Factorise 6x² -5x -21

solve this system of linear equations separate the x and y values with a comma -14x=-7-7y -10x=-15-7y

X=7/4+7/4y ,y∈ (One symbol I can't find but that's what I got)

7 0

2 years ago

Carolyn is using the table to find 360% of 15. What values do X and Y represent in her table? Percent Total 100% 100% 100% 20% 2

asambeis [7]

Answer: c

Step-by-step explanation:

Based on the percent breakdown of 360%.

100% 100% 100% 20%20%20%

15. 15. 15. 3. 3. 3.

100% is all of it, so 15. This is x.

20% of it would be calculated as 0.2 x 15 or 3. This is y.

7 0

2 years ago

Read 2 more answers

A museum has a 1/1000 scale model of the Grand Canyon, complete with a miniature river in the bottom. Explain how you could use

defon

Provide the approximated measurement to associate the volume of water.

3 0

2 years ago

in one week, 128 cell phones were sold. The following week 37 more cell phones were sold than the week before. How many cell pho

Pani-rosa [81]

$\large\bf{\underline{Given :}}$

128 cellphones were sold in a week
37 more cellphones more were sold than the week before

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ $\large\bf{⟹128+37=165}$

__________________________________________

$\large\bf{\underline{Therefore:}}$

$\bf{Total\: number\:of\: cellphones\:sold\:in\:two\:weeks}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large{⟹128 + 165}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large{⟹293}$

__________________________________________

$\large\bf{\underline{Hence}}$

293 cellphones were sold in given 2 weeks

6 0

2 years ago

Suppose the time a child spends waiting at for the bus as a school bus stop is exponentially distributed with mean 7 minutes. De

Gala2k [10]

Answer:

The probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

Step-by-step explanation:

Let the random variable X represent the time a child spends waiting at for the bus as a school bus stop.

The random variable X is exponentially distributed with mean 7 minutes.

Then the parameter of the distribution is, $\lambda=\frac{1}{\mu}=\frac{1}{7}$ .

The probability density function of X is:

$f_{X}(x)=\lambda\cdot e^{-\lambda x};\ x>0,\ \lambda>0$

Compute the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning as follows:

$P(6\leq X\leq 9)=\int\limits^{9}_{6} {\lambda\cdot e^{-\lambda x}} \, dx$

$=\int\limits^{9}_{6} {\frac{1}{7}\cdot e^{-\frac{1}{7} \cdot x}} \, dx \\\\=\frac{1}{7}\cdot \int\limits^{9}_{6} {e^{-\frac{1}{7} \cdot x}} \, dx \\\\=[-e^{-\frac{1}{7} \cdot x}]^{9}_{6}\\\\=e^{-\frac{1}{7} \cdot 6}-e^{-\frac{1}{7} \cdot 9}\\\\=0.424373-0.276453\\\\=0.14792\\\\\approx 0.148$

Thus, the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

6 0

2 years ago