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Leno4ka [110]
2 years ago
6

Fahi's age is 3/4 of Mia's age. The sum of their ages is 91. How much older is Mia than Fahi. Please give and equation and answe

r
Mathematics
1 answer:
densk [106]2 years ago
4 0

Answer:

Mia is 45 1/2 and fahi is 68 1/4

Step-by-step explanation

mia=m

fahi=f

m+f=91

3/4 0f 91= 68.25= 68 1/4

91/4= 22.75

22.75x3=68.25

91-68.25= 22.75

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A lock has two buttons: a "0" button and a "1" button.To open a door you need to push the buttons according to a preset 8-bit se
ratelena [41]

Answer:

Step-by-step explanation:

The problem relates to filling 8 vacant positions by either 0 or 1

each position can be filled by 2 ways so no of permutation

= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

= 256

b )

Probability of opening of lock in first arbitrary attempt

= 1 / 256

c ) If first fails , there are remaining 255 permutations , so

probability of opening the lock in second arbitrary attempt

= 1 / 255 .

7 0
2 years ago
The sales data for January and February of a frozen yogurt shop are approximately normal. The mean daily sales for January was $
VashaNatasha [74]

Answer:

January had a higher z-score for sales on the 15th, and the value of that z-score was of 0.5.

Step-by-step explanation:

z-score:

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

January:

The mean daily sales for January was $300 with a standard deviation of $20. On the 15th of January, the shop sold $310 of yogurt. This means, respectively, that \mu = 300, \sigma = 20, X = 310. So

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

Z = \frac{310 - 300}{20}

Z = 0.5

February:

The mean daily sales for February was $320 with a standard deviation of $50. On the 15th of February, the shop sold $340 of yogurt. This means, respectively, that \mu = 320, \sigma = 50, X = 340. So

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

Z = \frac{340 - 320}{50}

Z = 0.4

January had a higher z-score for sales on the 15th, and the value of that z-score was of 0.5.

3 0
2 years ago
A coffeehouse charges a flat rate,r, for each hour customer wants to use the internet. Enter an equation to express the total co
sweet-ann [11.9K]

Answer:

c=rt is the equation to express the total cost c to use the internet at the coffeehouse for t hours.

Step-by-step explanation:

Given A coffeehouse charges a flat rate, r for each hour customer wants to use the internet. we have to write the equation to express the total cost c to use the internet at the coffeehouse for t hours.

Charges of internet per hour = r

Total hour = t hours

Hence, Cost = (Charges per hour)(Total hours)

                     =r\times t

∴ c=rt

which is the linear equation to express the total cost c to use the internet at the coffeehouse for t hours.

5 0
2 years ago
PICK MORE THAN ONE ANSWER:
ss7ja [257]

Answer:

The correct answers are "After adding the 0 test score, the mean would be affected.", ad "Before the missed test, Eva’s median score was 91".

Step-by-step explanation:

We know that the mean and median scores would not be helpful in determining Eva's abilities since the 0 is not a representation of how much she knows. However, it will affect the average as adding a 0 to the numerator and a 1 to the denominator will lower the average.

Finally, we can tell the median is 91 before added as when we line up the scores in ascending order, the middle number is 91.

82, 90, 91, 96, 100

4 0
2 years ago
Read 2 more answers
Consider the diagram and proof below.
QveST [7]
<span>Given the following statements and Reasons

1. WXYZ is a ▱; ZX ≅ WY 1. given
2. ZY ≅ WX 2. opp. sides of ▱ are ≅
3. YX ≅ YX 3. reflexive
4. △ZYX ≅ △WXY 4. SSS ≅ thm.
5. ∠ZYX ≅ ∠WXY 5. CPCTC
6. m∠ZYX ≅ m∠WXY 6. def. of ≅
7. m∠ZYX + m∠WXY = 180° 7. ?
8. m∠ZYX + m∠ZYX = 180° 8. substitution
9. 2(m∠ZYX) = 180° 9. simplification
10. m∠ZYX = 90° 10. div. prop. of equality
11. WXYZ is a rectangle 11. rectangle ∠ thm.

The missing reason in step 7 is "</span><span>consecutive ∠s in a ▱ are supplementary"</span>
8 0
2 years ago
Read 2 more answers
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