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Nata [24]
3 years ago
5

8. Mason bought a pair of running shoes for $36.98. If the sales tax is 6.5%, how much

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

Answer:

$39.38

Step-by-step explanation:

$36.98 * 6.5%= 2.4037

2.4037 + 36.98= 39. 3837

round up

$39.38

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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
4 years ago
Which unit rate corresponds to the proportional relationship shown in the graph?
Evgen [1.6K]

Answer:

1.5 cm/s​

Step-by-step explanation:

The unit rate is the same as the slope.

To find the slope, we use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Using our points, we have

m = (9-0)/(6-0) = 9/6 = 3/2 = 1.5 cm/s

6 0
3 years ago
Read 2 more answers
140 for 21 minutes how much for 18.minutes
statuscvo [17]
In 18 minutes its 120 because you find the unit
3 0
3 years ago
Evaluate.<br> 13[42–(2+4)]
german

Answer:

468

Step-by-step explanation:

=13[42-6]

=13 (36)

=13×36

=468

6 0
3 years ago
3. Which expression is equivalent to log532?
saul85 [17]

Answer: The Nth power xN of a number x was originally defined as x multiplied by itself, until there is a total of N identical factors. By means of various generalizations, the definition can be extended for any value of N that is any real number.

(2) The logarithm (to base 10) of any number x is defined as the power N such that

x = 10N

(3) Properties of logarithms:

(a) The logarithm of a product P.Q is the sum of the logarithms of the factors

log (PQ) = log P + log Q

(b) The logarithm of a quotient P / Q is the difference of the logarithms of the factors

log (P / Q) = log P – log Q

(c) The logarithm of a number P raised to power Q is Q.logP

log[PQ] = Q.logP

Step-by-step explanation:

8 0
3 years ago
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