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shusha [124]
3 years ago
12

the relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card. Is

the relationship a solid line or a set on unconnected points?

Mathematics
2 answers:
snow_lady [41]3 years ago
8 0
A solid line, because each lunch cost the same, and the price does not differ from lunch to lunch. So, 100 - 4 = 96  |  96 - 4 = 92, etc.
vivado [14]3 years ago
3 0

Answer:

The relationship will be a solid line.

Step-by-step explanation:

The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card.

The relationship will be a solid line as it is a linear and common slope. Each time you buy lunch, the amount in the card will decrease by $4.

Let the number of lunches you buy be = x

Let the amount remaining in the card be = y

So, equation forms:

y=100-4x

When you buy 1 lunch, or x = 1

y=100-4(1)=96

When x = 2

y=100-4(2)=92

When x = 3

y=100-4(3)=88

We can see that the decrease is gradual and same.

You can also see the graph attached that a straight line is formed.

You might be interested in
The length of a rectangle is 4 cm longer than the width, The perimeter is 80cm. Find the length and the width.
TEA [102]

Answer:

the length is 22 and the width is 18

Step-by-step explanation:

The perimeter is 2(l) + w(2)

w is the width and l is the length

if you plug in 22 and 18 you get

2(22)+(2)18

then you do multiplication to get

44+36

then you add and you get 80

8 0
3 years ago
Test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students at the 0.005 signif
algol [13]

Answer:

a) F. H 0 : μ O ≥ μ C

H 1 : μ O < μ C

b) B. two-tailed

d) t=\frac{(2.91-2.96)-0}{\sqrt{\frac{0.05^2}{60}+\frac{0.03^2}{60}}}}=-6.64  

e) p_v =P(t_{118}  

f) B. Reject the null hypothesis

Step-by-step explanation:

Information provided

\bar X_{O}=2.91 represent the mean for the Orange Coast

\bar X_{C}=2.96 represent the mean for the Coastline

s_{O}=0.05 represent the sample standard deviation for Orange Coast

s_{C}=0.03 represent the sample standard deviation for Coastline

n_{O}=60 sample size for Orange Coast

n_{C}=60 sample size for Coastline

\alpha=0.005 Significance level provided

t would represent the statistic

Part a

For this case we want to test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students

Null hypothesis:\mu_{O} \geq \mu_{C}  

Alternative hypothesis:\mu_{O} < \mu_{C}  

F. H 0 : μ O ≥ μ C

H 1 : μ O < μ C

Part b

For this case we need to conduct a left tailed test.

B. two-tailed

Part d

The statistic is given by:

t=\frac{(\bar X_{O}-\bar X_{C})-\Delta}{\sqrt{\frac{s^2_{O}}{n_{O}}+\frac{s^2_{C}}{n_{C}}}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=60+60-2=118  

Replacing the info we got:

t=\frac{(2.91-2.96)-0}{\sqrt{\frac{0.05^2}{60}+\frac{0.03^2}{60}}}}=-6.64  

Part e

We can calculate the p value with this probability:

p_v =P(t_{118}  

Part f

Since the p value is a very low value compared to the significance level given of 0.005 we can reject the null hypothesis.

B. Reject the null hypothesis

5 0
3 years ago
Which shapes can the composite figure be
olganol [36]

Answer:

rectangle, triangle, trapezoid, and octagon.

Step-by-step explanation:

4 0
3 years ago
Which sequence is represented by the equation a n =4(3)^ n-1
Sophie [7]

Answer:

4,12,36,106,324

Step-by-step explanation:

Identify the sequence, then use the formula to find the first term

6 0
3 years ago
The cost for n students to attend a workshop is 7n + 12 dollars. What is the cost for 6 students to attend? Step-by-step
maks197457 [2]
7n+12
if n is the number of students, then n=6 so plug 6 in for n
so 7(6)+12
7(6)=30+12=42
so the cost for 6 students would be $42
4 0
3 years ago
Read 2 more answers
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