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VladimirAG [237]
3 years ago
14

The scores on a math ema tics exam have a mean of 76 and a standard deviation of 7. Find the X-value that corresponds to the Z-s

core 2.942.​
Mathematics
1 answer:
Zina [86]3 years ago
3 0

Answer:

ersdf

Step-by-step explanation:

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If I play video-games 5 hours a day, every day, how long would it take to have 1,500 hours of playtime? I would like to know how
Lelu [443]

Answer:

300

Step-by-step explanation:

5÷1500=300

5×3=15

15-15=0

0000

300×5=1500

sorry this the best way I know how to explain

6 0
3 years ago
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What is the value of x?
Y_Kistochka [10]
I’m pretty sure the value is 80 because that’s a 90° angle. 90 minus that 10 leaves 80
6 0
3 years ago
Within the set of whole numbers , one set of numbers satisfies the recursive formula an=(an-1)^2-an-1, when a4=870 what are the
andrew11 [14]

Answer: 3 and 6 will be the first and second term of the given series respectively.

Explanation:  since it is given-  a_n=(a_{n-1} )^2-a_{n-1} and a_4=870

so, by replacing n by 4, we will get- a_4=a_3^2-a_3⇒870= a_3^2-a_3⇒ a_3^2-a_3-870=0

after solving this equation we will get, a_3= -29 and 30.

If a_3= -29, but it is not a whole number.

Thus,a_3=30 will be the value of third term of the given series.

Again, by applying the given condition a_n=(a_{n-1} )^2-a_{n-1}, a_2= 6 or -5 (not possible), so, a_2=6 will be the second term.

Similarly, a_1=3 or -2 but  we will go to the whole number.

Thus, a_1=3 will be the first term.

8 0
4 years ago
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Solve for 6y+12=3y-3
kherson [118]
6y + 12 = 3y - 3

Subtract 3y on both sides

3y + 12 = -3

Subtract 12 on both sides

3y = -15

Divide by 3 on both sides

y = -5
5 0
4 years ago
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Items are inspected for flaws by two quality inspectors. Both inspectors inspect every item and the probability that an item has
Genrish500 [490]

Answer:

a)0.976

b)0.00926

c)0.2402

d)0.35

Step-by-step explanation:

Let X_i be an item passed by inspector i

Let Y be the event that there is a fault in an item

The probability that an item has a flaw is 0.1 i.e. P(Y)=0.1

If a flaw is present ,it will be detected by the first inspector with probability 0.92 i.e.P(\bar{X_1}|Y)=0.92

So, P(X_1|Y)=1-0.92=0.08

If a flaw is present ,it will be detected by the second inspector with probability 0.7 i.e.P(\bar{X_2}|Y)=0.7

So,P(X_2|Y)=1-0.7=0.3

If an item does not have a flaw, it will be passed by the first inspector with probability 0.95 i.e. P(X_1|\bar{Y}) = 0.95

So, P(\bar{X_1}|\bar{Y}) = 1-0.95=0.05

If an item does not have a flaw, it will be passed by the second inspector with probability 0.8 i.e. P(X_2|\bar{Y}) = 0.8

So, P(\bar{X_2}|\bar{Y}) = 1-0.8=0.2

a)P(found by atleast one inspector | It has flaw )=1-P(found by none inspector | It has flow )

P(found by atleast one inspector | It has flaw )=1-P(X_1|Y) P(X_2|Y)

P(found by atleast one inspector | It has flaw )=1-0.08 \times 0.3

P(found by atleast one inspector | It has flaw )=0.976

Hence the probability that it will be found by at least one of the two inspectors if it has flaw is 0.976

b)P(Y|X_1)=\frac{P(X_1|Y) P(Y)}{P(X_1|Y) P(Y)+P(X_1|\bar{Y}) P(\bar{Y})}

P(Y|X_1)=\frac{0.08 \times 0.1}{0.08 \times 0.1+0.95 \times 0.9}=0.00926

C)P( two inspectors draw different conclusions on the same item)=P(X_1 \cap \bar{X_2} \cap Y)+P(\bar{X_1} \cap X_2 \cap Y)+P(X_1 \cap \bar{X_2} \cap \bar{Y})+P(\bar{X_1} \cap X_2 \cap \bar{Y})

P( two inspectors draw different conclusions on the same item)=0.2402

D)

P(Y|(X_1 \cap X_2))=\frac{P(Y \cap X_1 \cap X_2)}{P(X_1 \cap X_2)}\\P(Y|(X_1 \cap X_2))=\frac{P(Y \cap X_1 \cap X_2)}{P(X_1 \cap X_2 \cap Y)+P(X_1 \cap X_2 \cap \bar{Y})}\\P(Y|(X_1 \cap X_2))=0.35

3 0
3 years ago
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