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NNADVOKAT [17]
3 years ago
8

Tarek will spend at most $26 on gifts. So far, he has spent $14. What are the possible additional amounts he will spend?

Mathematics
2 answers:
antiseptic1488 [7]3 years ago
8 0

Answer:

14 + c ≤ 26

Step-by-step explanation:

Since Tarek can spend at most $26, then the symbol to represent this relationship/inequality is ≤ (less than or equal to). He's already spent $14, so 14 plus an additional amount should be less than or equal to 26!

lord [1]3 years ago
7 0

Answer:

c<$12

Step-by-step explanation:

$26-$14>c

$12>c

c<$12

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He would have $6,760 in his account after year one.
Do 6,500*0.04=260
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2 years ago
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A survey of 250 homeless persons showed that 14 were veterans. Find a point estimate for the population proportion of homeless p
snow_lady [41]

Answer:

\hat p =\frac{14}{250}= 0.056

And for this case that represent the 5.6% of the homeless persons who are veterans

Step-by-step explanation:

We know that in a survey of 250 homeless persons 14 were veterans. We can find the estimated proportion of homeless persons who are veterans with the following formula:

\hat p =\frac{X}{n}

The last one is an unbiased estimator of the true population proportion p

And replacing the info given we got:

\hat p =\frac{14}{250}= 0.056

And for this case that represent the 5.6% of the homeless persons who are veterans

8 0
3 years ago
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3 years ago
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A salesperson is paid a flat rate plus a fixed percentage of her sales. Last month, she sold $16,000 worth of goods and was paid
Feliz [49]

Answer:

<em>She will be paid $1,350</em>

Step-by-step explanation:

<u>Linear Modeling</u>

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

y=mx+b, where m and b are constants.

The payments for a salesperson will be linearly modeled. There are two known points: When the sales were $16,000, the payment was $1,600. This makes the point (16,000;1,600).

We also know when the sales were $12,000, the payment was $1,400. The point is (12,000;1,400)

Let's use the points to find the values of m and b.

Using (16,000;1,600):

1,600=m*16,000+b

Using (12,000;1,400):

1,400=m*12,000+b

Subtracting both equations:

200=16,000m-12,000m

200=4,000m

Solving:

m=200/4,000=0.05

Using the first equation and the value of m:

1,600=0.05*16,000+b

1,600=800+b

Solving:

b=800

The equation is now complete:

y=0.05x+800

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y=0.05\cdot 11,000+800

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She will be paid $1,350

3 0
3 years ago
A company makes rubber rafts. 12% of them develop cracks within the first month of operation. 27 new rafts are randomly sampled
rewona [7]

The probability that the number of tested rafts that develop cracks is no more than 3 is <u>.00006</u>.

The true proportion, p for the population is given to 0.12.

Thus, the mean, μ, for the sample = np = 27*0.12 = 3.24.

The sample size, n, given to us is 27.

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s = √{0.12(1 - 0.12)}/27 = √0.003911 = 0.0625389.

We are asked to calculate the probability that the number of tested rafts that develop cracks is no more than 3, that is, we need to calculate P(X ≤3).

P(X ≤ 3)

= P(Z ≤ {(3 - 3.24)/0.0625389) {Using the formula z = (x - μ)/s}

= P(Z ≤ -3.8376114706)

= .00006 {From table}.

Thus, the probability that the number of tested rafts that develop cracks is no more than 3 is <u>.00006</u>.

Learn more about sampling distributions at

brainly.com/question/15507495

#SPJ4

8 0
1 year ago
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