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Step2247 [10]
4 years ago
8

paul says that the area of a triangle with base 16 meters and height 5 meters is 80 square meters paula says that the area is 40

square meters who is correct
Mathematics
1 answer:
rosijanka [135]4 years ago
3 0

Paul forgot to divide by 2. The area of a triangle is A = 1/2 * b * h

Paul just multiplied the Base and height together. 5*16 = 80.

Paula used the formula correctly. The answer is 40 square meters.

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The size of the tank a fish collector needs depends on how many fish he has. Which in the independent variable
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Answer:

Step-by-step explanation:

"<u><em>The size of the tank</em></u> a fish collector needs <u><em>depends</em></u> on <em>how many fish he has</em>."

Dependent variable is the size of the tank.

<em>Independent variable</em> is how many fish a fish collector has.

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3 years ago
K ( n ) = | n + 1 | − 1 ; Find k ( 4 )
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Answer:

4

Step-by-step explanation:

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Name the triangle congruence postulate that proves the triangles below are congruent.
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A researcher analyzed the results of her data from 30 subjects and calculated the variance of scores at 113.00. What is the stan
Alla [95]

Answer:

10.63

Step-by-step explanation:

Data provided  in the question

Data = 30 subjects

The Variance of scores = 113.00

The calculation of standard deviation is shown below:-

As we know that

Variance = Standard deviation^2

Therefore,

Standard deviation = \sqrt{variance}

=  \sqrt{113}

= 10.63

Therefore for computing the standard deviation we simply applied the above formula.

8 0
3 years ago
Tensile-strength tests were carried out on two different grades of wire rod. Grade 1 has 10 observations yielding a sample mean
earnstyle [38]

Answer:

t=\frac{(1085 -1034)-(0)}{57.646\sqrt{\frac{1}{10}+\frac{1}{15}}}=2.167

p_v =2*P(t_{23}

We see that the p value is lower than the significance level provided of 0.05 so then we have enough evidence to conclude that the true means are different at 5% of significance.

Step-by-step explanation:

Data given

n_1 =10 represent the sample size for group 1

n_2 =15 represent the sample size for group 2

\bar X_1 =1085 represent the sample mean for the group 1

\bar X_2 =1034 represent the sample mean for the group 2

s_1=52 represent the sample standard deviation for group 1

s_2=61 represent the sample standard deviation for group 2

We are assuming that the two samples are normally distributed with equal variances and that means:

\sigma^2_1 =\sigma^2_2 =\sigma^2

System of hypothesis

Null hypothesis: \mu_1 = \mu_2

Alternative hypothesis: \mu_1 \neq \mu_2

The statistic is given by:

t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}

The degrees of freedom are given by:

n_1+n_2 -2

And the pooled variance is:

S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}

Replacing we got:

S^2_p =\frac{(10-1)(52)^2 +(15 -1)(61)^2}{10 +15 -2}=3323.043

And the deviation would be:

S_p=57.646

The degrees of freedom are:

df=10+15-2=23

The statistic would be:

t=\frac{(1085 -1034)-(0)}{57.646\sqrt{\frac{1}{10}+\frac{1}{15}}}=2.167

The p value would be

p_v =2*P(t_{23}

We see that the p value is lower than the significance level provided of 0.05 so then we have enough evidence to conclude that the true means are different at 5% of significance.

6 0
3 years ago
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