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Ivahew [28]
3 years ago
9

Select one card from two cards, one colored red, one colored blue. replace the card and repeat the experiment. what is the proba

bility of selecting a blue card each time?
Mathematics
1 answer:
elena55 [62]3 years ago
4 0
The probability of picking the blue card is 1/2 each time.

The probability of picking it BOTH times is

(1/2)•(1/2) = 1/4. (25%)
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Given: ∆ABC –iso. ∆, m∠BAC = 120°
lidiya [134]

Answer: P\triangle ADH = (a+b+\sqrt{a^2+b^2} ) unit

Step-by-step explanation:

Since Here Δ ABC is a isosceles triangle.

Also, AH\perp BC and HD\perp AC

Thus, ∠ ADH = 90°

That is, Δ ADH is the right angle triangle.

In which, AD = a unit and HD = b unit

And, By the definition of Pythagoras theorem,

AH^2 = HD^2 + AD^2

⇒ AH^2 = a^2 +b^2

⇒ AH = \sqrt{a^2+b^2}

Since, the perimeter of a triangle = sum of the all sides of the triangle.

Therefore, perimeter of ΔADH = AD + DH + AH

= a + b + \sqrt{a^2+b^2} unit

4 0
3 years ago
PLZ HELP, DUE TONIGHT!! Find the values of a and b such that f(x) is continuous at x=1
Sedaia [141]

Answer:

  • a = 2, b = -4

Step-by-step explanation:

<u>To make the given piecewise function continuous we need:</u>

  • ax² - b = 6 and 5ax + b = 6 at x = 1

<u>It gives us the system:</u>

  • a(1²) - b = 6 ⇒ a - b = 6
  • 5a(1) + b = 6 ⇒ 5a + b = 6

<u>Sum of the two:</u>

  • a - b + 5a + b = 6 + 6
  • 6a = 12
  • a = 2

<u>Then b is:</u>

  • 2 - b = 6
  • b = -4
6 0
3 years ago
Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women w
VikaD [51]

Since the p - value is less than significance level . So, we will accept the null hypothesis.

​(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.

Definition of null hypothesis : The null hypothesis attempts to show that no variation exists between variables or that a single variable is no different than its mean. it is denoted

Alternative Hypothesis : In statistical hypothesis testing, the alternative hypothesis is a position that states something is happening, a new theory is true instead of an old one (null hypothesis).

We are given that The mean height of women 20 years of age or older was 63.7 inches.

So, null hypothesis :  H₀ : μ = 63.7

Alternative Hypothesis :  H₁ : μ > 63.7

b)The​ P-value for this test is 0.06.

The p-value represents the probability of getting a sample mean height of 20 years old women is  64.1 inches.

c) Write a conclusion for this hypothesis test assuming an alpha equals 0.10 level of significance.

p- value = 0.06

Since the p - value is less .

So, we will accept the null hypothesis

So,  

Hence The mean height is 63.7 inches

To learn more about hypothesis testing from the given link

brainly.com/question/12976831

#SPJ4

7 0
1 year ago
Find 3/10 of 5/9 in simplest form
Paladinen [302]

Answer:

1/6

Step-by-step explanation:

5 0
3 years ago
Beth walks 2 blocks in 15 minutes. How many blocks would Beth walk if she walked at the same rate for an hour? Explain your reas
padilas [110]
15*4= 60, meaning a full hour.
15 minutes = 2 blocks
15 minutes = 2 blocks
15 minutes = 2 blocks
15 minutes = 2 blocks
add them all up and u see in 60 minutes (an hour) Beth walked 8 blocks.




4 0
3 years ago
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