Ask question

Ask question

All categories

2 years ago

10

Anna tossed 3 coins in the air. What is the probability that exactly 2 of the coins show heads? Look back at all of the possible

outcomes from #2 and use that to find your probability. Write the probability as a fraction. Simplify, if needed.
(Exactly means only 2 heads, no more than or no less than)

1 answer:

hram777 [196]2 years ago

5 0

2/3 would be heads because it’s out of 3 coins

You might be interested in

The cone and cylinder below have equal surface area

marissa [1.9K]

Answer:

Option B, False

Step-by-step explanation:

<u>Step 1: Get the surface area formulas for both shapes</u>

Surface Area Formula for Cone: $A = \pi * r(r + \sqrt{h^{2} + r^{2}})$

Surface Area Formula for Cylinder: $A = 2\pi rh+2\pi r^{2}$

<u>Step 2: Plug in the values and solve</u>

Cone: $A = \pi * r(r + \sqrt{(3r)^{2} + r^{2}})$

Cone: $A = \pi r^{2} + \pi \sqrt{10}r^{2}$

Cylinder: $A = 2\pi r*r+2\pi r^{2}$

Cylinder: $A=4 \pi r^{2}$

<u>Step 3: Compare</u>

<u /> $\pi r^{2} + \pi \sqrt{10}r^{2}\neq 4 \pi r^{2}$

They are not equal, therefore the answer is False.

Answer: Option B, False

6 0

2 years ago

Graph a line with a slope of 1/4 that contains the point (6, 3).

Semenov [28]

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

The equation of a line in point slope form is

$y-y1=m(x-x1)$

we have

$(x_1,y_1)=(6,3)$

$m=\frac{1}{4}$

substitute

$y-3=\frac{1}{4}(x-6)$

The easiest way to graph a line is to calculate the intercepts

The<u><em> x-intercept </em></u>is the value of x when the value of y is equal to zero

For y=0

$0-3=\frac{1}{4}(x-6)$

$-12=(x-6)$

$x=-12+6=-6$

The x-intercept is the point (-6,0)

The <u><em>y-intercept</em></u> is the value of y when the value of x is equal to zero

For x=0

$y-3=\frac{1}{4}(0-6)$

$y-3=-\frac{3}{2}$

$y=-\frac{3}{2}+3$

$y=1.5$

The y-intercept is the point (0,1.5)

Plot the intercepts and join the points to graph the line

(-6,0) and (0,1.5)

The graph in the attached figure

8 0

2 years ago

A baseball player has a batting average of 0.25. What is the probability that he has exactly 2 hits in his next 7 at bats

marissa [1.9K]

Answer:

The probability that he has exactly 2 hits in his next 7 at-bats is 0.3115.

Step-by-step explanation:

We are given that a baseball player has a batting average of 0.25 and we have to find the probability that he has exactly 2 hits in his next 7 at-bats.

Let X = <u><em>Number of hits made by a baseball player</em></u>

The above situation can be represented through binomial distribution;

$P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r}; x = 0,1,2,......$

where, n = number of trials (samples) taken = 7 at-bats

r = number of success = exactly 2 hits

p = probability of success which in our question is batting average

of a baseball player, i.e; p = 0.25

SO, X ~ Binom(n = 7, p = 0.25)

Now, the probability that he has exactly 2 hits in his next 7 at-bats is given by = P(X = 2)

P(X = 2) = $\binom{7}{2}\times 0.25^{2} \times (1-0.25)^{7-2}$

= $21 \times 0.25^{2} \times 0.75^{5}$

= <u>0.3115</u>

5 0

3 years ago

Max is spending the afternoon at the ice rink with friends. it costs $7.00 to rent skates for a day, and $4.00 for each hour of

Simora [160]

Answer:

20 greater than or equal to 4x + 7

Step-by-step explanation:

hope this helps!

4 0

1 year ago

15% of what number is 234

Alexandra [31]

15% of 1560 is 234. 234/0.15=1560 and 1560 x 0.15=234, therefore the answer is 1560.

5 0

3 years ago

Read 2 more answers