Janice bought 4 shirts that are red green white and yellow and 3 pairs of pants that are black, light blue and dark blue use an organized list to determine the probability that Janice wears a white shirt and blue pants if she randomly chooses her outfit from her new clothes

Answer:

Ans- A

Step-by-step explanation:

When you have a quadratic like this, f(x) = [tex]x^{2}[/tex] + x - 12,

factorize it first.

Then you'll get f(x)= (x-3)*(x+4)

Finally, you set:

0= (x-3)*(x+4)

Just use the null factor law, and there you go.

x= 3 or x=-4

Have a nice day :)

The zeros of the given quadratic equation is equivalent to 3 and -4. Option A

Given the quadratic equation below:

f(x) = x² + x - 12

Factorising the expression, we will have:

f(x) = x² + 4x - 3x - 12

Factor

f(x) = (x² + 4x) - (3x  + 12)

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

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

If f(x) = 0

(x - 3)(x+4) = 0

x = 3 and -4

Hence  the zeros of f(x) = x^2 + x - 12 are 3 and -4.

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Answer:

Answers are below

Step-by-step explanation:

       3y = 10 - x

2x + 6y = 7                 This set is correct because it is lined up correctly.

      y =  13 - 2x

4x - y = -1                    This set is also correct because it is lined up correctly.

The equations that have no solutions are:

x + 4y = 23

   - 3x = 12y +1         These equations don't touch

       3y = 10 - x

2x + 6y = 7              These equations don't touch

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Answer:

x + 4y = 23

- 3x = 12y +1

3y = 10 - x

2x + 6y = 7

Step-by-step explanation:

Answer:

The slope of the line on this graph is 1/2.

Step-by-step explanation:

From (-4, 0), go up 2 units to (-4, 2), then go right 4 units to (0, 2). So the slope of this line is 2/4 = 1/2.

Answer:

Step-by-step explanation:

When solving algebra, it is important the we follow the steps in correct order and check our answer at the end.

Step 1: Simplify by combining like terms

y = -x/2 + 5/4 + 8y = -25

Step 2: Substitute

y = -25

-25 = -x/2 + 5/4 + 8(-25)

-25 = -x/2 + 5/4 + -200

-25 = -x/2 - 198 3/4

Step 3: Answer

x = -347 1/2

Step 4: Check

y = 3/2x + 5/4 −2x + 8y = −25

-25 = 3/2(-347 1/2) + 5/4 −2(-347 1/2) + 8(-25)

-25 = -25✔️

Step 5: Verified Answer

x = -347 1/2

I'm always happy to help :)

Answer:

r=67.2

Step-by-step explanation:

Answer:

r = 67.2

Step-by-step explanation:

8.25r = 554.4

divide 8.25 from both sides

r = 554.4/8.25 = 67.2

r = 67.2

Final answer:

To write a polynomial f(x) with specified zeros and a value for f(0), we first express the polynomial in its factored form, then solve for the coefficient using the given f(0) value. The resulting polynomial is f(x) = -5(x + 3)^3(x - 2).

Explanation:

To write a polynomial f(x) of the lowest degree with zeros of -3 (multiplicity 3) and 2 (multiplicity 1), we use the fact that zero of multiplicity m means the factor corresponding to that zero will appear m times in the factored form of the polynomial. Given these zeros, the polynomial in its factored form is:

f(x) = a(x + 3)^3(x - 2)

We are also given that f(0) = 270. We can use this information to find the value of a:

f(0) = a(0 + 3)^3(0 - 2) = 270

a = 270 / [(-2)(3)^3]

a = 270 / (-54)

a = -5

Now we can write the polynomial with the determined value of a:

f(x) = -5(x + 3)^3(x - 2)

This is the polynomial of the lowest degree that meets the given conditions.

Answer:

48

Step-by-step explanation:

tell me if im wrong pls

Answer:

141

Step-by-step explanation:

<1 and the angle measuring 39 degrees form a straight lines so they sum to 180 degrees.

<1 +39 = 180

Subtract 39 from each side

<1 +39-39 = 180-39

<1 = 141

Answer:

141 degrees

Step-by-step explanation:

Angle 1 is  on the straight line with 39 degree angle together would = 180

180 - 39 = 141 degrees

(17) Find the least square number which is exactly divisible by each of the numbers

The answer is 3

(18) Find the least square number which is exactly divisible by each of the numbers

8, 12, 15 and 20.

The answer is 4

Answer:17) 5400

18)3600

Step-by-step explanation:

Answer:

-8-2m

Step-by-step explanation:

Using distributive property

Hey there! :-)

The Distributive Property states the following:

a(b+c)=ab+ac

Where we distribute a by multiplying it times b and c

Now, let's simplify our expression:

-2(4+m)

-8-2m

or

-2m-8

Hence, the final answer is

[tex]\boxed{\boxed{\bold{-2m-8}}}[/tex]

Hope everything is clear.

Let me know if you have any other queries; if so, please comment.

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P.S. Sorry for the late response!

Answer:

B

Step-by-step explanation:

Answer:

1/12 of the original

Step-by-step explanation:

If you split 1/4 into 3 equal pieces, then each friend gets 1/12 of the original cake

System #1

2x + 3y = 12   and  4x + 3y = 18

I'd use elimination on this one; we subtract equations and the 3y disappears,

2x = 6

x = 3

3y = 18-4x = 18 - 4(3) = 18 = 12 = 6

y = 2

System #2

y = 2x +1  and  y =-3x -2

Here I'd use elimination; we have two things equal to y, we eliminate y by setting the right sides equal to each other,

2x + 1 = -3x - 2

5x = -3

x = -3/5

y = 2x+1 = -1/5

check y=-3x -2 = 9/5 - 10/5 = -1/5, good

System #3

x = 2y + 5  and x + 3y = 25

Here I'd use substitution.   The first equation is for x in terms of y; if we substitute it into the second equation we'll just have an equation in y.

(2y + 5) +3y = 25

5y + 5 =25

5y = 20

y = 4

x = 2y+5 = 13

Answer:

8 acres of land they did not plant the corn.

Step-by-step explanation:

GIven:

There are 25 acres of land on a farm.

The owners planted corn on 68 percent of the land.

Now, to find the acres they did not plant the corn.

Total acres of land on the farm = 25 acres.

Rate of land owners planted the corn = 68%.

Now, to get the acres of land owners planted the corn:

[tex]68\%\ of\ 25\\\\=\frac{68}{100} \times 25\\\\=0.68\times 25\\\\=17\ acres.[/tex]

Thus, 3.4 acres of land owners planted the corn.

Now, to get the acres land owners did not planted the corn we subtract the acres of land owners planted the corn from the total acres of land:

[tex]25\ acres-17\ acres\\\\=8\ acres.[/tex]

Therefore, 8 acres of land they did not plant the corn.

Answer:

True

Step-by-step explanation:

If the coefficient is -1 then the variable will have a negative sign in front of it.

Example: (-x)

If the coefficient is 1 then the variable will stand alone.

Example:  (x)

Answer:

True

Step-by-step explanation:

An example of a variable "without" a coefficient is x or -x. There is no number beside x, meaning there is no visible coefficient. And when there is no visible, coefficient, the variable is multiplied by 1 or -1 (the negative sign determines whether the variable is negative or not).

Answer:

9.434 X 10^66

Step-by-step explanation:

2.34 X 10^65  +  9.2 X 10^66    (First, you have to manipulate the exponents to bring them to the same index, i.e. the same power)

We can say that 2.34 X 10^65 = 0.234 X 10^66

Now that the indexes are equivalent, we can proceed to add the two bases together.

0.234 X 10^66  +  9.2 X 10^66

= (0.234  +  9.2) X 10^66

= 9.434 X 10^66

The sum of [tex]\(2.34 \times 10^{65}\)[/tex]and [tex]\(9.2 \times 10^{66}\)[/tex] is[tex]\(9.434 \times 10^{66}\)[/tex]

When adding numbers in scientific notation, it's crucial to align their exponents. In the case of[tex]\(2.34 \times 10^{65}\)[/tex] and [tex]\(9.2 \times 10^{66}\),[/tex] they don't initially share the same exponent. To rectify this, we need to adjust the first number.

First, express[tex]\(2.34 \times 10^{65}\)[/tex]as [tex]\(0.234 \times 10^{66}\)[/tex], moving the decimal point one place to the left. Now, both numbers are in the form[tex]\(A \times 10^{66}\),[/tex]making them compatible for addition.

Next, add the coefficients:[tex]\(0.234 + 9.2 = 9.434\).[/tex]

So, the result is[tex]\(9.434 \times 10^{66}\).[/tex] This number is significantly larger than either of the original numbers. In essence, we're combining a quantity in the tens (0.234) with one in the tens of billions (9.2), resulting in a massive number in the tens of billions of billions (9.434) times 10 raised to the power of 66.

In practical terms, this means that if you were to multiply[tex]\(2.34 \times 10^{65}\)[/tex]by 10 and then add[tex]\(9.2 \times 10^{66}\)[/tex]to it, you would have [tex]\(9.434 \times 10^{66}\)[/tex] as your final answer. This demonstrates the remarkable flexibility and ease of handling extremely large numbers using scientific notation.

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Answer:

wait is that rlly u?

Step-by-step explanation:

its me ethan

Answer:

50.24

Step-by-step explanation:

Take the diameter and multiply by 3.14 so 16 times 3.14

Answer:

State that the circunference of a circle is equal to:

[tex]C=\pi d[/tex], where C is the circumference and d is the diameter

So, once d = 16 in

Therefore, [tex]C=16\pi[/tex] in

The third number line represents the  compound inequality n < –2 or n ≥ 4.

A number system is defined as a system of writing to express numbers.

The given compound inequality is n < –2 or n ≥ 4

We can use a combination of a less than (<) symbol and a greater than or equal to (≥) symbol to represent the inequality.

The third number line represents the inequality n < –2 or n ≥ 4.

The less than symbol indicates that n must be less than -2, while the greater than or equal to symbol indicates that n must be greater than or equal to 4.

The open circle at -2 indicates that n is not included in the solution set for n < -2,

The closed circle at 4 indicates that n is included in the solution set for n ≥ 4.

Hence,  third number line represents the  compound inequality n < –2 or n ≥ 4.

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Answer:

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer: 6 (pi)

Step-by-step explanation:

Feta/3 = (arc)/Radius

The length of arc AB is approximately 18 centimeters.

The arc length ([tex]s[/tex]) of a circle section, in centimeters, is defined by the following formula:

[tex]s = \alpha \cdot r[/tex]   (1)

Where:

If we know that [tex]\alpha = \frac{\pi}{3}\,rad[/tex] and [tex]r = 18\,cm[/tex], then the length of the arc is:

[tex]s = \frac{\pi}{3}\cdot (18\,cm)[/tex]

[tex]s \approx 18.850\,cm[/tex]

The length of arc AB is approximately 18 centimeters. [tex]\blacksquare[/tex]  

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Answer:

D

Step-by-step explanation:

The first unknown integer will be x. The second one will be y.

x^2 - xy = 100

This is the same one as

x^2 - xy - 100 = 0

Answer: The required probability is 0.4375.

Step-by-step explanation:

Since we have given that

Probability of having risk of heart attack = 75%= 0.75

Probability of having reliability of the stress test = 70%

Probability of not having risk of heart attack =1-0.75 = 0.25

Probability of not having reliability of the stress test = 1-0.70 = 0.30

So, the probability that James will not have a heart attack and that the test predicts he will would be :

P(not having heart attack | correct test) is given by :

[tex]=\dfrac{0.25\times 0.7}{0.25\times 0.7+0.75\times 0.3}\\\\=\dfrac{0.175}{0.175+0.225}\\\\=\dfrac{0.175}{0.4}\\\\=0.4375[/tex]

Hence, the required probability is 0.4375.

Answer:

if barbecue chips don't have any votes then D is the answer, if they do have votes then the answer may be A

Step-by-step explanation:

Answer:

Its barbecue crisps because no one choosed it !

Step-by-step explanation:

he payed 8.10$

bobby wasted 14.4 on the red ribbon

bobby wasted 6134.4  on yellow ribbon

together he wasted 6148.8

Answer:

$ 8.1

Step-by-step explanation:

To find 4 1/2 ft of cable wire you need to find what one foot of cable wire is which is $1.80.

So now add $1.80 four times:

1.80 + 1.80 + 1.80 + 1.80 =  7.20

It will cost $7.20 for four feet of cable wire

Now you have to do a half of $ 1.80

1.8 / 2 = 0.90

Now add 7.2 and 0.90 together

7.2 + 0.9 = 8.10

So Peter would need to buy $ 8.10 of cable wire for 4 1/2 ft.

Answer:

180 degrees

Step-by-step explanation:

It is a half circle

Answer:

21

Step-by-step explanation:

5×3=15

7×3=21

Answer:

Step-by-step explanation:

a) The denominators of variable terms is 5 and 3

As both are prime, least common denominator = 5*3 = 15

b) The denominators of constant terms is 7 and 3

Least common denominator = 7*3 = 21

Answer:

(a) There is 95% confidence that the true proportion of dog owners who greet their dogs first is between 0.475 and 0.775.

(b) The point estimate is 0.625. The margin of error is 0.15.

(c) It is plausible that the true proportion of all owners who greet their dog first is 66%.

Step-by-step explanation:

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval. Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

In statistic, point estimation comprises of the use of sample data to estimate a distinct data value (known as a point estimate) which is to function as a "best guess" or "best estimate" of an unidentified population parameter. The point estimate of the population mean (µ) is the sample mean ([tex]\bar x[/tex]).

The  (1 - α)% confidence interval for population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\times \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this interval is:

[tex]MOE=\frac{UL-LL}{2}[/tex]

For the hypothesis test, if the confidence interval consist of the null value of the parameter then the null hypothesis is accepted or else rejected.

The 95% confidence interval for the population proportion of owners who greet their dog first is,

CI = (0.475, 0.775)

(a)

The 95% confidence interval for the population proportion, (0.475, 0.775), implies that there is a 0.95 probability that the true proportion of dog owners who greet their dogs first is between 0.475 and 0.775.

Or, there is 95% confidence that the true proportion of dog owners who greet their dogs first is between 0.475 and 0.775.

(b)

The point estimate of the population proportion (p) is the sample mean ([tex]\hat p[/tex]).

Compute the point estimate from the 95% confidence interval as follows:

Point estimate = (UL + LL)/2

                        [tex]=\frac{0.775+0.475}{2}\\=0.625[/tex]

The point estimate is 0.625.

Compute the margin of error as follows:

[tex]MOE=\frac{UL-LL}{2}=\frac{0.775-0.475}{2}=0.15[/tex]

The margin of error is 0.15.

(c)

The hypothesis to test whether the proportion of all owners who greet their dog first is 66% is:

H₀: The proportion of all owners who greet their dog first is 66%, i.e. p = 0.66

Hₐ: The proportion of all owners who greet their dog first is not 66%, i.e. p ≠ 0.66.

The 95% confidence interval for the population proportion of owners who greet their dog first is,

CI = (0.475, 0.775)

The 95% confidence interval consists of the null value, i.e. p = 0.66.

The null hypothesis was failed to rejected.

Thus, it is plausible that the true proportion of all owners who greet their dog first is 66%.

Answer:

Step-by-step explanation:

It's A. 90% confidence that between 42.5% and 47.9% of Americans own a dog

Answer:

b

Step-by-step explanation: