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Oxana [17]
3 years ago
12

What is the solution to the inequality -6x + 5 > -1

Mathematics
1 answer:
Oksana_A [137]3 years ago
3 0
-6x + 5 > -1
-6x > -1 - 5
-6x > -6
x < -6/-6
x < 1 <===
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3 0
2 years ago
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Two digits of the 5-digit number A = 74*9* are missing. Fill in the missing digits so that the number obtained is the smallest p
e-lub [12.9K]

Answer:

A = 74295.

Step-by-step explanation:

74*9*

- the last number must be a 0 or a 5.

So we try 74090/45 -  not an integer

74095/45 = No

74190/45 No

74195/45  No

74295 / 45 = 1651 So that's it,

6 0
3 years ago
Read 2 more answers
Assume that​ women's heights are normally distributed with a mean given by mu equals 62.5 in​,and a standard deviation given by
Misha Larkins [42]

Answer:

(a) 0.5899

(b) 0.9166

Step-by-step explanation:

Let X be the random variable that represents the height of a woman. Then, X is normally distributed with  

\mu = 62.5 in

\sigma = 2.2 in

the normal probability density function is given by  

f(x) = \frac{1}{\sqrt{2\pi}2.2}\exp{-\frac{(x-62.5)^{2}}{2(2.2)^{2}}}, then

(a) P(X < 63) = \int\limits_{-\infty}^{63}f(x) dx = 0.5899

   (in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)

(b) We are seeking P(\bar{X} < 63) where n = 37. \bar{X} is normally distributed with mean 62.5 in and standard deviation 2.2/\sqrt{37}. So, the probability density function is given by

g(x) = \frac{1}{\sqrt{2\pi}\frac{2.2}{\sqrt{37}}}\exp{-\frac{(x-62.5)^{2}}{2(2.2/\sqrt{37})^{2}}}, and

P(\bar{X} < 63) = \int\limits_{-\infty}^{63}g(x)dx = 0.9166

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))

You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.

4 0
3 years ago
the ratio of boys to girls in a class is 5:4 there are 36 students in the class how many students are girls
Alina [70]
First add up the total parts in the ratio.
5 + 4 = 9
Now we need to know the value of each part
36 / 9 = 4
The girls has total of 4 parts, therefore we can just multiply the number of parts by the amount in each part
4 x 4 = 16
So there r 16 girls in the class
4 0
3 years ago
Match the conditional statement p→q, the converse q→p, the inverse ~p→~q, and the contrapositive ~q→~p in words.
Yuri [45]

For the text answers:

conditional - If 2 lines are supplementary then the measure of the angles sum is 180

converse - If the measure if the angle sum is 180 then the 2 lines are supplementary

inverse - If 2 lines are not supplementary then  the measure if the angle sum is not 180

contrapositive - If  the measure if the angle sum is not 180 then 2 lines are not supplementary.


answer to the picture one:

conditional - If you do all your math homework then you will do well on the test.

converse - If you do well on the test then you do all your math homework

inverse - If you do not do all your math homework then you will not do well on the test.

contrapositive - If you do not well on the test then you did not do all your math homework

5 0
3 years ago
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