Solve for x. (x+6)(-x+1)=0​

Answer:

a) One student from the class is chosen at random. What is the probability that the student has a sister?

S/£

b)One of the students who has a brother is chosen at random. What is the probability that this student has a sister?​

BS/£²

Step-by-step explanation:

In the question, we are given the following values:

£ represents 29 students in class = Total number of students in the class.

B represents students who have a brother

S represents students who have a sister

The formula for probability = Number of events ÷ Number of possible outcomes.

a) One student from the class is chosen at random. What is the probability that the student has a sister?

Number of events = Number of students that have a sister = S

Number of possible outcomes = £ represents 29 students in class

The probability that the student has a sister = S/£

b)One of the students who has a brother is chosen at random. What is the probability that this student has a sister?​

This is calculated as

The Probability of Students that have a brother and a sister = Probability of students that have a brother × Probability of student that have a sister.

Number of students that have a brother = B

Number of students that have a sister = S

The Probability of Students that have a brother and a sister = B/£ × S/£

= BS/£²

Answer:

a) 14/29

b) 4/11

Step-by-step explanation:

You forgot to add the Venn diagram

7+4+2x+X+3 =29

14 +3x= 29

3x = 15

X = 5

2*5=10

10+4=14

5+3=8

14/29

I hope this helps you :D

Have a good day

Answer:

1

Step-by-step explanation:

[tex]10-\frac{54}{6}[/tex]

10-9

1

Answer:

11 boxes will be fully packed and .25 will be remaining

Our total amount of apples is 135 apples, and the amount that each box can hold is 12.

So, that means we can make an equation for this.

The equation would be 135 = 12x.

Then, to find x we can divide both sides by 12.

135/12 = 11.25

Next, we take 11 and multiply it by 12 to see how many apples it is.

11 x 12 = 132

So, 135-132 equals 3.

3 is 1/4 of 12.

That means 11 boxes will be fully packed and 1/4 of a box will be filled.

Answer: 13/250 or 0.052

Step-by-step explanation:

4.16 (1/100000)/ 8 (10^-4)

Then keep doing order of operations and dividing down.

Answer:

5.2*10^-2

Step-by-step explanation:

Answer:

The margin of error for a 98% confidence level is of 0.06 years.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.98}{2} = 0.01[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.01 = 0.99[/tex], so [tex]z = 2.327[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

In this question:

[tex]\sigma = 1.68, n = 4400[/tex]

So

[tex]M = 2.327*\frac{1.68}{\sqrt{4400}}[/tex]

[tex]M = 0.06[/tex]

The margin of error for a 98% confidence level is of 0.06 years.

Answer:

B. Triangles A and C

Step-by-step explanation:

Let's find the missing angle of all Triangles:

Triangle A: 180-110-30=40°

Triangle B: 180-30-45=105°

Triangle C: 180-110-40=30°

All triangle angles in numerical order:

ΔA: 30, 40, 110

ΔB: 30, 45, 105

ΔC: 30, 40, 110

We see that only ΔA and ΔC are congruent with the same angle sizes.

Answer:

17.5

Step-by-step explanation:

First you need to put those numbers in order from least to greatest

second go from each side and count till you get to the middle 17 and 18

third add 17 + 18 = 35

fourth divid by 2 35/2 = 17.5

Hope this helps

Answer:

12,14 .........................

Answer:

7

Step-by-step explanation:

7 is a prime number. hope this helps!! moo!

Answer:

28 students total.

Step-by-step explanation:

Let's use a ratio:

boys : girls

 4     :   3

 16    :   12

To find the total, we need to add 16 and 12 which equals 28

Answer:

28 students

Step-by-step explanation:

If 4/7 of the students are boys,

then 1- 4/7 = girls

7/7 -4/7 = 3/7

total students *3/7 = girls

total students * 3/7 = 12

Multiply each side by 7/3

total students * 3/7 *7/3 = 12*7/3

total students = 28

Answer:

(D) 7, 3

Step-by-step explanation:

If a set has 'n' elements, the total number of subsets is (2^n) - 1

So if set A has more subsets than set B, it needs to have more elements, so option (A) and (B) can't be correct.

So, checking option (C), we have:

Set A: number of subsets = 2^8 - 1 = 255

Set A: number of subsets = 2^4 - 1 = 15

Difference: 255 - 15 = 240

The difference is not 120, so this is not the correct option

Option (D):

Set A: number of subsets = 2^7 - 1 = 127

Set A: number of subsets = 2^3 - 1 = 7

Difference: 127 - 7 = 120

Correct option: (D)

Answer:

133,787 residents

Step-by-step explanation:

First thing we need to do here is calculate the number of 5 years between 2020 and 1990

That would be 2020-1990 = 30/5 = 6

Now to estimate the present population, we will be needing an exponential equation

P = I(1-r)^n

where P is the present population at 2020

I is the population at 1990 which is 182,000

r is the percentage decrease every 5 years which is 5% or simply 5/100 = 0.05

n is the number of 5 years between 1990 and 2020 which is 6

Plugging all these values we have;

P = 182000(1-0.05)^6

P = 182000(0.95)^6

P = 133,786.724

To the nearest whole number, P = 133,787 residents

Answer:

Step-by-step explanation:

0 is whole number and 1 is natural number they both end in infinity. So there is only 0 in whole number but not in natural number.thats why every natural number is whole number

Natural numbers are the counting

numbers and they are always positive.

The set of natural numbers begin at 1 and go on indefinitely.

The natural numbers look like {1, 2, 3, 4, 5, ...}.

When we include 0 in the set of natural numbers, the new set,

{0, 1, 2, 3, 4, ...} is called the set of whole numbers.

Notice that all natural numbers are

included within the set of whole numbers.

We can represent the relationship between these

two sets of numbers using a diagram.

The bigger circle below represents the set of whole numbers

and all natural numbers will appear within the set of whole numbers.

In summary, natural numbers are the same as whole numbers except for the fact that whole numbers include 0.

Answer:

Step-by-step explanation:

The radius of the outside of the pipe is 6 inches and the radius of the inside of the pipe

is 5.75 inches

Determine the volume of metal used to build the pipe.

Answer:

y=1.09x+0.4

Step-by-step explanation:

Let's assume that the price of beef stays the same for every pound of beef (the first pound is also $1.09)

Then, the equation would be, it y was the cost, and x was pounds:

y=1.09x

But, the price of beef is not the same for the first pound.

The first pound costs an extra 1.49-1.09=0.4 dollars a pound, so we will add that to the equation.

y=1.09x+0.4

Answer:

Step-by-step explanation:

volume of an oblique square pyramid V = 1/3 * b * H where;

b is the base area of the pyramid

H is the height of the pyramid

To determine the expression that represents area of the base of the pyramid, we will make the variable 'b' the subject of the formula from

V = 1/3 bH

[tex]V=\frac{bH}{3}[/tex]

Cross multiplying we have;

[tex]3V = bH\\[/tex]

Dividing both sides by H we have;

[tex]\frac{3V}{H} = \frac{bH}{H} \\b = \frac{3V}{H}units^{2}[/tex]

This gives the correct expression for the base area of the pyramid

Answer:

A.

Step-by-step explanation:

Answer:

See the explanation below.

Step-by-step explanation:

n = sample size = 1000

X = proportion of adults that a will = 450 / 1,000 = 0.45

P-value = 0.5

a = level of significance = 5%, or 0.05

A. At the 5% significance level, can you conclude that the percentage of people who have a will is less than 50%?

Our hypotheses are:

Null hypothesis: u ≥ 0.5

Alternate hypothesis: u < 0.5

Since this indicates a left tailed test, the decision rule is to reject null hypothesis if p-value is less than the level of significance.

[tex]Z = test statistic = \frac{0.45 - 0.5}{0.5/\sqrt{1,000} }[/tex]

Z =  - 0.05 / 0.0158113883008419 = - 3.1623

Using the excel function NORMSDIST(-3.1623), we have:

P- value = 0.000782701129001276, approximately 0.0008

Therefore, null hypothesis is rejected at 5% level of significance since the p-value 0.0008 is less than 5%, or 0.05.

Therefore, there is an enough reason to reject null hypothesis.

B. What is the Type I error in part A? What is the probability of making this error?

Since the probability is greater than 50%, the Type I error is therefore the statement in the question that less than 50% of adults have a will.

Also, the probability of making this Type I error is the 5% level of significance.

C. What would your decision be in part A if the probability of making a Type I error were zero?

The null hypothesis will be rejected if the probability of making a Type I error were zero in part A.

Answer:

(-1,-4)

Step-by-step explanation:

that's the answer

Answer:

Volume = 680 ft³

Step-by-step explanation:

Given

Floor Area = 85 ft²

Height = 8 ft

Required

Volume of the Kitchen

To solve this, it'll be assumed that Tony's kitchen has a regular shape.

Having said that, the volume of Tony's kitchen is calculated as thus.

Volume = Floor Area * Height.

Substitute the values of floor area and height

Volume = 85ft² * 8ft

Volume = 680 ft³

Hence, the volume of Tony's kitchen is 680ft³

Answer:

(0, ∞ )

Step-by-step explanation:

Basic exponential functions always take on values ranging from (but not touching) 0 upward.

Thus, the range of this particular exponential function is (0, ∞ )

Answer:

Step-by-step explanation:

3/4 * 2 = 1 1/2

The factory made two batches of granola bars.

Answer:

A =  108 units^2

Step-by-step explanation:

A = (1/2)(1 + 8)(24)

A = (1/2)(9)(24)

A = (9)(12)

A = 108

Answer:

108

Step-by-step explanation:

If it's a whole rectangle, the are would be 192

The piece that's missing is a right triangle.

The area of the right triangle = 1/2 base x height = (1/2)(7)(24) = 84

A = 192 - 84

A = 108

Answer:

a

a -0.5

b -a

i believe that is the order but i could be wrong

Answer:

hi there !!

the correct answer should be: a - 0.5, a, b - a

Step-by-step explanation:

first let's show -0.5 on the number line.

now let's show b - a on the number line.

the given expressions are ordered by their values below.

Answer:

1

Step-by-step explanation:

–6 − 8r = 8 − r

− 8r - r = 8 + 6

-9r = 14

r = -14/9

Answer:

r =-2

Step-by-step explanation:

–6 − 8r = 8 − r

Add r to each side

–6 − 8r+r = 8 − r+r

-6 -7r = 8

Add 6 to each side

-6+6 -7r = 8+6

-7r = 14

Divide each side by -7

-7r/-7 = 14/-7

r =-2

Answer:

C

Step-by-step explanation

Answer:

c

Step-by-step explanation:

Answer:is 55

Step-by-step explanation:

135-25=2x

110/2=55

Answer:

x = 55

Step-by-step explanation:

First you start with your equation, which is: [tex]135=2x+25[/tex]

Subtract 25 from both sides. Once you do that, you get: [tex]110=2x[/tex]

Then after that, you divide both sides by 2. Then you get your answer, which is: [tex]x=55[/tex]

✌Hope I helped ya✌

Answer:

Circumference = 2 x 3.14 x radius = 27 (in)

=> radius = 27/(2 x 3.14) = 4.3 (in)

=> Area = 3.14 x radius^2 = 3.14 x 4.3^2 = 58.1 (in2)

Answer:

58 inches^2

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi *radius^{2}[/tex]

To work out the area of this circle you would first need to divide the circumference of 27 by pi, this gives you 8.594. This is because the formula for the circumference is: [tex]\pi *diameter\\[/tex] and so by dividing the circumference by pi we are isolating the value of the diameter.

Then now that we have worked out the diameter we can now begin to work out the area, however in order to work out the area we must work out the radius. You can do this by dividing the diameter by 2, which gives you 4.297.

Then to work out the area you would multiply pi by the radius of 4.297 squared, this gives you 58.01 [tex]inches^{2}[/tex].

The next step is to round it to the nearest whole number, this gives you 58.

1) Divide 27 by pi.

[tex]27/\pi =8.594[/tex]

2) Divide 8.594 by 2.

[tex]8.594/2=4.297[/tex]

3) Multiply pi by 4.297 squared.

[tex]\pi *4.297^{2} =58.01[/tex]

4) Round to the nearest whole number.

58 square inches

Answer:

No solution

Step-by-step explanation:

Let's solve this system using elimination through addition/subtraction.  Multiply the second equation by (1/2), which results in the system

y - 4x = 5

4x - y = 8

--------------

0x + 0y = 13.  This is NEVER true.  This system of equation has NO  SOLUTION.

Answer:

Yes

Step-by-step explanation:

The inputs in a function should have only one output. In other words, each x value should only be assigned to one y value.

For example, (−2, −1),(1, 0),(1, 5),(2, 0) would not be a function because x value 1 is assigned to both number 0 and number 5.

In (1, 1)(2, 2)(3, 3)(4,4), non of the X values repeat themselves, so it IS a function.

Answer:

Gross pay per week = $234

Federal income tax = $421.2

Social security = $174.96

Medicare =$40.71

net pay per week = $181

Total gross pay = $2,808

Total net pay = $2172

Step-by-step explanation:

Hi, to answer this question, first, we have to calculate Angela gross income per week:

18 hours per week x $13 per hour = $234 per week (gross)

234 x 12 =2,808

Amount taken ; multiply weekly gross pay by each percentage discount in decimal form (divided by 100)

Federal income tax = 234 x (15/100) = $35.1  (in 12 weeks = 35.1 x 12 = $421.2)

Social security = 234 x (6.2/100)= $14.508 (in 12 weeks = 14.5 x 12 = $174.96)

Medicare = 234 x (1.45/100)=$3.393  (in 12 weeks = 3.39x 12 = $40.71)

Total amount taken (per week)= 35.1+14.508+3.393=$53.001

Net pay per week = 234-53 = $181

For the total gross pay we have to multiply the weekly gross pay by the number of weeks (12)

Total gross pay = 234 x 12 =$2,808

Total net pay = 181 x 12 = 181 per week x 12 = $2172