1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IRINA_888 [86]
2 years ago
8

Please be quick!

Mathematics
1 answer:
diamong [38]2 years ago
4 0

Answer:

The value of x is 6

Step-by-step explanation:

Here, we want to calculate the length of the mid-segment

Mathematically;

if we add the length of the two parallel bases and divide by 2, we get the length of the mid-segment

Thus;

(x + 8 + 5x + 4)/2 = 24

6x + 12 = 2(24)

6x + 12 = 48

6x = 48-12

6x = 36

x = 36/6

x = 6

You might be interested in
Use conversions to solve the problem. Devante buys 1 1/2
melomori [17]

Answer:

45 oz

Step-by-step explanation:

1.5 lb = 24 oz

3/4 = 12 oz

24+12+9 = 45 oz

6 0
3 years ago
the height of a cylinder is three times the diameter of the base . The surface area of thre ylinder is 126pi ft^2. What is thr r
Over [174]
The answer is 3 ft

The surface area (SA) of a cylinder with radius r and height h is:
SA = 2πr² + 2πrh = π(2r² + 2rh)

We have:
SA = 126π ft²
h = 3 * d
d = 2r
h = 3 * 2r = 6r

126π = π(2r² + 2rh)
126 = 2r² + 2rh
126 = 2r² + 2r * 6r
126 = 2r² + 12r²
126 = 14r²
r² = 126/14
r² = 9
r = √9
r = 3
8 0
3 years ago
Read 2 more answers
The weights of professional wrestlers are approximately normally distributed with a mean of 220 pounds and a standard deviation
nikdorinn [45]

Answer:

1.6%

Step-by-step explanation:

The cumulative distribution function (CDF) of a random variable X is denoted by F(x), and is defined as

F(x) = P(X ≤ x). where x is the largest possible value of X that is less than or equal to x

z = (x-μ)/σ,

where:

x is the raw score = 205

μ is the population mean, = 220 pounds

σ is the population standard deviation = 7 pounds

205 -220/7

z = -15/7

z = -2.1428571429

Using the normal cdf function on your graphing calculator,the cumulative distribution is

normalcdf( -2.1428571429, 100)

= 0.01606229

In percent form = 0.01606229 × 100

= 1.6%

5 0
2 years ago
Together, a house and the lot it is on costs $40,000. If the house costs seven times as much as the lot, how much does the lot c
padilas [110]

The lot costs 5000 dollars.

<u>Step-by-step explanation:</u>

The cost of a House and the lot = $40,000.

Let us assume the cost of lot as 'x'

Given that, The cost of the house is 7 times as much as the lot.

Therefore, The cost of the house= 7x

The cost of both the house and the lot= x + 7x

$40,000 = x + 7x

40,000 = 8x

x = 40,000/8

x = 5,000

The lot costs $5000.

4 0
3 years ago
A sample of 1500 computer chips revealed that 32% of the chips do not fail in the first 1000 hours of their use. The company's p
Grace [21]

Answer:

Yes, we have sufficient evidence at the 0.02 level to support the company's claim.

Step-by-step explanation:

We are given that a sample of 1500 computer chips revealed that 32% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature claimed that above 29% do not fail in the first 1000 hours of their use.

Let Null Hypothesis, H_0 : p \leq 0.29  {means that less than or equal to 29% do not fail in the first 1000 hours of their use}

Alternate Hypothesis, H_1 : p > 0.29  {means that more than 29% do not fail in the first 1000 hours of their use}

The test statics that will be used here is One-sample proportions test;

          T.S. = \frac{\hat p -p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = proportion of chips that do not fail in the first 1000 hours of their use = 32%

            n = sample of chips = 1500

So, <u>test statistics</u> = \frac{0.32-0.29}{\sqrt{\frac{0.32(1-0.32)}{1500} } }

                              = 2.491

<em>Now, at 0.02 level of significance the z table gives critical value of 2.054. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject null hypothesis as it fall in the rejection region.</em>

Therefore, we conclude that more than 29% do not fail in the first 1000 hours of their use which means we have sufficient evidence at the 0.02 level to support the company's claim.

7 0
3 years ago
Other questions:
  • Which of the following represents a direct variation?
    13·1 answer
  • el parqueo a abarca un área de 4926 kilómetros cuadrados.esto es 1845 kilómetros cuadrados más que el parqueo b.el parqueo c es
    13·1 answer
  • What is the answer for part a and b
    10·1 answer
  • Divide : algebraic fractions
    8·1 answer
  • Thomas had 12 juice boxes he gave some to his sisters he now has more rhan 5 left.Which inequality can be used to find j the num
    14·1 answer
  • A right triangle is shown below.
    5·2 answers
  • A local store is selling 6 bottles of glue for $3.78. which scale factor could be used to calculate the cost of 42 bottles of gl
    15·1 answer
  • Could somebody help me with
    14·1 answer
  • Please awnser and make sure it is to I will brainlist
    14·1 answer
  • Is (x + 6) a factor of f(x) = x3 − 3x2 + 2x − 8? Show how to use either the remainder theorem or the factor theorem to explain y
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!