£ represents a group of 30 people that visited paris for a weekend break. 13 of the group visited the eiffel tower (ET) 16 of the group visited the no tre-dame cathedral (NDC) 7 of the group did not visit either of these places a person is chosen at random from the group. what is the probability that this person only visited one of the two places?

Answer:

c

Step-by-step explanation:

The area of hexagon base of hexagonal pyramid is option (A) 374.12 square inches.

A pyramid with a hexagonal base upon which are erected six isosceles triangular faces that meet at a point. All sides are equal, the angles between the sides are 120 degrees.

For the given situation,

The base of the hexagon, a = 12 in

The formula of the area of hexagon base is

[tex]A=\frac{3\sqrt{3}(a)^{2} }{2}[/tex]

On substituting the above values,

⇒ [tex]A=\frac{3\sqrt{3}(12)^{2} }{2}[/tex]

⇒ [tex]A=\frac{3\sqrt{3}(144 )}{2}[/tex]

⇒ [tex]A=374.12[/tex]

Hence we can conclude that the area of hexagon base of hexagonal pyramid is option (A) 374.12 square inches.

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The null hypothesis is that 51.5% of newborn babies are boys, and the alternative hypothesis is that the percentage is different from 51.5%. The test statistic, used to decide whether to reject or fail to reject the null hypothesis, is calculated using the observed percentage of boys and the sample size.

The question is about testing a hypothesis about the proportion of boys born (51.5%). For this, we set our null and alternative hypotheses. The null hypothesis (H0) being tested here is that the true proportion of boys is 51.5% (p = 0.515), while the alternative hypothesis (H1) is that the proportion of boys is not 51.5% (p ≠ 0.515). The correct choice here would be A: Upper H0: p=0.515, Upper H1: p ≠ 0.515.

To calculate the test statistic, we would use the formula [(p' - p) / sqrt[(p(1 - p) / n]], where p' is the observed proportion in our sample (434 boys out of 850 births or 0.51), p is the claimed proportion (0.515), and n is the sample size (850). After calculating this, you would compare it to a critical value associated with the 0.10 significance level to decide whether to reject or fail to reject the null hypothesis.

Without the specific calculations, I can't tell you what your final test statistic will be, but this should guide you in the right direction.

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The null and alternative hypotheses are H₀: p = 0.515 and H₁: p ≠ 0.515. The test statistic for this hypothesis test is the z-score.

The null and alternative hypotheses for this test are:

The test statistic for this hypothesis test is the z-score. To calculate the z-score, you can use the formula:
z = (p' - p₀) / sqrt((p₀ * (1 - p₀)) / n)

Substituting the given values:
z = (434/850 - 0.515) / sqrt((0.515 * (1 - 0.515)) / 850)

Calculating the z-score, we can compare it to the critical value(s) from the standard normal distribution to make a conclusion about the null hypothesis.

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Answer:

x = sine 70° / 8

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

On average she delivers about 14 meals per hour

If you divide 56 by 4 you get 14 ^

Then if you multiply 14 by 7 you get 98

Answer:

1/3,1/6,1/4

Step-by-step explanation:

atlantic and ontario do not compare

the others do

Answer:

7

Step-by-step explanation:

yidtkddkyoufofytidtsitdydiyof

Answer:

A. y = 3x + 1

Step-by-step explanation:

Slope-intercept form y = mx + b

m = slope

b = y - intercept

Answer:

D. 1/5 + 1/20 + 1/80 + 1/320

Step-by-step explanation:

Edge

Option D.)  1/5 + 1/20 + 1/80 + 1/320 is correct    

Geometric progression is kind of progression that the ratio to the adjacent values always same.

ratio in every option is not same except option D. 1/5 + 1/20 + 1/80 + 1/320
i.e. (1/5)/(1/20) = (1/80)/(1/20)

Thus the Option D.)  1/5 + 1/20 + 1/80 + 1/320 is correct                                                                                              

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Answer:

It's C. 8

I  took the edge test.

Answer:

C. 8

Step-by-step explanation:

Edge 2021

Answer:

C. 3.25

Step-by-step explanation:

A was wrong I seen the real answer which was C

Answer:

104°

Step-by-step explanation:

a straight line is 180°, so subtract angle ROP(76°) from it to get angle SOP

Answer:

J=1607.77cm

Step-by-step explanation:

Answer:

1608

Step-by-step explanation:

Answer:

Option 3

Step-by-step explanation:

Answer:

From my understanding the answer is supposed to be 6.. but since that's not an option I think it's option 4.

Step-by-step explanation:

Answer:

choice D.) 0.9429

Step-by-step explanation:

Given a Normal data set

mean u = 54

standard deviation s = 3.8

we want P( X > 48)

Standardize this probability so we can use Z-scores.

P( X > 48) = P( (X - u)/s > (48 - 54)/3.8 ) = P(Z >  -1.5789)

so  I look for P ( Z > 1.5789) = 0.0571

so  P(Z > -1.5789) = 1 - P(Z > 1.5789) = 1 - 0.0571 = 0.9429

Answer:

The correct answer is B.

We have been given that Willy has compounded monthly to invest his summer earnings of $4259 in the  Rock Solid Bank. The bank is offering 6%. We are asked to find the amount of money will be after 5 years.

We will use compound interest formula to solve our given problem.

[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where,

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year.

t = Time in years.

[tex]6\%=\frac{6}{100}=0.06[/tex]

Since interest is compounded monthly, so [tex]n=12[/tex] and [tex]P=4259[/tex].

[tex]A=\$4259(1+\frac{0.06}{12})^{12\cdot 5}[/tex]

[tex]A=\$4259(1+0.005)^{60}[/tex]

[tex]A=\$4259(1.005)^{60}[/tex]

[tex]A=\$4259(1.3488501525493161)[/tex]

[tex]A=\$5744.752799707\approx \$5744.75[/tex]

Therefore, Will will have approximately [tex]\$5744.75[/tex] in 5 years.

Answer:

35

Step-by-step explanation:

The origin is (0,0). To get to it from (-25,10) you would add 25 which would get you to (0,10,). Then you subtract 10 to get you to the origin. 10+25=35

its 1/3 of the length of its body

Answer:

Whales head

Step-by-step explanation:

1/3

Answer:

x = 5.6 i guess

Step-by-step explanation:

use cos 45 = x/8

maybe

Answer:

(x+5)(x-3) = x^2+2x-15

Step-by-step explanation:

since there is a -15 at the end and a +2x in the center, you want two factors of 15 which differ by 2. Those are 5 and 3. Now, you want one + and one -, so +5-3 = +2

Answer:

[tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]

Step-by-step explanation:

Since [tex]\sqrt[3]{x^5} = x^\frac{5}{3}[/tex], the solution is [tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]

Step-by-step explanation:

Step 1:  Find the equivalent expression

[tex]\sqrt[3]{x^5y}[/tex]

[tex]\sqrt[3]{x^5} * \sqrt[3]{y}[/tex]

[tex]x^\frac{5}{3}*y^\frac{1}{3}[/tex]

[tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]

Answer:  Option B

Answer:

It'll take approximately 9.1 minutes

Step-by-step explanation:

The decay of this element can be modeled by the following expression:

m(t) = 540*(1 - 0.179)^t

Where m is the mass of the element in a given minute t. This expression comes from a compounded interest formula, with negative rate, since they will work in the same manner. Therefore to find how long until it reaches 90 g, we need to make m = 90 and solve for t.

90 = 540*(0.821)^t

(0.821)^t = 90 / 540

(0.821)^t = 1/6

ln(0.821^t) = ln(1/6)

t*ln(0.821) = ln(1) - ln(6)

t*ln(0.821) = - ln(6)

t = -ln(6)/ln(0.821) = 9.08452

It'll take approximately 9.1 minutes

Answer:the correct answer is 9

Step-by-step explanation:

Answer:

a) BC = 8.66 feet

b) AD = 21.2134 feet

c) EC = 25.9785 feet

Step-by-step explanation:

a)

To find the length of BC, we just need to use the tangent relation of the angle ABC, where the opposite side is the length of AC and the adjacent side is the length of BC:

tangent(60) = AC / BC

1.7321 = 15 / BC

BC = 15 / 1.7321 = 8.66 feet

b)

To find the length of AD, we just need to use the sine relation of the angle ADC, where the opposite side is the length of AC and the hypotenusa is the length of AD:

sine(45) = AC / AD

0.7071 = 15 / AD

AD = 15 / 0.7071 = 21.2134 feet

c)

Similarly to the procedure in letter a), to find the length of EC, we just need to use the tangent relation of the angle AEC, where the opposite side is the length of AC and the adjacent side is the length of EC:

tangent(30) = AC / EC

0.5774 = 15 / EC

EC = 15 / 0.5774 = 25.9785 feet

Step-by-step explanation:

We have,

Circumference of a circle is 100 π.

Formula for circumference is :

[tex]C=2\pi r[/tex]

r is radius of circle

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{100\pi }{2\pi}\\\\r=50\ \text{units}[/tex]

Formula for area of circle is :

[tex]A=\pi r^2\\\\A=\pi (50)^2\\A=2500\pi\ \text{units}^2[/tex]

the area of the circle is 2500π square units.

To find the area of a circle when given the circumference, we must first determine the radius of the circle. The formula for the circumference of a circle is C = 2 π r, where C is the circumference and r is the radius. In this case, the circumference is 100 π units.

Substitute the radius (50 units) into the area formula:

Answer:

-50-4, -27×2, 54×-1

Step-by-step explanation:

Answer:

Step-by-step explanation:

If all faces are equilateral, and they are all congruent, that means the surface area of the pyramid is formed by 4 equal triangles, including the base.

We just need to find the area of one triangle and then multiply it by 4.

According to the image, the height of a triangle face is [tex]h=7.8 \ ft[/tex], and its base is [tex]b=9 \ ft[/tex]. So, the area is

[tex]A=\frac{1}{2} (b \times h)[/tex]

[tex]A=\frac{1}{2}(7.8 \times 9) =35.1 \ ft^{2}[/tex]

Then, the total surface area of the pyramid is

[tex]S=4(35.1)=140.4 \ ft^{2}[/tex]

Therefore, the right answer is B. 140.4 square feet.