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lisov135 [29]
3 years ago
9

HELP PLEASEEEEE

Mathematics
2 answers:
cestrela7 [59]3 years ago
5 0

Answer:

Option D

Step-by-step explanation:

Given are the four options and we have to select the one which is not good defintion.

A)A whole number is even if and only if it is divisible by 2.

--- Is correct definition of even number.

B. A whole number is odd if and only if the number is not divisible by 2.  

---  Correct definition

C. An angle is straight if and only if its measure is 180.  

... correct definition

D. A ray is a bisector of an angle if and only if it splits the angle into two angles

...   This is incorrect because congruent/equal angles should be there

Correct definition is

A ray is a bisector of an angle if and only if it splits the angle into two congruent angles

ratelena [41]3 years ago
5 0

Answer:

Option D.

Step-by-step explanation:

A biconditional statement are the statement in which both parts have the same truth value. It is written in the form of "p if and only if q".

First statement: A whole number is even if and only if it is divisible by 2.

This statement is a biconditional statement because it is the definition of even numbers and have the same truth value.

Second statement: A whole number is odd if and only if the number is not divisible by 2.

This statement is a biconditional statement because it is the definition of odd numbers and have the same truth value.

Third statement: An angle is straight if and only if its measure is 180.

This statement is a biconditional statement because it is the definition of straight angle and have the same truth value.

Fourth statement: A ray is a bisector of an angle if and only if it splits the angle into two angles.

This statement is not a biconditional statement because if a ray splits the angle into two angles, then it is not necessary that it is a bisector.

Definition of bisector: A ray is a bisector of an angle if and only if it splits the angle into two congruent angles.

Therefore, the correct option is D.

You might be interested in
The hardware store sells green buckets, which hold 7 liters of water, and white buckets, which hold 1 liter. Austin bought 8 buc
qaws [65]

Answer: 5 green buckets and 3 white buckets

Step-by-step explanation: each green bucket is 7 liters so if Austin buys 5 of them that'll equal 35 liters already. And each white bucket is 1 liter so if he buys 3 of those that'll get him to 38

3 0
3 years ago
In a study researchers reported the mean BMI for men 60 and older to be 24.7 with a standard deviation of 3.3 and the mean BMI f
erica [24]

Answer:

Probability that the difference in the mean BMI (men-women) for 45 women and 50 men selected independently and at random will exceed 2.1 = 0.2451

Step-by-step explanation:

The central limit theorem helps us to obtain the mean and the standard deviation of any sampling distribution.

Given that the sample was obtained from a normal distribution or an approximately normal distribution & it was obtained using random sampling techniques with each variable independent of one another and with each sample with adequate sample size,

Mean of sampling distribution (μₓ) = Population mean (μ)

Standard deviation of the sampling distribution = σₓ = (σ/√N)

where σ = population mean

N = Sample size

For the 45 women

μₓ = μ = 23.1

σₓ = (σ/√N) = (3.7/√45) = 0.552

For the 50 men

μₓ = μ = 24.7

σₓ = (σ/√N) = (3.3/√50) = 0.467

To find the probability that the difference in the mean BMI (men-women) for 45 women and 50 men selected independently and at random will exceed 2.1, we need to combine the distributions.

New distribution = (BMI of men) - (BMI of women) = x = X₁ - X₂

When independent distributions are combined, the combined mean and combined variance are given through the relation

Combined mean = Σ λᵢμᵢ

(summing all of the distributions in the manner that they are combined)

Combined variance = Σ λᵢ²σᵢ²

(summing all of the distributions in the manner that they are combined)

λ₁ = 1, λ₂ = -1

μ₁ = 24.7, μ₂ = 23.1

σ₁ = 0.467, σ₂ = 0.552

Combined mean = (Mean of men) - (Mean of women) = 24.7 - 23.1 = 1.6

Combined Variance = (1²×0.467²) + [(-1)²×(0.552²)] = 0.522793

Combined standard deviation = √0.522793 = 0.723

Probability that the difference in the mean BMI (men-women) for 45 women and 50 men selected independently and at random will exceed 2.1 = P(x > 2.1)

Note that the resulting distribution from the combination of distributions is still a normal distribution since the distributions combined were normal distributions too.

Hence, we first normalize or standardize 2.1

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (2.1 - 1.6)/0.723 = 0.69

To determine the required probability

P(x > 2.1) = P(z > 0.69)

We'll use data from the normal distribution table for these probabilities

P(x > 2.1) = P(z > 0.69) = 1 - P(z ≤ 0.69)

= 1 - 0.7549

= 0.2451

Hope this Helps!!!

6 0
3 years ago
PLEASE GUYS HELP ME :D
Debora [2.8K]
The answer is 24 because you have to do 6x4=24
7 0
3 years ago
Which equation is it? plz help ​
zvonat [6]

Answer:

In the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)

8 0
3 years ago
What is the equation for the sum of half a number and two-thirds of the number is less than 14?
cupoosta [38]

1/2x+2/3x<14

3/6x+4/6x<14


7/6x<84/6

x<504/42

x<12

5 0
3 years ago
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