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lesya [120]
2 years ago
10

D = 5x + 10xf solve literal equation for x

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
4 0

Answer:

x=\dfrac{d}{(5+10f)}

Step-by-step explanation:

The given equation is :

d = 5x + 10xf

We need to solve the above equation for x.

Taking x common from RHS,

d=x(5+10f)

Dividing both sides by (5+10f),

x=\dfrac{d}{(5+10f)}

Hence, this is the required value of x.

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The chart below lists the original and sale prices of items at a clothing store.
Tom [10]

Answer: C) For every original price, there is exactly one sale price.

For any function, we always have any input go to exactly one output. The original price is the input while the output is the sale price. If we had an original price of say $100, and two sale prices of $90 and $80, then the question would be "which is the true sale price?" and it would be ambiguous. This is one example of how useful it is to have one output for any input. The input in question must be in the domain.

As the table shows, we do not have any repeated original prices leading to different sale prices.

5 0
2 years ago
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In a survey of 200 people, 37% had a son, 31% had a daughter, and 23% had both a son and a daughter. What is the conditional pro
BaLLatris [955]
About 46 people because that is 23% of 200
5 0
2 years ago
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According to the Vivino website, suppose the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating
Natali [406]

Answer:

a) Null and alternative hypothesis

H_0: \mu=32.48\\\\H_a:\mu< 32.48

b) Test statistic t=-1.565

P-value = 0.0612

NOTE: the sample size is n=65.

c) Do not reject H0. We cannot conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

d) Null and alternative hypothesis

H_0: \mu=32.48\\\\H_a:\mu< 32.48

Test statistic t=-1.565

Critical value tc=-1.669

t>tc --> Do not reject H0

Do not reject H0. We cannot conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

Then, the null and alternative hypothesis are:

H_0: \mu=32.48\\\\H_a:\mu< 32.48

The significance level is 0.05.

The sample has a size n=65.

The sample mean is M=30.15.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12}{\sqrt{65}}=1.4884

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{30.15-32.48}{1.4884}=\dfrac{-2.33}{1.4884}=-1.565

The degrees of freedom for this sample size are:

df=n-1=65-1=64

This test is a left-tailed test, with 64 degrees of freedom and t=-1.565, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t

As the P-value (0.0612) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

<u>Critical value approach</u>

<u></u>

At a significance level of 0.05, for a left-tailed test, with 64 degrees of freedom, the critical value is t=-1.669.

As the test statistic is greater than the critical value, it falls in the acceptance region.

The null hypothesis failed to be rejected.

6 0
2 years ago
Brad measured the length of an object as 2.1 * 10^4 cm. Which items might he have measured? Check all that apply.
Airida [17]

Answer with explanation:

Length of an object

                           =2.1\times 10^4\\\\=2.1 \times 10000\\\\=21,000cm

Other unit of measurement are Meter and Kilometer.

→1 Meter = 100 cm

→1 Kilometer= 1,000 meter=100,000 cm

→→21,000 cm = 210 meter = 0.21 Km

Option B:→ length of a city park, is most suitable measurement ,among all other measurement ,that Brad has done.

Second option Might be: Option A→ Length of a city block , may be That Brad has measured.

All other options are Inappropriate, as they require smaller scale or may be larger Scale ,that brad has used to measure

1.≡ Height of a person →→→240 cm (Maximum of 8 feet)

2.  ≡Distance across a city  →→→1 Km or 2 Km or 3 Km...

3.  ≡Height of an apple tree→→→1,000 cm (Maximum)  

4. ≡Width of a screen in a theater→→→2,100 cm (Maximum)

5 ≡depth of water in a swimming pool→→→225 cm

None of the five things described above appears, that brad has measured.

7 0
2 years ago
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A farmer can spend no more than $4,000 on fertilizer and seeds. The fertilizer costs $2 per pound and seeds cost $20 per pound.
lilavasa [31]

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

f -----> the number of pounds of fertilizer

s ----> the number of pounds of seeds

we know that

The inequality that represent the situation is

2f+20s\leq 4,000

using a graphing tool

see the attached figure

The solution is the triangular shaded area

7 0
2 years ago
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