Solve by factorising.
x² - 7x+10=0

Answer:

Step-by-step explanation:

You have dimensions of the original and scaled figures.

The missing dimension can be found using proportions as below

Answer:

One Kilogram

Step-by-step explanation:

1kg = 1000g

Answer:

Kilogram

Step-by-step explanation:

Using the normal distribution and the central limit theorem, it is found that the probability that the mean plant height is less than 9.5 cm is of 0.9388.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 9.31, \sigma = 0.55[/tex].

For samples of n = 20, the standard error is given by:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]s = \frac{0.55}{\sqrt{20}}[/tex]

s = 0.123.

The probability that the mean plant height is less than 9.5 cm is the p-value of Z when X = 9.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{9.5 - 9.31}{0.123}[/tex]

Z = 1.54.

Z = 1.54 has a p-value of 0.9388.

Hence the probability that the mean plant height is less than 9.5 cm is of 0.9388.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Answer:

Class 1.

Step-by-step explanation:

Class 1 has the greater interquartile range.

Answer:

Class #2

Step-by-step explanation:

IQR of Class #1:

85 - 72 = 13

IQR of Class #2:

90 - 70 = 20

Class #2 has a greater IQR!

Hope this helps!

Answer:

59

Step-by-step explanation:

1534/26=59

It's 59 because I used a calculator

Answer:

The radius is 5.25

Step-by-step explanation:

The radius is always exactly 1/2 of the diameter!

Hope this helps! <3

Answer: b = 4f

Step-by-step explanation:

     Since every flashlight needs 4 batteries, every flashlight added (f) will be 4 more batteries needed total (b). With this information in mind, we can write the equation:

             b = 4f

Answer:

b = 4f

Step-by-step explanation:

4 batteries per flashlight

(7-2)² - 5/5

Do the math in the parentheses first.

7 - 2 = 5

Now the equation should read

(5)² - 5/5     or just       5² - 5/5

Do the exponent(s).

5² = 25

25 - 5/5

Do the division.

5/5 = 1

25 - 1 = 24

Therefore, according to our equation, the answer is 24.

I hope this answered your question.

Step-by-step explanation:

Each square has a side length of 1/4 inch but you have said each square=1/4

Once you have found the amount of 1/4 inches you multiply the two numbers together, only then do you multiply it to $11 for the square area.

Area:-

Cost:-

Answer:

the difference is 0

Step-by-step explanation:

[tex]\large \text Mean =\frac{3+8+10+15}{4} = 9[/tex]

[tex]\large \text{Median} =\frac{8+10}{2} =9[/tex]

the difference = 9 - 9 = 0

[tex]\large{\mathcal{QUESTION:}}[/tex]

if p(x) = -2x²-3x+1, find p( -2)

[tex]\large{\mathcal{ANSWER:}}[/tex]

the answer is on the photo

Answer:

See below

Step-by-step explanation:

x =  silk  yards

y =  cotton yards

y = 4.25 - x    sub this in to the second equation

 16.90 x  + 4 ( 4.25 - x ) = 36.35

    x =  1.50   yards of silk

    y = 4.25 - 1.50 = 2.75 yards of cotton

Answer:4(3x+4y)

Step-by-step explanation: the gcf of 12x+16y is 4. we factor out 4 by dividing both terms by 4.

Answer:

[tex]4(3x+4y)[/tex]

Step-by-step explanation:

Hey there!

This would be the correct answer because the GCF of 12 and 16 is 4.

Now that we know that it is 4 we can divide the eqiasion by 4 and  then you get

[tex]4(3x+4y)[/tex]

If you need to ckeck if this answer is corret then you will need to use the distributive property to distribute 4 to 3y and 4y.

The equasion would then look like this

[tex](4(3x)) (4(4y))[/tex]

Next you would need to solve the equasion to get the origional equasion

[tex]12x+16y[/tex]

Answer:

3.

Step-by-step explanation:

Hey there!

This scenario shows that Victoria ate 6/7 of a pizza and ate 1/4 of that pizza the same day for dinner showing that she at one fourth of the six-sevenths pieces

Answer:

It is the third one.

Step-by-step explanation:

Let's take a look at each story. We need to find out which story is [tex]\frac{6}{7}[/tex]×[tex]\frac{1}{4}[/tex].

1. Victoria drinks six-sevenths of a cup of milk. She drinks one-fourth of a cup more of milk. How much milk did she drink in all?

This story is adding the fractions together since it wants to know how much did she drink in ALL. So this is not it.

(Here are some keywords to tell you if you need to add, altogether, all, in all, together, total, total number, add, increase, increased by, more than.)

2. Mike walked one-fourth mile and then he took the bus for six-sevenths mile to school. How many miles did he travel in total?

Once again this story is adding. It uses the word total. So this is not it.

3.Victoria has six-sevenths of a pizza. She ate one-fourth of it for dinner. How much pizza did Victoria eat for dinner?

This is correct since it wants to know how much she ate for dinner. She ate [tex]\frac{1}{4}[/tex] of [tex]\frac{6}{7}[/tex] of the pizza.

4.Mike has six-sevenths of a pie. He gives one-fourth to his brother. How much pie does he have left

This story is subtracting. So it is not it. (Subtracting words, minus, greater than, take away, fewer than, less than, subtract, decreased by.)

Let x be the number of counters in the bag.

Pr(red counter) is drawn first = 7/x

Pr(blue counter) is drawn first = (x-7)/x

Pr(counters will be same) = 8/15

with replacement:

P^req= 7/7+x × x/7+x= 7/15

so, the total number of counters in the bag before any counters are taken from the bag are 7/15.

b=-3

The equation, -11b + 7 = 40, can be solved using the properties of equality.

Solving For b

First, subtract 7 from both sides

Then, divide both sides by -11

Checking the Answer

We can check our answer by plugging the answer back into the original equation.

First, rewrite the equation with the answer

Next, multiply out the terms

Then, add together like terms

Because this is a true statement, the answer must be correct.

Correlation measures the relationship between variables

The true statements are:

For a correlation coefficient to be valid, the following, must be true:

Using the above highlights, the true statements are: (b) (c) and (e)

Read more about correlation coefficients at:

https://brainly.com/question/18054482

Answer:

3000m

Step-by-step explanation:

First, note that km is the same as kilometers and m is the same as meters. Thus, when you are asking to convert 3 km to m, you are asking to convert 3 kilometers to meters.

A kilometer is larger than a meter. Simply put, km is larger than m. In fact, a kilometer is "10 to the power of 3" larger than a meter.

Since a kilometer is 10^3 larger than a meter, it means that the conversion factor for km to m is 10^3. Therefore, you can multiply 3 km by 10^3 to get 3 km converted to m.

Here is the answer with the math showing you how to convert 3 km to m by multiplying 3 by the conversion factor of 10^3.

3 x 10^3

= 3000

3 km

= 3000 m

Answer:

3000 m

Step-by-step explanation:

Unit conversion :

Solving :

The Surface area of the figure is 520 square centimeters

The figure is made up of rectangular prisms

The formula for calculating the surface area of rectangular prism is expressed as:

SA = 2(lw + wh + lh)

Surface area of the figure = 2(2(8) + 2(14) + 8(14)) +  2(6(8) + 6(4) + 8(4))

Surface area of the figure = 2(16+28+112) + 2(48 + 24+32)

Surface area of the figure = 312 + 208

Surface area of the figure = 520 square centimeters

Hence the Surface area of the figure is 520 square centimeters

Learn more on surface area of composite figure here: https://brainly.com/question/26736468

The height of the baseball is 6 feet at the moment the player begins to leap. Then the correct option is D.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The first equation in the system models the height in feet, h, of a falling baseball as a function of time, t. the second equation models the height in feet, h, of the glove of a player leaping up to catch the ball as a function of time, t.

h(t) = 35 - 16t²

h(t) = 6 + 18t + 16t²

At t = 0, Then we have

h(0) = 35 - 16(0)²

h(0) = 35

And

h(0) = 6 + 18(0) + 16(0)²

h(0) = 6

The height of the baseball is 6 feet at the moment the player begins to leap.

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

option 2 or B

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: - 10 + 5(78 + 8) < - 4s + 3 - 8[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 10 + 5(86) < - 4s - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 10 +430 < - 4s - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: 420 + 5 < - 4s [/tex]

[tex]\qquad \sf  \dashrightarrow \: 42 5 < - 4s [/tex]

[tex]\qquad \sf  \dashrightarrow \: 42 5 \div 4 < - s [/tex]

[tex]\qquad \sf  \dashrightarrow \: 106.25 < - s [/tex]

Inequalities change when it is multiplied by -ve number

[tex]\qquad \sf  \dashrightarrow \: - 106.25 > s [/tex]

Answer:

This is an exponential function equation.

Therefore,

The 2 represents: Original amount (Y-intercept)

The 3 represents: Growth factor or (1+r)

the volume of the pot.

bolume of a triangular prism= BH

area of a triangle= 1 / 2 × base × height

B = 1 / 2 × b × h

b = 3 units

h = 5 units

B = 1 / 2  × 3 × 5

B = 15 / 2

B = 7.5 units²

H = 26 units

 B = 7.5 units²

V = 7.5 × 26

V= 195 unit³

so, the volume of the pot is 195 unit³.

Answer: 56 yd

Step-by-step explanation: if you continue the 8 yd line across, it would show that the missing side is 4yd less than the 13 yd side, meaning the missing side is 9 yd long. So after adding 7 + 13+ 15+ 4 + 8 + 9= 56 yd

We will see that the first odd number is 13 and the second odd number is 15, the product is:

P = 13*15 = 195

Let's say that the first number is x, the next odd number will be x + 2.

The sum of these two odd numbers must be 2, then we need to solve the linear equation:

x + (x + 2) = 28

We can solve that for x:

2x + 2 = 28

2x = 28 - 2 = 26

x = 26/2 = 13

Then the first number is x = 13 and the second number is  x + 2 = 13 + 2 = 15.

The product of these two numbers is:

13*15 = 195

IF you want to learn more about linear equations:

https://brainly.com/question/1884491

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Answer:

Symbol. ^ or (English symbol name wedge) (mathematics, logic) The conjunction operator, forming a Boolean-valued function, typically with two arguments, returning true only if all of its arguments are true. (mathematics) wedge product

Answer;

It is the symbol used in computer language to denote the square or cube or other power of any number . for example; 2^2, it means the square of 2.

Answer:

47,200,000,000

Step-by-step explanation:

[tex]4.72*10^{10}[/tex]  is in scientific form (notation).

To change this to standard form, we must move the decimal over the amount in the exponent. In this case, that is 10.

Answer:

Step-by-step explanation:

Answer:

compute the company's price-to-earnings (P/E) ratio.

Step-by-step explanation:

When companies issue additional shares, it increases the number of common stock being traded in the stock market. For existing investors,