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IrinaK [193]
3 years ago
14

Which of the following is the solution to the inequality below?

Mathematics
1 answer:
garik1379 [7]3 years ago
7 0
The answer is C. x>-3/35
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Please hellp find x y and z
melomori [17]

Answer:

angle x = 98

angle y = 82

angle z = 82

Step-by-step explanation:

angle y + 98 = 180; therefore, angle y = 82 degrees

angles z and y are alternate interior angles and are congruent (equal)

angle x is 98 degrees because angles x and y are same-side interior and their angles are supplementary (add up to 180 degrees)

5 0
2 years ago
An animal shelter spends 5.50 per day to care for each bird and 8.50 per Day to care for each cat and a notice that the shelter
Deffense [45]

Answer:

19 birds

Step-by-step explanation:

First, I wrote my two equations:

5.5x +8.5y = 291.5

x + y = 41

Next, I got the variable y by itself in the second equation. Subtract x to get y = -x + 41. Then, I substituted what y equaled into the first equation. It should look like this: 5.5x + 8.5(-x+41) = 291.5. Distribute 8.5 to get 5.5x -8.5x + 348.5 = 291.5. Subtract 5.5x and 8.5x to get -3x. It should look like this: -3x + 348.5= 291.5. Subtract 348.5 from 291.5 to get -57. Now, you should have -3x = -57. Divide -3 from both sides, to get x = 19. So, there are 19 birds. If you want to go even further, 41-19= 22, which means there are 22 cats. Hope this helped!

6 0
3 years ago
Is b+b+b+c+c+c is a equivalent expression?<br> A. True <br> B. False
Rama09 [41]

Answer:

A. True

Step-by-step explanation:

......................................................................................

5 0
3 years ago
A genetic experiment involving peas yielded one sample of offspring consisting of 409 green peas and 171 yellow peas. Use a 0.05
grigory [225]
The usual expectation for this kind of experiment is that the peas would yield green and yellow peas in a 3:1 ratio, or 75% green to 25% yellow. So your null hypothesis is that the proportion of yellow peas is p=0.25.

You're testing the claim that 26% of the offspring will be yellow, which means the alternative hypothesis is that the proportion of yellow peas is actually 0.26, or more generally that the expected proportion is greater than 0.25, or p>0.25.

The test statistic in this case will be

Z=\dfrac{\hat p-p_0}{\sqrt{\dfrac{p_0(1-p_0)}n}}

where p_0 is the proportion assumed under the null hypothesis, \hat p is the measured proportion, and n is the sample size. You have p_0=0.25, \hat p=\dfrac{171}{171+409}\approx0.29, and n=409+171=580, so the test statistic is

Z=\dfrac{0.29-0.25}{\sqrt{\dfrac{0.25\times0.75}{580}}}\approx2.2247

Because you're testing p>p_0, this is a right-tailed test, so the P-value is

\mathbb P(Z>2.2247)\approx0.0131

The critical value for a right-tail test at a 0.05 significance level is Z_\alpha\approx1.6449, which means the rejection region is any test statistic that is larger than this critical value. Since Z>Z_\alpha in this case, we reject the null hypothesis.

So the conclusion for this test is that the sample proportion is indeed statistically significantly different from the proportion suggested by the null hypothesis.
8 0
3 years ago
Read 2 more answers
Which line has an equation of y=-5x+4 in slope-intercept form?
tino4ka555 [31]

You can figure the line for each pair of points, or you can try the points in the equation you have and see which are on the line.


First answer: x=1, y=-5×1 +4 = -1 . . . not 9. (1, 9) is not a point on the line


Second answer: x=2, y=-5×2 +4 = -6 . . . not -14. (2, 14) is not a point on the line


Third answer: (see the calculation for the first answer) . . . -1 ≠ 1. (1, 1) is not a point on the line


Fourth answer: (see the calculation for the second answer) We know that (2, -6) is on the given line. Checking (4, -16), we find it is as well.



The appropriate choice is the 4th answer:

... a line passing through the points (2, -6) and (4, -16)

4 0
3 years ago
Read 2 more answers
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