Step-by-step explanation:
let the larger number be x and smaller number be y
according to this question
x=y+33----------(1)
y+33+5y=129----------(2)
6y+33=129
y=16
x=16+33(takimg equation (1)
x=49
Answer:
x = 3.86
a = 5.86
Step-by-step explanation:
From the triangles attached,
By applying cosine rule in triangle 1,
cos(50)° = 
cos(50)° = 
x = 6cos(50)°
x = 3.86
Now we apply sine rule in the second triangle,
sin(23)° = 
sin(23)° = 
a = 15sin(23)°
a = 5.86
Answer:
3
Step-by-step explanation:
the slope of a perpendicular line is the negative reciprocal of the original slope
a reciprocal is the inverse of a number, to find the reciprocal, just flip the numerator and denominator
in this cause, the slope is -1/3
the negative of it is 1/3 and the reciprocal is 3
therefore the slope of the perpendicular line is 3
The chi-squared test statistic will be 3.11. The test statistic is contrasted with a predicted value based on the Chi-square distribution.
<h3>What is the chi-squared test statistic?</h3>
Finding the squared difference between the actual and anticipated data values, then dividing that difference by the expected data values, constitutes the test statistic.
The formula for the chi-squared test statistic is;

Where,
is the observed value
is the expected value
The chi-square test statics is;

Hence, the chi-squared test statistic will be 3.11.
To learn more about the chi-squared test statistic refer;
brainly.com/question/14082240
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Answer:
24 cm³
Step-by-step explanation:
Volume of a cylinder is three times of a cone with same measurements
volume of cone is 8cm³
then,volume of cylinder is 8 × 3 = 24