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Mathematics

2 answers:

tiny-mole [99]3 years ago

4 0

The last option on your paper.

NNADVOKAT [17]3 years ago

3 0

D.) because it's proportional. Y=x/2

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A piece of string is 112 inches long. Isabel wants to cut it into 2 pieces so that one piece is three times as long as the other

lukranit [14]

Answer:28inches & 84inches

First, lets write an equation that fits the data given. The string is 112 inches long. When the two pieces are cut, the first piece will be three times as long as the second piece. If we use the variable, x, to represent the second piece, we can create the following equation...

112=3x+x

Now lets solve for x.

112=4x
divide both sides by 4
28 inches=x

Now we know that the second piece is 28inches long. Since the first piece is three times as long, simply multiply 28*3 and we'll know the length of the first piece.

28*3=84 inches
28+84=112

4 0

3 years ago

Find the midpoint of the line segment joining the points R(-4,3) and S(5,6)

N76 [4]

Answer:

MP=(0.5,4.5)

Step-by-step explanation:

USE THIS FORMULA:

M=(x1+x2/2,y1+y2/2)

5 0

2 years ago

A large software company gives job applicants a test of programming ability, and the mean for that test has been 160 in the past

Anastaziya [24]

Answer:

Since the computed value of t= 0.833 does not fall in the critical region we therefore do not reject H0 and may conclude that population mean is greater than 160. Or the sample comes from population with mean of 165.

Step-by-step explanation:

State the null and alternative hypothesis as

H0: μ= 160 against the claim Ha :μ ≠160

Sample mean = x`= 165

Sample standard deviation= Sd= 12

2. The test statistic to use is

t= x`-μ/sd/√n

which if H0 is true , has t distribution with n-1 = 36-1= 35 degrees of freedom

3. The critical region is t< t (0.025(35)= 2.0306

t= x`-μ/sd/√n

4. t = (165-160)/[12/√(36)] = 5/[6] = 0.833

5. Since the computed value of t= 0.833 does not fall in the critical region we therefore do not reject H0 and may conclude that population mean is greater than 160. Or the sample comes from population with mean of 165.

Now

6. The p-value is 0 .410326 for t= 0.8333 with 35 degrees of freedom.