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Georgia [21]
3 years ago
5

What is the location of the point on the number line that is 3/5 of the way from A=2 and B= 17

Mathematics
2 answers:
Tomtit [17]3 years ago
8 0

Answer:

11

Step-by-step explanation:

luda_lava [24]3 years ago
3 0

Answer: 10

Step-by-step explanation:

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4(-5.4) SHOW WORK PLS
Nana76 [90]

Answer:

-21.6

Step-by-step explanation:

-5.4    

x  4               4x 4=16 so you carry the one to 5x4= 20 + 1 that was carried

--------           keep it negative

-21.6

6 0
2 years ago
A right △ABC is inscribed in circle k(O, r). Find the radius of this circle if:
natta225 [31]

We have been given that a right △ABC is inscribed in circle k(O, r).

m∠C = 90°, AC = 18 cm, m∠B = 30°. We are asked to find the radius of the circle.

First of all, we will draw a diagram that represent the given scenario.

We can see from the attached file that AB is diameter of circle O and it a hypotenuse of triangle ABC.

We will use sine to find side AB.

\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

\text{sin}(30^{\circ})=\frac{AC}{AB}

\text{sin}(30^{\circ})=\frac{18}{AB}

AB=\frac{18}{\text{sin}(30^{\circ})}

AB=\frac{18}{0.5}

AB=36

Wee know that radius is half the diameter, so radius of given circle would be half of the 36 that is \frac{36}{2}=18.

Therefore, the radius of given circle would be 18 cm.

8 0
3 years ago
Assume that hybridization experiments are conducted with peas having the property that for​ offspring, there is a 0.75 probabili
ivolga24 [154]

Answer:

(a) The mean and the standard deviation for the numbers of peas with green pods in the groups of 36 is 27 and 2.6 respectively.

(b) The significantly low values are those which are less than or equal to 21.8. And on the other hand, the significantly higher values are those which are greater than or equal to 32.2.

(c) The result of 15 peas with green pods is a result that is significantly​ low value.

Step-by-step explanation:

We are given that hybridization experiments are conducted with peas having the property that for​ offspring, there is a 0.75 probability that a pea has green pods.

Assume that the offspring peas are randomly selected in groups of 36.

The above situation can be represented as a binomial distribution;

where, n = sample of offspring peas = 36

            p = probability that a pea has green pods = 0.75

(a) The mean of the binomial distribution is given by the product of sample size (n) and the probability (p), that is;

                    Mean, \mu  =  n \times p

                                    =  36 \times 0.75 = 27 peas

So, the mean number of peas with green pods in the groups of 36 is 27.

Similarly, the standard deviation of the binomial distribution is given by the formula;

            Standard deviation, \sigma  =  \sqrt{n \times p \times (1-p)}

                                                  =  \sqrt{36 \times 0.75 \times (1-0.75)}

                                                  =  \sqrt{6.75}  =  2.6 peas

So, the standard deviation for the numbers of peas with green pods in the groups of 36 is 2.6.

             

(b) Now, the range rule of thumb states that the usual range of values lies within the 2 standard deviations of the mean, that means;

          \mu - 2 \sigma  =  27 - (2 \times 2.6)

                       =  27 - 5.2 = 21.8

          \mu + 2 \sigma  =  27 + (2 \times 2.6)

                       =  27 + 5.2 = 32.2

This means that the significantly low values are those which are less than or equal to 21.8.

And on the other hand, the significantly higher values are those which are greater than or equal to 32.2.

(c) The result of 15 peas with green pods is a result that is a significantly​ low value because the value of 15 is less than 21.8 which is represented as a significantly low value.

5 0
3 years ago
The length of a shadow of a building is 28m. The distance from the top of the building to the shadow is 38m. Find the height of
AlexFokin [52]
It appears that the Pythagorean theorem can be applied to this problem
  (distance to shadow)² = (height of building)² + (length of shadow)²
  (38 m)² = (height of building)² + (28 m)²
  660 m² = (height of building)²
Then the height of the building is
  height of building = √660 m ≈ 25.7 m
7 0
3 years ago
1. If 3 + 4 =7 , then 7=3+4 what property is this<br><br> 2. If m
AlladinOne [14]
Question 1 demonstrates the Commutative Property.
3 0
3 years ago
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