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34kurt
3 years ago
13

There are 4 cards with a picture of a rose and 3 cards with a picture of a daisy. Fiji keeps all the cards face down on the tabl

e with the pictures hidden and mixes them up. She then turns over one card and finds the picture of a rose on it. She removes this card from the table and turns over another card without looking. What is the probability that the card that Fiji turns over has a rose on it? (5 points)
A. 3/6
B. 4/6
C. 4/7
D. 3/7
Mathematics
1 answer:
Rainbow [258]3 years ago
4 0

There are 4 cards with a picture of a rose and 3 cards with a picture of a daisy.

After one rose card is removed, the remaining cards are 3 cards with a picture of a rose and 3 cards with a picture of a daisy. A card is chosen at random,

the probability that the chosen card has rose on it is

\frac{3}{6} =\frac{1}{2}.

The correct choice is (A).

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Assume the speed of vehicles along a stretch of I-10 has an approximately normal distribution with a mean of 81 mph and a standa
Pachacha [2.7K]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: speed of a vehicle along a stretch of I-10 (mph)

This variable has a normal distribution with mean μ= 81 mph and a standard deviation σ= 8 mph.

The speed limit in the said stretch is 65 mph.

You need to calculate the probability of picking a car at random and its speed be at most 65 mph, symbolically:

P(X≤65)

To reach the probability, you need to use the standard normal distribution. To standardize the value fo X you have to subtract the value of μ and then divide it by σ:

P(Z≤(65-81)/8)= P(Z≤-2.00)

Now you look for the corresponding probability in the table of the standard normal distribution, since the value is negative you have to use the left entry. The integer and first decimal numbers are in the first column and the second decimal number is in the first row.

P(Z≤-2.00)= 0.0228

I hope it helps!

3 0
3 years ago
An invoice quotes a price of $620 subject to discounts of 30%, 15%, and 5%. What is the selling price? (Round off your answer to
Eddi Din [679]
Selling price=620(1-0.30)(1-0.15)(1-0.05)
selling price = 620(.7)(.85)(.95) = 350.46
8 0
3 years ago
How to rewite this x+4y=-4 in form y=mx+b
Alex
x+4y=-4\\
4y=-x-4\\
y=-\frac{1}{4}x-1
3 0
3 years ago
Read 2 more answers
Almost Pinejuice (y) costs one quarter as much as pineapple juice (p) does. What equation represents this statement?
galben [10]
The answer is D since 1/4 of the pineapple juice will give you the pinejuice
6 0
3 years ago
Read 2 more answers
Find the critical numbers of the function f(x) = x6(x − 1)5 what does the first derivative test tell you that the second derivat
patriot [66]
The given function is f(x) = x⁶(x-1)⁵

The first derivative is
f'(x) = 6x⁵(x-1)⁵ + 5x⁶(x-1)⁴
       = x⁵(x-1)⁴(6x - 6 + 5x)
       = x⁵(x-1)⁴(11x - 6)
The critical values are the zeros of f'(x). They are
x = 0, 6/11, and 1.
The critical values indicate that turning points exist for f(x) at the critical points. However, we do not know the nature of the turning points.

Write the first derivative in the form f'(x) = (x-1)⁴(11x⁶ - 6x⁵).
The second derivative is
f''(x) = 4(x-1)³(11x⁶ - 6x⁵) + (x-1)⁴(66x⁵ - 30x⁴)
        = (x-1)³(44x⁶ - 24x⁵ + 66x⁶ - 30x⁵ - 66x⁵ + 30x⁴)
        = (x-1)³(110x⁶ - 120x⁵ + 30x⁴)
        = 10x⁴(x-1)³(11x² - 12x + 3)
The sign of f''(x) at the critical values tell us the nature of the turning point.

f''(0) = 0, therefore a point of inflection exists at x = 0.
f''(6/11) > 0, therefore a local minumum exists at x = 6/11.
f''(1) = 0, therefore a point of inflection exists at x=1.

The graphs shown below confirm these results.

8 0
3 years ago
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