Sylvia is twice as old as her brother. Find their ages now if in seven years her brother will be what her age was last year.

Answer:

Step-by-step explanation:

area of circle=πr^2

=3.14*5^2

=3.14*25

=78.5 ft^2

Answer: 1/3

Step-by-step explanation: if the cube has 7 sides. If they are numbered 1, 2, 3, 4, 5, 6, 7 (seven possibilities) and the even ones (2, 4, 6,) are successes, then the probability of rolling an even number on the first roll is 3/7 = 1/3.

Answer:

I can't exactly draw this out on this website, but I can tell you how to do it:

First, solve the inequality so it resembles a function:

7x - y ≥ 14

-y ≥ -7x + 14

y ≤ 7x - 14 (Both side multiply by -1)

Then, graph y = 7x - 14

Finally, because y is less than/equal to 7x - 14, shade in the area under/below the line(where the y-values are smaller).

Hope it's helpful enough

Answer:

33.33 repeating percent.

Step-by-step explanation:

So using the 20 percent, we can guess there will be 2 bulbs that are defective in the sample. So 2/10. But we are guessing there will be 6;6/10. We alreadly know the proablity of that is low. To be exact 2/6 (as they are both over ten we can get rid of that) or 1/3, or 33.333 repeating percent.

Hope this helps!

Answer:

c. 250

Step-by-step explanation:

Answer:

ELHLADOE

Step-by-step explanation:

The number of ways using permutation and combination of ice cream is = 4*6*14 ways.

The distinctive methods of arranging a set of items right into a sequential order are termed Permutations. one of the several methods of choosing items from a massive set of gadgets, without thinking about an order is termed a mixture.

mixture and permutation are extraordinary methods of grouping elements of a set into subsets. In aggregate, the factors of the subset may be listed in any order. In a permutation, the elements of the subset are indexed in a particular order.

explanation:

using multiplication rule of probability.

=The number of choices is 4 cones

= The number of choices of flavour = 6

= The number of choices topping = 14

Hence total combination is = 4*6*14

336.

A permutation is a mathematical calculation of the variety of approaches a selected set can be organized, wherein the order of the arrangement topics.

Learn more about combination and permutation here:-https://brainly.com/question/11732255

#SPJ2

Answer:

(100,300)

Step-by-step explanation:

Just did it and got it right.

9514 1404 393

Answer:

  384 square yards

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW . . . . . where L and W stand for Length and Width

Using the given dimensions, you find the area to be ...

  A = (24 yd)(16 yd) = 24×16 yd² = 384 yd²

The area of the figure is 384 square yards.

Answer:

$42.7893 or $42.79 rounded

Answer:

umm sorry but you haven't given the examples yet!!

Answer:

A)-4

Step-by-step explanation:

180=120+x+64

x=180-120-64

x=-4

Answer:

option A:  120°

Step-by-step explanation:

[tex]Area \ of \ circle = \pi r^2\\\\Area \ of \ sector = \pi r^2 \frac{ \theta}{360}\\\\Ratio \ of \ sector \ to \ circle = \frac{1}{3}\\\\That is, \\\frac{1}{3} = \frac{\pi r^2 \frac{\theta}{360}} {\pi r^2}\\\\\\\frac{1}{3} = \frac{\theta}{360} \\\\\frac{360}{3} = \theta\\\\120 = \theta[/tex]

Each shaded area represents a probability. The first plot, for instance, represents the probability P (-z ≤ Z ≤ z) = 0.8064 for some number z that you have to find. To find these z, you'll need to be familiar with properties of the normal distribution as well as with lookup tables for z-scores or using inverse CDFs. (I'll provide a link in the comments to a calculator you can use.)

(a) The area under the curve between -z and z is 0.8064. This means the area outside this interval is 1 - 0.8064 = 0.1936. Because the distribution is symmetric about its mean (0 for the standard normal distribution), you know that the area under the curve to either side of the shaded region is half of this, or 0.0968. This area corresponds to the probability P (Z ≤ -z).

So you have

P (-z ≤ Z ≤ z) = P (Z ≤ z) - P (Z ≤ -z) … … … (a property of continuous distributions)

0.8064 = P (Z ≤ z) - 0.0968   ==>   P (Z ≤ z) = 0.9032

and looking up the z-score, you would find z = 1.3.

(b) Because this distribution is symmetric about the mean, the mean is the same as the median, which is the number z such that P (Z ≤ z) = 0.5. In other words, half of the entire distribution falls to either side of the mean.

We use this fact to write

P (0 ≤ Z ≤ z) = P (Z ≤ z) - P (Z ≤ 0) = P (Z ≤ z) - 0.5 = 0.4452

==>   P (Z ≤ z) = 0.9452

==>   z ≈ 1.6000

(c) Keep in mind that the CDF is defined as P (Z ≤ z), so in order to find a probability like P (Z ≥ z), you have to take the complement:

P (Z ≥ z) = 1 - P (Z ≤ z) = 0.1711   ==>   P (Z ≤ z) = 0.8289

==>   z ≈ 0.9498

(d) Same reasoning as in (c):

P (Z ≥ z) = 1 - P (Z ≤ z) = 0.9918   ==>   P (Z ≤ z) = 0.0082

==>   z ≈ -2.3999

(e) Much more straightforward:

P (Z ≤ z) = 0.9115   ==>   z ≈ 1.3501

Answer:

5.104 X 10^2

Step-by-step explanation:

Answer:

510.4 trillion in scientific notation = 5.104 × 1014.

Step-by-step explanation:

This can also be expressed as 5.104 × 10^14, using the caret symbol, or as 5.104e+14, which is called 510.4 trillion in e-notation,

Answer:

5.6 = AC

Step-by-step explanation:

We know that the length of BD is congruent to the length of AC, therefore we can say:

BD ≅ AC

4.8 * 1.6 = 3.2 * x

7.68 ≅ 3.2x

7.68 / 3.2 ≅ x

2.4 = x

Therefore length of AC would be:

3.2 + x = AC

3.2 + 2.4 = AC

5.6 = AC

Hope this helps!

Answer:

f(x + 2) = 3x + 2

Step-by-step explanation:

Simply replace wherever you find x in the function f(x) with (x + 2), like so:

f(x + 2) = 3(x + 2) - 4

f(x + 2) = 3x + 6 - 4

f(x + 2) = 3x + 2

Answer:

percent: 45%

fraction: 11/20

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

7cm

14cm

dπ or 2r π

14π or 2(7π)

Step-by-step explanation:

Radius = 7cm

Diameter = 7 x 2 = 14cm

Circumference = 2 x π x r = dπ

Circumference Value = 2 x π x 7 = 14π

Answer:

Radius: 7 cm

Diameter: 14 cm

Circumference Formula: c = dπ or c = 2rπ

Circumference Value: c = 14π or c = 2(7π)

Step-by-step explanation:

We are given that the radius of the circle is 7 cm. The diameter will always be twice as large as the radius so that will lead us to 14 cm as the diameter of the circle. The formula is quite simple. There are two different types of formulas for finding the circumference of a circle. If only the diameter is given, then we use the formula c = dπ, where d is for diameter and π is for pi or 3.14159. If only the radius is given, then we use the formula c = 2rπ, where r is for radius and π is for pi or 3.14159. In this case, we are going to use the formula for radius since only the radius is given. Simply plug in the value for radius then multiply the radius to π or 3.14159 and multiply the product by 2 to get the circumference of the circle. If I am wrong, please let me know. I hope this helps! :D

Answer:

41

Step-by-step explanation:

0,5r = 20,5|:0,5

r = 41

Answer:

6+8x

Step-by-step explanation:

Answer:

156

The angle measurement is reasonable.  It must be less than 180 which is a straight line

Step-by-step explanation:

Vertical angles are equal

3x = x+104

Subtract x from each side

3x-x = x+104-x

2x = 104

Divide by 2

2x/2 = 104/2

x = 52

3x = 3*52 = 156

The angle measurement is reasonable.  It must be less than 180 which is a straight line

Answer:

n(A) =61

Step-by-step explanation:

From - 30 to 30 there are 61 numbers

Therefore number of elements in A is 61

Answer:

a) Then, t(s) is in the rejection region. We can not support that the mean annual premium in Pennsylvania is lower than the national mean annual premium

b) The point estimate of the difference is  59 $

Step-by-step explanation:

From sample we get:

sample size    n  =  25

annual mean   x  =  1440

standard deviation of the sample   s  =  150

mean for the mean annual premium    μ  = 1499

Hypothesis Test:

Null Hypothesis                      H₀           x  =   μ

Alternative Hypothesis          Hₐ           x  <   μ

Alternative Hypotesis indicates that the test is a one-tail test to the left

Let´s assume  confidence Interval 95 %    then  α  =  5 %   α = 0.05

As  n < 30 and we assume normality we will make a t-student test

degree of freedom    df  =  n  -  1    df  = 24

With df = 24  and  α = 0.05 and from t-student table we get t(c) =  - 1.711

To calculate t(s) we apply:

t(s)  =  (  x  -  μ ) / s/√n

t(s)  =  ( 1440  -  1499 ) * 5 / 150

t(s)  =  - 59/ 30

t(s)  =  - 1.96

Comparing t(s)  and t(c)  

|t(s)| > |t(c)|

Then, t(s) is in the rejection region. We can not support that the mean annual premium in Pennsylvania is lower than the national mean annual premium.

b) The point estimate for the difference is :   x  - μ  =  59 $

Answer:

700,000 + 2,000 + 1

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Use distributive property:

5(2x - 3) = 5x - 10

10x - 15 = 5x - 10

Isolate the variable:

10x = 5x - 10 + 15

10x = 5x + 5

10x - 5x = 5

5x = 5

x = 1

First, you distribute 5 into (2x-3), as an outcome of 10x-15=5x-10

Secondly, you need to add the 15 to the -10 to get 10x=5x+5

Thirdly, you need to subtract 5x from 10x, you'd get 5x=5

Finally you divide 5x by 5 to get (1)

The answer is B) 1

Any further explaination needed please ask.

6 cm.

Explanation:

Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.

The formula to find the area of a triangle is:

a

=

1

2

h

b

→

(

h = height

,

b= base

)

We know:

a

=

24

h

=

8

So we can substitute them in and find

b

:

24

=

1

2

(

8

)

b

Multiply by sides by 2 and then divide:

24

×

2

=

1

2

(

8

)

b

×

2

48

=

8

b

6

=

b

The base of the triangle is

6 cm.

ur welcome ♥️♥️

Answer: 32

Step-by-step explanation:

4 x 4 x 4

Answer:12

Step-by-step explanation:

Just got it from the practice Test.

Answer:

Straight

Step-by-step explanation:

Its 180° or a straight line

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Straight po di kopo sure

Step-by-step explanation:

Hope it helps