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2 years ago

If VT bisects STU, solve for x

Mathematics

2 answers:

creativ13 [48]2 years ago

6 0

Answer: x=10

Step-by-step explanation:

3x+2/24=12/9

9(3x+2)=288

27×+18=288

-18

27x=270/27

x=10

GalinKa [24]2 years ago

5 0

Answer:

Step-by-step explanation:

3x+2/24=12/9

9(3x+2)=288

27×+18=288

-18

27x=270/27

x=10

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The lifetime of a certain type of battery is normally distributed with mean value 15 hours and standard deviation 1 hour. There

KIM [24]

Answer:

If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1

Sample size = 4

Total lifetime of 4 batteries = 40 hours

We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling:

$\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1}{\sqrt4} = 0.5$

We have to find the value of x such that the probability is 0.05

P(X > x) = 0.05

$P( X > x) = P( z > \displaystyle\frac{x - 40}{0.5})=0.05$

$= 1 -P( z \leq \displaystyle\frac{x - 40}{0.5})=0.05$

$=P( z \leq \displaystyle\frac{x - 40}{0.5})=0.95$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 40}{0.5} = 1.64\\x = 40.825 \approx 40.83$

Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

8 0

3 years ago

PLEASE HELP THIS IS DUE IN LIKE 5 MINS

Damm [24]

Answer:

-2.5

Solution:

-18.5/7.4=-2.5

7 0

2 years ago

Suppose the value R(d) of d dollars in euros is given by R(d)-d The cost P(n) in dollars to purchase and ship n purses is given

S_A_V [24]

<u>Corrected Question</u>

Suppose the value R(d) of d dollars in euros is given by $R(d)=\dfrac67 d$ . The cost in dollars to purchase and ship n purses is given by P(n)=66n+23. Write a formula for the cost, Q(n) in euros to purchase and ship n purses.

Answer:

$Q(n)=\dfrac67(66n+23)$

Step-by-step explanation:

The value R(d) of d dollars in euros is given by $R(d)=\dfrac67 d$

Therefore:

$R(1)=\dfrac67$

$T$hat is, 1 dollars =\dfrac67$ euros$

The cost P(n) in dollars to purchase and ship n purses is given by:

$P(n) = 66n+23.$

Therefore, the cost, Q(n) in euros to purchase and ship n purses

$=\dfrac67 \cdot P(n)\\Q(n)=\dfrac67(66n+23)$

8 0

2 years ago

What is the product of 2•2

lisabon 2012 [21]

Answer:

Step-by-step explanation:

2*2 can be modeled using the following.

2 rows of 2

| |

Total 4 sticks

7 0

2 years ago

How do I solve this problem?

snow_tiger [21]

Answer:a

Step-by-step explanation:

3 0

2 years ago