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KiRa [710]
3 years ago
12

Will give brainliest to the correct answer (nor links or account will be reported) :)

Mathematics
1 answer:
Setler [38]3 years ago
4 0

Answer:

38, 26

Step-by-step explanation:

(x+78) + (x-12) +x = 180

3x + 66 =180

3x = 114

x = 38

P = 38-12=26

You might be interested in
An environmental group at a local college is conducting independent tests to determine the distance a particular make of automob
melomori [17]

Answer:

26.5265

Step-by-step explanation:

<u>Confidence Interval</u>

When the population standard deviation \sigma is known, the formula for a confidence interval for a population mean \bar x is:

\displaystyle \bar x \pm z\frac{\sigma}{\sqrt{n}}

Where n is the sample size and z is the corresponding z-value from the standard normal distribution for the selected confidence level. The value of z for a 95% confidence interval is z=1.96. The rest of the values are

\bar x=28.2,\ \sigma=2.7, \ n=10

Calculating the confidence interval

\displaystyle 28.2 \pm 1.96\frac{2.7}{\sqrt{10}}

\displaystyle 28.2 \pm 1.6735

Or, equivalently

26.5265

6 0
3 years ago
The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviat
tensa zangetsu [6.8K]

Answer:

0.6710

Step-by-step explanation:

The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.

Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 107 mm

σ is the population standard deviation = 5 mm

For x = 104 mm

z = 104 - 107/5

z = -0.6

Probability value from Z-Table:

P(x = 104) = 0.27425

For x = 115 mm

z = 115 - 107/5

z = 1.6

Probability value from Z-Table:

P(x = 115) = 0.9452

The probability that the diameter of a selected bearing is between 104 and 115 millimeters is calculated as:

P(x = 115) - P(x = 104)

0.9452 - 0.27425

= 0.67095

Approximately = 0.6710

8 0
3 years ago
Which statement is true?
Nadusha1986 [10]

The correct statement is D.

Step-by-step explanation:

Given,

For backyard

Length = 5x-2

Width = 2x+4

For house

Length = 5x-2

Width = 4x-12

For driveway

Length = x+10

Width = 4x-12

To find the correct statement.

Formula

The area of a rectangle = Length × Width

So,

The area of the house and the driveway = (5x-2)(4x-12) + (x+10)(4x-12)

= (4x-12)(5x-2+x+10)

= (4x-12)(6x+8)

=24x^{2} +32x-72x-96

= 24x^{2} -40x-96

So, the correct statement is D

You can cross check the other statements.

5 0
3 years ago
PLEASE ANSWER ASAP!!!! ILL MAKE YOU BRAINIEST!!!<br><br> What is the length of XY?
JulijaS [17]
Not sure, but i think it's 4
6 0
3 years ago
Read 2 more answers
HELP!! I DON'T KNOW WHAT TO DO
Kay [80]
3 1/4 cups for 13 servings...
(3 1/4) / 13 =
13/4 * 1/13 =
13/52 which reduces to 1/4 cup per serving

for 28 servings...
1/4 * 28 = 28/4 = 7 cups <== 28 servings requires 7 cups of flour
3 0
3 years ago
Read 2 more answers
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