The commissioner of the state police is reported as saying that about 10% of reported auto thefts involve owners whose cars haven't really been stolen. What null and alternative hypotheses would be appropriate in evaluating this statement made by the commissioner?

A. H0: p ≥ 0.10 and H1: p < 0.10
B. H0: p ≤ 0.10 and H1: p > 0.10
C. H0: p > 0.10 and H1: p ≤ 0.10
D. H0: p = 0.10 and H1: p ≠ 0.10

the answer is 10.3, just search up how to solve percentage word problems

Answer:

This is the answer I understood and got.

B. Yes. There is a constant of proportionality of $4.50.

Step-by-step explanation:

When you divided 9/2, you get 4.5

When you divide 22.5/5, you get 4.5

When you divide 31.5/7, you get 4.5

* REMEMBER IT'S ASKING DO THE NUMER OF GAMES AND PRICE FOR A PROPORTIONAL RELATIONSHIP *

So, y= 4.5x

Answer:

$30.21

Step-by-step explanation:

Answer:

xy + y² + 3y + x + 2

Step-by-step explanation:

(x + y + 2)(y + 1)

xy + y² + 2y + x + y + 2

xy + y² + 3y + x + 2

No more like terms, so this is final answer

Answer:

25. -7/5 [tex]\leq[/tex] x [tex]\leq[/tex] 1

Step-by-step explanation:

18:

[tex]5-|x|\leq 2\\-|x| \leq -3\\|x|\leq 3\\x\geq -3[/tex]or       [tex]x\leq 3[/tex]

25:

[tex]3|5x+1|-6\geq 12\\3|5x+1|\geq 18\\|5x+1|\geq 6\\x\leq -7/5[/tex]or               [tex]x\geq 1[/tex]

[tex]-7/5\leq x\leq 1[/tex]

I don't think I explained this well let me know if you need more explanation.

Just remember that 100% = 1.00 !

y = .78x

y = 108.5x

y = .946x

Answer:

$0.68

Step-by-step explanation:

you have to do:

9.95 x .068

or

9.95 x 6.8 ÷ 100

and you would get 0.6766 but rounded to the nearest hundredth would be $0.68

Answer:

1/6 or 0.167

Step-by-step explanation:

First understand that 4 x 1/4 is equal to 1, then replace it in the equation

1 - 5/6

Turn the whole number into a fraction that can be computed

6/6 - 5/6

Solve the equation

6/6 - 5/6 = 1/6

If you need it as a decimal enter it in a calculator and get

0.16666666667

Since the 6 is repeating you can just round that to

0.167

The mass of 2 bags, which is filled by Lynn each with 2 kilograms 450 grams of sand, is less than 5 kilograms.

Weight measurement is the measurement of the heaviness of a object. The units of weight measurement are pounds, grams, kilograms etc.

There is total 1000 grams in one kilogram of weight measurement.

Lynn filled each of three bags with 2 kilograms, 450 grams of sand. There is total 1000 grams in one kilogram of weight measurement. Thus, the kilogram in 450 grams is,

[tex]x=\dfrac{450}{1000}\\x=0.45\rm\; kg[/tex]

Thus, weight in one bag is,

[tex]W=2+0.45\\W=2.45\rm\; kg[/tex]

The weight in two bags is,

[tex]2W=2.45+2.45\\2W=4.9\rm\; kg[/tex]

The weight of 4.9 kg is less than the 5 kilogram..

Thus, the mass of 2 bags, which is filled by Lynn each with 2 kilograms 450 grams of sand, is less than 5 kilograms.

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Answer:

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

h = 15 yards

Volume = 475.17 cubic yards

Diameter = 5.5*2 = 11.0 = 11 yards

Answer:

Answer is [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

To find the interval of x. Use our equations to equal each other.

[tex]-x^2+2x=y,y=0[/tex]

[tex]-x^2+2x=0\\-x(x-2)=0\\-x=0 , (x-2)=0\\x=0 ,2[/tex]

[tex]\int\limits^2_0 {-x^2+2x} \, dx[/tex]

Integrate.

[tex]\frac{-x^3}{3}+x^2\\(\frac{-2^3}{3}+2^2)-[\frac{-0^3}{3}+0^2]\\-\frac{8}{3} +4-0\\-\frac{8}{3}+\frac{12}{3} =4/3[/tex]

Using Desmos I have Graphs of both of the equations you have provided. The problem asks us to find the shaded region between those curves/equations.

Proof Check your interval of x.

Step-by-step explanation:

2 = 15

because it's Vertically opposite angle(VOA)

1 = 180 -15 because it is straight line

1 = 165

1 = 3

3 = 165

because it's Vertically opposite angle(VOA)

4/7

Step-by-step explanation:

[tex] \hookrightarrow \sf \frac{200}{350} [/tex]

[tex]\hookrightarrow \sf \: \frac{ \sout{200}}{ \sout{350}} = \frac{\sout{100}}{\sout{175}} = \frac{4}{7} [/tex]

Therefore, [tex] \rm \frac{200}{350} [/tex] = [tex] \sf \frac{4}{7} [/tex]

Answer:

13/6 is the improper fraction

Step-by-step explanation:

Step 1:  Convert the whole number into a fraction

2 is a whole number which replicates two 6/6's which adds up to 12/6

Step 2:  Combine the two fractions

12/6 + 1/6

13/6

Answer:  13/6 is the improper fraction

Answer:

13/6

Step-by-step explanation:

6/6 = 1

12/6 = 2

12/6 + 1/6 =13/6

A z-table is also known as the standard normal distribution table. The percentage of the population that would fall in the 10 to 22 mm Hg range is 0.9386.

A z-table also known as the standard normal distribution table, helps us to know the percentage of values that are below (or to the left of the Distribution) a z-score in the standard normal distribution.

Given the mean and the standard deviation are 16mmHg and 3.2 mmHg, therefore, the percentage of the population whose blood pressure will fall in the range of 10 to 22 mm Hg are,

[tex]P(10 < x < 22) = P(\dfrac{10-16}{3.2} < Z < \dfrac{22-16}{3.2})[/tex]

[tex]= P(-1.875 < Z < 1.875)\\\\=P(Z < 1.875)-P(Z < -1.875)\\\\= 0.9693-0.0307\\\\= 0.9386[/tex]

Hence, the percentage of the population that would fall in the 10 to 22 mm Hg range is 0.9386.

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Answer:

cos B = 9/41

tan B = 40/9

sin B = 40/41

Step-by-step explanation:

There is no picture, so I am making a few assumptions.

I am assuming that angle C is the right angle and is opposite 41.

I am also assuming that angle B is formed by the sides that measure 9 and 41. The hypotenuse is 41.

For angle B, the adjacent leg is 9, and the opposite leg is 40.

cos B = adj/hyp = 9/41

tan B = opp/adj = 40/9

sin B = opp/hyp = 40/41

Step-by-step explanation:

1) The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length....

= Solution ,

Length ( L ) = ?

breadth ( b ) = 10xy cm

area ( a ) = ( 30x² + 20xy )

Now ,

area ( a ) = l × b

or, ( 30x²y + 20xy ) = L × 10xy cm

[tex]or,\frac{30 {xy + 20xy}^{2} }{10xy} = l \\ [/tex]

[tex]or, \: l = 3 {x}^{2 - 1} + 2cm[/tex]

[tex]\boxed{\sf{l = (3x+2)cm}}[/tex]

2) Subtract the quotient when 20x⁴y² is divided by 5x³y from the product of 2x and 3y.

= Solution,

[tex] = \frac{20 {x}^{4} {y}^{2} }{5 {x}^{3} y} \\ [/tex]

[tex] = 4xy[/tex]

The product of 3x and 4y = 6xy

= 6x - 4xy

[tex] = \boxed{\sf {2xy}}[/tex]

hope it helped !!!!

Answer:

c = sqroot45

Put a 45 in the box under the square root.

Step-by-step explanation:

Use Pythagorean Theorem. See image.

Also, sqroot45 can be simplified. It 3root5, just in case they ask that next.

Answer:

c=√45

Step-by-step explanation:

I'm assuming this question is before Pythagorean theorem so.

Big square area:

[tex](3 + 6) \times (3 + 6) = 81[/tex]

All four right-angled triangles area:

[tex]4( \frac{1}{2} \times 3 \times 6) = 36[/tex]

Smaller square area:

[tex]81 - 36 = 45[/tex]

Value of c:

[tex] {c}^{2} = 45 \\ c = \sqrt{45} [/tex]

Answer:

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Answer:

A, C and D are true statements.

Step-by-step explanation:

Megan constructed triangle ABC.

In Megan’s triangle, m∠A is represented by x°.

Therefore, ∠A = x°

For m∠B is 4 times greater than m∠A

Therefore, ∠B = 4x°

For m∠C is 30° less than 5 times m∠A.

Therefore, ∠C = 5x°-30°

ABC is a triangle.

Sum of all angles of a triangle is 180°. Angle sum property of triangle.

m∠A + m∠B + m∠C = 180°

x° + 4x° + 5x°-30° = 180°

x° = 15°

True Statements are:

A) m∠A = x°

C) m∠B = (4x)°

D) m∠C = (5x – 30)°

Answer:

Polynomials of odd degree have an even number of turning points, with a minimum of 0 and a maximum of n−1 . Polynomials of even degree have an odd number of turning points, with a minimum of 1 and a maximum of n−1 .

Step-by-step explanation:

Work Shown:

L = 6 = length

W = 2 = width

P = 2(L+W)

P = 2(6+2)

P = 2(8)

P = 16 feet of fencing is needed

An alternative formula is P = 2L+2W

Find the slope of the tangent to the curve [tex]y=3+4 x^{2}-2 x^{3}[/tex] at the point where [tex]x=a\text{.}[/tex]

The derivative of a function can be determined using different rules and formulations. One of the important rules here is the power rule. Power rule is used to differentiate functions in the form of [tex]f(x) = x^n[/tex].

[tex]\; \dfrac{d}{dx} (x^n) = nx^{n-1}[/tex]

We are supposed to find the slope of the tangent to the curve [tex]y=3+4 x^{2}-2 x^{3}[/tex] at the point where [tex]x=a[/tex].

[tex]\implies \dfrac{d}{dx}(3+4x^2-2x^3)[/tex]

[tex]\implies \dfrac{d}{dx}(0+4(2x^{2-1})-2(3x^{3-1})[/tex]

[tex]\implies \dfrac{d}{dx}(0+4(2x)-2(3x^2)[/tex]

[tex]\implies \dfrac{d}{dx}(8x-6x^2[/tex]

Now plugging [tex]x=a[/tex] in the above equation, we obtain the following results:

[tex]\implies \boxed{8a -6a^2}[/tex]

Hence, this is our required solution for this question.

The probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is 0.65

The distribution of the fruits is given as:

The probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is:

P = (Apple + Pineapple)/Total

This gives

P = (12 + 21)/(21 + 12 + 18)

Evaluate

P = 0.65

Hence, the probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is 0.65

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Answer:

Step-by-step explanation:

A=1

B=41

C=3

Answer:

500(-1/5)^(n-1)

Step-by-step explanation:

Each term after the first is obtained by multiplying by -1/5.

This is a geometric series.

The nth term = a1 r^n-1)

= 500(-1/5)^(n-1)