Evaluate-32 + (2 – 6)(10) The answer is -49

The scatter plot below shows the amount of profit earned per month by a bagel shop over a period of 11months.

Zolol [24]

This is much easier when you use a software like MS Excel. You have to list the points first. These are: (1,3), (2,2.5), (3,4), (4,5), (5,6.5), (6,5.5), (7,7), (8,6), (9,7.5), (10,7) and (11,9).

Do a scatter plot for this points and add a trend line and you obtain the equation of the line fit. The equation is p=0.6m+2.4

We use this equation to find p when m=12.

p = (0.6×12)+2.4
p = 9.6

Total profit in month 12 would be 9.6 thousand.

3 0

3 years ago

If a || b, m<2=63°, and m<9=105°, find the measure of missing angle m<1=?

worty [1.4K]

Given:

a.) ∠9 = 105°

b.) ∠2 = 63°

Step 1: Determine the measure of ∠10.

∠9 and ∠10 are Supplementary Angles. This means that the sum of the two angles is equal to 180°.

From this, we generate the following equation:

$\text{ }\angle9\text{ + }\angle10=180^{\circ}$

Let's then now proceed to find out the measure of ∠10.

$\text{ }\angle9\text{ + }\angle10=180^{\circ}$ $\text{ }105^{\circ}\text{ + }\angle10=180^{\circ}$ $\angle10=180^{\circ}\text{ - }105^{\circ}$ $\angle10=75^{\circ}$

Step 2: Determine the measure of ∠3.

∠10 and ∠3 are Alternate Exterior Angles. Under this, the two angles must be congruent.

$\text{ }\angle3\text{ = }\angle10$

Therefore,

$\text{ }\angle3\text{ = }\angle10$ $\text{ }\angle3=75^{\circ}$

Step 3: Determine the measure of ∠1.

∠1, ∠2 and ∠3 are also Supplementary Angles. This means that the sum of the three angles is equal to 180°.

Thus, we generate the equation below:

$\text{ }\angle1\text{ + }\angle2\text{ + }\angle3=180^{\circ}$

Let's now find the measure of ∠1,

$\text{ }\angle1\text{ + }\angle2\text{ + }\angle3=180^{\circ}$ $\text{ }\angle1\text{ + }63^{\circ}\text{ + }75^{\circ}=180^{\circ}$ $\text{ }\angle1\text{ + }138^{\circ}=180^{\circ}$ $\text{ }\angle1\text{ }=180^{\circ}\text{ - }138^{\circ}$ $\text{ }\angle1\text{ }=42^{\circ}$

Therefore, the measure of ∠1 is 42°.

8 0

1 year ago

Please help. I will give brainiest ASAP. Giving 10 points The radius of a circle is 7 meters. What is the length of a 135° arc?

11Alexandr11 [23.1K]

Answer:

1=6.28cm

Step-by-step explanation:

7 0

2 years ago

Samples of rejuvenated mitochondria are mutated (defective) in 1% of cases. Suppose 18 samples are studied, and they can be cons

Temka [501]

Probability that no samples are mutated is 0.83, probability that at most one sample is mutated is 0.9812 and probability that more than half the samples are mutated is 0.

Given percentage of rejuvenated mitochondria defective is 1%, and sample size is 18.

Binomial distribution is the probability of exactly x successes on n repeated trials and X can have two outcomes.

P(X=x)= $C_{n,x} p^{x}(1-p)^{n-x}$

percentage of defective rejuvendated mitochondria=1%

p=0.01

Sample size=18

n=18

a) No samples are mutated

This means P(X=0)= $C_{18,0}(0.01)^{0} (0.99)^{18}$

=0.83

b) At most one sample is mutated.

P(X<=1)=P(X=0)+P(X=1)

so,

P(X=0)= $C_{18,0} (0.01)^{0} (0.99)^{18}$

=0.83

P(X=1)= $C_{18,1}(0.01)^{1} (0.99)^{17}$ =

=0.1512

P(X<=1)=0.83+0.1512

=0.9812

c) More than half the samples are mutated.

P(X>9)=P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)+P(X=16)+P(X=17)+P(X=18)

Using two decimals digits precision all will be 0.

Hence Probability that no samples are mutated is 0.83, probability that at most one sample is mutated is 0.9812 and probability that more than half the samples are mutated is 0.

Learn more about probability at brainly.com/question/24756209

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4 0

2 years ago

3 x 104 + 2.5 x 105 = A. 0.5 x 105 B. 2.8 x 105 C. 3.25 x 105 D. 5.5 x 109

WITCHER [35]

Answer:

574.5 A) 52.5 B) 294 C) 341.25 D) 599.5

Step-by-step explanation:

3*104+2.5*105=312+262.5=574.5

A) 0.5*105=52.5

B) 2.8*105=294

C) 3.25*105=341.25

D) 5.5*109=599.5

6 0

3 years ago