Answer:
The value is 0.025
Step-by-step explanation:
We get the z-score that is equal to the given value
Mathematically we have this as:
z-score = (x-mean)/SD
x = 93
mean =79
SD = 7
So we have the z-score as;
z-score = (93-79)/7 = 14/7 = 2
So we want to calculate the probability equal to the calculated z-score value of 2
Using the standard normal distribution table, we have this value as;
1 - 0.975= 0.025
Answer:
Sunil = 10 and Sushil= 40
Step-by-step explanation:
Present ages-
Sushil= 4x
Sunil= x
5 years ago-
Sushil = 4x - 5
Sunil = x - 5
4x - 5 = 7(x - 5) = 4x - 5 = 7x - 35
= -5 = 3x - 35
= 30 = 3x
= 10 = x
So substitute the xs for 10-
Present Sushil= 4 x 10 = 40
Present Sunil= 10
Answer:
$13
Step-by-step explanation:
Given that :
Increase in salary factor = 11/10
New salary = $14.30
Initial salary = x
To obtain the value of the initial salary,
The product of the scale factor by the initial salary sgiuf give the amoi tof the new salary
11 / 10 * x = 14.30
1.1x = 14.30
x = 14.30 / 1.1
x = $13
Hence.initial salary per hour = $13
Answer:
Step-by-step explanation:
As the two figure are the image and pre-image of a dilation.
Considering the left sided triangle is original and right sided triangle ( smaller one) is the image.
As one of the sides of the left triangle (original figure) is 4 in. And the corresponding length of the side on the right triangle (image of the figure) is 2 in.
It means the image of the side (2 in) is obtained when the side (4 in) of the original object is dilated by a scale factor of 1/2. In other words, the side of the image (2 in) is obtained multiplying the side (4 in) of original figure by 1/2. i.e. 4/2 = 2 in
Lets determine the missing side of the right side triangle by the same rule.
As the original object has one of the sides is 5 in and the corresponding side of the image has x in. As the original figure is dilated by a scale factor of 1/2. so the missing side of x will be: x = 5/2 = 2.5
So, the value of x will be 2.5
Similarly, the original object has one of the sides with length (y + 1 in). As the As the original figure is dilated by a scale factor of 1/2. As the corresponding length of the side of the image triangle is 3 in.
so
y + 1 = 2(3) ∵ 3 in (image side) is multiplied by 2
y + 1 = 6
y = 6 - 1
y = 5
So, the value of y = 5
Therefore,
