Choose all the expressions that show this statement is true.

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

He bought 3/8 of a pound and ate 1/9 of it. The equation of this problem would be:

[tex]\frac{3}{8} * \frac{1}{9}[/tex] = amount he ate

Cancel the 3 on the numerator by dividing the denominator by 3.

[tex]\frac{1}{8} * \frac{1}{3}[/tex] = [tex]\frac{1}{24}[/tex]

Thus, he ate [tex]\frac{1}{24}[/tex] pounds of chips

Answer:

[tex](a)\ \{SSS\}[/tex]

[tex](b)\ \{FSSS\}[/tex]

[tex](c)\ \{FFSSS, SFSSS\}[/tex]

[tex](d)\ \{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}[/tex]

[tex](e)\ \{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}[/tex]

Step-by-step explanation:

Given

[tex]S\to[/tex] Success

[tex]F\to[/tex] Failure

[tex]n \to 3[/tex] Consecutive trials until S happens

[tex]Y \to[/tex] Number of trials

For every possible outcome, the last 3 must be SSS. So, we have:

[tex](a)\ Y = 3[/tex]

The only possibility here is: [tex]\{SSS\}[/tex]

because 3 trials implies that all outcomes must be S.

[tex](b)\ Y = 4[/tex]

The only possibility here is:

[tex]\{FSSS\}[/tex]

because 4 trials implies that the first outcome must be F

[tex](c)\ Y = 5[/tex]

The possibilities are:

[tex]\{FFSSS, SFSSS\}[/tex]

because 5 trials implies that the first and the second outcomes must be FS or SF.

[tex](d)\ Y = 6[/tex]

The possibilities are:

[tex]\{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}[/tex]

because 6 trials implies that the first three outcomes are: FFF, SSF and SFF

[tex](e)\ Y = 7[/tex]

The possibilities are:

[tex]\{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}[/tex]

because 7 trials implies that the first three outcomes are: FFFF, FSSF and SSFF and FFSF (similar to (e))

Answer:

299.64 ft

Step-by-step explanation:

The diagrammatic representation of the problem has been attached below :

Applying trigonometry :

We use the relation :

Tanθ = opposite / Adjacent

Tan 30 = 173 / d

0.5773502 = 173 / d

0.5773502d = 173

d = 173 / 0.5773502

d = 299.64 ft

Answer:

Here you go!, hope it helped. 68-32x

Answer:

36 is the answer I think :D

Answer:

No.

x-1 is not a factor of the polynomial

X-1 = 0

X = 1 ........(1)

put the value of X in given equation

2 (1)^3-3(1)^2-18(1)-8=0

2-3-18-8=0

-27 is not equal to 0.

x-1 is not factor of given equation....

Answer:

The margin of error for this estimate is of 14.79 yards per game.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.093

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.

This means that [tex]n = 20, s = 31.61[/tex]

What is the margin of error for this estimate?

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

[tex]M = 2.093\frac{31.61}{\sqrt{20}}[/tex]

[tex]M = 14.79[/tex]

The margin of error for this estimate is of 14.79 yards per game.

Answer:

Last answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

angle y =128 degree reason-angles x and y are supplementary angles

Answer:

x = 9

Step-by-step explanation:

The triangle given is an isosceles triangle because it has two equal sides. By implication, the two base angles that are opposite the two equal sides are equal to each other.

Therefore,

80° + 2(m<2) = 180° (sum of triangle theorem)

80 + 2(5x + 5) = 180

80 + 10x + 10 = 180

Add like terms

90 + 10x = 180

90 + 10x - 90 = 180 - 90 (substraction property of equality)

10x = 90

10x/10 = 90/10 (division property of equality)

x = 9

Answer:

12 kg, 1200 mm, 1200 ml (twice), 12 m, and 120 mm

Answer:

12,000 is 12

120 is 120

1.2 L is 1200

1200 is 120

0.12 is 12

Answer:

(9)(x)(y) or 9(x + y)

Step-by-step explanation:

I think A but not sure

Answer:

x = 11.85

Step-by-step explanation:

[tex]67 - 2x + \frac{89}{2} + 7 -8x = 0\\\\67 + \frac{89}{2}+7 = 8x + 2x\\\\\frac{134 + 89 +14}{2} = 10x\\\\10x = 118.5\\\\x = 11.85[/tex]

Answer:

[tex]x = 11 \frac{17}{20}[/tex] or [tex]\frac{237}{20}[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

$481.25

Step-by-step explanation:

The formula for simple interest is i = p*r*t, in which p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.

Here p = $3500, r = 0.055 and t =2.5 yrs, and so the simple interest is

i = ($3500.00)(0.055)(2.5 yr), or

i = $481.25

Answer:

33.9

Step-by-step explanation:

r = d/2

= 5.4

[tex]2\pi \: r[/tex]

[tex] = (2)(\pi)(5.4)[/tex]

=33.93

Step-by-step explanation:

draw the net

there are 3 squares, each with a L = 5m and W = 1.5 +1.5m

2 triangles with a base of 1.5 + 1.5 and a height of 2.6m

Area of a rectangle = L x W

" " Triangle = 0.5 x b x h

so youd write and solve 3 rectangles x ( 5 m x 1.5 + 1.5) + 2 triangles x (0.5 x (1.5 +1.5) x 2.6m)

also look up the equation for surface area for this shape. Should give you the same thing. This method makes it more intuitive

The entire group about which you want to draw conclusions is referred to as a population. A sample is a subset of the population from which you will collect data. The sample size is always smaller than the population's total size. A population in research does not always refer to people.

Answer:

B. 17.8

Step-by-step explanation:

I calculated it logically

Answer:

4t

Step-by-step explanation:

Note that teach term has the variable t in it. Also, note that if t is by itself, it actually means 1t. Combine the given constants:

5t + 1t - 2t

= (5t + 1t) - 2t

= (6t) - 2t

= 4t

4t is your answer.

~

Answer:

65

Step-by-step explanation:

9+9+9+9+9

or

9×5 both = 45

45+20 euros = 65

45 euros per 5 hours , + bonus the 20 euros = 65 in total.

Answer:

A, C and F.

Step-by-step explanation:

Equation of a line:

The equation of a line has two formats:

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

Slope-intercept format, in which m is the slope and b is the y-intercept(which is the value of x when y = 0).

And in point-slope form:

[tex]y - y(0) = m(x - x(0))[/tex]

In which (x(0),y(0)) is the point and m is the slope.

Slope:

When we have two points on a line, the slope is given by the change in y divided by the change in x. We have points (-2,4), (1,-2). So

Change in y: -2 - 4 = -6

Change in x: 1 - (-2) = 1 + 2 = 3. So

m = -6/3 = -2.

Equation in slope-intercept:

The y-intercept is y = 0, so b = 0. The equation in slope-intercept formula is:

[tex]y = -2x[/tex], so option A is marked.

Equation if point-slope:

Point (-2,4) means that [tex]x_0 = -2, y_0 = 4[/tex]. So

[tex]y - y(0) = m(x - x(0))[/tex]

[tex]y - 4 = -2(x - (-2))[/tex]

[tex]y - 4 = -2(x + 2)[/tex]

So option C is correct.

Point (1,-2) means that [tex]x_0 = 1, y_0 = -2[/tex]. So

[tex]y - y_0 = m(x - x(0))[/tex]

[tex]y - (-2) = -2(x - 1)[/tex]

[tex]y + 2 = -2(x - 1)[/tex]

So option F is correct.

Answer:

Options A, C and F are correct.

Answer:

B. 49

Step-by-step explanation:

f(7) = 7² = 49

_______

Answer :

The answer is A.

Answer:

A) 140

Step-by-step explanation:

since angle RA is 40

and angle one seems the same so

<1+<2=140

40+<2=180

-40 -40

<2=140

Answer:

At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-

Step-by-step explanation:

Giving the following information:

Present Value (PV)= $8,500

Future value (FV)= $17,323

Interest rate (i)= 4.5%

To calculate the time required for the investment to reach the objective, we need to use the following formula:

n= ln(FV/PV) / ln(1+i)  

n= ln(17,323/8,500) / ln(1.045)

n= 16.17 years

At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-

Answer:

whats the problem

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The mean of a standard normal distribution is always = 0 with the standard deviation being equal to. Therefore a standard normal distribution is a normal distribution described with a mean of 0 and standard deviation of 1. Since a standard normal distribution is centered at the middle with equal distribution to both the left and right of the distribution. The centre point is 0, which is the mean and the standard deviation is 1 to either side of the distribution.

Answer:

x=27

Step-by-step explanation:

1. x-2=25 so add 2 to both sides x=25+2

2. 25+2= 27 so, the answer is x=27 Can you make me Brainliest