f(j)=6j+5.
Find f(1/3)

F(j)=6j+5. Find F(1/3)

Answers

Answer 1

Answer:

f(j)=6j+5

f(1/3)=6*(1/3)+5

=2+5

=7

F(j)=6j+5. Find F(1/3)
Answer 2
f(1/3)=6*(1/3)+5
f(1/3)=3+5
f(1/3)=7

Related Questions

What is the length of segment A.B.

Answers

Answer:

The distance between A and B is l(AB) = 13 units

Step-by-step explanation:

Given:

let,

A ≡ ( x1, y1 ) ≡ ( 0, 12 )

B ≡ ( x2, y2 ) ≡ ( 5, 0 )

To Find:

Length AB = ?

Solution:

Distance Formula for the distance between the two points ( x1, y1 ) and ( x2, y2 ) we have,

[tex]l(AB) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}[/tex]

On substituting the above values we will get,

[tex]l(AB) = \sqrt{((5-0)^{2}+(0-12)^{2} )}\\l(AB)=\sqrt{(5^{2} +(-12)^{2} } \\l(AB)=\sqrt{(25+144)}\\ l(AB)=\sqrt{169} \\l(AB)=13\ unit[/tex]

Therefore the distance between A and B is l(AB) = 13 units

suppose that 17 inches of wire costs 51 cents. at the same rate, how much ( in cents ) will 33 inches of wire cost?

Answers

[tex]\bf \begin{array}{ccll} inches&cents\\ \cline{1-2} 17&51\\ 33&x \end{array}\implies \cfrac{17}{33}=\cfrac{51}{x}\implies 17x=33\cdot 51\implies x = \cfrac{33\cdot 51}{17} \\\\\\ x = 33\cdot \cfrac{51}{17}\implies x = 33\cdot 3\implies x = 99[/tex]

Final answer:

To find the cost of 33 inches of wire, we calculate the cost per inch from the given 17 inches costing 51 cents, which is 3 cents per inch, and then multiply by 33 inches to get a total cost of 99 cents.

Explanation:

The student is asking to determine the cost of 33 inches of wire based on the given rate of 17 inches costing 51 cents. To solve this, we can set up a proportion where we compare the given inches of wire to the given cost and then find the cost for the desired inches of wire.

Step-by-Step Calculation:

First, we determine the cost per inch of wire by dividing the total cost by the total length of wire: 51 cents ÷ 17 inches = 3 cents per inch.

Next, we multiply the cost per inch by the desired length of wire to find the total cost: 3 cents/inch × 33 inches = 99 cents.

Therefore, 33 inches of wire will cost 99 cents at the same rate.

9. Alicia Martin's savings account has a principle of $1,200. It earns 6% interest compounded quartly

for two quarters

10. Aubrey Daniel's savings account has a principle of $5,725. It earns 4% interest compounded

quarterly for 3 years.

11. The principle of Angelo Carrera's savings account is $9,855. It earns 6% interest compounded

quarterly for 2 quarters.

12. Milo Simpson deposited $860 in a new regular savings account that's earns 5.5% interest

compounded semiannually for 1 year,

13. Jana Lacey deposits $4,860in a new credit union savings account on the first day of the quarter.

The principle earns 4% interest compounded quarterly for 6 months.

Answers

Answer:

[tex]9) \$1236.27\,10)\,\$6451.07\, 11)\,\$10,152.87 \,12)\,\$907.95 \,13)\,\$4957.69[/tex]

Step-by-step explanation:

9) Since Alicia Martin's savings earns 6% quarterly for two quarters then:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex] ⇒ Amount (A), Principle (P), rate (r) in decimal form, number of compoundings (n) a year and t, in year or its fractions.

[tex]A=P(1+\frac{r}{n})^{nt}\Rightarrow A=1200(1+\frac{0.06}{4})^{4*\frac{1}{2}}\Rightarrow A=\$1236.27[/tex]

10) Aubrey Daniel's case:

[tex]A=P(1+\frac{r}{n})^{nt}\Rightarrow A=5725(1+\frac{0.04}{4})^{4*3}\Rightarrow A\approx \$6451.07[/tex]

11) As for Angelo, similarly to Alicia.

[tex]A=P(1+\frac{r}{n})^{nt}\Rightarrow A=9855(1+\frac{0.06}{4})^{4*\frac{1}{2}}\Rightarrow A\approx \$10,152.87[/tex]

12) Simpson's. For semiannual n=2

[tex]A=P(1+\frac{r}{n})^{nt}\Rightarrow A=860(1+\frac{0.055}{2})^{2*1}\Rightarrow A\approx \$907.95[/tex]

13) Jana Lacey amount:

[tex]A=P(1+\frac{r}{n})^{nt}\Rightarrow A=4860(1+\frac{0.04}{4})^{4*\frac{1}{2}}\Rightarrow A\approx \$4957.69[/tex]

Solve x2 – 8x = 3 by completing the square. Which is the solution set of the equation?

(4 minus StartRoot 19 EndRoot comma 4 + StartRoot 19 EndRoot)
(4 minus StartRoot 11 EndRoot comma 4 + StartRoot 11 EndRoot)
(4 minus StartRoot 8 EndRoot comma 4 + StartRoot 8 EndRoot)
(4 minus StartRoot 3 EndRoot comma 4 + StartRoot 3 EndRoot)

Answers

Answer:

x = 4 ± [tex]\sqrt{19}[/tex]

Step-by-step explanation:

Given

x² - 8x = 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 3 + 16

(x - 4)² = 19 ( take the square root of both sides )

x - 4 = ± [tex]\sqrt{19}[/tex] ( add 4 to both sides )

x = 4 ± [tex]\sqrt{19}[/tex], that is

x = 4 - [tex]\sqrt{19}[/tex], 4 + [tex]\sqrt{19}[/tex]

Final answer:

The solution set for the quadratic equation x² - 8x = 3 is found by completing the square, resulting in (4 - √19, 4 + √19).

Explanation:

To solve the quadratic equation by completing the square, we start with x² – 8x = 3. First, we move the constant term to the other side of the equation:

x² – 8x + ____ = 3 + ____

Now we need to find a number to fill in the blanks that makes the left side a perfect square trinomial. To do this, take half of the coefficient of x, which is -8/2 = -4, and then square it, which gives us 16. Add 16 to both sides:

x² – 8x + 16 = 3 + 16

x² – 8x + 16 = 19

The left side is now a perfect square, (x – 4)² = 19. Taking the square root of both sides gives us:

x – 4 = ±√19

Add 4 to both sides to solve for x:

x = 4 ±√19

Therefore, the solution set for the equation x² – 8x = 3 is (4 – √19, 4 + √19).

What is y+x=5 in function notation? The dependent variable is y.​

Answers

Answer:

f(x)=5-x

Step-by-step explanation:

Final answer:

The equation y + x = 5 in function notation is f(x) = 5 - x, done by isolating the dependent variable, y, and expressing it as a function of x.

Explanation:

The equation y + x = 5 can be rewritten in function notation by isolating the dependent variable, y, which is standard procedure in function notation. To isolate y, we need to subtract x from both sides of the equation. Thus, the equation y + x = 5 becomes y = 5 - x. In function notation, where y is typically written as f(x), this would become f(x) = 5 - x.

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what is the solution to this equation 8x-5(x-3)=18​

Answers

Answer:

x=1

Step-by-step explanation:

use distributive property for the negative 5, then simplify, then bring the 15 to the other side, then divide by 3. picture included.



Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts​ (a) and​ (b) below.

Male Female

16,051 24,017

26,378 12,962

1440 17,644

7875 17,399

18,237 12,486

15,728 16,581

14,306 16,533

26,823 18,967


a. Use a 0.05 significance level to test the claim that among​ couples, males speak fewer words in a day than females.

In this​ example, mu Subscript d is the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis​ test?


The test statistic is -0.35

The P-value is 0.369

What is the conclusion based on the hypothesis​ test?

Answers

Final answer:

We are testing the claim that males speak fewer words than females. With a p-value of 0.369, which is greater than the significance level of 0.05, we fail to reject the null hypothesis. Therefore, no significant evidence supports the claim that males speak fewer words than females.

Explanation:

The objective here is to test the claim that on average, males speak fewer words in a day than females. To do this, we compare two means using a hypothesis test for paired data.

The null hypothesis (H0) is that there is no difference between the mean number of words spoken by males and females. The alternative hypothesis (Ha) is that the mean number of words spoken by males is less than that spoken by females.

Since the p-value (0.369) is greater than the significance level of 0.05, we fail to reject the null hypothesis. This means we do not have significant evidence to support the claim that males speak fewer words than females.

A key takeaway from this is that the test statistic and p-value are critical elements in hypothesis testing. They determine whether or not you have significant evidence to reject the null hypothesis.

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started a new ixl and i have no idea how to do this

Answers

Answer:

y = - [tex]\frac{1}{6}[/tex] x - [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Rearrange 3x + 18y = - 16 into this form

Subtract 3x from both sides

18y = - 3x - 16 ( divide all terms by 18 )

y = - [tex]\frac{3}{18}[/tex] x - [tex]\frac{16}{18}[/tex], that is

y = - [tex]\frac{1}{6}[/tex] x - [tex]\frac{8}{9}[/tex] ← in slope- intercept form

Abigail bought 15 chicken wings for $18. What was the cost of the wings in wings per dollar?

Answers

Answer:

$1.20 per chicken wing

Step-by-step explanation:

15 chicken wings = $18

1 chicken wing = $18/15 = $6/5 = $1.20

Divide 13 by v. Then, subtract 7.

Which of the following expressions matches the statement above?

A. 13 ÷ (v - 7)
B. 13 ÷ (7 - v)
C. 13 ÷ v - 7
D. v ÷ 13 - 7

Answers

Correct answer is C, you would do the order of operation 13\v then take that and subtract 7

Hello there. May somebody help me simplify this problem? It would be very kind.
It is about radicals etc.

Answers

Answer:

27 / (4x⁶y⁸)

Step-by-step explanation:

[tex]\frac{4(3x^{2}y^{4})^{3}}{(2x^{3}y^{5})^{4}}[/tex]

When raised to a power, multiply the exponents.

[tex]\frac{4(3^{3}x^{6}y^{12})}{2^{4}x^{12}y^{20}} \\\\\frac{2^{2}3^{3}x^{6}y^{12}}{2^{4}x^{12}y^{20}}[/tex]

When dividing, subtract the exponents.

[tex]2^{2-4}3^{3}x^{6-12}y^{12-20}\\2^{-2}3^{3}x^{-6}y^{-8}[/tex]

Move negative exponents to the denominator.

[tex]\frac{3^{3}}{2^{2}x^{6}y^{8}}\\\frac{27}{4x^{6}y^{8}}[/tex]

x² + 4x + 3
How is this solved step by step it needs to be in factored form

Answers

Do c=b meaning that you need to number that multiply to c but the sum of those numbers give u the value of b. The answer would be (x+3)(x+1) because both are positive.

Answer:

[tex]\large\boxed{x^2+4x+3=(x+3)(x+1)}[/tex]

Step-by-step explanation:

[tex]x^2+4x+3\\\\\text{We are looking for a and b, for which a + b = 4 and (a)(b) = 3}\\\\\text{a=3,\ b=1}\\\\=x^2+3x+1x+3\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\=x\underbrace{(x+3)}_{(*)}+1\underbrace{(x+3)}_{(*)}\qquad\text{use the distributive property}\\\\=\underbrace{(x+3)}_{(*)}(x+1)[/tex]

Which of the following expressions represents the statement below?

two times the sum of a number and 9


A. 9n + 2
B. 9(n + 2)
C. 2n + 9
D. 2(n + 9)

Answers

Option D. 2(n + 9) is the right answer

Step-by-step explanation:

The word problems are converted into mathematical problems to solve simply.

for the given problem

"two times the sum of a number and 9"

Let n be a number then

when there is and between two things they are performed first then next operation is performed so

the sum of a number and 9

[tex]n+9[/tex]

Then

two times the sum of a number and 9

[tex]2(n+9)[/tex]

Hence,

Option D. 2(n + 9) is the right answer

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Final answer:

The correct expression is '2(n + 9),' which corresponds to choice D and represents two times the sum of a number and 9.

Explanation:

The expression that represents the statement 'two times the sum of a number and 9' is D. 2(n + 9). This is because you first need to find the sum of the number (let's call it n) and 9, which is represented as (n + 9). Then, the statement says 'two times' which means you need to multiply that sum by 2, resulting in 2 × (n + 9).

MaryAnn is printing pictures from her recent trip to Europe. An online print shop charges $0.15 per
4x6 inch print, along with a flat rate shipping charge of $3.00. If MaryAnn has $35 to spend, how
many prints can she order?

Answers

Answer:

213

Step-by-step explanation:

Let

x = number of picturesy = total price

The relationship between x and y can be represented through a linear equation.

y = a . x + b

where,

a is the slope

b is the y-intercept

The slope refers to the price per print, that is, a = $0.15/p.

Then,

y = $0.15/p . x + b

Even if x = 0, there is a fixed cost of $3.00 (y = $3.00). We can replace these values in the expression above.

$3.00 = $0.15/p . 0 + b

b = $3.00

The final equation is:

y = $0.15/p . x + $3.00

If MaryAnn has $35,

$35 = $0.15/p . x + $3.00

$32 = $0.15/p . x

x = 213 p

She can order 213 prints.

Which function has the same graph as x + y = 11? A. f(x) = -y + 11 B. f(x) = -x + 11 C. f(x) = x − 11 D. f(x) = y − 11

Answers

The real is B.) f(x) = -x + 11

A.) f(x) = -y + 11 is the wrong answer.

I have pictures to prove that they are the same in the graph as x + y = 11.

Hope this will help a lot more than the other answer.

Answer:

B.) f(x) = -x + 11

Step-by-step explanation:

What is .001 as a fraction with a negative exponent.

Answers

Answer:

1/1000 or 1x10^(-3)

Step-by-step explanation:

0.001=1/1000 as a fraction

With a negative exponent?

You can write it into standard notation.

It's 1x10^(-3).

0.001 as a fraction with a negative exponent is 10⁻³.

To express the decimal 0.001 as a fraction with a negative exponent, we need to understand how negative exponents work with powers of ten. The decimal 0.001 is equivalent to the fraction [tex]\frac{1}{1000}[/tex], which can be written as [tex]\frac{1}{103}[/tex].

Using the concept of negative exponents, [tex]\frac{1}{103}[/tex] can be rewritten as 10⁻³. This is because a negative exponent indicates the inverse of the corresponding positive exponent. So, 0.001 = 10⁻³.

Summary in Steps:

Convert 0.001 to a fraction: [tex]\frac{1}{1000}[/tex].Express 1/1000 as 10⁻³ using the rule of negative exponents.

Therefore, 0.001 equals 10⁻³ as a fraction with a negative exponent.

Jackie has 6 skirts and 2 dresses. she has brown shoes and black shoes. if each choice is equally likely how much greater is the probability of her choosing a skirt and brown shoes than the probability of her choosing a dress and black shoes?​

Answers

Answer:

1/2

Step-by-step explanation:

both have equal chances

The required probabilities are 3/8 and 1/8 respectively.

What is probability?

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here: Jackie has 6 skirts and 2 dresses.

Total number of dresses=8

Thus the probability of picking a skirt is = 6/8

                                                                   =3/4

And the probability of picking a dress is =2/8

                                                             =1/4

Also, the probability of choosing either shoe is 1/2

Therefore the conditional probability that she chooses a skirt and brown shoes is = 3/4×1/2

              =3/8

Similarly Probability( dress+black shoes)=1/4×1/2

                                                                   =1/8

Hence, The required probabilities are 3/8 and 1/8 respectively.

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Plz help, It’s kinda easy I’m just kinda dumb ig :( 25+ points

Answers

Let x = (the height of the fourth plant)

Then the average of the four heights will be:
(70+71+72+x)/4
Simplify it to (213+x)/4

This average has to be at least 73 inches. Meaning, it has to be greater than or equal to 73.
(I don't have the sign for greater/equal so I'll type >=)

(213+x)/4 >= 73
This is the inequality. Just solve for x, and you have the answer.
(213+x) >= 292
x >= 79

Another way: (I think it's easier to do it like this in my head)
You need average 73.
Look at the heights of the plants you have now: how far are they from 73?
The first is 3 less, the second is 2 less, and the third is 1 less.
The 'total deficit'' is 6.
So to make the average be 73, you need to cancel out the deficit by making an equal overage (by 6).
If you can only add one more plant... that plant has to be 6 inches higher than the average you want. So 73+6=79.

Answer:

Let x = (the height of the fourth plant)

Then the average of the four heights will be:

(70+71+72+x)/4

Simplify it to (213+x)/4

This average has to be at least 73 inches. Meaning, it has to be greater than or equal to 73.

(I don't have the sign for greater/equal so I'll type >=)

(213+x)/4 >= 73

This is the inequality. Just solve for x, and you have the answer.

(213+x) >= 292

x >= 79

Another way: (I think it's easier to do it like this in my head)

You need average 73.

Look at the heights of the plants you have now: how far are they from 73?

The first is 3 less, the second is 2 less, and the third is 1 less.

The 'total deficit'' is 6.

So to make the average be 73, you need to cancel out the deficit by making an equal overage (by 6).

If you can only add one more plant... that plant has to be 6 inches higher than the average you want. So 73+6=79.

Step-by-step explanation:

A cylinder has a diameter of 6 ft and height of 9 ft. What is the volume of this cylinder?
work plsss

Answers

The answer is 254.47 ft

Step-by-step explanation:

V=pi×r^2×h

pi=3.14

r=d/2

r=6/2=3

v=(3.14)×3^2×9

=254.47 ft

Answer:

54ft

Step-by-step explanation:

The formula for volume is base *height

what is the equation of the line that passes through point (4, 12) and has a intercept of -2​

Answers

Answer:

[tex]\large\boxed{y=\dfrac{7}{2}x-2}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept → (0, b)

The formula of a slope:

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

We have the point (4, 12), and y-intercept b = -2 → (0, -2).

Substitute:

[tex]m=\dfrac{-2-12}{0-4}=\dfrac{-14}{-4}=\dfrac{14:2}{4:2}=\dfrac{7}{2}[/tex]

Finally:

[tex]y=\dfrac{7}{2}x-2[/tex]

find the values of x and y that satisfy the equation.
-10x+12i=20+3yi​

Answers

Answer:

x = -2

y = 4

Step-by-step explanation:

Given

[tex]-10x+12i=20+3yi[/tex]

Two complex numbers are equal when they have equal real and imaginary parts.

Equate real parts:

[tex]-10x=20\\ \\x=-\dfrac{20}{10}=-2[/tex]

Equate imaginary parts:

[tex]12=3y\\ \\y=\dfrac{12}{3}=4[/tex]

Final answer:

The values of x and y that satisfy the given complex equation are x = -2 and y = 4, found by equating the real and imaginary parts respectively.

Explanation:

To find the values of x and y that satisfy the equation -10x + 12i = 20 + 3yi, we need to equate the real parts and the imaginary parts of the complex numbers on both sides of the equation.

For the real parts, we have:
-10x = 20
=> x = -2

For the imaginary parts, we have:
12 = 3y
=> y = 4

So the solution for the equation is x = -2 and y = 4.

Which expression is equivalent to the given expression? 2(3a+2b−7) ​




A 5a+4b−5

B 6a+2b−7

C 6a+4b−7

D 6a+4b−14

Answers

The expression which is equivalent to the given expression; 2(3a+2b−7) is; 6a +4b -14

Equivalent expressions

The given expression is;

2(3a+2b−7)

Upon expansion by multiplying all elements in the parenthesis by 2; we have;

2(3a+2b−7) = 6a +4b -14

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Final answer:

By distributing the 2 across each term in the expression 2(3a+2b-7), the equivalent expression is 6a + 4b - 14, which corresponds to answer choice D.

Explanation:

To determine which expression is equivalent to 2(3a+2b-7), we need to distribute the 2 across each term in the parentheses. This means we'll multiply 2 by 3a, 2b, and -7 separately. Here's the step-by-step distribution:

2 × 3a = 6a2 × 2b = 4b2 × -7 = -14

Combining these results, we get the equivalent expression: 6a + 4b - 14, which matches answer choice D.

Select all irrational numbers.




4√

8√

10√

15√

36√

Answers

The irrational numbers would be:

8

10

15


Find the x- and y intercepts for the linear equation

4. 3x + 2y = 6

5. 4x – 9y = 36

6. x + y = -3

8. Xx - 3y = 12

Answers

4. 3x + 2y = 6

x-intercept = 2 ,  y - intercept = 3

5. 4x – 9y = 36

x-intercept = 9, y - intercept = -4

6. x + y = -3

x-intercept = -3, y - intercept = -3

8. x - 3y = 12

x-intercept = 12, y - intercept = -4

Step-by-step explanation:

To find the x-intercept we put y=0 in the equation and to find the y-intercept we put x = 0 in the equation

4. 3x + 2y = 6

Putting y = 0

[tex]3x + 2y = 6\\3x +2(0) = 6\\3x = 6\\\frac{3x}{3} = \frac{6}{3}\\x= 2[/tex]

Putting x=0

[tex]3x + 2y = 6\\3(0) + 2y = 6\\2y = 6\\\frac{2y}{2} = \frac{6}{2}\\y= 3[/tex]

5. 4x – 9y = 36

Putting y = 0

[tex]4x -9y = 36\\4x - 9(0) = 36\\4x = 36\\\frac{4x}{4} = \frac{36}{4}\\x = 9[/tex]

Putting x=0

[tex]4(0) -9y = 36\\-9y=36\\\frac{-9x}{-9} = \frac{36}{-9}\\x =-4[/tex]

6. x + y = -3

Putting y = 0

[tex]x+y=-3\\x+0 = -3\\x = -3[/tex]

Putting x=0

[tex]x + y = -3\\0+y=-3\\y=-3[/tex]

8. X - 3y = 12

Putting y=0

[tex]x - 3(0) = 12\\x -0 = 12\\x = 12[/tex]

Putting x = 0

[tex]0-3y = 12\\-3y = 12\\\frac{-3y}{-3} =\frac{12}{-3}\\y=-4[/tex]

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Find sin theta if theta is an angle in standard position and the point with coordinates (3, -4) lies on the terminal side of an angle.

Answers

Answer:

[tex]\sin \theta=-\frac{4}{5}[/tex]

Step-by-step explanation:

Given:

Angle is in standard position which means the starting ray is at the origin. The terminal side has coordinates (3, -4).

So, the 'x' value is 3 and 'y' value id -4.

Using Pythagoras Theorem, we find the hypotenuse.

Hypotenuse = [tex]\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5[/tex]

Now, using the sine ratio for the angle, we have

[tex]\sin \theta=\frac{Opposite}{Hypotenuse}\\\sin \theta=\frac{-4}{5}\\\sin \theta=-\frac{4}{5}[/tex]

Therefore, the value of [tex]\sin \theta[/tex] is [tex]-\frac{4}{5}[/tex].

The value is negative as the point (3, -4) lies in the fourth quadrant and sine ratio is negative in the fourth quadrant,

8 lb 1 oz − 3 lb 6 oz

Answers

Answer:

4.6875 is the answer

Step-by-step explanation:

First, lets put both into just ounces. (1lb = 16oz.)

8lb. 1oz. = 129oz.

3lb. 6oz. = 54oz.

Second, subtract.

129 - 54 = 75

Third, put into pounds and ounces.

75oz. = 4lb. 11oz.

_______

Best Regards,

Wolfyy :)

need help solving this ​

Answers

Answer:

p( <18 years old) =[tex]\frac{72162}{330623}=0.2183=21.83\%[/tex]. Here you evaluate the probability of finding people who are less than 18 years old, by comparing the amount of people who are less than 18 years old (72162), with to the total amount of people in the sample (330623).p( <18 years old /no health insurance)= [tex]\frac{7663}{46340} =0.1654=16.54\%[/tex]. This means that assuming that people does not have insurance (this happens in 46340 cases), in 7663 of this cases, besides not having insurances, the persons are lessthan 18 years old.This events are not independent, because the condition that should hold to obtain independece is that P(<18 years old/ no health insurance)= P(<18 years old), which would mean that, knowing that a person has not health insurance should not add any information to the main fact: that the person's age is below 18. If the equality does not hold, then, knowing that the person has not health insurance helps knowing about the age of the person.

8. Find the value of k, if (1-1) is a solution of the equation 3x-ky =8. Also, find the coordinates of
another point lying on its graph.​

Answers

Answer:

k = 5 and (6,2).

Step-by-step explanation:

Since (1,-1) is a solution of the equation 3x - ky = 8, so the point (1,-1) will satisfy the equation above.

Hence, putting x = 1 and y = -1 in the equation will give left-hand side = right-hand side.

So, 3(1) - k(-1) = 8

⇒ 3 + k = 8

k = 5 (Answer)

Therefore, the equation of the straight line is 3x - 5y = 8 ....... (1)

Now, putting x = 6 , then from equation (1) we get y = 2

Therefore, (6,2) is also a point on the graph of equation (1). (Answer)

In rhombus MOTH, angle HTM=(5x+6) degrees. If angle HMO=(12x-6)degrees, what is angle HMO?

Answers

Answer:

m∠HMO=102°

Step-by-step explanation:

we know that

In a Rhombus the diagonals bisect the angles and opposite angles are equal

In this problem

Angles HMO and HTO are opposite angles

m∠HMO=m∠HTO

m∠HTM=(1/2)m∠HMO ----> because the diagonals bisect the angles and opposite angles are congruent

substitute the values

[tex](5x+6)\°=(1/2)(12x-6)\°[/tex]

solve for x

[tex]10x+12=12x-6\\12x-10x=12+6\\2x=18\\x=9[/tex]

Find the measure of angle HMO

m∠HMO=(12x-6)°

substitute the value of x

m∠HMO=(12(9)-6)=102°

see the attached figure to better understand the problem

Helen uses 0.12
kilogram of nuts in each batch of granola
that she makes. If she makes 2.5 batches,
how many kilograms of nuts will she use?

Answers

The answer is .30 kilograms of nuts

Helen uses 0.3 kg of nuts for 2.5 kg of granola.

What is multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number.

Given that, Helen uses 0.12 kilogram of nuts in each batch of granola

that she makes, and she makes 2.5 batches,

For 1 batch she uses .12 kg of nuts, so for 2.5 kg she will use = 2.5*0.12 = 0.3 kg

Hence, Helen uses 0.3 kg of nuts for 2.5 kg of granola.

For more references on Multiplication, click;

https://brainly.com/question/5992872

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