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maks197457 [2]
2 years ago
11

What is the measure of bc if b is a midpoint? 4x-5 & 11 + 2x please help asap!

Mathematics
1 answer:
Bad White [126]2 years ago
7 0

Answer:

<em>BC =  27</em>

Step-by-step explanation:

The point B is the midpoint of AC

=> AB = BC

=> 4x - 5 = 11 + 2x

Let's calculate x to work out BC

Transferring the components containing x to the left side, and other components to the right side:

=> 4x - 2x = 11 + 5

Simplifying both sides:

=> 2x = 16

=> x = 8

Working out BC:

=> BC = 11 + 2x = 11 + 2(8) = 11 + 16 = 27

Hope this helps!

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A supermarket soup can display consists of 5 levels of
serg [7]

A supermarket shop cans display consists of 5 levels of  stacked cans. In the display, each level has  4 more cans than the level above it-the total number of cans in display are (b) 100

Step-by-step explanation:

Given that ,

The display consists of 5 levels of  stacked cans- <u>which means that there are 5 levels in which the stacked cans are displayed .</u>

so,the no:of levels are 5

Now given that level has  4 more cans than the level above it.

so. the number of cans in a single level = 5*4=20

Now we know that the total number of level is 5  so we multiply 20 withe the number of levels of can stacked

==>20*5=100

<u>Thus we can say that the total number of cans in display are (b) 100</u>

8 0
2 years ago
Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus \$6$6dollar sign, 6 for each ho
Margarita [4]

For this case, the first thing we must do is define variables.

We have then:

t: number of hours

F (t): total charge

We write the function that models the problem:

F (t) = 6t + b

Where,

b: represents an initial fee.

We must find the value of b.

For this, we use the following data:

Her total fee for a 4-hour job, for instance, is $ 32.

We have then:

32 = 6 (4) + b

From here, we clear the value of b:

32 = 24 + b

32-24 = b

b = 8

Then, the function that models the problem is:

F (t) = 6t + 8

Answer:

the function's formula is:

F (t) = 6t + 8

7 0
2 years ago
Sales tax in one state is 4%. What is the amount of tax on a $56.70 purchase?
NeTakaya

1) Convert 4% to decimal = .04

2) Multiply the purchase by that decimal

.04(56.70) = $2.27

C

5 0
2 years ago
6.6.1. Rao (page 368, 1973) considers a problem in the estimation of linkages in genetics. McLachlan and Krishnan (1997) also di
ikadub [295]

Answer:

Step-by-step explanation:

find attached the solution

7 0
2 years ago
Suppose that the weight of seedless watermelons is normally distributed with mean 6.1 kg. and standard deviation 1.9 kg. Let X b
horrorfan [7]

Answer:

a. X\sim N(\mu = 6.1, \sigma = 1.9) b. 6.1 c. 0.6842 d. 0.4166 e. 0.1194 f. 8.5349

Step-by-step explanation:

a. The distribution of X is normal with mean 6.1 kg. and standard deviation 1.9 kg. this because X is the weight of a randomly selected seedless watermelon and we know that the set of weights of seedless watermelons is normally distributed.

b. Because for the normal distribution the mean and the median are the same, we have that the median seedless watermelong weight is 6.1 kg.

c. The z-score for a seedless watermelon weighing 7.4 kg is (7.4-6.1)/1.9 = 0.6842

d. The z-score for 6.5 kg is (6.5-6.1)/1.9 = 0.2105, and the probability we are seeking is P(Z > 0.2105) = 0.4166

e. The z-score related to 6.4 kg is z_{1} = (6.4-6.1)/1.9 = 0.1579 and the z-score related to 7 kg is z_{2} = (7-6.1)/1.9 = 0.4737, we are seeking P(0.1579 < Z < 0.4737) = P(Z < 0.4737) - P(Z < 0.1579) = 0.6821 - 0.5627 = 0.1194

f. The 90th percentile for the standard normal distribution is 1.2815, therefore, the 90th percentile for the given distribution is 6.1 + (1.2815)(1.9) = 8.5349

7 0
2 years ago
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