a once-popular children's doll is slowly declining in popularity. the quartic function f(x)-0.002x^4 0.025x^3-0.364x^2-7.243x 86.993, where x is the number of years from 1993 to 2003. Estimate the number of dolls of this type that were sold (in thousands) during a given year from 1993 to 2003. Estimate how many dolls were sold in 2001.

Answer: 61.6

Step-by-step explanation:

Use a calculator if you search it up and plug in the number it’ll give you the answers

Answer:

the answer i think it is 5

im not 100% sure on what the question is, but i hope this helps

Step-by-step explanation:

The terminal point and sin 0 is the terminal point: (-1,0): sin 0 = 0.

We have given that,

In a unit circle, 0 = 180°.

Identify the terminal point and sin 0.

We have given that the half-circle is from 0 to 180 degrees.

The straight line that has been rotated around a point on another line to form an angle measured in a clockwise or counterclockwise direction

Therefore option C is correct.

The terminal point and sin 0 is the terminal point: (-1,0): sin 0 = 0.

To learn more about the terminal side visit:

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Answer:

Base

Step-by-step explanation:

The segment joining the two legs of a trapezoid is called base

Answer:

147 cubic inches

Step-by-step explanation:

volume of the prism is length x breadth x height

3.5 x 7 x 6=147

Answer:

-2 1/4

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]-9\frac{1}{4}[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻  

[tex]\boxed{\text{Calculating the Answer....}}\\\\-5\frac{3}{4}-3\frac{1}{2}\\------------\\\rightarrow -(5\frac{3}{4} +3\frac{1}{2})\\\\\rightarrow 5 + 3 = 8\\\\\rightarrow \frac{3}{4}+\frac{1}{2 } =\frac{3}{4}+\frac{2}{4} =\frac{5}{4} =1\frac{1}{4}\\\\\rightarrow -(8+1\frac{1}{4})\\\\\rightarrow -8-1\frac{1}{4}\\\\\rightarrow \boxed{-9\frac{1}{4}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Yeah, the person above me is right. It's 2:1

Step-by-step explanation:

There are 2 arcade areas and 1 swimming pool. the arcade area to swimming pool ratio is 2: 1.

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or

[tex]\dfrac{a}{b}[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement.

Also the ratio is a unitless(no units) quantity.

There are 2 arcade areas and 1 swimming pool.

The arcade area to swimming pool ratio is 2: 1.

Learn more about ratios here:

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Answer:

C 14n - 8

Step-by-step explanation:

rectangle area = length×width = 12n²-19n-21

width = 3n-7

what do we need to multiply with width to get the full area expression ?

think : what do we need to multiply with 3n to get 12n² (4n)?

and what to multiply with -7 to get -21 (3)?

=> length = 4n+3

perimeter is 2×length + 2×width

p = 2(3n-7) + 2(4n+3) = 6n-14+8n+6 = 14n-8

Answer:

[tex]7x - 21y = 14 - - - (a) \\ 2x + 3y = 11 - - - (b) \\ (a) + 7 \times (b) : \\ 21x + 0y = 91 \\ x = 4.33 \\ (2 \times 4.33) + 3y = 11 \\ 3y = 2.34 \\ y = 0.78 \\ { \boxed{x = 4.33}} \\ { \boxed{y = 0.78}}[/tex]

The graph of f(x) = sqrt( 4x) looks like this. So choose the one that looks like the image attached.

Answer:

Step-by-step explanation:

take angle C as reference angle

using tan rule

tan C=oppposite/adjacent

tan C=6/12

tan C=0.5

C=[tex]tan^{-1}[/tex]0.5

C=26.6 degree

Answer:

15.31

Step-by-step explanation:

The expected value, E(X) is given by :

E(X) = Σx*p(x)

From the table above :

E(X) = (13 * 0.01) + (14 * 0.27) + (15 * 0.30) + (16 * 0.25) + (17 * 0.16) + (18 * 0.01)

E(X) = 15.31

Answer:

18,646

Step-by-step explanation:

>you can graph the equation on a calculator and see that the minimum is at the point (250, 18646) , so the minimum unit cost is 18,646

>you can use the first derivative to find the minimum

c'(x) = (0.2x²-100x+31,146)' = .4x -100

.4x-100= 0 , so x= 250

c(x=250) = 0.2(250)² -100*250 +31,146 =18,646

Answer:

The final price of the television set is $ 20,520.

Step-by-step explanation:

Given that King Monatla surprised his wife on birthday by buying her a 55 inch television set, and the repayment period is 36 months and the monthly installment is $ 570.00, to determine the final price of the television set the following calculation must be performed:

570 x 36 = X

20.520 = X

Therefore, the final price of the television set is $ 20,520.

Answer:

The decrease in the value of the truck, which is 12%

Step-by-step explanation:

f(x) = 29,000(0.88)^x

This is an exponential function of the form

y = ab^x

a is the initial value

b is the growth(decay) rate

x is the time

Since b is less than 1, we know it is decay

To find the rate

1-b = rate

1-.88 = .12

The decay rate is .12*100% = 12 %

Answer:

its A:The decrease in the value of the truck, which is 12%

Step-by-step explanation:

i got this correct

Answer:

(x+4)(x+11)

Step-by-step explanation:

x^2+11x+28

What two numbers multiply to 28 and add to 11

4*7 =28

4+11

(x+4)(x+11)

Answer:

(x + 4)(x + 11)

I agree with wegner

bye

Answer:

b, a, c

Step-by-step explanation:

In a triangle, the largest angle is opposite the longest side. The smallest angle is opposite the shortest side.

This triangle has 3 given side lengths: 3 ft, 5 ft, and 7 ft.

The largest angle is opposite the longest side. That is angle b.

The smallest angle is opposite the shortest side. That is angle c.

The order from largest to smallest angle is

b, a, c

Answer:

75.4cm

Step-by-step explanation:

To calculate the circumference, you need the radius of the circle:

Multiply the radius by 2 to get the diameter.

Multiply the result by π, or 3.14 for an estimation.

That's it; you found the circumference of the circle.

Answer:

C ≈ 75.4 cm

Step-by-step explanation:

[tex]2\pi r[/tex]

2 × 3.14 × 12

C ≈ 75.4 cm

Answer:

The 90th percentile of the distribution is 6.512 ml.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 6 milliliters (ml) and a standard deviation of 0.4 ml.

This means that [tex]\mu = 6, \sigma = 0.4[/tex]

Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.

This is X when Z has a p-value of 0.9, so X when Z = 1.28. Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 6}{0.4}[/tex]

[tex]X - 6 = 1.28*0.4[/tex]

[tex]X = 6.512[/tex]

The 90th percentile of the distribution is 6.512 ml.

Answer:

the straight line will always equal 180 degrees.

180-125-35=20

the answer for the missing degree is 20

Answer:

Let m= x^4

m^2 -3m +2 = 0

Step-by-step explanation:

x ^ 8 - 3x ^ 4 + 2 = 0

Let m= x^4

m^2 -3m +2 = 0

Answer:

the answer should be 3 and 5 :)

Step-by-step explanation:

the answer speaks for itself

Answer:

9 is the answer

Step-by-step explanation:

Answer:

See attachment for circle

Step-by-step explanation:

Given

[tex](x -5)^2 + (y + 10)^2 = 6^2[/tex]

Required

Draw and label the circle

The equation of a circle is:

[tex](x -a)^2 + (y - b)^2 = r^2[/tex]

Where:

[tex]Center = (a,b)[/tex]

[tex]Radius = r[/tex]

So, we have:

[tex]Center = (5,-10)[/tex]

[tex]Radius = 6[/tex]

See attachment for circle

Answer:

The equivalent forms of y = 6 (x - 2) (x - 3) are y=(6x-12)(x-3) and 6x^2-30x+36.

Step-by-step explanation:

hope it helped, please mark me brainliest

Answer:

y = 6x² - 30x + 36

Step-by-step explanation:

y = 6 (x - 2) (x - 3)

so we start off by x times x

x times x = x^2

next we go for 2 × 3

2 × 3 = 6

then -2 - 3

-2 - 3 = -5

Finally multiply it all by 6

6x^2 - 30x + 36

Answer:

There is not a convincing statistical evidence, at the significance level of a = 0.05, that the manager's belief is correct.

As the null hypothesis maybe false accepting it makes a type II error.

Step-by-step explanation:

Let the null and alternate hypotheses be

H0: p ≤ 0.4  vs Ha : p>0.4

q= 1-p= 1-0.4= 0.6

The significance level alpha is 0.05

The critical region for one tailed test is Z> ± 1.645

The sample proportion is p^= x/n= 38/90=0.42222

Using the z statistic

z= p^- p/ √pq

z= 0.422-0.4/ √0.4*0.6

z= 0.04536

Since the calculated value of z= 0.04536 does not lie in the critical region  Z> ± 1.645 we fail to reject null hypothesis.

There is not sufficient evidence to support the manager's claim.

Type I error is when we reject the true null hypothesis .

Type II error is when we accept the false null hypothesis .

As the null hypothesis maybe false accepting it makes a type II error.

There is not enough statistical evidence that the managers' claim is true.

Suppose that we have:

Then, the z test statistic for one sample proportion is:

[tex]Z = \dfrac{\hat{p} - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]

The Type I error is false positive (returning the test result as positive, which means, rejecting the null hypothesis(conclusion of rejection of null hypothesis is called positive test result) when its incorrect).

The Type II error is false negative (returning the test result as negative, which means, accepting the null hypothesis(assuming negative test result, so no flaw in null hypothesis from the perspective of test) when its wrong).

For this case, we've got:

The hypotheses for test would be:

It is single tailed.

At the level of significance 0.05, for single tail, the critical value of Z test statistic is found to be [tex]Z_{\alpha/2} = \pm1.645[/tex]

The z test statistic for one sample proportion is:

[tex]Z = \dfrac{\hat{p} - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]

We test null hypothesis, according to which p is 0.4 or less, so we get:

[tex]Z \approx \dfrac{0.422- 0.4}{\sqrt{\dfrac{0.4(1-0.4)}{90}}} \approx \dfrac{0.022}{\sqrt{0.00267}} \approx 0.426 < |Z_{\alpha/2}| = 1.645[/tex]

Thus, we accept the null hypothesis (we do so when [tex]Z < |Z_{\alpha/2}|[/tex] )

Therefore, there is not enough statistical evidence that the managers' claim is true.

Thus, here, we get:

Learn more about type I and type II errors here:

https://brainly.com/question/26067196

Answer:

[tex]3x^2-1[/tex]

Step-by-step explanation: