-x^2+2x-8=0 factoring

Marco draws a card and replaces it 10 times from a standard deck of 52 cards. He draws 8 red cards and 2 black cards. What is th

Andreas93 [3]

4/5 chance is the answer to that

3 0

3 years ago

Read 2 more answers

It took Leo 3 hours to type a 4125-word essay. Sarah typed her 3800-word essay in 3 hours and 10 minutes. At these rates, how mu

scoray [572]

Answer:

Sarah would take 35 minutes longer than Leo to type 5500 word essay

Step-by-step explanation:

Let us solve the question

∵ It took Leo 3 hours to type a 4125-word essay

→ The rate is the number of words divided by the time

∴ Leo's rate = 4125 ÷ 3 = 1375 words/hour

∵ Sarah typed her 3800-word essay in 3 hours and 10 minutes

→ Change the 10 min to the hour by divide it by 60

∵ 3 hours 10 min = 3 + $\frac{10}{60}$ = 3 + $\frac{1}{6}$ = 3 $\frac{1}{6}$ hours

∴ Sarah's rate = 3800 ÷ 3 $\frac{1}{6}$ = 1200 words/hour

∵ Leo will type a 5500-word essay

→ Divide it by his rate to find the time taken

∴ Leo takes = 5500 ÷ 1375 = 4 hours

∵ Sarah will type a 5500-word essay

→ Divide it by her rate to find the time taken

∴ Sarah takes = 5500 ÷ 1200 = 4 $\frac{7}{12}$ hours

→ Find the difference between their times

∵ The difference = 4 $\frac{7}{12}$ - 4 = $\frac{7}{12}$ hour

→ Multiply it by 60 to change to minutes

∴ The difference = $\frac{7}{12}$ × 60 = 35 minutes

∴ Sarah would take 35 minutes longer than Leo to type 5500 word essay

3 0

2 years ago

Suzie solved a linear equation for y. This equivalent equation was her result. y = 7x + 23 Which equations could have been the l

Alika [10]

Answer:

2, 3, 5

Step-by-step explanation:

The question asking for the linear equation Suzie manipulated. The answer should be equal to the starting equation. So, we just need to manipulate the option to y= mx + c format.

1. y + 7x = 23

y= -7x +23 (false)

2. . –7x + y = 23

y= 7x + 23 (true)

3. 2y – 14x = 46

2y= 14x+ 46

y= 7x +23 (true)

4. y – 7x = –23

y= 7x - 23 (false)

5. 7x – y = –23

-y= -7x -23

y= 7x + 23 (true)

6 0

3 years ago

Simple math help? Solve for x √x+12 = √x+2

lozanna [386]

This is an impossible equation. If sqrt(x) = sqrt(x), and sqrt(x) + 2 = sqrt(x) + 12, then that would mean that 2=12, which is incorrect.

3 0

2 years ago

The assembly line that produces an electronic component of a missile system has historically resulted in a 2% defectiverate. a r

sattari [20]

Defective rate can be expected to keep an eye on a Poisson distribution. Mean is equal to 800(0.02) = 16, Variance is 16, and so standard deviation is 4.
X = 800(0.04) = 32, Using normal approximation of the Poisson distribution Z1 = (32-16)/4 = 4.
P(greater than 4%) = P(Z>4) = 1 – 0.999968 = 0.000032, which implies that having such a defective rate is extremely unlikely.

If the defective rate in the random sample is 4 percent then it is very likely that the assembly line produces more than 2% defective rate now.

3 0

3 years ago