Masha had 200 scoops of ice cream and Liz had 180 scoops. After they each ate an equal amount of scoops, the ratio of Masha’s sc
2 answers:
Answer:
Each of them eat 140 scoops.
Step-by-step explanation:
Let x be the amount eaten by each of them,
Given,
The initial ice cream Masha has = 200 scoops
Final ice cream Masha has = ( 200 - x ) scoops
while the initial ice cream Liz has = 180 scoops,
Final ice cream Liz has = (180-x) scoops,
According to the question,
( by cross multiplication )
( Subtracting 400 on both sides )
( adding 3x on both sides )
Hence, each of them eat 140 scoops.
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Answer:
D) Acceleration is positive and increasing.
Step-by-step explanation:
In formulae, acceleration is defined as the rate of change of velocity per unit time; for example:
where Δ V is the variation of velocity and Δ T is the variation in time.
The graph depicts the velocity of a moving item as a function of time. As we can see ΔV is the increment on the y-axis, while ΔT is the increment on the x axis: therefore, the ratio ΔV/ΔT is the curve's slope. In fact, the slope of the curve in a velocity-time graph corresponds to the object's acceleration. In this graph, we can see that the slope of the curve is growing, which means that the acceleration is positive (since the slope is positive and the velocity is increasing) and increasing (because the slope is increasing).
Answer:
We conclude that the board's length is equal to 2564.0 millimeters.
Step-by-step explanation:
We are given that a sample of 26 is made, and it is found that they have a mean of 2559.5 millimeters with a standard deviation of 15.0.
Let = <u><em>population mean length of the board</em></u>.
So, Null Hypothesis, :
= 2564.0 millimeters {means that the board's length is equal to 2564.0 millimeters}
Alternate Hypothesis, :
2564.0 millimeters {means that the boards are either too long or too short}
The test statistics that will be used here is <u>One-sample t-test statistics</u> because we don't know about the population standard deviation;
T.S. = ~
where, = sample mean length of boards = 2559.5 millimeters
s = sample standard deviation = 15.0 millimeters
n = sample of boards = 26
So, <em><u>the test statistics</u></em> = ~
= -1.529
The value of t-test statistics is -1.529.
Now, at a 0.05 level of significance, the t table gives a critical value of -2.06 and 2.06 at 25 degrees of freedom for the two-tailed test.
Since the value of our test statistics lies within the range of critical values of t, so <u><em>we have insufficient evidence to reject our null hypothesis</em></u> as it will not fall in the rejection region.
Therefore, we conclude that the board's length is equal to 2564.0 millimeters.