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rusak2 [61]
3 years ago
9

Which of the following numbers would be in the solution set to this inequality? Mark all that apply. -2x + 16 ≤ 10

Mathematics
1 answer:
kenny6666 [7]3 years ago
4 0
-2x + 16 < = 10
-2x < = 10 - 16
-2x < = - 6
x > = -6/-2
x > = 3............so any number that is 3 or above is in the solution set
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Help me answer this pls​
stira [4]

Answer:

x=5

Step-by-step explanation:

From this information we know that,

5x - 6 = 3x + 4  \\ 5x - 3x = 4 + 6 \\ 2x = 10 \\ x = 5

Hope it helps :)

6 0
3 years ago
Help me please ahhhhh
Cerrena [4.2K]
<h3>Answers:</h3>
  • ST = 23
  • RU = 8
  • SV = 5
  • SU = 10

====================================================

Explanation:

Focus on triangles SVT and UVT.

They are congruent triangles due to the fact that SV = VU and VT = VT. From there we can use the LL (leg leg) theorem for right triangles to prove them congruent.

Since the triangles are the same, just mirrored, this means ST = UT = 23.

-----------------------

Following similar reasoning as the previous section, we can prove triangle RVU = triangle RVS.

Therefore, RS = RU = 8

-----------------------

SV = VU = 5 because RT bisects SU.

Bisect means to cut in half. The two smaller pieces are equal.

-----------------------

SU = SV + VU = 5+5 = 10

Refer to the segment addition postulate.

3 0
2 years ago
Read 2 more answers
1) Find the lump that must be deposited today to have a future value of $ 25,000 in 5 years if funds earn 6 % componded annually
Hoochie [10]

Answer: $ 18681.45

Step-by-step explanation:

Given: Future value : FV=\$25,000

The rate of interest : r=0.06

The number of time period : t=5

The formula to calculate the future value is given by :-

\text{Future value}=P(1+i)^n, where P is the initial amount deposited.

\Rightarrow\ 25000=P(1+0.06)^5\\\\\Rightarrow\ P=\dfrac{25000}{(1.06)^5}\\\\\Rightarrow\ P=18681.4543217\approx=18681.45

Hence, the lump that must be deposit today : $ 18681.45

4 0
3 years ago
NEED HELP ASAP WILL GIVE BRAINLESTSame scenario - different question. You may use your notes on this checkpoint.
bixtya [17]

Answer:

No

Step-by-step explanation:

There is no meaningful difference between the two mean monthly temperatures. Since the two MADs are 15 degrees and 13.7 degrees, there is no meaningful difference.

6 0
2 years ago
g "They hired an analyst who collected a random sample of 40,361 Game of Thrones fans, and found that 8,337 of those fans said t
Viktor [21]

Answer:

The lower bound for a 90% confidence interval is 0.2033.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 40361, \pi = \frac{8337}{40361} = 0.2066

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2066 - 1.645\sqrt{\frac{0.2066*0.7934}{40361}} = 0.2033

The lower bound for a 90% confidence interval is 0.2033.

6 0
3 years ago
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