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dmitriy555 [2]
1 year ago
7

During the summer, Bethany mows lawns and Grant is a waiter at a coffee shop. To show their earnings, Bethany makes a graph and

Grant makes a table. Which statement is true?

Mathematics
2 answers:
arsen [322]1 year ago
6 0

grant earns 1.15 more than bethany

Alexeev081 [22]1 year ago
6 0

Explanation:

Equation of Bethany Mowing job is given by

As, the curve is a straight line passing through (0,0) and having slope 11.75 is

y=11.75 x

As, equation of slope intercept form of line is , y= m x +c, here C=0.

in one hour money earned by Bethany=11.75 ×1= $ 11.75

Equation of grant waiter job is

As, the curve is not linear,

So, in one hour that is (7-6) hour money earned by Grant = 90.30-77.40=$12.90

So, grant earns more per hour  money than Bethany by the amount , 12.90 - 11.75=$1.15

Option A is true statement : Grant earns $1.15 more per hour money than Bethany.

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A college student is interested in testing whether business majors or liberal arts majors are better at trivia. The student give
attashe74 [19]

Answer:

There is no significant difference between the two averages at 5% level

Step-by-step explanation:

Given that a a college student is interested in testing whether business majors or liberal arts majors are better at trivia.

The student gives a trivia quiz to a random sample of 30 business school majors and finds the sample’s average test score is 86. He gives the same quiz to 30 randomly selected liberal arts majors and finds the sample’s average quiz score is 89

Thus he has done a hypothesis testing for comparison of two means of different subjects.  n =30

H_0: Mean of business majors = Mean of liberal arts majos\\H_a:Mean of business majors \neq  Mean of liberal arts majos

Since which is better is not claimed we use two tailed test here

We find that p value = 0.0524 >5% our alpha

Since p >alpha, we find that there is no significant difference between the averages of these two groups and null hypothesis is accepted

4 0
2 years ago
In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is t
podryga [215]

Answer:

|0.254 ≤ p ≤ 0.286|

Step-by-step explanation:

Given that:

In a made up poll :

Proportion of people who like dark chocolate than milk chocolate (p) = 27%

Margin of Error = 1.6%

Hence,

p ± margin of error

27% ± 1.6%

(27 - 1.6)% ; (27 + 1.6)%

25.4% ; 28.6%

0.254 ; 0.286

Therefore ;

Lower bound = 0.254

Upper bound = 0.286

Expressing p as an absolute value Inequality ;

|0.254 ≤ p ≤ 0.286|

7 0
1 year ago
PLEASE HELP ASAP: A particle is moving with velocity v(t) = t2 – 9t + 18 with distance, s measured in meters, left or right of z
dimaraw [331]
1) \frac{v(8)-v(0)}{8 - 0} = \frac{10-18}{8} = -1\frac{m}{s}.
2) v(5) = 5^2-9*5+18 = 25-45+18 = -2\frac{m}{s}.
3) The particle is moving right when the velocity function is positive: 0\ \textless \ t\ \textless \ 3 or 6\ \textless \ t\ \textless \ 8.
4) When 0\ \textless \ t\ \textless \ \frac{9}{2} the particle is slowing down because the acceleration is close to zero \Rightarrow the particle is speeding up when acceleration is increasing away from zero: \frac{9}{2}\ \textless \ t\ \textless \ 8.
5) (\frac{1}{8})* \int\limits^8_0 {t^2-9t+18dt}=\frac{1}{8}*(\frac{t^3}{3}-(\frac{9}{2}*t^2+18t)_{0}^{8}= \\=(\frac{1}{8})*(\frac{8^3}{3}-(\frac{9}{2})*8^2+18*8)=\frac{8^2}{3}-(\frac{9}{2})*8+18=3\frac{1}{3} \frac{m}{s}.
3 0
2 years ago
A 3.00-g copper penny at 25.0°C drops from a height of50.0 m to the ground. (
Gnoma [55]
The potential energy, E, of the penny is given by E=mgh.  The energy, Q, required to raise the temperature of an object by an amount ΔT is given by Q=mcΔT.  We can equate these two to get the result but we must use proper units and include the 60%:
(0.6)mgh=mcΔT
We see we can divide out the mass from each side
0.6gh=cΔT,   then 0.6gh/c=ΔT
(0.6)9.81(m/s²)50m/385(J/kg°C) = 0.7644°C
since this is the change in temperature and it started at 25°C we get
T=25.7644°C
As you can see the result does not depend on mass.  The more massive the copper object the more potential energy it will have to contribute to the heat energy, but the more stuff there will be to heat up, and the effect is that the mass cancels.
6 0
2 years ago
Lisa is 10 centimeters taller than her friend Ian. Ian is 14 centimeters taller than Jim. Every month, their heights increase by
bekas [8.4K]
Let Lisa's height be x, Ian's be y and Jim's be z
x = 10 + y . . . (1)
y = 14 + z . . . (2)
y + 14 + z + 14 = 170 + x + 14
y + z - x = 170 + 14 - 28 = 156 . . . (3)
From (2), z = y - 14 . . . (4)
Putting (1) and (4) into (3) gives,
y + y - 14 - 10 - y = 156
y = 156 + 24 = 180

Therefore, Ian's height is 180 centimeters
5 0
2 years ago
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