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nata0808 [166]
3 years ago
6

Find the area of the triangle. A) 78 m2 B) 175 m2 C) 196 m2 D) 350 m2

Mathematics
2 answers:
Umnica [9.8K]3 years ago
7 0

Answer:

The answer is 175 m2

Step-by-step explanation:

vovikov84 [41]3 years ago
6 0

Answer:

172m

Step-by-step explanation:

Area equals base×height ÷2

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A sequence starts 0,5 give a rule that sequence could follow and the next 3 terms for that rule
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Step-by-step explanation:

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Divide 25 1858.<br> To find the quotient, start by dividing
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74.32

Step-by-step explanation:

1,858 divided by 25= 74.32

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Let A = { x ∈ R : x 2 − 5 x + 4 ≤ 0 } , B = (3 , 5), and C = (3 , 4]. Show that A ∩ B = C . (Recall, you must show two separate
kolbaska11 [484]

Answer:

You can proceed as follows:

Step-by-step explanation:

First solve the quadratic inequality x^{2}-5x+4\leq 0. To do that, factorize, then we have that (x-4)(x-1)\leq 0. This implies that

x-1\leq 0\, \text{and}\, x-4\geq 0

or

x-1 \geq 0\, \text{and}\, x-4\leq 0

In the first case the solution is the empty set \emptyset. In the second case the solution is the interval 1\leq x \leq 4. Now we have that

A=[1,4]

B=(3,5)

C=(3,4].

To show that A\cap B\subseteq C consider x\in A\cap B. Then 1\leq x \leq 4\, \text{and}\, 1, this implies that 3, then x\in C. Now, to show that C\subseteq A\cap B consider x\in C, then 3, then 1\leq x \leq 4\, \text{and}\, 3, then x\in [1,4] \, \text{and}\, x\in (3,5), this implies that x\in A\cap B.

Observe the image below.

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3 years ago
A swimming pool is open for 7.5 hours during the day. The pool keeps one lifeguard on duty at a time.l, with each of their shift
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The answer is 5 shifts a day
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3 years ago
Read 2 more answers
Random sample size of 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively. T
Ugo [173]

Answer:

the  mean and standard error of the mean are 200 and 2 respectively.

Step-by-step explanation:

Given that ;

the sample size n = 81

population mean μ = 200

standard deviation of the infinite population σ = 18

A population  is the whole set of values, or individuals you are interested in, from an experimental study.

The value of population characteristics such as the  Population mean (μ), standard deviation (σ) are said to be known as the population distribution.

From the given information above;

The sample size is large and hence based on the central limit theorem the mean of all the means is same as the population mean 200.

i.e

\mu = \bar \mu_x = 200

∴ The mean = 200

and the standard error of the mean can be determined via the relation:

\mathbf{standard \ error \ of \ mean = \dfrac{\sigma}{\sqrt {n}}}

\mathbf{standard \ error \ of \ mean = \dfrac{18}{\sqrt {81}}}

\mathbf{standard \ error \ of \ mean = \dfrac{18}{9}}

\mathbf{standard \ error \ of \ mean =2}

Therefore ; the  mean and standard error of the mean are 200 and 2 respectively.

6 0
3 years ago
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