 or (4)^-2.

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

[tex]-\frac{1}{4} ^{2}[/tex]

[tex]\frac{-1^{2} }{4^{2} }[/tex]

[tex]=\frac{1}{16}[/tex]

10..................

Answer:

car = 1.1 mi/min

bus = 1.05 mi/min

car travels faster

Step-by-step explanation:

recall that speed is given by the gradient (i.e slope) of a distance vs time graph or equation.

for the car:

equation is y = 1.1x

recall that for an equation in the form y = mx + b, slope = m

if we compare the given equation to the general equation, it is clear that

speed of car = slope = m = 1.1 miles/min  (answer)

for the bus,

we are given 2 points (2,2.1) and (4,4.2)

if we apply the formula for slope (see attached for reference)

slope, m

= (4.2 - 2.1) / (4 - 2)

= 2.1 / 2

= 1.05 mi/min= speed of bus (answer)

comparing the 2 speeds, we can see that the car has the higher speed (travels faster).

Answer:

Car:1.1

Bus:1.05

Car is going faster.

Step-by-step explanation:

This is right. I got it right on Big Ideas Math (Pre-Algebra)