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4 years ago

By what fraction would you multiply 8 1/2 so that the product is about 5

Mathematics

2 answers:

Arte-miy333 [17]4 years ago

7 0

8.5 * x = 5

5 / 8.5

Approximately 10/17

Vinil7 [7]4 years ago

4 0

17x/2 = 5

17x = 10

x = 10/17

so, you multiply 8 1/2 by 10/17, and you'll get 5

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USA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacture

anygoal [31]

Answer: No, It does not indicates that the population proportion of consumers loyal to Chevrolet is more than 47%.

Step-by-step explanation:

Let p denotes the proportion of consumers loyal to Chevrolet.

As per given , we have

$H_0: p=0.47\\\\ H_a: p>0.47$

Since the alternative hypothesis $(H_a)$ is right-tailed so the test would be a right-tailed test.

Also , it is given that ,Chevrolet did a study of a random sample of 1006 Chevrolet owners and found that 490 said they would buy another Chevrolet.

i.e. n = 1006

x= 490

$\hat{p}=\dfrac{490}{1006}=0.487$

Test statistic :

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

, where p=population proportion.

$\hat{p}$ = sample proportion

n= sample size.

i.e. $z=\dfrac{0.487-0.47}{\sqrt{\dfrac{0.47(1-0.47)}{1006}}}=1.08$

P-value (for right-tailed test)= P(z>1.08)=1-P(z≤1.08) [∵P(Z>z)=1-P(Z≤z)]

=1- 0.8599=0.1401 [By z-value table.]

Decision : Since p-value (0.14) is greater than the significance level ( $\alpha=0.01$ ) , it means we are failed to reject the null hypothesis.

Conclusion : We have sufficient evidence to support the claim that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice.

Hence, it does not indicates that the population proportion of consumers loyal to Chevrolet is more than 47%.

7 0

4 years ago

I can't seem to answer number 23? How do you solve it?

NNADVOKAT [17]

For every 10 degrees Celsius, degrees Fahrenheit goes up 18, so
10 degrees C is 50
20 degrees C is 68
30 degrees C is 86
40 degrees C is 104

3 0

3 years ago

Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population st

timama [110]

Answer:

The p-value of the test is 0.1212.

Step-by-step explanation:

A one sample z-test can be performed to determine whether the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries.

The hypothesis is defined as:

H₀: The mean hourly wage is same as the reported mean of $24.57 for the goods-producing industries, i.e. μ = $24.57.

Hₐ: The mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries, i.e. μ ≠ $24.57.

The information provided is:

$\bar x=\$23.89\\n=30\\\sigma=\$2.40$

Compute the test statistic as follows:

$z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}=\frac{23.89-24.57}{2.40/\sqrt{30}}=-1.55$

The test statistic value is, z = -1.55.

Compute the p-value of the test as follows:

$p-value=2\times P(Z$

*Use a z-table for the probability.

Thus, the p-value of the test is 0.1212.

4 0

4 years ago

I need help on this

liubo4ka [24]

Absolute value represents a value's distance from zero (0) on the number line. It is expressed using a pair of vertical bars. In the order of operations, absolute value signs are considered like parenthesis and other grouping symbols. We complete the operations inside the absolute value signs first to get a single number. Then we take the absolute value of the number at the same time we evaluate exponents in the expression.

<h3>What is a number line?</h3>

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values (numbers) that are placed at equal intervals along its length.

<h3>What is an absolute value function?</h3>

An absolute value function can be defined as a type of function that consist of an algebraic expression, which placed within absolute value symbols.

<h3>The equation of an absolute value function.</h3>

Mathematically, the standard form of the equation for an absolute value function is given by:

y = a|x - h| +k.

Where:

h and k are the vertex of the graph.

<h3>The characteristics of an absolute value.</h3>

Absolute value represents a value's distance from zero (0) on the number line. Also, it is typically expressed using a pair of vertical bars. In the order of operations, absolute value signs are considered like parenthesis and other grouping symbols such as brackets.

Furthermore, you should complete the operations inside the absolute value signs first to get a single number. Then, you take the absolute value of the number at the same time when you evaluate exponents in the expression.

Read more on absolute value here: brainly.com/question/4838504

#SPJ1

4 0

2 years ago

A high jumper starts the bar at 48 inches and raises the bar 1/2 inch after each jump.How high will the bar be after the seventh

VARVARA [1.3K]

Answer:

51.5 in , Formula: y=1/2x+48

Step-by-step explanation:

First, create a formula as shown above

Next, plug your number into the formula:

y=1/2(7)+48

Then, simplify your equation by multiplying 1/2 by 7 and getting 3.5, now add 48 and you get 51.5in

Last, check your work by adding 1/2 seven times and you will get the same result

I hope this helps you and if it does please give a thanks (i would eternally appreciate a brainliest trying t level up)

If i am wrong leave a comment

3 0

3 years ago