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this year the winner of the New York Marathon ran the 8 km event in 24 minutes what is the runners unit rate

yan [13]

1 km every 3 minutes

7 0

3 years ago

Ast year, 3,120 students competed in a statewide athletic competition. If each participating school district sent 26 students to

andreyandreev [35.5K]

Answer: 120 schools

Step-by-step explanation:

3,120 students competed in a statewide athletic competition and each participating school district sent 26 students to the athletic competition.

Total number of students= 3120

Total students sent by each school= 26

Number of participating school districts= Total number of students ÷ he students sent by each school

= 3120 / 26

= 120 students

There are 120 participating schools in the competition

3 0

3 years ago

Read 2 more answers

Find the volume of the composite solid.

OLEGan [10]

Here's the solution,

the volume of the given figure is :

=》

$volume \: \: of \: \: (pyramid \: + rectangular \: \: prism)$

volume of pyramid :

=》

$\dfrac{l \times b \times h}{3}$

=》

$\dfrac{4 \times 5 \times 6}{3}$

=》

$\dfrac{120}{3}$

=》

$40$

volume of pyramid = 40 cm³

now, volume of rectangular prism :

=》

$l \times b \times h$

=》

$4 \times 5 \times 2$

=》

$40$

volume of rectangular prism = 40 cm³

volume of composite figure = 40 + 40

=》80 cm³

4 0

3 years ago

What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?

satela [25.4K]

Step-by-step explanation:

$x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} \\ x = \frac{ - 5 + - \sqrt{ {5}^{2} - 4(5) } }{2} \\ x = \frac{ - 5 + - \sqrt{25 - 20} }{2} \\ x = \frac{ - 5 + - \sqrt{5} }{2}$

Therefore, the zeroes would be:

$x1 = \frac{ - 5 + \sqrt{5} }{2} \\ x2 = \frac{ - 5 - \sqrt{5} }{2}$

8 0

3 years ago

Given a population with a mean of muμequals=100100 and a variance of sigma squaredσ2equals=3636, the central limit theorem appl

lakkis [162]

Answer:

a) $\bar X \sim N(100,\frac{6}{\sqrt{25}}=1.2)$

$\mu_{\bar X}=100$ $\sigma^2_{\bar X}=1$

b) $P(\bar X >101)=1-P(\bar X$

c) $P(\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$