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Alja [10]
2 years ago
14

A business shows a profit of $110 for selling 20 leather wallets. How much profit would the business make if they sold 35 wallet

s?
Mathematics
1 answer:
NeX [460]2 years ago
4 0

Answer:

Sales of 35 leather wallets will give profit of $192.5

Step-by-step explanation:

If sales of 20 leather wallet gives $110

Sales of 35 leather wallet gives x

Cross multiply

20x = 110 x 35

20x = 3850

Divide both sides by 20

x = 3850/20

x = $192.5

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△RST is dilated with the rule DT,1/3 (x, y), where the center of dilation is T(3, –2).
dmitriy555 [2]

△RST is dilated with the rule DT,1/3 (x, y), where the center of dilation is T(3, –2).

The distance between the x-coordinates of R and T is 3 .

The distance between the y-coordinates of R and T is 6.

R' is 1 unit left,2 units up from T, so the coordinates of R' are (2,0)

6 0
1 year ago
Read 2 more answers
Suppose Frances is a researcher at Beaded Gemsz, a company that makes beaded jewelry. She wants to evaluate whether using better
Natalija [7]

Answer:

There is 8% (P=0.08) that Frances concludes that the new equipment increases the average daily jewelry production when in fact the new equipment has no effect.

Step-by-step explanation:

We have one-sample z-test with a significance level of 0.08 and a power ot the test of 0.85.

In this test, the null hypothesis will state that the new equipment has the same  productivity of the older equipment. The alternative hypothesis is that there is a significative improvement from the use of new equipment.

The probability that Frances concludes that the new equipment increases the average daily jewelry production when in fact the new equipment has no effect is equal to the probability of making a Type I error (rejecting a true null hypothesis).

The probability of making a Type I error is defined by the level of significance, and in this test this value is α=0.08.

Then, there is 8% that Frances concludes that the new equipment increases the average daily jewelry production when in fact the new equipment has no effect.

6 0
1 year ago
Which equation is the inverse of y = 2x2 – 8?​
natita [175]

The inverse of the function is y=\pm \sqrt{\frac{x+8}{2}}

Explanation:

To find the inverse of the equation y=2x^{2} -8, we need to interchange the variables x and y for the variables y and x.

Thus, the equation becomes

x=2y^{2} -8

Now, we shall find the value of y.

Now, adding 8 to both sides of the equation, we have,

x+8=2y^{2}

Interchanging the sides,

2y^{2} =x+8

Dividing by 2 on both sides,

y^{2} =\frac{x+8}{2}

Taking square root on both sides,

y=\pm \sqrt{\frac{x+8}{2}}

Thus, the inverse of the function is y=\pm \sqrt{\frac{x+8}{2}}

5 0
2 years ago
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449 gram setting. It is
stealth61 [152]

Answer:

We accetp  H₀

Step-by-step explanation:

Information:

Normal distribution  

Population mean      =   μ₀  = 449

Population standard deviation  σ   unknown

Sample size   n  =  23        n < 30    we use t-student test

so   n  =  23    degree of fredom   df = n  - 1  df  = 23- 1   df = 22

Sample mean    μ =  448

Sample standard deviation   s  =  20

Significance level  α  =  0,05  

1.-Hypothesis Test

Null hypothesis                               H₀     μ₀  =  449

Alternative hypothesis                    Hₐ     μ₀  ≠  449

Problem statement ask for determine decision rule for rejecting the null hypothesis. For rejecting the null hypothesis we have to  get an statistic parameter wich implies  that μ is bigger or smaller than μ₀

2.-Significance level   α  =  0,05  ;  as we have a two tail test

α/2    =  0,025

Then from t - student table for  df =  22   and 0,025 (two tail-test)

t(c)  =  ±  2.074

3.- Compute  t(s)

t(s)   =  (  μ  -  μ₀ )  /  s /√n

plugging in values

t(s)   =  (448  -  449) /  20 /√23    ⇒   t(s)   =  -  1*√23 /20

t(s)   =  - 0.2398

4.-Compare t(c)   and  t(s)

t(s)  <  t(c)         - 0.2398  <  - 2.074

Therefore  t(s)  in inside acceptance region.  We accept  H₀

7 0
2 years ago
9. Ms. Ortiz sells tomatoes wholesale. The function p(x)=–80x2 + 320x – 10, graphed below,
labwork [276]

Answer:

<u>The correct answer is B. $310 at $2 per kilogram</u>

Step-by-step explanation:

1. Let's find out the maximum profit Ms. Ortiz can make with a loaf of tomatoes:

function p(x)=–80x² + 320x – 10

For x = 1, price per kilogram of tomatoes would be: 4 - x = 3

–80x² + 320x – 10, replacing with x = 1

-80 * 1² + 320 * 1 - 10 = -80 + 320 - 10 = 230

For x = 2 price per kilogram of tomatoes would be: 4 - x = 2

–80x² + 320x – 10, replacing with x = 2

-80 * 2² + 320 * 2 - 10 = -320 + 640 - 10 = 310

For x = 3, price per kilogram of tomatoes would be: 4 - x = 1

–80x² + 320x – 10, replacing with x = 3

-80 * 3² + 320 * 3 - 10 = -720 + 960 - 10 = 230

<u>The correct answer is B. $310 at $2 per kilogram</u>

7 0
1 year ago
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