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Mila [183]
2 years ago
13

A triangle has angle measures of 95° and 65° What is the measure of the third angle ​

Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
4 0
The third angle is 20°. This is because you add the two angles you have already (95+65) and then you subtract that from 180. In simplier words: If you know 2 angles then you can subtract their sum from 180° to find the measure of the 3rd angle.
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Snapdragon plants have a gene that determines the presence of chlorophyll. The dominant allele (C) causes the plant to make chlo
AleksAgata [21]

Answer: i)For X = (0,1) then P(x) = (1/3, 2/3)

              ii) Then p=(2/3) as n=8

              iii) 0.06828

Step-by-step explanation:

Use binomial distribution:

Probability of being yellow (by having 1 recessive allele) is 2/3. This is a binomial distribution with p=2/3. And since there are 8 selections, our n is 8. So p=(2/3), n=8.

Recall that in binomial distribution P(X=x) = C(n,x) × p^x × (1-p)^n-x.

So for 3 out of 8, it means x=3 and n=8.  

Our equation becomes P(exactly three Snapdragon are yellow) = P(X=3) = (8C3) × (2/3)³ × (1/3)5 = 0.06828

7 0
3 years ago
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
balandron [24]
Here you have 2 linear equations and are to solve this system.  Both equations have already been solved for y, so you can set one of them = to the other one:

-2x+11 = -3x+21.

Then 3x-2x = 21 - 11, or         x = 10 (answer)

Find y by subst. x = 10 into either of the given equations.

Solution is then (10, ? )
7 0
3 years ago
Please help!
mariarad [96]

Answer: 1,045 passengers

Step-by-step explanation:

This question involves multiple steps. Let's first try to figure the number of children on the cruise.

The ratio of girls to the total number of children was 2:5. There are 198 boys.

This information tells me that for every 5 children, there's 2 girls and 3 boys.

Based off of this information, we can divide the total number of boys by 3 in order to find the number of children.

198÷3=66

Let's multiply 66 by 5 since that's the number of groupings based off the ratio.

66×5=330

Let's check the number of children. Since the ratio of girls to total children is 2:5 and we already confirmed there's 198 boys, there should be 132 girls. We can turn this ratio into a fraction where 2/5 of the children are girls. we can confirm this by multiply 330 by 2/5 (0.4) and getting 132.

There are 330 children on the cruise.

The ratio of the number of adults to the number of children was 13:6.

For every 6 children, there were 13 adults. Let's divide the number of children by 6 in order to find the number of groupings.

330÷6=55

Let's now multiply the groupings by 13 to find the number of adults.

55×13=715

So there should be 715 adults and 330 children on the cruise.

715+330=1,045

5 0
3 years ago
Solve for x<br><br> 3(ax + 9) = -4 (-2 - 10x)
ivolga24 [154]

Answer:

19

-----   =   x

40-3a

Step-by-step explanation:

3(ax + 9) = -4 (-2 - 10x)

Distribute

3ax +27 = 8+40x

Subtract 3ax from each side

3ax-3ax +27 = 8+40x-3ax

27 = = 8+40x-3ax

Subtract 8 from each side

27-8 = 8-8+40x-3ax

19 = 40x-3ax

Factor an x on the right side

19 = x(40-3a)

Divide each side by 40-3a

19/(40-3a) = x(40-3a)/(40-3a)

19

-----   =   x

40-3a

8 0
2 years ago
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
Alborosie
Assume that the rule connecting height of the candle to time is a linear one.  If you do, then we have to find the equation of this line, and then use this equation to predict the height of the candle after 11 hours.

Two points on this line are (6,17.4) and (23, 7.2).  The slope is thus
         7.2-17.4           -6
m = ---------------  =  -----------  or   -3/5.
           23-6                 10

Find the equation of the line.  I'm going to use the slope-intercept formula:

y = mx + b  =>   7.2 = (-3/5)(23) + b.  Solving for b,   b = 21.

Now    we know that y = (-3/5)x + 21

Let x=11 to predict the height of the candle at that time.

y = (-3/5)(11) + 21 = 14.4 inches  (answer)
7 0
3 years ago
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