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4 years ago

Four cards are drawn from a standard deck. Cards are not returned. Which is more likely:

1 answer:

3 0

Probability = # of positive events / # of all possible events

As the event B restricts the number of consecutive cards that result in a positive outcome (only consecutive face cards), it means that the numerador of the formula to find the probability is smaller, while the denominator remains unchanged.

That means that the probabilty calculated for the event A is greater than the probability of the event B.

So, the answer is that the event A is more likely than event B.

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For any ratio, the second quantity in the ratio by the ratio value to get the first quantity.

Simora [160]

Multiply the second quantity by the ratio and you will get the first quantity

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4 years ago

When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: randomly select and test 5858

Andreyy89

We use the binomial distribution:
$P _{a}= \sum^c_d_=_0 \frac{n!}{d!(n-d)!} p^d (1-p)^n^-^d$
In this formula, c is the acceptable number of defectives; n is the sample size; p is the fraction of defectives in the population. Our c is 2; n is 58; and p is 0.11. Once we evaluate that summation, we get 0.0388. This has a 3.88% chance of being accepted. Since this is such a low chance, we can expect many of the shipments like this to be rejected.

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3 years ago

Evaluate the function g(t)=23t, when t = 30.

Mademuasel [1]

The best answer would be be C.20

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3 years ago

Heather left the hospital and drove toward the desert at an average speed of 35 km/h. Danielle left sometime later driving in th

elena55 [62]

Answer:

Danielle drove 3 hours

Step-by-step explanation:

Suppose Heather moved in the x direction.

Then Danielle moved in the opposite direction, that is, she moved in the -x direction.

Let's call $V_1$ , $x_1$ , $t_1$ at the speed, distance and time that I code Heather

Let's call $V_2$ , $x_2$ , $t_2$ at the speed, distance and time Danielle codes.

Observe the following diagram:

(x) Heather <------ $x_1$ --------- hospital ---------- $x_2$ -----------> Danielle (-x)

So:

$V_1 = 35\ km/h$

$t_1 = 4\ h$

$V_2 = 50\ km/h$

We know that after 4 hours the distance between Heather and Danielle was 290 km.

That is to say:

$x_2 + x_1 = 290\ km/h$

We know that $x_1= v_1t_1$

$x_1 = 35(4)$

$x_1 = 140\ km$

We already know $x_1$ , the distance from the hospital to Heather, so we can find $x_2$ and thus know $t_2$

So:

$x_2 = 290 - 140\\\\x_2 = 150\ km$

Then:

$t_2 = \frac{x_2}{v_2}\\\\t_2 = \frac{150}{50}\\\\t_2 = 3\ h$

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3 years ago

Graph the function f(x)=4x^2+ 3x - 1

Marizza181 [45]

Step-by-step explanation:

The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph. The graph is also symmetric with a vertical line drawn through the vertex, called the axis of symmetry.

Graph of a parabola showing where the x and y intercepts, vertex, and axis of symmetry are.

The

-intercept is the point at which the parabola crosses the

-axis. The

-intercepts are the points at which the parabola crosses the

-axis. If they exist, the

-intercepts represent the zeros, or roots, of the quadratic function, the values of

at which

4 0

3 years ago