Question 2 options: It is known that 50% of adult workers have a high school diploma. If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma

Answer:

a or c

Step-by-step explanation:

Answer:

Is there suppose to be a picture?

Step-by-step explanation:

Answer:

Because she liked Augle more than the other child

Step-by-step explanation:

She didn't want him to go to school so that she could spend the day with her favorite child

Answer:

0.222

Step-by-step explanation:

Given  that:

For Type A coins = 3

The probability of head in a type A coin i.e. (p) = 0.4

Then, the probability of getting a tail (q) = 1 - p = 1 - 0.4 = 0.6

For Type B coins = 7

The probability of head in a type B coin i.e. (p) = 0.6

Then, the probability of getting a tail (q) = 1 - p = 1 - 0.6 = 0.4

One person who tosses a coin three times get a probability of obtaining a head twice.

Using, the formula:

=[tex]^nC_r \times p^r \times q^{n-r}[/tex]

For Type A coin;

The probability of getting two heads in three tosses is:

[tex]= ^3C_2 \times 0.4^2 \times 0.6^{1}[/tex]

[tex]=\dfrac{3!}{2!(3-2)!} \times 0.4^2 \times 0.6^1[/tex]

= 0.288

For Type B coin;

The probability of getting two heads in three tosses is:

[tex]= ^3C_2 \times 0.6^2 \times 0.4^{1}[/tex]

[tex]=\dfrac{3!}{2!(3-2)!} \times 0.6^2 \times 0.4^1[/tex]

= 0.432

Since we have two heads out of three tosses, the probability that the coin is type A is = (P) of choosing coin A × (P) of obtaining two heads from three tosses) / total probability of getting two heads from three tosses.

However;

(P) of choosing coin A = 3/10 = 0.3

(P) of choosing coin B = 7/10 = 0.7

∴

Given that, we obtain two head from three tosses, the (P) that the coin type is A is:

[tex]= \dfrac{(0.3 \times 0.288)}{ (0.3 \times 0.288 + 0.7 \times 0.432)}[/tex]

[tex]= \dfrac{(0.0864)}{ (0.0864 + 0.3024)}[/tex]

= 0.222

Answer:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Answer:

no

Step-by-step explanation:

there is a difference between these two integers as 9.91 is 0.01 more then 9.0,

they are therefor not equivalent

Answer:

A. [tex]x^2 = (4x - 1)^2 + (6x + 7)^2[/tex]

Step-by-step explanation:

The question seems to be incomplete. However, we'll make the following assumption.

[tex]Opposite = 6x + 7[/tex]

[tex]Adjacent = 4x - 1[/tex]

[tex]Hypothenuse = x[/tex]

Pythagoras theorem states that:

[tex]Hypothenuse^2 = Opposite^2 + Adjacent^2[/tex]

Substitute values for Hypothenuse, Opposite and Adjacent.

This gives

[tex]x^2 = (6x + 7)^2 + (4x - 1)^2[/tex]

or

[tex]x^2 = (4x - 1)^2 + (6x + 7)^2[/tex]

From the list of given options.

A answers the question

Answer:

The answer is D since it equals

x < -2

Answer:

Dw I gotchu. It's D because it' the most reasonable for this problem.

Answer:

Gabriella will make $61 more than Mila after 5 years

Step-by-step explanation:

Gabriella Data

Principal Amount P= $73,000

Rate r = 3% or 0.03

Compounded continuously

Time t = 5 years

The formula used is: [tex]A=Pe^{rt}[/tex]

Putting values and finding A

[tex]A=Pe^{rt}\\A=73000e^{0.03*5}\\A=73000e^{015}\\A=84813.899\\A\approx84814[/tex]

So, After 5 years Gabriella will have $84814

Mila Data:

Principal Amount P= $73,000

Rate r = 3% or 0.03

Compounded quarterly n = 4

Time t = 5 years

The formula used is:[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values and finding A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=73000(1+\frac{0.03}{4})^{4*5}\\A= 73000(1+0.0075)^{20}\\A= 73000(1.0075)^{20}\\A=73000(1.161)\\A=84753[/tex]

So, After 5 years Mila will have $84753

Now subtracting to find the difference 84814-84753 = 61

So, Gabriella will make $61 more than Mila after 5 years

Answer:

C

Step-by-step explanation:

In A and B, the numbers involved in expressions are integers.

Hence, they can be easily added or subtracted.

In C, the numbers involved in expression are fractions which are not grouped together.

They can be added but by using associative property, it becomes much more easier.

That is, grouping fractions.

Answer:C

Step-by-step explanation:

Answer:

200 sheets

Step-by-step explanation:

Divide 5,000 by 25 to get 200 sheets of paper per box.

Answer:

750 pieces of paper

Step-by-step explanation:

can't

Answer:

the variable

Step-by-step explanation:

i got it right on edge :)

Answer:

the variable

Step-by-step explanation:

Edg 2021

9514 1404 393

Answer:

  5 + (-2)

Step-by-step explanation:

starting with: 5 - 2

step 1: 5 + ( )

step 2: 5 + (-2)

Answer:

102

Step-by-step explanation:

1.2*85=102

Answer:

Step-by-step explanation:

A.85 pizzas * 20%= 17 additional pizzas for total of 102 pizzas

B. If you are using the 102 pizzas:

65/102= 63.73% of the 102 pizzas so a decrease.

If  you are going by the 85 pizzas:

65/85= 74.47% decrease from original 65 pizza

Answer:

You can find the distance between two points in different quadrants having the same x-coordinates by finding the sum of the absolute values of the y-coordinates.

Step-by-step explanation:

Answer:

15.6

Step-by-step explanation:

Give brainliest if correct pls

Answer:

15.6

Step-by-step explanation:

Answer:

3) Equation of line is: 5x-8y+34=0

4) Equation of line is: 5x+y+5=0

Step-by-step explanation:

3) Equation of line parallel to [tex]5x-8y+12=0[/tex] and through point (-2,3)

When two lines are parallel they have same slope.

Converting the given equation [tex]5x-8y+12=0[/tex] to Slope intercept form i.e [tex]y=mx+b[/tex]

[tex]5x-8y+12=0\\-8y=-5x-12\\y=-\frac{5x}{-8}-\frac{12}{-8}\\y= \frac{5x}{8}+\frac{3}{2}[/tex]

Now comparing with [tex]y=mx+b[/tex] we get value of m i.e 5/8 which is slope of line.

Now, finding y-intercept using point (-2,3) and slope 5/8

[tex]y=mx+b\\3=\frac{5}{8}(-2)+b\\3=-\frac{5}{4}+b\\b=3+\frac{5}{4}\\b=\frac{3*4+5}{4}\\b=\frac{12+5}{4}\\b=\frac{17}{4}[/tex]

So, y-intercept is b= 17/4

The required equation is:

[tex]y=mx+b\\y=\frac{5x}{8}+\frac{17}{4}[/tex]

Writing in Standard form

[tex]y=\frac{5x}{8}+\frac{17}{4}\\y=\frac{5x+17*2}{8} \\y=\frac{5x+34}{8} \\8y=5x+34\\5x-8y+34=0[/tex]

So, Equation of line is: 5x-8y+34=0

4) Equation of line perpendicular to [tex]x-5y+2=0[/tex] and through point (-2,5)

When two lines are perpendicular they have opposite slope i.e m=-1/m.

Converting the given equation [tex]x-5y+2=0[/tex]  to Slope intercept form i.e [tex]y=mx+b[/tex]

[tex]x-5y+2=0\\-5y=-x-2\\y=-\frac{x}{-5}-\frac{2}{-5}\\y= \frac{x}{5}+\frac{2}{5}[/tex]

Now comparing with [tex]y=mx+b[/tex] we get value of m i.e 1/5 which is slope of given line.

Slope of required line will be: m=-1/m = -5

Now, finding y-intercept using point (-2,5) and slope -5

[tex]y=mx+b\\5=-5(-2)+b\\5=10+b\\b=5-10\\b=-5[/tex]

So, y-intercept is b= -5

The required equation is:

[tex]y=mx+b\\y=-5x-5[/tex]

Writing in Standard form

[tex]y=-5x-5\\5x+y+5=0[/tex]

So, Equation of line is: 5x+y+5=0

Answer:

A

Step-by-step explanation:

Answer:

give more information

Step-by-step explanation:

sorry

Answer:

-6/14, -12/28,-24/56, and -48/112.

Hope this helps plz hit the crown and friend me :D

Answer:

6/14, 9/21, 12/28, 15/35

Answer:

0.34  x 0.38

=0.1292

Step-by-step explanation:

Hopefully this helps, if not HMU and I will try my best to get you a better answer! :)

Good luck! <3

Answer:

Sorry i would help but the paper is unclear

Step-by-step explanation:

Answer:

2800 lightbulbs

Step-by-step explanation:

Divide 56 by 2% to cancel out the multiplication used to find the amount of defective lightbulbs.

Answer:

-8

Step-by-step explanation:

Answer:

Four times a plus b equals nine times a

Answer:

The answer is 3+6=9. u=3 .

Answer:

AB = 8

Step-by-step explanation:

A is between B and C. If BC= 8x + 5, AB= 2x + 4, and AC= 3x + 7, then find AB

Step 1

Find x

BC = AB + AC

8x + 5 = 2x + 4 + 3x + 7

Collect like terms

8x - 2x - 3x = +4 + 7 - 5

3x = 6

x = 2

Step 2

Find AB

= AB= 2x + 4

AB = 2(2) + 4

AB = 4 + 4

AB = 8

Answer:

the answer is -16.7

Step-by-step explanation:

i did the math 16 + .7 =-6.7  answer -16.7

Answer:

Hope this helps!!!

Step-by-step explanation:

6(2−3)

Answer:

6(2n - 3)

Step-by-step explanation: