- A small waffle cone has a height of 6 inches and a diameter of 2.5 inches. Two scoops of
sorbet are placed on the wide end of the cone. The scoops are spheres with a diameter
of 2.5 inches. If all the sorbet melts into the cone, will the cone overflow?

Supposing 60 out of 100 scores are passing scores, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

60 out of 100 scores are passing scores, hence [tex]n = 100, \pi = \frac{60}{100} = 0.6[/tex]

95% confidence level

So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7[/tex]

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

A similar problem is given at https://brainly.com/question/16807970

Answer:

  3/4 hour

Step-by-step explanation:

The ratio of speeds going : coming is 9 : 3 = 3 : 1. The ratio of times will be the inverse of this: 1 : 3.

The time spent walking back is 3/(1+3) = 3/4 of the total, or 3/4 hour.

Andrea should plan on walking back for 3/4 hour.

Answer:

False

Step-by-step explanation:

The sides are not equal.

Answer:

So it's a big probability it's a 6 in 4 chance though. 6 is for users that are careful and 4 for users that aren't that careful.

Step-by-step explanation:

The required probability is 0.981 that at least one of them is careful about personal information.

The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.

According to a survey, 63% of Internet users are more cautious about their personal information when using a public Wi-Fi hotspot.

Four randomly selected Internet​ users, at least one is more careful about their personal information.

As per the given question,

Here, n = 4, p = 0.63, (1 - p) = 0.37 and x = 0

As per binomial distribution formula P(X = x) = nCx × p^x × (1 - p)^(n - x)

P(X = 0) = 4C0 × 0.63^0 × 0.37^4

P(X = 0) = 0.0187

P(X ≥ 1) = 1 - 0.0187

Apply the subtraction operation, and we get

P(X ≥ 1) = 0.981

Thus, the required probability is 0.981 that at least one of them is careful about personal information.

Learn more about the binomial theorem here:

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Answer: hopefully this helps!

Answer:

Sorry need points

Step-by-step explanation:

9514 1404 393

Answer:

  a. $4.17

  b. 233.3%

Step-by-step explanation:

a. The proportion the markup (m) is to the total (t) is ...

  m : t = 7 : 10

The total is the cost (c) plus the markup, so we have ...

  m : t = 7 : 10 = m : (m +c) = 7 : 7 +3

Then the ratio of total price to cost is ...

  t : c = 10 : 3

The menu price of the pie slice will be ...

  $1.25 × 7/3 ≈ $4.17

__

b. The ratio of markup to cost is ...

  m : c = 7 : 3 ≈ 2.333 = 233.3%

Answer:

4.5

Step-by-step explanation:

I took the test and got it right

Tt takes 20.15 minutes for the groundhog to reach a depth of -2.6 feet.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a groundhog starts out in its burrow 6.2 feet below the surface of the ground.

It digs straight up at a rate of 0.8 feet per minute.

Here, rate =6.2/0.8

= 7.75 feet per minute

Now, the time is 2.6×7.75

= 20.15 minutes

Therefore, it takes 20.15 minutes for the groundhog to reach a depth of

-2.6 feet.

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"Your question is incomplete, probably the complete question/missing part is:"

A groundhog starts out in its burrow 6.2 feet below the surface of the ground. It digs straight up at a rate of 0.8 feet per minute. How long does it take for the groundhog to reach a depth of −2.6 feet?

Answer:

c. 1.1

Step-by-step explanation:

-5.5(-1/5) = 5.5/5 = 1.1

Answer:

[tex]y=8x-25[/tex]

Step-by-step explanation:

The first thing to do is to find the slope. The slope is the difference in Y divided by the difference in x, or:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here (3, -1) is going to be (x1, y1) and (4, 7) will be (x2, y2):

[tex]m=\frac{7--1}{4-3}=\frac{8}{1}=8[/tex]

The slope is 8. Now, you can plug that into the formula. To find the y-intercept, plug in any point on the line and solve for b:

[tex]y=mx+b\\-1=8(3)+b\\-1=24+b\\b=-25[/tex]

Now we have both the slope and the y-intercept so you can write the equation for the line:

[tex]y=8x-25[/tex]

You can test that either by checking y for some value of x, or by graphing.

Answer:

3/4

Step-by-step explanation:

(-2/7) / (-8/21)

When dividing by a fraction flip it over and multiply

(-2/7) * (-21/8)

Cancel 2 and 8

(-1/7) * (-21/4)

Cancel 7 and 21

(-1/1) * (-3/4)

multiply

3/4

Answer:

$72.75

Step-by-step explanation:

15% of $85 is $12.75

$85 - $12.75 = $72.25

Answer:

12/2 = 6

Step-by-step explanation:

2 ways to do it, graph it, or do the slop finding formula y2-y1/x2-x1

answer:

Step-by-step explanation:

I hope she is correct answer

Answer:

C

Step-by-step explanation:

Answer:

1)24

2)15

3)5

4)48

Step-by-step explanation:

Answer:

I'm answering 1 and 2, okay?

Step-by-step explanation:

Q1: 24,36,12

Q2: 12, D

Question 1 works because the LCM of 6 and 4 is 12, so any multiple of twelve will also work. So from the answer choices, 12 24 and 36 all are multiples of 12.

Question 2 is D because it says 1 3/5 = 1 ?/20. We know that 5*4=20. And what we do to the denominator we do to the numerator, which is 3. So we multiply 3 by 4 to get 12.

And for the rest of the questions, GOOD LUCK AND TAKE CARE (Using my methods, you can solve them anyways.)

Answer:

a is 4 because 4 x 16=20 i hope this help

a + 16 = 20

a = ?

a = 20 + 16

a = 36

a = 36 ✔️

Answer:

21

Step-by-step explanation:

Rational expressions are expressions that can be represented as a quotient

The equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]

The expression is given as:

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex]

Expand the numerator as follows

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c \times c -5c \times 3 + 9\times c -9 \times 3)}{c - 8}}[/tex]

Multiply the factors on the numerator

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -15c+ 9c -27)}{c - 8}}[/tex]

Collect and evaluate like terms

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -6c-27)}{c - 8}}[/tex]

Remove the brackets

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{5c^2 -6c-27}{c - 8}}[/tex]

This means that:

[tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex] and the given expression [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] are equivalent

Hence, the equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]

Read more about rational expressions at:

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Answer:

2.7

Step-by-step explanation:

1200x 30/100×25/100×3/100=2.7

Answer:

Step-by-step explanation:

if 50 AED= 12 Euro

for 1 AED ? Euro

50AED/1AED= 12Euro/x

cross multiplication:

50*x=12*1

50*x=12

x=12/50

x=0.24 Euro

so for 1AED you will get 0.26 Euro

Answer:

p = 6/11

Step-by-step explanation:

11/6 = 1/p

=> 11p = 6

=> p = 6/11

Hoped this helped.

Answer:

The answer is the following:

r≈5.64in

Answer:

5.641

Step-by-step explanation:

If you think about it, the formula for getting the area of a circle is:

[tex]a = \pi r^2[/tex]

So to rearrange and make r the subject, divide both sides of the equation by pi:

[tex]\frac{a}{\pi} = \frac{\pi r^2}{\pi}[/tex]

[tex]\frac{a}{\pi} = r^2[/tex]

Now square root both sides to find r:

[tex]\sqrt{\frac{a}{\pi} } = \sqrt{r^{2} }\\\sqrt{\frac{a}{\pi} } = r[/tex]

Plug the known area value in:

[tex]\sqrt{\frac{100}{\pi} } = r[/tex]

= 5.641

Hope this helps!

Answer:

yes

Step-by-step explanation:

0.045 is greater than 0.00195

Answer:

1,044

Step-by-step explanation:

Answer:

Step-by-step explanation:

1044

Answer:

Step-by-step explanation:

b=boy

a= a on the exam

b=15

b∩a=6

b'∩a=3

b'∪a'=?

b'∪a'= b'+a'-b'∩a'

a= b∩a+b'∩a (law of total probability) = 9

a'= 25-9 = 16

b'= 25-15= 10

16+10-7=19

19/25= .76

Answer:

134.12

Step-by-step explanation:

Subtraction.

Tell me if you want a step by step.

Hope this helped. :)

Answer:

Both of the angles will add up to 180 degrees so let’s make an equation.

5x-5+2x+10=180

First we collect like terms

5x+2x-5+10=180

Add them up

7x+5=180

Move the constant to the right

7x=180-5

7x=175

7x/7=175/7

x=25

So yes it’s true x=25.

Now we find the respective angles,

5x-5

5(25)-5

125-5

120

So angle one is 120 degrees.

2x+10

2(25)+10

50+10

60

So angle two is 60 degrees.

Now to check,

120+60=180

Step-by-step explanation:

Answer:

Step-by-step explanation:

Group B, lower values of dots, with lower amounts of dots.

Multiply the amount per week by the number of weeks (x) and add that to the starting amount they had. Set those to equal each other and solve for x:

222 + 10x = 148 + 12x

Subtract 10x from both sides:

222 = 148 + 2x

Subtract 148 from both sides

74 = 2x

Divide both sides by 2

X = 37

Answer: 37 weeks