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V125BC [204]
3 years ago
11

Solve for x. Round your answer to the nearest hundredth.13.48x − 200 < 256.12

Mathematics
1 answer:
Alona [7]3 years ago
6 0

Answer:

33.84

Step-by-step explanation:

Add 200 on both sides:

13.48x − 200 < 256.12

          +200      +200

13.48x  < 456.12

Divide by 13.48 on both sides:

13.48x < 456.12

/13.48      /13.48

x < 33.84

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A random sample of 64 bags of white cheddar popcorn weighed, on average, 5.23 ounces with a standard deviation of 0.24 ounce.
emmasim [6.3K]

Answer:

We conclude that cheddar popcorn weighed less than 5.5 ounces.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ =5.5 ounces

Sample mean, \bar{x} = 5.23 ounces

Sample size, n = 64

Alpha, α = 0.05

Sample standard deviation, σ = 0.24 ounce.

First, we design the null and the alternate hypothesis

H_{0}: \mu = 5.5\text{ ounces}\\H_A: \mu < 5.5\text{ ounces}

We use One-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{5.23 - 5.5}{\frac{0.24}{\sqrt{64}} } = -9

Now, z_{critical} \text{ at 0.05 level of significance } =-1.645

Since,  

z_{stat} < z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that cheddar popcorn weighed less than 5.5 ounces.

3 0
3 years ago
a school had 690 students sign up for the trivia teams if they wanted to have nine teams with the same number of students on eac
uysha [10]

Answer:

3 more students need to sign up

Step-by-step explanation:

Let the equal number of students in 9 teams be x.

Total number of signed up students = 690.

Let t be the required number of students to be signed.

Therefore, 9x = 690+t.

This means, 690+t is a multiple of 9.

The least value of t to make 690+t, a multiple of 9 is 3 and hence,

\frac{693}{9}

= 77

Hence, 3 more students need to sign up and each of the 9 teams consists of 77 students.

5 0
3 years ago
ILL MARK YOU BRAINLIEST Factor completely 3ab(x + 1) − 2(x + 1).
Nuetrik [128]
Part one of answering how to factor

3 0
3 years ago
Which decimals written in expanded form are greater than 5.3? Check all that apply. 5 + 0.3 + 0.00 5 + 0.3 + 0.001 (5 × 1) + (2
Ksenya-84 [330]

Answer:

Any number in form of x.y = x (1) + 1/10 (y)

where x = 5 & y > 3 , or x > 5

Step-by-step explanation:

Expanded form of 5.3 = 5 (1) + 3 (1/10)

Some decimals written in expanded form that are greater than 5.3    :

5 (1) + 4 (1/10) = 5.4

6 (1) + 2 (1/10) = 6.2  

3 0
3 years ago
One study found that the number of interest groups increased by what percentage between 1959 and 1995?
FrozenT [24]

Answer:

Percentage change in interest groups between 1959 (500) & 1995 (600) = 20%

Step-by-step explanation:

Percentage change = <u>Change ie (New - Old)  </u>  x 100

                                        Old value

Suppose -

Number of interest groups in 1959 = 500

Number of interest groups in 1995 = 600

Percentage change = [ (600 - 500) / 500 ] x 100

( 100 / 500 ) x 100 = 20%

6 0
3 years ago
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