Which value is equivalent to (7•3•2/7•5) ^2 × (7^0/5^-3)^3 × 5^-9
(please help I'm confused picture makes more sense)​

Answer:

x=20

Step-by-step explanation:

add the to both sides

3.5x=70

divide both sides by 3.5

x=20

Answer:

true

Step-by-step explanation:

The statement 'The correct way to solve an expression is to work the problem from left to right.' is True.

"It is a combination of numbers, variables and mathematical operations."

"It is a rule that states the sequence in which the multiple operations in an expression should be solved."

For given question,

To solve an expression we use PEMDAS ordering.

This means, first we solve parentheses, then solve exponents, then perform all multiplications and divisions from left to right and lastly perform addition and subtraction, from left to right.

This means, to solve an expression work the problem from left to right.

Therefore the statement 'The correct way to solve an expression is to work the problem from left to right.' is True.

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Answer:

Maybe 3 because 2*9=x+15

So 18=x+15

So x=3

Am not sure

Answer:

3 because 2*9=x+15

So 18=x+15

So x=3

Step-by-step explanation:

The steps to conduct the steps of hypothesis testing on these data are:

The hypothesis will be:

Since we are comparing (GPAs) of three groups (students who check e-mail day by day, students  who check mail at least 2x a week, and students who check mail less than 2x a week), one can be able to make use of one-way analysis of variance (ANOVA) as the fitting test measurement.

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Answer:

13/16

Step-by-step explanation:

A sample space is a collection or a set of possible outcomes of a random experiment.

I have created the sample space for these data and attached it.  As you can see there are 16 possible outcomes.

To find the probability that the total showing is greater than 3, simply identify the number of values in the sample space that are greater than 3.

(I have highlighted these in yellow).

Therefore, P(X>3) = 13/16

Answer:

Step-by-step explanation:

We can cut 4 4/15 pieces from 5 1/3 inches candy bar if the length of each candy is 1 1/4 inch.

Length of candy bar is 5 1/3 which can be written as 16/3 in

Length of piece that is to be cut from long candy bar is 1 1/4 or 5/4 in

Number of pieces

= length of piece/ total length of candy bar

=  (16/3) / (5/4)

= 16/3 × 4/5

= 64/15

= 4 4/15 pieces

4 4/15 number of pieces can be cut from 5 1/3 inches long candy bar

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The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

i think its b sorry if  it's wrong

Step-by-step explanation:

5. 6. 11. 17. 28. 45 . 73

5 &6 are given,

Then,

5+6=11

6+11=17

11+17=28

17+28=45

So,

28+45=73

Answer:

73

Step-by-step explanation:

We are adding the two numbers before

5+6 = 11

6+11 = 17

11+17 = 28

17+28 = 45

28+45 =73

Answer: 132 cm cubed

Step-by-step explanation:

0.5*3*4*2=12

10*5=50

4*10=40

3*10=30

30+40+50+12=132 cm cubed

Answer:

She will earn 140$ a year.

Step-by-step explanation:

Divide 1,000 by the percent and it gives you the answer.

Hope this helped.

The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

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Answer:

1. 2 + 3

2. -4 - 8

3. -4 + 8

4. -2 × 2

5. 24 ÷ 2

6. 3 - 8

7. 1 × 7

8. -7 ÷ -1

9. 36 ÷ 4

10. 3 × -3

you're welcome

Answer:

D

Step-by-step explanation:

1 2/3÷4/5

=5/3×5/4

=25/12

2 and 1 over 12

The answer is:

Work/explanation:

Bear in mind that the sum of all the angles in a triangle is 180°.

Given two angles, we can easily find the third one.

Let's call it x.

Next, we set up an equation:

\(\sf{54+87+x=180}\)

\(\sf{141+x=180}\)

Subtract 141 on each side.

\(\sf{x=180-141}\)

\(\sf{x=39}\)

Answer:

2

Step-by-step explanation:

1+1=2

Using central angle theorem,

The measure of the arc BC = 110°.

An angle with its vertex in the middle of the circle it creates with its two radii is said to be central.

Here in the question,

As per the central angle theorem:

(2x -30) ° + x° = 180°

⇒ 2x - 30 + x = 180

⇒ 3x - 30 = 180

Adding 30 on both sides:

⇒ 3x = 180 + 30

⇒ 3x = 210

Dividing both sides by 3.

⇒ x = 70°

Now BC = 2x-30

= 2 × 70 -30

= 140 - 30

= 110°

Therefore, the measure of BC = 110°.

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Answer:

1) \(z=\frac{0.07 -0.06}{\sqrt{\frac{0.06(1-0.06)}{300}}}=0.729\)  

We can calculate the p value with the following formula:

\(p_v =2*P(z>0.729)=0.466\)  

The p value for this case is very high and using the significance level of 0.01 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the statment makes sense.

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

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

\(n=\frac{0.06(1-0.06)}{(\frac{0.01}{1.96})^2}=2166.66\)  

And rounded up we have that n=2167

Step-by-step explanation:

Information given

n=300 represent the random sample taken

X=21 represent the number of peanuts empty  

\(\hat p=\frac{21}{300}=0.07\) estimated proportion of peanust empty

\(p_o=0.06\) is the value to test

\(\alpha=0.05\) represent the significance level

z would represent the statistic

\(p_v\) represent the p value

Part 1

We want to test if the true proportion is 6% or no the system of hypothesis are:  

Null hypothesis:\(p=0.06\)  

Alternative hypothesis:\(p \neq 0.06\)  

The statistic is given by:

\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)  

Replacing the info given we got:

\(z=\frac{0.07 -0.06}{\sqrt{\frac{0.06(1-0.06)}{300}}}=0.729\)  

We can calculate the p value with the following formula:

\(p_v =2*P(z>0.729)=0.466\)  

The p value for this case is very high and using the significance level of 0.01 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the statment makes sense.

Part 2

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:

\(n=\frac{0.06(1-0.06)}{(\frac{0.01}{1.96})^2}=2166.66\)  

And rounded up we have that n=2167

Answer:

equation: 9x+6=60

solution: 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

6×9=54

54+6+=60

In terms of trigonometric ratios, x is 6 sin∅ and y is 6 cos∅.

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others. Circular trigonometric functions are another name for them. The ratios of an angle in a triangle are a straightforward definition of a function. This means that these trig functions provide the relationship between the angles and sides of a triangle.

Given,

Expressing x and y in terms of trigonometric ratios,

Base = 6

x = Opposite

y = Hypotenuse

x = 6 sin∅

y = 6 cos∅

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Answer: y = 2/3 x + 3

Step-by-step explanation:

You are supposed to find y = mx + b.

In that equation y = mx + b, b is the y intercept or the dot that passes through the y axis. The m in the equation is the slope, to find the slope you find the rise over run the simplify it as much as you can.

Answer: The answer is D. the last option

Step-by-step explanation:

The correct answer is option d) The graph is the radical function, y = √x shifted right 1 unit and up 4 units.

The original function is y = √(x - 1) + 4, which represents a radical function.

This function involves taking the square root of the quantity (x - 1) and then adding 4 to the result.

By shifting the function right 1 unit, we are replacing x with (x - 1). This means that the graph will be shifted horizontally by 1 unit to the right compared to the standard square root function.

By shifting the function up 4 units, we are adding 4 to the output of the square root function.

This means that the graph will be shifted vertically by 4 units compared to the standard square root function.

Therefore, the graph of the function y = √(x - 1) + 4 is the radical function y = √x shifted right 1 unit and up 4 units.

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Answer:49

Step-by-step explanation:

Ration is equivalent. So 21 is a multiplication of 7x3. Soto get the missing number you would also need to multiply 7x7 to keep the ratio equivalent

The number that belongs in the green box using sine rule is 13.96.

The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

To calculate the number that belongs in the green box, we use the formula below

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Solve for x

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Answer:

x=-5

Step-by-step explanation:

See the image for the steps.

Answer:

x=-5

Step-by-step explanation:

The correct equation that could be used to solve for side x is x = sin52° × (Hypotenuse)

From the question, we are to determine the correct equation that could be used to solve for side x

From the given diagram, we observe that

Side x is the Opposite

Side z is the Adjacent

Side y is the Hypotenuse

Using SOH CAH TOA, we can write that

sin (angle) = Opposite / Hypotenuse

From the diagram,

Given angle = 52°

Hypotenuse = y = 13

Thus,

sin 52° = x/13

x = sin 52° × 13

OR

x = sin52° × (Hypotenuse)

Hence, the equation is x = sin52° × (Hypotenuse)

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Answer: 3 * -4 = -12

Answer:

four less than three times a number

Step-by-step explanation: