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DIA [1.3K]
3 years ago
14

(14 – 6) ÷ (6 – 2) _____ 4 • (10 – 8) – 2 • 2

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
5 0
(14-6) =8
(6-2)=4
8/4=2
(10-8)=2
2*4=8
-2*2=-4
8-4=4
2<4
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List the integers that satisfy both these inequalities, 2x+9 -12
Flura [38]

Answer:

x < -10.5

Step-by-step explanation:

list the integers that satisfy both these inequalities, 2x+9 <-12

Subtract 9 from  both sides;

2x +9 - 9 < -12-9

2x < -21

x < -21/2

x < -10.5

<em>Hence all the integers are values of x less than 10.5</em>

<em></em>

4 0
3 years ago
Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally
Dafna1 [17]

Answer:

a) 0.0869 = 8.69% probability that the thickness is less than 3.0 mm

b) 0.0668 = 6.68% probability that the thickness is more than 7.0 mm

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 4.9, \sigma = 1.4

(a) the thickness is less than 3.0 mm

This is the pvalue of Z when X = 3.

Z = \frac{X - \mu}{\sigma}

Z = \frac{3 - 4.9}{1.4}

Z = -1.36

Z = -1.36 has a pvalue of 0.0869

0.0869 = 8.69% probability that the thickness is less than 3.0 mm

(b) the thickness is more than 7.0 mm

This is 1 subtracted by the pvalue of Z when X = 7. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{7 - 4.9}{1.4}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

1 - 0.9332 = 0.0668

0.0668 = 6.68% probability that the thickness is more than 7.0 mm

5 0
3 years ago
I neeeddd helpppppppppppp
Ostrovityanka [42]

Answer:

0.1

Step-by-step explanation:

There are ten tiles and one G and 0.1 is a tenth of one, so your chances are 1 in 10

8 0
2 years ago
Read 2 more answers
HELP!!!!!!!!!! PLEASE!!!!!!!WILL MARK AS BRAINLIEST
Goshia [24]

<t =33 since triangle  RUT is isosceles  (RU = TU)

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<rus = < sut  from the diagram

<rus + <sut = <u

x + x = 114

2x = 114

divide by 2

x = 57

6 0
3 years ago
Read 2 more answers
Solve for x. 3(3x - 1) + 2(3 - x) = 0 = 0
BARSIC [14]
If you would like to solve the equation 3 * (3 * x - 1) + 2 * (3 - x) = 0, you can calculate this using the following steps:

3 * (3 * x - 1) + 2 * (3 - x) = 0
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9 * x - 3 + 6 - 2 * x = 0
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7 * x = - 3    /7
x = - 3/7

The correct result would be - 3/7.
4 0
3 years ago
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