may's dog weighed 16kg. the dog lost 800g after it fell ill.

The z-test compares the two sample to determine the existence of a

difference in the two proportion.

Reasons:

The given parameter are;

Number of women, n₁ = 120 women

Number of men, n₂ = 150 men

The population size = 150,000

Percentage of women that are smokers in population, [tex]\hat p_1[/tex] = 25%

Percentage of men that are smokers in population, [tex]\hat p_2[/tex] = 37%

The Z statistic is given as follows;

[tex]\displaystyle Z= \mathbf{\frac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\frac{1}{n_{1}}+\frac{1}{n_{2}} \right )}}}[/tex]

Number of men = 0.37 × 150 = 55.5

Number of women = 0.25 × 120 = 30

[tex]\displaystyle \hat p = \frac{55.5 + 30}{150 + 120} = \frac{19}{60}[/tex]

Which gives;

[tex]\displaystyle Z=\frac{0.25-0.37}{\sqrt{\frac{19}{60} (1-\frac{19}{60} )\left (\frac{1}{120}+\frac{1}{150} \right )}} \approx -2.106[/tex]

The Z-statistic is approximately -2.106

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Answer:

28.35 each adult

Step-by-step explanation:

Answer 2nd one

Step-by-step explanation:

Answer:

Step-by-step explanation:

x⁴ + x² - 20

(x² + 5)(x² - 4)

(x² + 5)(x - 2)(x + 2)

The required factor of the given expression is given as (x² + 5)(x - 2)(x + 2).

Given that,
To determine the factor of the expression, x⁴ + x² - 20.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,
Given expression,
= x⁴ + x² - 20
= x⁴ + 5x² - 4x² - 20
= x²[x² + 5] - 4 [x² + 5]
= [x² + 5][x²- 4]
Since (a² - b²) = (a + b)(a - b)
= (x² + 5)(x - 2)(x + 2)

Thus, the required factor of the given expression is given as (x² + 5)(x - 2)(x + 2).

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Answer:

Left 3 down 4

Step-by-step explanation:

I'm not sure how to explain it, but I can give advice. A site that really helped me with this was Desmos Graphing Calculator.

Answer:

Step-by-step explanation:

The ratio of corresponding sides is same for similar triangles:

Correct choice is D

Answer:

If they are the same integer, then the answer is always positive. However, if the integer are different, the answer is negative.

40%

6/15 is 0.4. Multiplied by 100, that makes 40%.

Answer:

a

Step-by-step explanation:

3/4 x - 3 = -18

You should try to get all of one term on one side of the equation, and have the constant on the other side so the next step would be easy.

Here are the steps after you add 3:

3/4 x = -15

x = -5/4 (divide by 3/4 on both sides)

Answer is in the screenshot:

Answer:

10

Step-by-step explanation:

The value of P(x<6) is 1/2.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

The numbers 0,1,2,3,4,5,6,7,8,9 is written on a piece of paper in a jar.

So, P(x<6)

= P(x=5)+ P(x = 4)+ P(x=3) + P(x=2) + P(x=1)

= 1/10 + 1/10+ 1/10 + 1/10 + 1/10

= 5/10

= 1/2

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4.5 g 56.25 g Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So 150 g * 3% = 150 g * 0.03 = 4.5g For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution. First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution: 3/8 * 150 g = 56.35 g Or calculate it from scratch, like 4.5/X = 8/100 450/X = 8 450 = 8X 56.25 = X In both cases, the result is that you desire 56.25 grams of 8% solution.

Answer:

y=3/5x+3

Step-by-step explanation:

3 is the y-intercept so that is the "b". To find the slope simply use rise/run.

Answer:

the answer is 2/27 or 0.074

Answer:

The answer is A

Step-by-step explanation:

0.2% of 500 is 1 so in two year she would have 502$

Answer:

There's not enough information to answer the question.

Step-by-step explanation:

The question says that out of 84 kids, 3/7 bought their lunches. Then it asks how many of the 3/7 got pizza without providing a number of those who bought a different food. And so, there's not enough information to solve this question.

Answer:

True

Step-by-step explanation:

Since m<1 and m<7 is equal to m<3 and m<5, therefore m<1 is also equal to m<5

Answer:

34 will go in the middle of the two, 80 is everybody who voted, end 64 is the people that own the dog. No people on the cat

Step-by-step explanation:

there

Answer:

It's the 3rd option

Step-by-step explanation:

A function cannot have one value of 5 associated to more than one value on y

Answer:

Drayven has more

Step-by-step explanation:

If you look at the fractions through a drawing you would see that my claim is correct.

Answer:

Step-by-step explanation:

c = children

a = adults

2200 people enter the zoo mean :

c + a = 2200

$4,550.00 is collected mean :

1.5 c + 4 a = 4550

Now you must solve system:

c + a = 2200

1.5 c + 4 a = 4550

c + a = 2200 Subtract c to both sides

c + a - c = 2200 - c

a = 2200 - c

1.5 c + 4 a = 4550

1.5 c + 4 ( 2200 - c ) = 4550

1.5 * c + 4 * 2200 - 4 c = 4550

1.5 * c + 8800 - 4 c = 4550

- 2.5 c + 8800 = 4550 Subtract 8800 to both sides

- 2.5 c + 8800 - 8800 = 4550 - 8800

- 2.5 c = - 4250 Divide both sides by - 2.5

c = - 4250 / - 2.5

c = 1700

a = 2200 - c = 2200 - 1700 = 500

1700 children and 500 adults

Proof :

c + a = 1700 = 2200

$ 1.5 * c + $ 4 * a =

$ 1.5 * 1700 + $ 4 * 500 =

$ 2550 + $ 2000 = $ 4550

The number of children and the number of adults are 1600 and 800, respectively.

The allocation of weights to the relevant variables that produce the calculation's optimum is referred to as a direct consequence.

A nearby zoo charges $1.50 for kids and $3.00 for adults to enter. 2400 persons visit the zoo on a certain day, and $4,800.00 is gathered.

Let x be the number of children and y be the number of adults. Then the equation is written as,

x + y = 2400           ...1

1.5x + 3y = 4800

x + 2y = 3200    ...2

Subtract equation 1 from equation 1, then

2y - y = 3200 - 2400

y = 800

Then the value of x is calculated as,

x + 800 = 2400

x = 2400 - 800

x = 1600

The number of children and the number of adults are 1600 and 800, respectively.

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Answer:

yes!

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

correct me if im wrong(┬┬﹏┬┬)

Answer:

THX for points XD

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]d(t)=(t^2+3)e^\frac{-1}{2} \\d'(t)=2t e^{-\frac{1}{2} }\\it~ is~ increasing ~if~d'(t)>0\\e^{-\frac{1}{2} } =\frac{1}{e^\frac{1}{2} } >0\\so~t>0\\and~decreasing~if~t<0\\[/tex]

so it is concave upward at t=0

Answer:

  1330.5 cm³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h . . . . . for radius r and height h

The radius of the given cylinder is 1/2(11 cm) = 5.5 cm. Filling in the formula values, we have ...

  V = π(5.5 cm)²(14 cm) = 423.5π cm³ ≈ 1330.5 cm³

The volume of the cylinder is about 1330.5 cm³.

Answer:

1330.5

Step-by-step explanation:

Radius is half of diameter (11), so 5.5 was the other number I plugged in.

Answer:

3m-8/7m+14

Step-by-step explanation:

Answer:

y=6x×2/4

x=7

thanks for the points