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3 years ago

What is a linear equation of a line with slope -4 and y-intercept 7

Mathematics

1 answer:

ololo11 [35]3 years ago

5 0

The equation would look like

Y=-4x+7

Y=mx+b

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Randomly selected students participated in an experiment to test their ability to determine when one minute (or sixty seconds)

zalisa [80]

Answer: $(57.41,\ 62.19)$

Step-by-step explanation:

Given : Sample size : $n=40$

Sample mean : $\overline{x}=59.8\text{ seconds}$

Standard deviation : $\sigma =9.2\text{ seconds}$

Significance level : $\alpha=1-0.9=0.1$

Critical value : $z_{\alpha/2}=1.645$

Formula to find the confidence interval for population mean :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=59.8\pm(1.645)\dfrac{9.2}{\sqrt{40}}\\\\\approx59.8\pm2.39\\\\=(59.8-2.39,\ 59.8+2.39)\\\\=(57.41,\ 62.19)$

Hence, a 90% confidence interval estimate of the population mean of all students = $(57.41,\ 62.19)$

6 0

3 years ago

Rhonda has $4.85 in coins. If she has six more nickels than dimes and twice as many quarters as dimes, how many coins of each ty

Novay_Z [31]

Answer: nickels = 13, dimes = 7, quarters = 14

<u>Step-by-step explanation:</u>

First, set up the equations for each coin:

$\begin {array}{c|c|c|l}\underline{\quad Type\quad }&\underline{Value}&\underline{Quantity}&\underline{\qquad \qquad \qquad Equation\qquad }\\ Nickel& \$0.05&6+d&0.05(6+d) = 0.30 + 0.05d\\Dime& \$0.10&d&\qquad 0.10(d)=0.10d\\Quarter& \$0.25&2d&\qquad 0.25(2d)=0.50d\\\end{array}$

Next, the sum of the coins is $4.85 so substitute and solve for the variable:

Nickels + Dimes + Quarters = Sum

(0.30 + 0.05d) + 0.10d + 0.50d = 4.85

0.30 + 0.65d = 4.85

0.65d = 4.55

d = 7

Lastly, plug the d-value into the quantity equation for the nickels and quarters to find their quantity.

nickels: 6 + d = 6 + (7) = 13

quarters: 2d = 2(7) = 14

6 0

3 years ago

Carey earns $9.75 working part time on weekends. The table below shows the amount, a, Carey earns for working h hours.

shutvik [7]

$29.25 in 3 hours. explanation: if he makes $9.75 in 1 hour then 9.75 x 3 (hours) would equal $29.25

7 0

3 years ago

............................

lilavasa [31]

Answer:

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Step-by-step explanation:

8 0

3 years ago

The radius of a circle is 18 meters. What is the circle's area?

ankoles [38]

Answer:

200.96 sq. meters.

Step-by-step explanation:

The formula for the area of a circle is \pi r^(2). To solve for the area, use the given values, pi is 3.14 and the radius is 18. This gives you the new equation of (3.14)(18)^2. Solve algebraically, first raising the radius to the power of 2, and then multiplying.

5 0

2 years ago