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coldgirl [10]
3 years ago
7

Consider the number line of x > 28 which numbers are solutions of the inequality

Mathematics
1 answer:
Gelneren [198K]3 years ago
8 0

Answer:

D and E because they are bigger than 28. C is 28 but there isn't a greater OR EQUAL sign next to it  

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Could someone please help me out with this?​
natka813 [3]
5•3=25 :) hope this helps!
7 0
3 years ago
Read 2 more answers
Which statements are true about the graph of y < 2/3x + 1? Check all that apply.
iragen [17]
Solution is (2,3)
X intercept of boundary line is (-3/2,0)
3 0
3 years ago
Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to b
Alina [70]

Answer:

Null hypothesis = H₀ = There food preferences among vole species are independent of one another.

Alternate hypothesis = H₁ = There is a relationship between voles and food preference.

Expected meadow vole/apple slices = 29.983051

Expected common vole/apple slices = 28.016949

Expected meadow vole/peanut butter-oatmeal = 31.016949

Expected common vole/peanut butter-oatmeal = 28.983051

Chi-square value = χ² = 2.154239

Degree of freedom = 1

Critical value = 3.841

χ² < Critical value

We failed to reject H₀

We do not have significant evidence at the given significance level to show that there is a relationship between voles and food preference.

Step-by-step explanation:

He frequently traps the moles and has noticed what appears to be a preference for a peanut butter-oatmeal mixture by the meadow voles vs apple slices are usually used in traps, where the common voles seem to prefer the apple slices.

So he conducted a study where he used a peanut butter-oatmeal mixture in half the traps and the normal apple slices in his remaining traps to see if there was a food preference between the two different voles.

Null hypothesis = H₀ = There food preferences among vole species are independent of one another.

Alternate hypothesis = H₁ = There is a relationship between voles and food preference.

Data collected by Dr. Pagels:

                                              meadow voles     common voles      Row Total

apple slices                                     26                          32                      58

peanut butter-oatmeal                   35                          25                     60

Column Total                                   61                          57                     118

Where 118 is the grand total.

The expected number is given by

Expected = (row total)×(column total)/grand total

Expected meadow vole/apple slices = 58×61/118

Expected meadow vole/apple slices = 29.983051

Expected common vole/apple slices = 58×57/118

Expected common vole/apple slices = 28.016949

Expected meadow vole/peanut butter-oatmeal = 60×61/118

Expected meadow vole/peanut butter-oatmeal = 31.016949

Expected common vole/peanut butter-oatmeal = 60×57/118

Expected common vole/peanut butter-oatmeal = 28.983051

The chi-square statistic value is given by

χ² = Σ(Observed - Expected)²/Expected

χ² = (26 - 29.983051)²/29.983051 + (32 - 28.016949)²/28.016949 + (35 - 31.016949)²/31.016949 + (25 - 28.983051)²/28.983051

χ² = 2.154239

The degrees of freedom is given by

DoF = (row - 1)×(col - 1)

For the given case, we have 2 rows and 2 columns

DoF = (2 - 1)×(2 - 1)

DoF = 1

The given level of significance = 0.05

The critical value from the chi-square table at α = 0.05 and DoF = 1 is found to be

Critical value = 3.841

Conclusion:

Reject H₀ If χ² > Critical value

We reject the Null hypothesis If the calculated chi-square value is more than the critical value.

For the given case,

χ² < Critical value

We failed to reject H₀

We do not have significant evidence at the given significance level to show that there is a relationship between voles and food preference.

8 0
3 years ago
1. Determine which of the congruency shortcuts can be used to prove that point
Greeley [361]

Answer:

SSS

Step-by-step explanation:

it shows that all three sides are congruent by the congruency lines

it does not show any angles, and it does not show only one or two sides are congruent

3 0
3 years ago
Mary ravi and Alan have a total of $62 in their wallets. Mary has $6 more than Ravi. Alan has 2 times what Mary has. How much do
mixas84 [53]

Answer:

Marry = $17

Ravi = $11

Alan = $34

Step-by-step explanation:

Let us assume

Mary be X

Ravi be Y

Alan be Z

So, the equation in total is

X + Y + Z = 62

It is given that

X = Y + 6

Z = 2X

Now we put the Z value in the total equation, so it would be

X + Y + 2X = 62

3X + Y = 62  .................................... (1)

And can we write

X = Y + 6

X - Y = 6 ................................. (2)

Now substitution these two equations,

3X + Y = 62

X - Y = 6

2X = 68

X = $17

So, Z = 2 × 17 = $34

And, Y

$17 + Y + $34 = $62

So, Y = $11

5 0
2 years ago
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