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lisov135 [29]
2 years ago
12

Given that a= 6 cm and b = 5 cm, work out the area of the triangle.

Mathematics
1 answer:
motikmotik2 years ago
6 0

Answer:

15cm²

Step-by-step explanation:

Area of a triangle: 1/2*b*h

a = height (6cm)

b = base (5cm)

A = 1/2* b * h

A = 1/2 * 5 * 6

A = 1/2 * 30

A = 15cm² <== final answer

Hope this helps!

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The nicotine content in a single cigarette of a particular brand has a distribution with mean 0.4 mg and standard deviation 0.1
a_sh-v [17]

Answer:

Step-by-step explanation:

For this case we can define the random variable of interest as: "The nicotine content in a single cigarette " and for this case we know the following parameters:

\mu = 0.4, \sigma = 0.1

And for this case we select a sample size of n =100 and we want to find the following probability:

P(\bar X

And for this case we can use the z score formula given by:

z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z= \frac{0.38-0.4}{\frac{0.1}{\sqrt{100}}}= -2

And we can find the required probability with the normal standard table and we got:

P(z

8 0
3 years ago
Explain ways on how to divide 52 from 8
raketka [301]
52÷8=6.5

This is because 8 can go into 52, six times then your decimal pops up.

8 0
3 years ago
The answer to this question asap please
Mkey [24]

At 13% significance level, there isn't enough evidence to prove the administrators to claim that the mean score for the​ state's eighth graders on this exam is more than 280.

<h3>How to state hypothesis conclusion?</h3>

We are given;

Sample size; n = 78

population standard deviation σ = 37

Sample Mean; x' = 280

Population mean; μ = 287

The school administrator declares that mean score is more (bigger than) 280. Thus, the hypotheses is stated as;

Null hypothesis; H₀: μ > 280

Alternative hypothesis; Hₐ: μ < 280

This is a one tail test with significance level of α  = 0.13

From online tables, the critical value at α  = 0.13 is z(c) = -1.13

b) Formula for the test statistic is;

z = (x-  μ)/(σ/√n)

z = ((280 - 287) *√78 )/37

z = -1.67

c) From online p-value from z-score calculator, we have;

P[ z > 280 ] =  0.048

d) The value for z = -1.67  is smaller than the critical value mentioned in problem statement z(c) = - 1.13  , the z(s) is in the rejection zone. Therefore we reject H₀

e) We conclude that at 13% significance level, there isn't enough evidence to prove the administrators to claim that the mean score for the​ state's eighth graders on this exam is more than 280.

Read more about Hypothesis Conclusion at; brainly.com/question/15980493

#SPJ1

5 0
1 year ago
Graph each function. Identify the domain and range​
iren [92.7K]

Answer:

1. Domain - All real numbers

Range - y<4

first graph

2. Domain - All real numbers

range - y<8

second graph

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A jar of natural peanut butter normally cost four dollars today it's on sale for $3.60 what is the percentage of the discount
kakasveta [241]
$4 is the original price of the jar consisting of peanut butter so therefor it = 100%. It's for sale at $3.60, so we divide $4 by 100% so we get the percentage for each cent and then we times it by 3.60 to get the percentage for $3.60 which is 90%. Now we subtract 90% from 100% to get the discounted percentage for 40cents :)

5 0
3 years ago
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