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3 years ago

11

There are 33 questions on Allison's

1 answer:

Brums [2.3K]3 years ago

4 0

Answer:

x=15

y=18

Step-by-step explanation:

then x+y=33

and 2x+5y=120

then x=33–y

since 2x+5y=120

then 2(33–y)+5y=120

then 66–2y+5y=120

then 66+3y=120

then 3y=120–66

then 3y=54

then y=54/3

then y=18

then x=33–18=15

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Fred's cafe uses 2 bags of coffee every day. How long will 2/3 of a bag of coffee last?

Arte-miy333 [17]

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3 years ago

Question Help Scores of an IQ test have a bell-shaped distribution with a mean of 100100 and a standard deviation of 1010. Use

3241004551 [841]

Answer:

a) 95% percentage of people has an IQ score between 80 and 120.

b) 68% percentage of people has an IQ score between 90 and 110.

c) 2.5% percentage of people has an IQ score greater than 120.

Step-by-step explanation:

The empirical formula states that:

The empirical rule is known as the three-sigma rule or 68-95-99.7 rule.
It is a rule which states that for a normal distribution, almost all data falls within three standard deviations of the mean.
68% of data falls within the first standard deviation that is $\mu \pm \sigma$

95% of data falls within the second standard deviation that is $\mu \pm 2\sigma$

99.7% of data falls within the third standard deviation that is $\mu \pm 3\sigma$

a) percentage of people has an IQ score between 80 and 120

(80, 120) can be written as:

$(80, 120) = (100-2(10), 100 + 2(10))\\= (\mu \pm 2\sigma)$

Thus, it is the interval within two standard deviation from the mean.

Thus, by empirical formula, 95% percentage of people has an IQ score between 80 and 120.

b) percentage of people has an IQ score between 90 and 110

(90, 110) can be written as:

$(90, 110) = (100-1(10), 100 + 1(10))\\= (\mu \pm 1\sigma)$

Thus, it is the interval within one standard deviation from the mean.

Thus, by empirical formula, 68% percentage of people has an IQ score between 90 and 110.

c) P(score greater than 120)

= 1 - percentage of score less than 80 - percentage of score between 80 and 120

$= 1 - (95\% + 2.5\%) = 2.5\%$

From empirical formula,

2.5% percentage of people has an IQ score greater than 120.

6 0

3 years ago

Which one would be the number line ???????

8090 [49]

Answer:

B

Step-by-step explanation:

1/2x - 2 > 0

collect like terms

1/2x > 0 + 2

1/2x > 2

Divide both sides by 1/2

x > 2 divided by 1/2

inverse of 1/2 is 2/1

x > 2 times 2/1

x > 4

8 0

3 years ago

Read 2 more answers

If 7x+3=24, find the value of -5 - 6x.<br><br> a)-23<br> b)-7<br> c)1<br> d)17

OlgaM077 [116]

A. -23

If 7x plus 3 equals 24, X equals 3. -5 minus 6 time X(3) equals -23.

6 0

3 years ago

Two boys on bicycles, 45 miles apart, began racing directly toward each other. The instant they started, a fly on the handle bar

BlackZzzverrR [31]

Complete question is: Each bicycle have speed 10 mi/h and fly flies at 21 mi/h. How far the fly flies?

Answer:

47.25 mi

Step-by-step explanation:

The relative velocity of the bicycles is 10+10 = 20 mi/h

Time in which the two bicycles meet:

$t=\frac{45}{20} = 2.25 h$

Distance covered by fly:

$d=vt\\d=21mi/h\times 2.25h \\d=47.25 mi$

3 0

3 years ago