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2 years ago

9

A store manager wishes to reduce the price on her fresh ground coffee by mixing two grades. If she has 35 pounds of coffee which

sells for $2.40 per pound, how much coffee worth $1.80 per pound must she mix with it so that she can sell the final mixture for $2.10 per pound?

2 answers:

kari74 [83]2 years ago

8 0

35 lbs, your welcome even though you probably don't need the answer anymore

aivan3 [116]2 years ago

6 0

Answer:

the answer is 35 lbs

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Money Spent on Road Repair A politician wishes to compare the variances of the amount of money spent for road repair in two diff

Mkey [24]

Answer:

(A) Null Hypothesis, $H_0$ : $\sigma_1^{2} =\sigma_2^{2}$ {means that there is no significant difference in the variances of the amounts spent in the two counties}

Alternate Hypothesis, $H_A$ : $\sigma_1^{2} \neq \sigma_2^{2}$ {means that there is a significant difference in the variances of the amounts spent in the two counties}

(B) The F-table gives critical values of 0.359 and 2.781 for (14,17) degrees of freedom for the two-tailed test.

(C) The value of the F-test statistic is 0.611.

(D) We conclude that there is no significant difference in the variances of the amounts spent in the two counties.

Step-by-step explanation:

We are given that a politician wishes to compare the variances of the amount of money spent on road repair in two different counties.

The data are given here below;

County A County B

s1 = $11,596 s2 = $14,837

n1 = 15 n2 = 18

Let $\sigma_1^{2}$ = variances of the amounts spent in County A.

$\sigma_2^{2}$ = variances of the amounts spent in County B.

(A) So, Null Hypothesis, $H_0$ : $\sigma_1^{2} =\sigma_2^{2}$ {means that there is no significant difference in the variances of the amounts spent in the two counties}

Alternate Hypothesis, $H_A$ : $\sigma_1^{2} \neq \sigma_2^{2}$ {means that there is a significant difference in the variances of the amounts spent in the two counties}

The test statistics that would be used here <u>Two-sample F-test statistics </u>distribution;

T.S. = $\frac{s_1^{2} }{s_2^{2} } \times \frac{\sigma_2^{2} }{\sigma_1^{2} }$ ~ $F__n_1_-_1,_ n_2_-_1$

where, $s_1$ = sample standard deviation for County A = $11,596

$s_2$ = sample standard deviation for County B = $14,837

$n_1$ = sample size for County A = 15

$n_2$ = sample size for County B = 18

(B) Now at 0.05 level of significance, the F-table gives critical values of 0.359 and 2.781 for (14,17) degrees of freedom for the two-tailed test.

(C) So, <u><em>the test statistics</em></u> = $\frac{11,596^{2} }{14,837^{2} } \times 1$ ~ $F__1_4,_ 1_7$

= 0.611

The value of the F-test statistic is 0.611.

Now, as we can see that our test statistics lie within the range of critical values of F, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

(D) Therefore, we conclude that there is no significant difference in the variances of the amounts spent in the two counties.

7 0

2 years ago

Find the circumference of the sphere whose volume is 1375/21 cu. cm

Anit [1.1K]

Answer:

The circumference of the sphere is $C=5\pi\ cm$ or $C=15.7\ cm$

Step-by-step explanation:

step 1

Find the radius of the sphere

we know that the volume of the sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$V=\frac{1,375}{21}\ cm^{3}$

substitute and solve for r

$\frac{1,375}{21}=\frac{4}{3}\pi r^{3}$

assume

$\pi =3.14$

$r^{3}=\frac{1,375}{21}(\frac{3}{4*3.14})$

$r=2.5\ cm$

step 2

Find the circumference

The circumference is equal to

$C=2\pi r$

we have

$r=2.5\ cm$

substitute

$C=2\pi(2.5)$

$C=5\pi\ cm$

assume

$\pi =3.14$

$C=5(3.14)=15.7\ cm$

8 0

2 years ago

Ampicillin 250 mg IM every 12 hours is ordered. After reconstitution, there's 125 mg/mL. How many mL would you give?

Vanyuwa [196]

Answer:

Correct choice is C. 2 mL.

Step-by-step explanation:

Given that Ampicillin 250 mg IM every 12 hours is ordered. After reconstitution, there's 125 mg/mL. Now we need to find about how many mL would you give.

Let number of ml needed = x.

Since ratio of mg per mL will be fixed so we get equation:

$\frac{mL}{mg}=\frac{x}{250}=\frac{1}{125}$

$\frac{x}{250}=\frac{1}{125}$

$x=\frac{1}{125} \times 250$

$x=\frac{250}{125}$

$x=2$

Hence correct choice is C. 2 mL.

4 0

2 years ago

The sum of the interior angles of a polygon is

Crank

Answer:

D) 15

Step-by-step explanation:

The sum of the interior angles of a polygon is given by

$(n - 2) \times 180$

We have that, the sum of the interior angles of a polygon is

26 right angles. We want to find n, the number of sides.

We substitute into the formula to get:

$(n - 2) \times 180 = 26 \times 90$

Divide through by 90

$2(n - 2) = 26$

Divide through by 2

$n - 2 = 13$

$n = 13 + 2$

$n = 15$

6 0

2 years ago

Which term of the AP. 8 , -4 , -16 , -28 ,......... is -880 ?

denis-greek [22]

Answer:

75th term

Step-by-step explanation:

hope it is well understood

6 0

2 years ago

Read 2 more answers