Answer:
Test statistic = - 2.29
Pvalue = 0.0110
Step-by-step explanation:
The hypothesis :
H0 : p = 0.3
H1 : p < 0.3
Test statistic :
z=pˆ−p/√p(1−p)/n
pˆ = 0.2
Z = (0.20 - 0.30) / √(0.30(1 - 0.30) / 110
Z = - 0.1 / √0.0019090
Z = - 0.1 / 0.0436931
Z = - 2.29
Test statistic = -2.29
The Pvalue :
P(Z < -2.29) = 0.0110
Answer:
The value of sin X = 12 / 13
Step-by-step explanation:
Given
- The side opposite to angle ∠X = 12
To determine
sin X = ?
We know that the trigonometric ratio involving sin Ф such as
sin Ф = opposite / hypotenuse
Here:
- The side opposite of Angle X = 12
so substituting Ф = X, opposite = 12 and hypotenuse = 13 in the equation
sin Ф = opposite / hypotenuse
sin X = 12 / 13
Therefore, the value of sin X = 12 / 13
The value of x in the diagram is 6.1 cm.
<h3>What is right-angle triangle?</h3>
A right-angle triangle is a triangle that has 90° as one of the angles in the triangle.
To calculate the value of x in the right-angled triangle above, we use the formula below
Formula:
- tanθ = y/x............ Equation 1
Make x the subject of equation 2
- x = y/tanθ............. Equation 2
From the question,
Given:
Substitute these values into equation 2
- x = 7/tan49°
- x = 7/1.15
- x = 6.1 cm
Hence, the value of x in the diagram is 6.1 cm.
Learn more about right-angled triangle here: brainly.com/question/64787
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There are 100 cm in a meter so 100/50=2
2x9 = 18
the ladybug is 18 mm
Answer:
Mean: 9.875
Median: 8
Mode: 7
Minimum: 4
Maximum: 20
Range: 16
Size: 8
Sum: 79
Step-by-step explanation:
How to find the mean?
1. Count the number N of data points in your data set.
2. Sum up all of the data points in your data set (add them all together).
3. Average = Mean = Sum/N.
How to find the median
?
The median is the numeric value separating the upper half of a sample data set from the lower half. The median of a data set can be found by arranging all the values from lowest to highest value and picking the one in the middle. If there is an odd number of data values then the median will be the value in the middle. If there is an even number of data values the median is the mean of the two data values in the middle.
For the data set 1, 1, 2, 5, 6, 6, 9 the median is 5.
For the data set 1, 1, 2, 6, 6, 9 the median is 4. It is the mean of 2 and 6 or, (2+6)/2 = 4.
How to find the mode
Mode is the value or values in the data set that occur most frequently.
For the data set 1, 1, 2, 5, 6, 6, 9 the mode is 1 and also 6.
Hope this helps you! :D
