The census is a survey of the population that gathers various details about individuals, such as age. This survey observed
that 155 out of every 200 people were 18 years old or older, Determine the probability of randomly selecting a person that
was 18 years old or older,
Express your answer as a fraction,

Answer:

120°

Step-by-step explanation:

30° x 4 = 120°

Full turn is 360

half is 180

and 180 degree = 6 parts

180÷6=30

Answer:

y= -41

Slope= -1

Step-by-step explanation:

On the Y-axis put a point on -41. After you did that do down one unit and right one unit. Repeat this step below the Y-axis. Above the Y-axis you do the opposite. Go up one unit and left one unit. Repeat this step above the Y-axis. Hope you understood me :)

Answer:

Step-by-step explanation:

That line that separates the triangle vertically is an angle bisector. That creates a ratio between the resulting 2 triangles:

[tex]\frac{6}{3x-12} =\frac{14}{21}[/tex] and cross multiply:

14(3x - 12) = 21(6) and

42x - 168 = 126 and

42x = 294 and

x = 7

Answer:

0.0475

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

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

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In a large company, the proportion of employees who were promoted during the last year was 0.10.

This means that [tex]p = 0.1[/tex]

100 employees

This means that [tex]n = 100[/tex]

Mean and standard deviation:

[tex]\mu = E(X) = np = 100*0.1 = 10[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.1*0.9} = 3[/tex]

What is the probability that at least 15 of them were promoted during the last year?

This is [tex]P(X \geq 15)[/tex], which is 1 subtracted by the pvalue of Z when X = 15. So

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

[tex]Z = \frac{15 - 10}{3}[/tex]

[tex]Z = 1.67[/tex]

[tex]Z = 1.67[/tex] has a pvalue of 0.9525

1 - 0.9525 = 0.0475.

0.0475 is the answer.

Answer:hey besties

Step-by-step explanation:

Pew pew

Answer:

Top left

Step-by-step explanation:

It’s the only one with a data point very far from the rest

Answer:

its diff for all of is but it deff right

Step-by-step explanation:

k12 right

Answer:

$3,573.60

Step-by-step explanation:

.043 x (15300 - 10100) = 223.60

223.60 + 3350.00 = 3573.60

Answer: 8 x 24 divided by 2 and 8

Step-by-step explanation:

Answer:

middle and right pictures are correct answer

Step-by-step explanation:

answer attached

The Figure 2 and 3 shows that XY tangent to circle C.

Tangent is a line that touches the circle and passes through at a touching point.

Need to prove that xy is a tangent line on the circle.

The circle of radius r and center z.

Sine the tangent of the circle and radius of the circle meet at 90 degrees.

Hence, a right-angle triangle is formed so we can apply the Pythagoras theorem.

Here,

xz = 7 cm

xy = 10 cm

Then

10² = 7² + b²

b² = 100 - 49

b² = 51

Hence, the first one doesn't show the  XY tangent to circle C.

Similalry for the rest two figures,

When a segment is tangent to a circle, it is perpendicular to the radius.

Therefore, Figure 2 and 3 shows that XY tangent to circle C.

More about Tangent link is given below.

brainly.com/question/1503247

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Answer:

-3/4

Step-by-step explanation:

y2 - y1 divided by x2 - x1 so you would do 2 - (-1) divided by 1 - 5

simplified is

3 divided by -4 or just -3/4

Answer:

The vertex of the graph is at (0,12)

The direction the graph opens is upward.

Step-by-step explanation:

Answer:

The vertex is (0,12)

The graph opens in a upward direction

Step-by-step explanation:

I got this correct on my test, hope this helped

Answer:

A

Step-by-step explanation:

Given

P(t) = 60 [tex](3)^{\frac{t}{2} }[/tex]

Then

P(1) = 60 × [tex]3^{\frac{1}{2} }[/tex] = 60[tex]\sqrt{3}[/tex]

P(2) = 60 × 3 = 180

P(3) = 60 × [tex]3^{\frac{3}{2} }[/tex] = 60 ×[tex]\sqrt{3^{3} }[/tex] = 60 × 3[tex]\sqrt{3}[/tex] = 180[tex]\sqrt{3}[/tex]

P(4) = 60 × 3² = 60 × 9 = 540

P(5) = 60 × [tex]3^{\frac{5}{2} }[/tex] = 60 × [tex]\sqrt{3^{5} }[/tex] = 60 × 9[tex]\sqrt{3}[/tex] = 540[tex]\sqrt{3}[/tex]

P(6) = 60 × 3³ = 60 × 27 = 1620

From these 6 results we see that

P(3) = 3 × P(1)

P(4) = 3 × P(2)

P(5) = 3 × P(3)

P(6) = 3 × P(4)

The predicted number of organisms triples every 2 days → A

Answer:

60.5

Step-by-step explanation:

assuming that each small squares is 1 × 1

[tex]\frac{1}{2} \times base \times height\\\\\frac{1}{2} \times 11 \times 11\\ \\\frac{121}{2}\\\\60.5 unit ^2[/tex]

Answer:

Exact form: 1/2

Decimal form: 0.5

Step-by-step explanation:

Answer:

1/2 is the answer

Step-by-step explanation:

3/4 * 4/6

1/2

Answer:

Step-by-step explanation:

X-intercepts are: (-10,-5,0,5,10)

Y-intercepts are: (-32,-24,-16,-8,0)

Answer:

6

Step-by-step explanation:

8⅓% of 72

Change 8⅓% to an improper fraction, to get.

25/3% × 72

= (25/3)÷(100)×72

= (25/3)×(1/100)× 72

= (25/300) × 72

= 1800/300

= 6

The value of [tex]8\frac{1}{3}[/tex]% of 72 is 600.

Given that, [tex]8\frac{1}{3}[/tex]% of 72.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now, [tex]8\frac{1}{3}[/tex]% of 72

25/3 × 72

= 25 × 24

= 600

Therefore, the value of [tex]8\frac{1}{3}[/tex]% of 72 is 600.

To learn more about the percentage visit:

brainly.com/question/24159063.

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Step-by-step explanation:

[tex]x = 10 \\ \\ y = 10 \sqrt{2} \\ \\ \cos(45) = \frac{ \sqrt{2} }{2} [/tex]

Answer:

78%

Step-by-step explanation:

85 × 6 = 510

85 + 78 + 92 + 84 + 93 = 432

510 - 432 = 78

Check

85 + 78 + 92 + 84 + 93 + 78 = 510

510 ÷ 6 = 85

Step-by-step explanation:

We need to find the area of the shaded region. We see that the region next to that has a central angle of 120°. Also we know that angle in a straight line is 180° . So the measure of central angle of that shaded region will be 180° - 120° = 60° . Now we can use the formula of area of sector to find out the area of the shaded region.

[tex]\tt\to Area = \dfrac{\Theta}{360^o}\times \pi r^2 \\\\\tt\to Area = \dfrac{60^o}{360^o}\times \pi (8cm)^2 \\\\\tt\to Area =\dfrac{\pi \times 64}{6}cm^2\\\\\to\boxed{\orange{\tt Area_{(Shaded)}= 10.66\pi cm^2}}[/tex]

Answer:

2/5

Step-by-step explanation:

Answer:

95% confidence interval for the mean daily sugar intake of residents in Durham County using this data

(35.9573, 38.8427)

Lower limit = 35.9573

Step-by-step explanation:

Step(i):-

Given that the size of the sample 'n' = 35

Given that the mean of sample x⁻ = 37.4gms

Given that the standard deviation of the sample 'S' = 4.2 gms

Level of significance = 0.05

Degrees of freedom

γ = n-1 = 35-1 = 34

t₀.₀₅ = 2.0322

Step(ii):-

95% confidence interval for the mean daily sugar intake of residents in Durham County using this data

[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} } )[/tex]

[tex](37.4 - 2.0322 \frac{4.2}{\sqrt{35} } , 37.4 + 2.0322 \frac{4.2}{\sqrt{35} } )[/tex]

(37.4 - 1.4427 , 37.4+1.4427)

(35.9573, 38.8427)

Final answer:-

Lower 95% confidence interval for the mean daily sugar intake of residents in Durham County using this data

Lower limit = 35.9573

Answer:

2x+10

Step-by-step explanation:

whatever your number is (x) you would multiply by 2 then add that to 10

Hi, check the comment.  It is the answer.  I wrote my own comment and rated myself 1.0 for no reason lol!! (Oh mah gawd I was joking this is not the answer, do NOT take this as your answer!