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amm1812
3 years ago
8

A line passes through (-1, 7) and (2, 10).

Mathematics
1 answer:
marysya [2.9K]3 years ago
4 0

Answer:

Y=x+8

Step-by-step explanation:

To find the gradient of the line u have to subtract the y intercepts and the x intercepts

10-7/2--1=3/3=1

Y-7/x--1=1

Y-7=x+1

Y=x+1+7

Y=x+8

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- Systems of Linear Equations & Inequalities
miv72 [106K]

Answer:

3.50

Step-by-step explanation:

3 0
2 years ago
Carnival T charges an entrance fee of $7.00 and $0.50 per ticket for the rides. Carnival Q charges an entree fee of $12.00 and $
FrozenT [24]

Answer:

$30

Step-by-step explanation:

Calculation for the tickets that must be purchased for Carnival T and Carnival Q to be the same

Based on the information given let x be the number of ticket to be purchased .

Carnival T entrance fee= $7.00

Ride= $0.50 per ticket

Carnival Q entree fee =12.00

Ride= $0.25 per ticket

Tickets=$7.00 + ($0.50* x) = $12.00 + ($0.25* x)

.25 x = 5.00

Hence:

x=$.25+$5.00

×=$30

Therefore the amount of tickets that must be purchased in order for the total cost at Carnival T and Carnival Q to be the same will be $30

3 0
3 years ago
Rewrite the linear equation in slope-intercept form.
Serhud [2]
Slope intercept: y=-3/4x+2
3 0
2 years ago
Americans receive an average of 20 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with
soldier1979 [14.2K]

The distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

<h3>Probability</h3>

a. Distribution

X ~ N (20 , 6)

b. P(x ≤24)

= P[(x - μ ) / σ  (24 - 20) / 6]

= P(z  ≤0.67)

=  0.74857

=0.7486

Hence:

Probability = 0.7486

c. P(21 < x < 26)

= P[(21 - 26)/ 6) < (x - μ  ) / σ   < (24 - 20) / 6) ]

= P(-0.83 < z < 0.67)

= P(z < 0.67) - P(z < -0.)

=  0.74857- 0.2033

= 0.54527

Hence:

Probability =0.54527

d. Using standard normal table ,

P(Z < z) = 66%

P(Z < 0.50) = 0.66

z = 0.50

Using z-score formula,

x = z×  σ +  μ

x = 0.50 × 6 + 20 = 23

23 Christmas cards

Therefore the distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

Learn more about probability here:brainly.com/question/24756209

#SPJ1

8 0
2 years ago
Solid:
Liono4ka [1.6K]

Answer:

area = 99.33units²

Step-by-step explanation:

b + 1/2p + l

<em>good luck, i hope this helps :)</em>

5 0
3 years ago
Read 2 more answers
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