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lozanna [386]
2 years ago
14

On a trip to Washington, D.C., you and your friend are standing next to the Washington Monument. Your friend wants to buy a guid

e book to find out how tall the Washington Monument is, but will use the money to buy a snack to share instead if you can figure it out. If you know your own height, what two additional measurements must you know to solve the problem?(1 point)
the length of the shadow cast by the Washington Monument and the length of the shadow cast by the Lincoln Memorial

the length of your shadow and the length of your friend’s shadow

the length of your shadow and the length of the shadow cast by the Washington Monument

the length of your friend’s shadow and the length of the shadow cast by the Washington Monument

If a 30-foot tree casts an 18-foot shadow, find the length of the shadow cast by a 24-foot tree. (1 point)

14.4 feet

432 feet

22.5 feet

40 feet

In △ABC, m∠A=42°, m∠B=50°, AB=4, and AC=3. In △XYZ, m∠X=42°, m∠Z=88°, XY=14, and YZ=9.5. Find the measures of BC¯¯¯¯¯¯¯¯ and XZ¯¯¯¯¯¯¯¯. Round to one decimal place.(1 point)

BC=2, XZ=7.1

BC=2, XZ=10.5

BC=2.7, XZ=7.1

BC=2.7, XZ=10.5
Mathematics
2 answers:
Alekssandra [29.7K]2 years ago
8 0

Answer:

1) the length of your shadow and the length of the shadow cast by the Washington Monument

2) 14.4 feet

3) BC=2.7, XZ=10.5

Step-by-step explanation:

just too the quiz

salantis [7]2 years ago
8 0

Answer:

1: The length of your shadow and the length of the shadow cast by the Washington Monument

2: 14.4

3: Yes, the triangles are similar.

/\ PSQ~/\RST

4: The solution for the value of x is incorrect because the proportion does use the ratios of corresponding sides

5:

Step-by-step explanation:

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meriva

Answer:

1f 2×4 -3׳ 12k is divided by × - 3 the remainder is 21 find the value of k

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3 years ago
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A standard number cube is tossed. Find the following probability. ​P(greater than 4 or odd​)
lorasvet [3.4K]
A standard cube has 6 possible outcomes. But since we want to find P(4+ or odd), the outcomes become more narrow.
So:
6 outcomes -> 1, 2, 3, 4, 5, 6

But we want to find 4+
So:
4+ = 4, 5, 6

We also want to find all odd possibilities.
So:
odd = 1, 3, 5

As you can see, there is a 5 in both the 4+ and the odd numbers so 5 will only be counted once.
P(4+ or odd) = 1, 3, 4, 5, 6

So the probability of having an outcome that is P(4+ or odd) is:
5/6 or 0.8333 or 83.33%

Hope I helped!
8 0
3 years ago
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Psychologist Michael Cunningham conducted a survey of university women to see whether, upon graduation, they would prefer to mar
bagirrra123 [75]

Answer:

A.The probability that exactly six of Nate's dates are women who prefer surgeons is 0.183.

B. The probability that at least 10 of Nate's dates are women who prefer surgeons is 0.0713.

C. The expected value of X is 6.75, and the standard deviation of X is 2.17.

Step-by-step explanation:

The appropiate distribution to us in this model is the binomial distribution, as there is a sample size of n=25 "trials" with probability p=0.25 of success.

With these parameters, the probability that exactly k dates are women who prefer surgeons can be calculated as:

P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{25}{k} 0.25^{k} 0.75^{25-k}\\\\\\

A. P(x=6)

P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.00024*0.00423=0.183\\\\\\

B. P(x≥10)

P(x\geq10)=1-P(x

P(x=0) = \dbinom{25}{0} p^{0}(1-p)^{25}=1*1*0.0008=0.0008\\\\\\P(x=1) = \dbinom{25}{1} p^{1}(1-p)^{24}=25*0.25*0.001=0.0063\\\\\\P(x=2) = \dbinom{25}{2} p^{2}(1-p)^{23}=300*0.0625*0.0013=0.0251\\\\\\P(x=3) = \dbinom{25}{3} p^{3}(1-p)^{22}=2300*0.0156*0.0018=0.0641\\\\\\P(x=4) = \dbinom{25}{4} p^{4}(1-p)^{21}=12650*0.0039*0.0024=0.1175\\\\\\P(x=5) = \dbinom{25}{5} p^{5}(1-p)^{20}=53130*0.001*0.0032=0.1645\\\\\\P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.0002*0.0042=0.1828\\\\\\

P(x=7) = \dbinom{25}{7} p^{7}(1-p)^{18}=480700*0.000061*0.005638=0.1654\\\\\\P(x=8) = \dbinom{25}{8} p^{8}(1-p)^{17}=1081575*0.000015*0.007517=0.1241\\\\\\P(x=9) = \dbinom{25}{9} p^{9}(1-p)^{16}=2042975*0.000004*0.010023=0.0781\\\\\\

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C. The expected value (mean) and standard deviation of this binomial distribution can be calculated as:

E(x)=\mu=n\cdot p=25\cdot 0.25=6.25\\\\\sigma=\sqrt{np(1-p)}=\sqrt{25\cdot 0.25\cdot 0.75}=\sqrt{4.69}\approx2.17

4 0
3 years ago
HOW TO DO THIS QUESTION ​
sdas [7]

Answer:

A ≈ 40.3 cm²

Step-by-step explanation:

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Here A = 50.5, b = CD and h = AC , then

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7 AC = 50.5 ( divide both sides by 7 )

AC ≈ 7.214

The area of Δ ABC is calculated as

A = \frac{1}{2} × BC × AC × sin36°

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2 years ago
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lawyer [7]

Answer: 1.13

Step-by-step explanation: 0.62-(-0.51) = 1.13

Hope it works

3 0
3 years ago
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