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krek1111 [17]
4 years ago
8

A recent survey was conducted with a simple random sample of 35 shoppers at the food court in a local mall. The mall claims that

the mean price for lunch is less than $4.65. The mean of the sample is $4.49, and the standard deviation of the population of lunch shoppers is $0.36. A P-value of 0.0043 is found using a 0.01 significance level to test the claim that the mean price for lunch is less than $4.65. State the conclusion about the null hypothesis.
fail to accept the null hypothesis



reject the null hypothesis



fail to reject the null hypothesis



accept the null hypothesis
Mathematics
1 answer:
morpeh [17]4 years ago
6 0

mmmmm i don’t know this answer

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When 12x² + kx + 3 and 3x³ + (3k + 2)x² + 28x +17
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Answer:

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Step-by-step explanation:

Hello,

We know that for a real, the polynomial P(x) divided by (x-a) the remainder is P(a)

and as

3x+2=03x=-2x=\dfrac{-2}{3}

so we need

12(\dfrac{-2}{3})^2+k(\dfrac{-2}{3})+3=3(\dfrac{-2}{3})^3+(3k+2)(\dfrac{-2}{3})^2+28\dfrac{-2}{3}+17\\ \ multiply \ by \ 9\\ 12*4-6k+27=-8+4(3k+2)-28*2*3+17*9\\ -6k+48+27=-8+12k+8-168+153\\ -6k+75=12k-15\\ 18k=75+15=90\\ k = \dfrac{90}{18}=\dfrac{15}{3}

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7 0
3 years ago
A rectangle has a length 25% longer than the width and an area of 80cm squared. determine the length and the width of the rectan
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Answer:

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5 0
3 years ago
Which word problem matches the problem? 2 3 x 7 A) Mark has 7 gallons of milk. Ernesto drinks 2 3 of a gallon. How much milk is
kakasveta [241]

Answer:

Out of given word problem , (B) word problem matches the given problem.

B) Mark drinks \frac{2}{3}  of a gallon of milk every week. How much does he drink in 7 weeks? written as,

x=\frac{2}{3}\times 7

Step-by-step explanation:

 Given problem \frac{2}{3} \times 7

We are given four options and we have to chose the correct one.

We will convert each given statement into mathematical problem.

Consider,

A)Mark has 7 gallons of milk. Ernesto drinks \frac{2}{3} of a gallon. How much milk is left?

Mathematically represented as,

Let left milk be x then ,

x=7-\frac{2}{3}

B)Mark drinks \frac{2}{3}  of a gallon of milk every week. How much does he drink in 7 weeks?

Mathematically represented as,

Let milk drink by Mark in 7 weeks be x gallons then ,

x=\frac{2}{3}\times 7

C) Mark has \frac{2}{3} of a gallon of milk. Ernesto has 7 gallons of milk. How much do they have together?

Mathematically represented as,

Let they together they drink  x gallon milk, then

x=\frac{2}{3}+ 7

D) Mark has \frac{2}{3} of a gallon of milk to divide among 7 family members. How much milk does each person get?

Mathematically represented as,

Let each person gets  x gallon milk, then

x=\frac{2}{3} \div 7

Thus, out of given word problem , (B) word problem matches the given problem

4 0
4 years ago
Read 2 more answers
Please help me out with this
Sergio039 [100]

Answer:

26

Step-by-step explanation:

4(10)-2(10+-3)

40-2(7)

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26

8 0
3 years ago
Read 2 more answers
ACBM is a segment of a circle such
tatiyna

Answer:

a. 8.94 cm  b. 127°  c. 12.37 cm²

Step-by-step explanation:

a. Since CM = 4 cm is the perpendicular bisector of AB = 16 cm and r is the radius off the circle. From Pythagoras' theorem,

r² = (AB/2)² + CM²

r = √[(AB/2)² + CM²]

Substituting the values of the variables into r, we have

r = √[(16/2)² + 4²]

r = √[8² + 4²]

r = 4√[2² + 1²]

r = 4√[4 + 1]

r = 4√5 cm

r = 8.94 cm  

b. We know that the length of a chord L = 2rsin(θ/2) where r is the radius of the circle, and θ is the angle subtended by the chord AB.

Since L = 2rsin(θ/2)    and L = AB = 16 cm,

L/2r = sin(θ/2)

taking sine inverse of both sides, we have

θ/2 = sin⁻¹(L/2r)

multiplying both sides by 2, we have

θ = 2sin⁻¹(L/2r)        

substituting the values of the variables, we have

θ = 2sin⁻¹[16/(2 × 8.94)]

θ = 2sin⁻¹[16/17.88]

θ = 2sin⁻¹[0.8949]

θ = 2 × 63.49°

θ = 126.98°

θ ≅ 127°

c. The area of a segment A is given by

A = (θπ/360 - sinθ)r²/2 where θ is the angle subtended by the segment and r = radius of the circle

since θ ≅ 127° and r = 4√5 cm, substituting these values into A, we have

A = (127°π/360 - sin127°)(4√5)²/2

A = (398.93/360 - 0.7988)40

A = (1.1081 - 0.7988)40

A = 0.3093 × 40

A = 12.372 cm²

A ≅ 12.37 cm²

5 0
3 years ago
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