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ra1l [238]
3 years ago
11

A triangle has a height of 18 centimeters and a base of 3.5 centimeters. What is the area of the triangle? 63 cm2 31.5 cm2 15.75

cm2 21.5 cm2
Mathematics
1 answer:
koban [17]3 years ago
3 0
<span>31.5 cm^2 is the answer</span>
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Choose the midpoint of the line segment with endpoints at (5, 9) and (11, 15).
Tcecarenko [31]

Answer:

C) (8,12)

Step-by-step explanation:

MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{5+11}{2} )(\frac{9+15}{2} )\\MP= (\frac{16}{2} )(\frac{24}{2} )\\MP= (8,12)

8 0
3 years ago
An educator claims that the average salary of substitute teachers in school districts is less than $60 per day. A random sample
valentina_108 [34]

Answer:

t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626    

The degrees of freedom are given by:

df=n-1=8-1=7  

The p value would be given by:

p_v =P(t_{(7)}  

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

Step-by-step explanation:

Information given

60, 56, 60, 55, 70, 55, 60, and 55.

We can calculate the mean and deviation with these formulas:

\bar X= \frac{\sum_{i=1}^n X_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

Replacing we got:

\bar X=58.875 represent the mean

s=5.083 represent the sample standard deviation for the sample  

n=8 sample size  

\mu_o =60 represent the value that we want to test

\alpha=0.1 represent the significance level

t would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean is less than 60, the system of hypothesis would be:  

Null hypothesis:\mu \geq 60  

Alternative hypothesis:\mu < 60  

The statistic would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info we got:

t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626    

The degrees of freedom are given by:

df=n-1=8-1=7  

The p value would be given by:

p_v =P(t_{(7)}  

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

3 0
3 years ago
8(1/2n+3/4)=70 solve for n
nasty-shy [4]

Answer:

n = 16

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The length of a text messaging conversation is normally distributed with a mean of 2 minutes and a standard deviation of 0.5 min
Hitman42 [59]
Given:
μ = 2 min, population mean
σ = 0.5 min, population standard deviation

We want to find P(x>3).

Calculate the z-score
 z= (x-μ)/σ = (3-2)/0.5 = 2

From standard tables, obtain
P(x ≤ 3) = P(z ≤ 2) = 0.9772
Therefore
P(x > 3) = P(z > 2) = 1 - 0.9772 = 0.0228

Answer: 0.02275
8 0
3 years ago
Factor 16x2 + 40x + 25
scoray [572]
The answer is c to your question
3 0
3 years ago
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