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4 years ago

Evaluate the expression "h ÷ 0.07 for h = 4.9

Mathematics

2 answers:

True [87]4 years ago

7 0

Simple. Plug in 4.9 for in into the equation, which would then be 4.9 divided by 0.07. which then equals 70.

aleksandrvk [35]4 years ago

7 0

The answer is 70

4.9 ÷ 0.07 = 70

I hope this helped you ♡

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Albert biked 3 times the number of miles Bob did yesterday. They biked 72 miles altogether. How many miles did Albert bike ?

erastova [34]

Hey there!

To start, first let's assign a variable to each person:

A to represent the miles biked by Albert

B to represent the miles biked by Bob

Now, let's set up a system of equations:

A=3B

A + B = 72

Next, use substitution (plug 3B in for A in the second equation since A is equal to 3B):

3B + B = 72

Then, simplify and solve:

3B + B = 72

(combine like terms)

4B = 72

(divide both sides by 4)

B=18

Now that you know the amount that Bob biked, you can plug his miles into the equation for Albert: A=3B

B=18

A=3(18)

A= 54

Your final answer would be that Albert biked 54 miles.

Hope this helps!

4 0

3 years ago

The original price of a pair of shoes is $42. The sale price is 20% off the original price. What is the amount off the original

alexira [117]

You would have to take 42 and multiply it by .20 and get tht number and add it back to 42

3 0

3 years ago

URGENT!! Solve the following for θ, in radians, where 0≤θ<2π.

lidiya [134]

Answer: 0.93 radians & 2.21 radians

Step-by-step explanation:

$-4sin^2\theta-3sin\theta+5=0\\\\\text{Since this is not factorable, use the quadratic formula to find the roots:}\\\\sin\theta=\dfrac{-(-3)\pm \sqrt{(-3)^2-4(-4)(5)}}{2(-4)}\\\\\\.\quad=\dfrac{3\pm \sqrt{9+80}}{-8}\\\\\\.\quad=\dfrac{3\pm\sqrt{89}}{-8}\\\\\\.\quad=\dfrac{3\pm9.43}{-8}\\\\\\.\quad=\dfrac{12.43}{-8}\quad and\quad \dfrac{-6.43}{-8}\\\\\\.\quad=-1.55\quad and\quad 0.80\\\\\\\theta=sin^{-1}(-1.55)\quad and\quad \theta=sin^{-1}(0.80)$

$\theta=not\ valid\qquad and\quad \theta=0.927$

$\theta = 0.927\ radians\text{\ in the 1st quadrant and}\\\pi-0.927=2.21\ radians\text{\ in the 2nd quadrant}$

6 0

4 years ago

Read 2 more answers

Which of these is not a method to solve systems of

Allushta [10]

Answer:

Fourth option

Step-by-step explanation:

The answer is the fourth option "difference of squares method." It's not the first option because the substitution method is when you pick one of the equation in a system of equations, solve it for a variable and then plug the variable into the other equation to help solve. It's not the second option because the graphing method is used to solve a system of equations by graphing the equations on the same coordinate plane, it's not the third option because the addition method is also known as the elimination method which is the third method to solving a system of equations. Therefore your answer is the fourth option.

Hope this helps.

5 0

3 years ago

Imagine an experiment having three conditions and 20 subjects within each condition. The mean and variances of each condition ar

xxTIMURxx [149]

Answer:

1. Mean square B= 5.32

2. Mean square E= 16.067

3. F= 0.33

4. p-value: 0.28

Step-by-step explanation:

Hello!

You have the information of 3 groups of people.

Group 1

n₁= 20

X[bar]₁= 3.2

S₁²= 14.3

Group 2

n₂= 20

X[bar]₂= 4.2

S₂²= 17.2

Group 3

n₃= 20

X[bar]₃= 7.6

S₃²= 16.7

1. To manually calculate the mean square between the groups you have to calculate the sum of square between conditions and divide it by the degrees of freedom.

Df B= k-1 = 3-1= 2

Sum Square B is:

∑ni(Ÿi - Ÿ..)²

Ÿi= sample mean of sample i ∀ i= 1,2,3

Ÿ..= general mean is the mean that results of all the groups together.

General mean:

Ÿ..= (Ÿ₁ + Ÿ₂ + Ÿ₃)/ 3 = (3.2+4.2+7.6)/3 = 5

Sum Square B (Ÿ₁ - Ÿ..)² + (Ÿ₂ - Ÿ..)² + (Ÿ₃ - Ÿ..)²= (3.2 - 5)² + (4.2 - 5)² + (7.6 - 5)²= 10.64

Mean square B= Sum Square B/Df B= 10.64/2= 5.32

2. The mean square error (MSE) is the estimation of the variance error (σ $_{e}^2$ → $S_{e} ^{2}$ ), you have to use the following formula:

Se²= (n₁-1)S₁² + -(n₂-1)S₂² + (n₃-1)S₃²

n₁+n₂+n₃-k

Se²= 19*14.3 + 19*17.2 + 19*16.7 = 915.8 = 16.067

20+20+20-3 57

DfE= N-k = 60-3= 57

3. To calculate the value of the statistic you have to divide the MSB by MSE

$F= \frac{Mean square B}{Mean square E} = \frac{5.32}{16.067} = 0.33$

4. P(F $_{2; 57}$ ≤ F) = P(F $_{2; 57}$ ≤ 0.33) = 0.28

I hope you have a SUPER day!

3 0

3 years ago