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chubhunter [2.5K]
3 years ago
9

An opinion poll asked a random sample of adults whether they believe flu shots are ineffective in the United States. A commentat

or believes less than 35% of all adults believe they are ineffective. Which null and alternative hypotheses should be used to test this claim? H0: p ≠ 0.35, Ha: p 0.35

Mathematics
1 answer:
s2008m [1.1K]3 years ago
6 0

Complete Question

The complete question is shown on the first uploaded image

Answer:

The second option is the correct option

Step-by-step explanation:

From  the question we are told that

    The  sample  proportion is  \r p  = 0.35

The  Null Hypothesis is  H_o  :  \r p  = 0.35

The reason for this is that the this original claim when represented mathematically does not contain an equality sign (i.e  \ it \ is \ mathematically \  represented \  as \  \r  p  < 0.35)  so the null hypothesis is the compliment of it ( i.e  \r p  =  0.35)

The  Alternative hypothesis is  H_a : \r   p <  0.35

You might be interested in
Milan runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
jarptica [38.1K]

Answer: 4.8 miles

Step-by-step explanation:

6/55 = x/44

55x = 6(44)

55x = 264

x = 264/55 = 4.8 miles

3 0
3 years ago
Each flower has a specific price. One tulip, one daisy, and 2 mums cost $4.20. On tulip, two daisies and one mum cost $3.80. Two
sineoko [7]

Answer:

The answer to your question is $5.60

Step-by-step explanation:

    1 tulip + 1 daisy + 2 mums = $4.20           (1)

    1 tulip + 2 daisies + 1 mum = $ 3.80         (2)

    2 tulips + 2 mums = $4.80                        (3)

    1 tulip + 3 daisies + 2 mums = ?

tulip = t      daisy = d      mum = m

Process

1.- Find the price of each flower using system of equations

    Solve equation 3 for tulip

     2t = 4.80 - 2 m     divide by 2                            (4)

     t = 2.40 - 1m

2.- Substitute equation 4 in equation 1 and 2

    (2.4 - 1m) + 1 d + 2 m = 4.2

    (2.4 - 1m) + 2d + 1 m = 3.8

3.- Simplify and solve for each flower

     2.4 - 1m + 1d + 2m = 4.2

      1d + 1m = 4.2 - 2.4

      1d + 1m = 1.8                   Equation (5)

     2.4 - 1m + 2d + 1m = 3.8

     2d = 3.8 - 2.4

     2d = 1.4

     d = 1.4/2

     1d = 0.7

4.-  Substitue d in equation 5

     1(0.7) + 1m = 1.8

     0.7 + 1m = 1.8

     1m = 1.8 - 0.7

      1m = 1.1

5.- Subtitute m in equation 4

     1t = 2.40 - 1(1.1)

     1t = 2.40 - 1.1

      1t = 1.3

6.- Result

     1 tulip + 3 daisies + 2 mums cost = 1.3 + 3(0.7) + 2(1.1)

                                                            = 1.3 + 2.1 + 2.2

                                                            = $5.6

8 0
3 years ago
Reason Can you subtract a positive integer from a positive integer
Afina-wow [57]

Answer:

No

Step-by-step explanation:

No matter the situation, when you multiply a negative by a negativeyou get a positive and a positive by a positive you get a positive. but if its two different like a negative and a positive then its NEGITIVE.

let's say you have 23 and you're multiplying by 2.

It's always increasing so it doesnt ever reach the negitive numbers.

6 0
3 years ago
How do you write y=-4x^2-16x-14 in vertex form??
GREYUIT [131]

y= -4x² - 16x - 14


Take the coefficient of x² as the common factor

y = - 4(x² + 4x + 7/2)


Add (b/2)² to complete the square

y = - 4( x² + 4x + 2² - 2² + 7/2)


Complete the square

y = -4( (x + 2)² - 1/2)


Remove the bracket

y = -4(x + 2)² + 2


Answer: y = -4(x + 2)² + 2

8 0
3 years ago
Read 2 more answers
Question 1: The water level in a tank can be modeled by the function h(t)=4cos(+)+10, where t is the number of hours
Amanda [17]

Answer:

Question 1: The hours that will pass between two consecutive times, when the water is at its maximum height is π hours

Question 2: Sin of the angle is -0.8

Step-by-step explanation:

Question 1: Here we have h(t) = 4·cos(t) + 10

The maximum water level can be found by differentiating h(t) and equating the result to zero as follows;

\frac{\mathrm{d}  h(t)}{\mathrm{d} t} = \frac{\mathrm{d} \left (4cos(t) + 10  \right )}{\mathrm{d} t} = 0

\frac{\mathrm{d}  h(t)}{\mathrm{d} t} = - 4 \times sin(t) = 0

∴ sin(t) = 0

t = 0, π, 2π

Therefore, the hours that will pass between two consecutive times, when the water is at its maximum height = π hours.

Question 2:

B = (3, -4)

Equation of circle = x² + y² = 25

Here we have

Distance moved along x coordinate = 3

Distance moved along y coordinate = -4

Therefore, we have;

Tan \theta = \frac{Distance \ moved \ along \ y \ coordinate}{Distance \ moved \ along \ x \ coordinate} = \frac{-4}{3}

\therefore \theta = Tan^{-1}(\frac{-4}{3}) = -53.13^{\circ}

Sinθ = sin(-53.13) = -0.799≈ -0.8.

5 0
2 years ago
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