Find the slope of the line passing through the points (-8,-8) and (2,-8)

goblinko [34]

Answer:

Fraction models can help clarify ideas that are often confused in a purely symbolic mode and construct mental terms that help them to perform fraction tasks meaningfully.

Step-by-step explanation:

3 0

3 years ago

The sum of the measures of the angles is 180. The sum of the measures of the second and third angles is two times the measure of

grigory [225]

Step-by-step explanation:

Let the first angle be $a$ degrees

Let the second angle be $b$ degrees

Let the third angle be $c$ degrees

It is given that sum of angles is $180$ degrees.

so, $a+b+c=180$ ...(i)

It is given that sum of the measures of the second and third angles is two times the measure of the first angle.

$b+c=2\times a$ ...(ii)

It is given that the third angle is 26 more than the second.

$c=26+b$ ...(iii)

using (ii) and (iii),

$b+b+26=2a$

$b+13=a$

using (i),(ii) and (iii),

$a+b+c=a+a-13+26+b=a+a-13+26+a-13=3a$

$3a=180$

$a=60$

$b=a-13=60-13=47$

$c=26+b=26+47=73$

3 0

3 years ago

An adult has a total of about 22.5 square feet (ft2) of skin. Use the fact that 1 m is approximately equal to 3.281 feet to conv

zheka24 [161]

Answer:

There are about 3.281 * 3.281 = 10.764 square feet in one square meter. Therefore, 22.5 square feet is 22.5 / 10.764 = 2.09 square meters.

3 0

3 years ago

List the fractions and decimals in order from least to greatest -3/8, 5/16, -0.65, 2/4

kogti [31]

In order of least to greatest: -5/16 , -3/8 , -0.65 , 2/4

4 0

3 years ago

Ice cream usually comes in 1.5-quart boxes (48 fluid ounces), and ice cream scoops hold about 2 ounces. However, there is some v

Troyanec [42]

Answer:

(a) The expected value and standard deviation of the amount of ice cream served at the party are 54 ounces and 1.25 ounces respectively.

(b) The expected value and standard deviation of the amount of ice cream left in the box after scooping out one scoop are 46 ounces and 1.031 ounces respectively.

(c) Because the variance of each variable is dependent on the other.

Step-by-step explanation:

The random variable X and Y are defined as follows:

X = amount of ice cream in the box

Y = amount of ice cream scooped out

The information provided is:

E (X) = 48

SD (X) = 1

V (X) = 1

E (Y) = 2

SD (Y) = 0.25

V (Y) = 0.0625

(a)

The total amount of ice-cream served at the party can be expressed as:

X + 3Y.

Compute the expected value of (X + 3Y) as follows:

$E(X+3Y)=E(X)+3E(Y)\\= 48+(3\times2)\\=48+6\\=54$

Compute the variance of (X + 3Y) as follows:

$V(X+3Y) = V (X)+3^{2}V(Y)+2\times 3Cov (X,Y)\\=1+(9\times0.0625)+0\\=1.5625$

Then the standard deviation of (X + 3Y) is:

$SD(X + 3Y) =\sqrt{V(X + 3Y)}\\\sqrt{1.5625}\\=1.25$

Thus, the expected value and standard deviation of the amount of ice cream served at the party are 54 ounces and 1.25 ounces respectively.

(b)

The amount of ice-cream left in the box after scooping out one scoop is represented as follows:

X - Y.

Compute the expected value of (X - Y) as follows:

$E(X-Y)=E(X)-E(Y)\\=48-2\\=46$

Compute the variance of (X - Y) as follows:

$V(X - Y) =V(X)+V(Y)-2Cov(X,Y)\\=1+0.0625-0\\=1.0625$

Then the standard deviation of (X - Y) is:

$SD(X-Y) =\sqrt{V(X -Y)}\\\sqrt{1.0625}\\=1.031$

Thus, the expected value and standard deviation of the amount of ice cream left in the box after scooping out one scoop are 46 ounces and 1.031 ounces respectively.

(c)

The variance of the sum or difference of two variables is computed by adding the individual variances. This is because the variance of each variable is dependent on the others.

7 0

3 years ago