Find - 5+(-3) + 5.

Mrs.Willy bought 3 1/2 pounds of ground turkey and 2 1/2 pounds of white fish the white fish is $4.60 per pound cheaper than the

Sophie [7]

Answer:

the price per pound she paid for the ground turkey = $10.515

the price per pound for the white fish

= $5.915

Step-by-step explanation:

Let x = cost of one pound of ground turkey.

Let y = cost of one pound of white

fish

Mrs.Willy bought 3 1/2 (7/2) pounds of ground turkey and 2 1/2(5/2) pounds of white fish and she paid a total of $51.59. This means

7x/2 + 5y/2= 51.59 - - - - - - -1

the white fish is $4.60 per pound cheaper than the ground turkey. This means

y = x - 4.60

To find the price per pound she paid for the ground turkey and the price per pound for the white fish,

substitute y= x - 4.60 in equation 1

7x/2 + 5y/2= 51.59

3.5x +2.5y = 51.59

3.5x + 2.5(x-4.6) = 51.59

3.5x + 2.5x - 11.5= 51.59

6x = 51.59+11.5= 63.09

x = 63.09/6 = $10.515

Substituting x = 10.515 in equation y = x - 4.60,

y = 10.515-4.60

= $5.915

8 0

3 years ago

What is circumference of a circle with a radius of 25 feet?

dmitriy555 [2]

Answer:

C≈157.08ft

Solution

C=2πr=2·π·25≈157.07963ft

5 0

3 years ago

Read 2 more answers

A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtain

Free_Kalibri [48]

Answer:

$n=\frac{0.38(1-0.38)}{(\frac{0.01}{1.64})^2}=6336.69$

And rounded up we have that n=6337

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.38(1-0.38)}{(\frac{0.01}{1.64})^2}=6336.69$

And rounded up we have that n=6337

3 0

3 years ago

A flagpole is 15 feet tall and casts a shadow that is 20 feet long. What is the distance from the end of the shadow to the top o

MrRissso [65]

Since the flagpole makes a 90 degree angle to the ground, the height is 15 feet tall and the length of the triangle is 20 feet long. You can use the Pythagorean theorem to find out “c”, but since this is a “3,4,5” triangle, you multiply 5 by 5 to get 25, which is the hypotenuse. Therefore, 25 feet is the answer. •hope this helps!•

8 0

4 years ago

The fraction 3/4 is equal to 7.5%

LUCKY_DIMON [66]

No, the fraction 3/4 = 0,75 = 75%. Hope this helps.

8 0

3 years ago

Read 2 more answers