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3 years ago

Solve the equation: Z - ⅔ = ⅛

Mathematics

2 answers:

Ber [7]3 years ago

7 0

Answer:

19/24

Step-by-step explanation:

Z-2/3=1/8

Z=1/8+2/3

Z=3/24+16/24

Z=19/24

musickatia [10]3 years ago

7 0

Answer:

19/24

Step-by-step explanation:

→ Z - 2/3 = 1/8

→ Z = 1/8 + 2/3

→ Z = (3 + 16)/24

→ Z = 19/24

Therefore , the value of Z is 19/24.

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A survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 sen

tatyana61 [14]

Answer:

96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

Step-by-step explanation:

We are given that a survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was the average desired retirement age, with a standard deviation of 3.4 years.

Firstly, the Pivotal quantity for 96% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average desired retirement age = 55 years

$\sigma$ = sample standard deviation = 3.4 years

n = sample of seniors = 101

$\mu$ = true mean retirement age of all college students

Here for constructing 96% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.

So, 96% confidence interval for the population mean, $\mu$ is ;

P(-2.114 < $t_1_0_0$ < 2.114) = 0.96 {As the critical value of t at 100 degree

of freedom are -2.114 & 2.114 with P = 2%}

P(-2.114 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.114) = 0.96

P( $-2.114 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.114 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

P( $\bar X-2.114 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.114 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

96% confidence interval for $\mu$ = [ $\bar X-2.114 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.114 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $55-2.114 \times {\frac{3.4}{\sqrt{101} } }$ , $55+2.114 \times {\frac{3.4}{\sqrt{101} } }$ ]

= [54.30 , 55.70]

Therefore, 96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

7 0

3 years ago

The roots of x2 -( ) +34 are 5 -/+3i

asambeis [7]

Answer: 10

Step-by-step explanation:

Vieta's formulas :

5 - 3i + 5 + 3i = b ⇒ b =10

Now, we have the equation:

x² -10x + 34 = 0

Mark me brainliest

7 0

3 years ago

If a machine is able to print 36,000 comic books in 1 hour, how many comic books will it print in one minute?

Viefleur [7K]

Answer:

600

Step-by-step explanation:

You would do 36,000 divided by 60 because there are 60 minutes in an hour, and it would be 600.

6 0

3 years ago

Read 2 more answers

What is the solution to question number 33?

Oksana_A [137]

If the width of the garden is w, then the maximum area available is a square, giving you w² as the dimensions. So:
w²=-w²+28w
2w²=28w
w=14
The perimeter is 14 x 4, or 56 feet
How many seed packets??? No idea
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7 0

3 years ago

Any1 know the answers for this?

Bezzdna [24]

X=4 because you combine 2+4 and subtract -6 then divide

7 0

3 years ago