cos(t) = 4/5
What is the value of t?

Answer:

The probability that the lacrosse goalie will make at least 10 saves is 0.558.

Step-by-step explanation:

Let X denote the number of saves the lacrosse goalie will successfully make.

It is provided that the probability of the lacrosse goalie making a successfully save is, p = 0.80.

It is assumed that all save attempts are independent.

Suppose that the lacrosse goalie attempts to make n = 12 saves.

The random variable X follows a binomial distribution with parameters n = 12 and p = 0.80.

Compute the probability that the lacrosse goalie will make at least 10 saves as follows:

[tex]P(X\geq10 )=P(X=10)+P(X=11)+P(X=12)[/tex]

                 [tex]={12\choose 10}(0.80)^{10}(0.20)^{2}+{12\choose 11}(0.80)^{11}(0.20)^{1}+{12\choose 12}(0.80)^{12}(0.20)^{0}\\\\=0.2835+0.2062+0.0687\\\\=0.5584\\\\\approx 0.558[/tex]

Thus, the probability that the lacrosse goalie will make at least 10 saves is 0.558.

Answer:

that is correct

Step-by-step explanation:

your welcome

Answer:

-3/5x+6

Step-by-step explanation:

I'm assuming they want it in slope-intercept form, because that's more common. If it's not then I will be wrong. See screenshot for proof.

Answer:

8

Step-by-step explanation:

x=8 because if you take the square root of 64 you get 8 so that means 8^2= 64

Answer:

C) I got it right

Step-by-step explanation:

Answer:

C, 34 inches

Step-by-step explanation:

1. We can see that 30 is the length of one of the sides on the larger parallelogram. The same side has a length of 12 inches on the smaller one. So, we need the difference of these 2 to figure out PQ.

30 - 12 = 18 inches (the difference)

2. Add 18 to 16 (the bottom side on the small parallelogram) to figure out what the bottom side of the large parallelogram would be.

16 + 18 = 34 inches (answer C)

Answer:

I confirm that the person above me is right.

Step-by-step explanation:

Enjoy your brainliest ;)

Answer:

45

Step-by-step explanation:

Square root 2025 and you will get 45

45 times 45= 2025

Answer:

Step-by-step explanation:

If you are multiplying then 45 * 45 = 2025

If you are adding then 1012.5 + 1012.5 = 2025

Answer:

There isn't an image...

Step-by-step explanation:

Answer:

There are 36 ways in which he can wear combinations with three items of the different color.

Step-by-step explanation:

Hat              Pants           Shirts           Shoes

red             black             red              black

blue           blue               black           red

green        green             white            blue

                 white                                  white

If we look carefully we see that he can choose any hat, any pant and any shirt but he can choose only one pair of shoes that does not match with any of the three.

3C1*4C1*3C1*4C4= 3*4*3* 1= 36

There are 36 ways in which he can wear combinations with three items of the different color.

Answer:

1. D and C

2. F = 9/5(k-273) + 32

Step-by-step explanation:

1. We simply want to write the given equation in different forms;

PV = nRT

So P = nRT/V

R = PV/nT

V = nRT/P

n = PV/RT

T = PV/nR

So the correct expressions are;

D, C,

2. we want to make F the subject of the formula, that would be;

C = 5/9(F - 32)

9C = 5(F - 32)

divide both sides by 5

9C/5 = F - 32

F = 9C/5 + 32

But K = C + 273

So C = K - 273

Insert this into the equation, we have

F = 9(K-273)/5 + 32

Answer:

the third answer

Step-by-step explanation:

parallel lines will have the same slope (in this case -4) and you plug in the points

Answer:

432 cm[tex]^{3}[/tex]

Step-by-step explanation:

The volume of the box can be determine by using derivative function:

V = (18 - 2x) (18 - 2x) x

dV/dx = 4x^3 + 324 + 144x

equating to zero;

(x - 9) (x - 3) = 0

x = 9 , 3

putting the values in the equation;

V = (18 - 2 [3]) (18 - 2[3]) 3

volume = 432.

Answer:

x=26262626262626...

Step-by-step explanation:

Answer:

-103n = 0

Step-by-step explanation:

Watch my following steps:

8 - 81n - 18 = -10 + 22n

8 - 81n - 22n = -10 + 18

-81n - 22n = 8 - 8

-103n = 0

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

34.5744 ≈ 35

Step-by-step explanation:

The formula for Margin of Error

= z × σ/√n

Where

z = z score of the confidence interval = z score of 95% = 1.96

σ = 15 pounds

n = number of samples = ??

Margin of Error = 5

Hence,

5 = 1.96 × 15/√n

Cross Multiply

5 × √n = 1.96 × 15

Divide both sides 5

√n = 1.96 × 15/5

√n = 1.96 × 3

√ n = 5.88

Square both sides

n = 5.88²

n= 34.5744

Approximately the size = 35

Answer:

Scale factor = [tex] \frac{5}{4} = 1\frac{1}{4} [/tex]

Step-by-step explanation:

The scale factor is how much the right triangle on the right was increased in size or enlarged, since the right triangle is a scaled copy of the one on the left.

The scale factor used = the ratio of any of their corresponding sides

Scale factor = side length of the ∆ on the right ÷ corresponding side length of the ∆ on the left

Scale factor = [tex] \frac{15}{12} [/tex]

Scale factor = [tex] \frac{5}{4} = 1\frac{1}{4} [/tex]

The scale factor expressed as a fraction is 4/5

Since the right triangle on the right is a scaled copy of the right triangle on the left, then the ratio of their similar sides is equal to the scale factor.

This is expressed as:

Taking the ratio of the fractions

[tex]\frac{20}{25} = \frac{4}{5}[/tex]

Similarly for [tex]\frac{12}{15}[/tex]

[tex]\frac{12}{15} =\frac{4}{5}[/tex]

This shows that [tex]\frac{20}{25} = \frac{12}{15} = \frac{4}{5}[/tex]

Hence the scale factor expressed as a fraction is 4/5

Learn more here: https://brainly.com/question/9386516

Answer:

Confidence Interval Meaning, Implication, Formula

Step-by-step explanation:

95% confidence interval is the range around the stable estimate, which has 95% certainty (or probability) of containing true population parameter.

Formula : x' + z (s/ √n)

Where : x' = sample mean, confidence level value, s = standard deviation, sample size

By using sample size, sample mean, sample standard deviation of US people 'considering health care access most important' - & using above formula - range containing actual population proportion (with 95% sure probability) thinking the same.

2.4 = 24/10 = 12/5

, 2.4 = 12/5 =5/12

Answer:

2.4

Step-by-step explanation:

And if your trying to find the hundredth it would be 0 and 0 is less than 4 so it goes down

Answer:

840

Step-by-step explanation:

You can divide by 5 and get 168

840/6 = 140

840/21 = 40

Answer:

The largest 3 digit number divisible by 5, 6, & 21 is 840.

Answer:

In square feet, Ken's porch is 180² ft.

Answer: 120

Step-by-step explanation:

Base x height / 2 (I think)

Answer:

The correct interpretation of the 95% confidence interval is that there is 95% confidence that the true proportion of people who own a tablet computer is within the upper limit (0.78) and  the lower limit (0.62) of the confidence interval

Step-by-step explanation:

From the question we are told that

  The  95% confidence interval  is  (0.62,0.78)

Generally the correct interpretation of the 95% confidence interval is that there is 95% confidence that the true proportion of people who own a tablet computer is within the upper limit (0.78) and  the lower limit (0.62) of the confidence interval

Answer:

F.   [tex] 5x^{4} [/tex]

Step-by-step explanation:

[tex] \dfrac{15x^6}{3x^2} = [/tex]

[tex] = \dfrac{3 \times 5}{3} \times \dfrac{x^6}{x^2} [/tex]

[tex] = 5 \times x^{6 - 2} [/tex]

[tex] = 5x^4 [/tex]

Answer:

Step-by-step explanation:

Base area =[tex]x^2[/tex]

side area=[tex]h*x[/tex]

Volume=[tex]x^2*h[/tex]=14

Surface area =[tex]4hx+2x^2[/tex]

upon substituting [tex]h=14/x^2[/tex]

surface area = [tex]4*\frac{14}{x^2}*x+2x^2[/tex]

upon differentiating and solving we get  f"([tex]\sqrt[3]{14\\}[/tex]) >0 proves that this point is of minima

hence, dimensions are

[tex]x=\sqrt[3]{14}[/tex] ,h=[tex]\sqrt[3]{14}[/tex]

Answer:

a=(d+c)/b

Step-by-step explanation:

a*b-c=d

a*b=d+c

a=(d+c)/b

Answer:

c+d /b

Step-by-step explanation:

Answer:

es pepo cumbia

o PVP TU PON LA SALA Y YO LA HUMILLACIÓN

Answer:

2x-1+12=6x+3

X = 2

Explain:

2x-1+12=6x+3

2x+11+6x+3

( 2x+11 )+(-11-6x)=(6x + 3) + (-11  - 6x)

so that means

X=2

Step-by-step explanation:

we are looking for the inequality of X

i can tell from this question that the first 2 are wrong, which leaves the last 2

first step, we add 1/3

5/6x> 1 2/3

now we divide 1 2/3 by 5/6 which gives us 2

taking a look at the sign posted in the question, i can confirm that C is correct

2w - 5

This is the right expression