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DochEvi [55]
2 years ago
10

What are the solutions of /x+6/is greater than or equal to 5. Write the solutions as either the union or the intersection of two

sets.
Mathematics
1 answer:
Stels [109]2 years ago
7 0
X is greater than or equal to negative 1 and you would right 1 comma infinity
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Colin invests £1200 into his bank account. He receives 3% per year simple interest. How much will Colin have after 4 years? Give
PolarNik [594]

Answer:

1350.61

Step-by-step explanation:

f(x)=1200(1.03^x)

3 0
3 years ago
An average computer mouse inspector can inspect 50 mice per hour. The 48 computer mice inspectors at a particular factory can on
Ronch [10]

Answer:  C. Yes, because -2.77 falls in the critical region .

Step-by-step explanation:

Let \mu be the population mean .

As per given , we have

H_0:\mu=50\\\\ H_a: \mu

Since the alternative hypothesis is left-tailed and population standard deviation is not given , so we need to perform a left-tailed t-test.

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

Also, it is given that ,

n= 48

\overline{x}=46

s= 10

t=\dfrac{46-50}{\dfrac{10}{\sqrt{48}}}=\dfrac{-4}{\dfrac{10}{6.93}}\\\\=\dfrac{-4}{1.443}\approx-2.77

Degree of freedom = df = n-1= 47

Using t-distribution , we have

Critical value =t_{\alpha,df}=t_{0.025,47}=2.0117

Since, the absolute t-value (|-2.77|=2.77) is greater than the critical value.

So , we reject the null hypothesis.

i.e. -2.77 falls in the critical region.

[Critical region is the region of values that associates with the rejection of the null hypothesis at a given probability level.]

Conclusion : We have sufficient evidence to support the claim that these inspectors are slower than average.

Hence, the correct answer is C. Yes, because -2.77 falls in the critical region

4 0
3 years ago
Triangle RST has vertices R(2, 0), S(4, 0), and T(1, –3). The image of triangle RST after a rotation has vertices R'(0, –2), S'(
sleet_krkn [62]

Answer with explanation:

Pre -image= Vertices of Δ R ST=R(2, 0), S(4, 0), and T(1, –3)

Image of Δ R ST after rotation= R'(0, –2), S'(0, –4), and T'(–3, –1)

Pre-Image lies in Fourth Quadrant and Image lies in Third Quadrant.

If triangle is rotated by different angles in anticlockwise direction,then

   (a,b)_{90^{\circ}}=(-b, a)\\\\(a,b)_{180^{\circ}}=(-b, -a)\\\\(a,b)_{270^{\circ}}=(b, -a)

If triangle is rotated by different angles in Clockwise direction,then

     (a,b)_{90^{\circ}}=(b, -a)\\\\(a,b)_{180^{\circ}}=(-b, -a)\\\\(a,b)_{270^{\circ}}=(-b, a)

⇒→So, Pre image that is ,Δ R ST having vertices ,R(2, 0), S(4, 0), and T(1, –3) when rotated by either 90° in clockwise direction or by 270°, in anticlockwise Direction to get Image Δ R' S'T' having vertices R'(0, –2), S'(0, –4), and T'(–3, –1)  .

7 0
3 years ago
Solve for x: 2x - 6 = 10​
allsm [11]
2x=16
X=8
Make sure to do step by step and double check by plugging the answer in.
5 0
2 years ago
At a sale this week, a Michael Kors bag is on sale for $258.40. This is a 62% discount off the original price. What is the origi
Furkat [3]
$680 was the original price!

100-62=38

258.40 x 100= 25840

25840/38=680
8 0
2 years ago
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