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andrew-mc [135]

3 years ago

13

Mike did so well with his bike sale, he's going to Discount his helmets 15% off. If the Sale Price is $23.80, find the ORIGINAL

PRICE of a helmet.

1 answer:

Mandarinka [93]3 years ago

5 0

Answer:

$3.57

Step-by-step explanation:

Multiply $23.80 by %15

Change %15 to a decimal by multiplying it by 100.

0.15 x $23.80= $3.57

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In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the fol

Julli [10]

Answer:

$0.071,1.928$

Step-by-step explanation:

Downtown Store North Mall Store

Sample size n 25 20

Sample mean $\bar{x}$ $9 $8

Sample standard deviation s $2 $1

$n_1=25\\n_2=20$

$\bar{x_1}=9\\ \bar{x_2}=8$

$s_1=2\\s_2=1$

$x_1-x_2=9-8=1$

Standard error of difference of means = $\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$

Standard error of difference of means = $\sqrt{\frac{2^2}{25}+\frac{1^2}{20}}$

Standard error of difference of means = $0.458$

Degree of freedom = $\frac{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}})^2}{\frac{(\frac{s_1^2}{n_1})^2}{n_1-1}+\frac{(\frac{s_2^2}{n_2})^2}{n_2-1}}$

Degree of freedom = $\frac{\sqrt{(\frac{2^2}{25}+\frac{1^2}{20}})^2}{\frac{(\frac{2^2}{25})^2}{25-1}+\frac{(\frac{1^2}{20})^2}{20-1}}$

Degree of freedom =36

So, z value at 95% confidence interval and 36 degree of freedom = 2.0280

Confidence interval = $(x_1-x_2)-z \times SE(x_1-x_2),(x_1-x_2)+z \times SE(x_1-x_2)$

Confidence interval = $1-(2.0280)\times 0.458,1+(2.0280)\times 0.458$

Confidence interval = $0.071,1.928$

Hence Option A is true

Confidence interval is $0.071,1.928$

4 0

3 years ago

A cone has a height of 17 centimeters. What is its volume? Use n 3.14

skad [1K]

Answer:

444.83

Step-by-step explanation:

volume of a cone is given by the formula pi × r^2 × h × 1/3

by implementing the formula we get the answer which is 444.83

make sure to ask if you need any further guidance :)

8 0

2 years ago

Given the quadratic equation ax²-5b+4a=0, where a and b are constants has two real an equal roots,find a:b

sergiy2304 [10]

Answer:

Therefore either a:b = 5:4 or a:b=-5:4

Step-by-step explanation:

ax²-5bx+4a=0

Since the quadratic equation has two real root.

Then b²-4ac>0

Here a= a , b= -5b and c=4a

∴(-5b)²-4.a.4a=0

⇔25b²=16a²

⇔5b=±4a

$\Leftrightarrow \frac{a}{b} =\pm\frac{5}{4}$

Therefore either a:b = 5:4 or a:b=-5:4

5 0

3 years ago

Please help me with this!! ( links= report )

artcher [175]

Answer:

Step-by-step explanation:

parrelograpm (b*H)

40cm^2

Area of semi circle 1/2(pi)r^2

1/2(pi)(5)^2

39.26990

total?

40+39.26990=79.26990

4 0

3 years ago

Find the magnitude of the vector (3, -6).Write your answer in simplified radical form.0/0 (0,0)X Х5?

bekas [8.4K]

$\begin{gathered} \vec{}v=\text{ (x,y)} \\ \lvert v\rvert=\sqrt[]{x^2+y^2\text{ }}\text{ this is the magnitud of a vector} \\ \text{the radical form is when you expess a number with his roots.} \\ \lvert v\rvert=\sqrt[]{3^2+(-6)^2} \\ \lvert v\rvert=\sqrt[]{9^{}+36} \\ \lvert v\rvert=\sqrt[]{45}\text{ but by law of the radicals can be simplified as follows } \\ \lvert v\rvert=\sqrt[]{5\cdot9}\text{ } \\ \lvert v\rvert=\sqrt[]{5^{}}\text{ }\sqrt[]{9}\text{ = 3 }\sqrt[]{5} \end{gathered}$

8 0

1 year ago