Bella is learning to type. She typed a letter to her teacher but misspelled 8 words. If she misspelled 25% of the words she typed. how many words did she type in her letter I'm taking a test I need this ASAP​

Answer: 9 acres.

Step-by-step explanation:

9 times 9 in 81 easy math. hope this helps :)

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$8.75\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &\frac{1}{4} \end{cases} \\\\\\ 8.75 = (1000)(\frac{r}{100})(\frac{1}{4})\implies 8.75=\cfrac{10r}{4} \\\\\\ 8.75=\cfrac{5r}{2}\implies 17.5=5r\implies \cfrac{17.5}{5}=r\implies \stackrel{\%}{3.5}=r\)

Answer:

The Z-score (also known as a standard score) represents the number of standard deviations a value is away from the mean of a distribution. The formula for the Z-score is:

Z = (X - μ) / σ

Where X is the value of interest, μ is the mean of the distribution, and σ is the standard deviation of the distribution.

Given the information in the problem, we know that the mean of the fruit fly's lifespan is 32 days and the standard deviation is 5 days.

To find the Z-score of a fruit fly whose lifespan is 37 days:

Z = (37 - 32) / 5 = 1

To find the Z-score of a fruit fly whose lifespan is 30 days:

Z = (30 - 32) / 5 = -0.4

To find the Z-score of a fruit fly whose lifespan is 47 days:

Z = (47 - 32) / 5 = 2.4

Therefore, a fruit fly whose lifespan is 37 days has a Z-score of 1, a fruit fly whose lifespan is 30 days has a Z-score of -0.4, and a fruit fly whose lifespan is 47 days has a Z-score of 2.4.

Answer:

790

Step-by-step explanation:

7098uuilu4645

Answer:

It's in the attached file :)

Step-by-step explanation:

Answer:

The value of 4 in 400 is 10 times the value of 4 in 40.

Step-by-step explanation:

Given :  40 and 400.

To find : compare the values of the underlined digits .

Solution : We have given  40 and 400.

In 400

4 is place at hundred place

The value of 4 in 400 is 4 hundred.

In 40

4 is place at tens place

The value of 4 in 40 is 4 tens.

ON comparing

The value of 4 in 400 is 10 times the value of 4 in 40.

Therefore, The value of 4 in 400 is 10 times the value of 4 in 40.

*copied from Brainly User PiaDeveau*

A fraction of the students who have brown hair is equal to 1/7.

You should shade only one (1) section on the pie chart to show the number of students with brown hair.

In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.

Based on the information provided in the table (see attachment), we can logically deduce the following parameters about the various hair color;

Number of brown hair = 1 brown hair.

Number of blonde hair = 4 blonde hair.

Number of black hair = 2 black hair.

Therefore, the total number of hairs is equal to 7 hairs.

For the fraction of students with brown hair, we have;

Fraction = 1/7.

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x = Numero total de coches

xr = Carros rojos

Expresa el porcentaje en forma decimal:

30% = 30/100 = 0.3

Resuelve para x:

Hay un total de 40 coches en el estacionamiento

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De acuerdo al enunciado podemos concluir:

Answer:

16/24

Step-by-step explanation:

9/12–> simplify to 3/4

3/4=15/20

24/32=3/4

6/8=3/4

16/24 is not equal

Answer:

16/24 isn't equivalent to 9/12

Step-by-step explanation:

9/12 = 0.75

Let's see what all the fractions equal to first.

15/20 = 0.75

24/32 = 0.75

6/8 = 0.75

16/24 = 0.667

As you can see, the fraction 16/24 doesn't equal 0.75.

Answer:

x = 52°

Step-by-step explanation:

I have attached an image to depict the given angles.

From the attached image, we can see that the unknown angle is x°.

Thus, since that corner is 90°, then;

x + 38 = 90

Subtract 38 from both sides to get;

x = 90 - 38

x = 52°

No, I don't agree with Sundeep. The mixture wont simply add up

When two liquids are mixed together, their volumes don't simply add up to equal the total volume of the mixture.

When sugar is mixed with water, the total volume of the mixture is usually slightly greater than the volume of the water alone, because the sugar particles take up space between the water molecules.

The volume of the mixture will be equal to the sum of the individual volumes only if the two liquids are completely immiscible, meaning they don't mix together at all. In this case, the total volume of the mixture will be equal to the sum of the volumes of water and sugar, which is 400 mL.

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Answer:

Least to greatest

Step-by-step explanation:

912.202

912.21

913.601

913.61

Add zero's next time, (to 912.21  and 913.61 . It could help.)

Answer of a is €3.8

Answer of b is €8

Solution :

To get the answer add two decimal number

ie.  the sum of first question is €1.76 + €2.04 = €3.8

the sum of second question is €5.62 + €2.38 = €8

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Micah increased his practice time by 40 minutes.

The percent increase of Micah's practice time​ is equal to 80%.

In Mathematics, percentage increase can be calculated by using the following mathematical equation (formula):

Percentage increase = [Final value - Initial value]/Initial value × 100

Substituting the given parameters into the percentage increase formula, we have the following;

Percentage increase of practice time = [90 - 50]/50 × 100

Percentage increase of practice time = 40/50 × 100

Percentage increase of practice time = 0.8 × 100

Percentage increase of practice time = 80%.

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The outcomes that compose this event are the 13 cards in the deck that are clubs.

We have,

The event in this case is drawing a club from the deck.

In probability theory, an event refers to a subset of the sample space, which includes all possible outcomes of an experiment.

In this case,

Kristy's experiment is drawing a card randomly from a standard deck of 52 cards, and the sample space consists of all 52 cards.

Since Kristy is interested in knowing the probability of drawing a club card, the event in this case will be the subset of the sample space consisting of all the club cards.

There are 13 club cards in a standard deck, namely, ace of clubs, 2 through 10 of clubs, jack of clubs, queen of clubs, and king of clubs.

The event will consist of these 13 cards.

Thus,

The outcomes that compose this event are the 13 cards in the deck that are clubs.

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Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.

\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)

Value of x = 20°

Hey! there . Thanks for your question :)

Answer:

Step-by-step explanation:

In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.

Solution :-

For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :

Step 1: Making equation :

\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)

Solving :

\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)

Step 2: Subtracting 10 on both sides :

\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)

We get ,

\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)

Step 3: Dividing both sides by 5 :

\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)

On cancelling , we get :

\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)

Verification :-

For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :

Therefore , our answer is correct .

Trawler B should take a course that is 18 degrees east of north.

In order to intercept Trawler A, Trawler B must travel in a direction that will bring it closer to Trawler A. Since Trawler A is traveling due west, Trawler B must travel in a direction that is east of north. The angle that is 18 degrees east of north will bring Trawler B closest to Trawler A.

Here are the steps to find the course that Trawler B should take:

Draw a diagram of the situation.

Label the two trawlers A and B.

Draw a line representing the direction that Trawler A is traveling.

Draw a line representing the direction that Trawler B should travel.

Measure the angle between the two lines.

The angle between the two lines will be 18 degrees. Therefore, Trawler B should take a course that is 18 degrees east of north.

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The measure of the angle m∠ZYX of the trapezoid is equal to 139°

A trapezoid is a quadrilateral with two parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The adjacent angles of the trapezium are supplementary, so their sum is equal to 180°.

3x + 19 + x + 1 = 180°

4x + 20 = 180°

4x = 180 - 20 {collect like terms}

4x = 160

x = 160/4 {divide through by 4}

x = 40

m∠ZYX = 3(40) + 19 = 139°.

WXYZ is a trapezoid. Equation used to solve for x is (3x + 19) + (x + 1) = 180° because the angles m∠XYZ and m∠WXY are adjacent angles.

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Answer:

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Distribution of the difference in height between men and woman:

Applying the concept above:

\(\mu = 69.3 - 64 = 5.3\)

\(\sigma = \sqrt{2.7^2 + 2.8^2} = 3.89\)

What is the probability that the young man is taller than the young woman by more than 5 inches?

Probability of the difference being more than 5 inches, that is, 1 subtracted by the pvalue of Z when X = 5.

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{5 - 5.3}{3.89}\)

\(Z = -0.08\)

\(Z = -0.08\) has a pvalue of 0.4681

1 - 0.4681 = 0.5319

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches

For the given expression the value of \((f^{-1})'(3)\) ≈ 0.052.

What is expression?

In mathematics, an expression is a combination of numbers, variables, operators, and symbols that represents a mathematical quantity or relationship.

To find the derivative of the inverse function, we use the formula:

\((f^{-1})'(x) = 1 / f'(f^{-1}(x))\)

First, we need to find the inverse function \(f^{-1(x)\). To do that, we can solve for x in terms of f(x):

\(f(x) = (1/4)x^3 + x - 1\\y = (1/4)x^3 + x - 1\\x^3 + 4x - 4 = 4y\\x^3 + 4x - 4 = 4f^{-1}(x)\\f^{-1}(x) = (x^3 + 4x - 4) / 4\)

Now, we can find the derivative of the inverse function:

\((f^{-1})'(x) = 1 / f'(f^{-1}(x))\\(f^{-1})'(3) = 1 / f'(f^{-1}(3))\)

To find \(f^{-1}(3)\), we plug in x = 3 into the expression for \(f^{-1}(x)\):

\(f^{-1}(3) = (3^3 + 4(3) - 4) / 4 = 8.75\)

To find \(f'(f^{-1}(3))\), we plug in \(f^{-1}(3) = 8.75\) into the expression for f'(x):

\(f'(8.75) = (3/4)(8.75)^2 + 1 = 19.2031\)

Now we can find the derivative of the inverse function at x = 3:

\((f^{-1})'(3) = 1 / f'(f^{-1}(3))\\(f^{-1})'(3) = 1 / f'(8.75)\\(f^{-1})'(3) = 1 / 19.2031\)

\((f^{-1})'(3)\) ≈ 0.052

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The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:

r = 1.5 mm / 2 = 0.75 mm

Now, we can substitute the value of the radius into the volume formula:

V = (4/3) * π * (0.75 mm)^3

Using the value of π ≈ 3.14 and performing the calculations:

V ≈ (4/3) * 3.14 * (0.75 mm)^3

V ≈ (4/3) * 3.14 * 0.421875 mm^3

V ≈ 1.767 mm^3 (rounded to the nearest tenth)

the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

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Answer:

322.24 meters

Step-by-step explanation:

The scale is 4 meter per centimeter. Multiply 5.3 by 4 to get 21.2 meters. Multiply 5.3 by 4 to get 15.2 meters. Multiply 21.2 by 15.2 to get 322.24

a) The inequality for the expression 2z + 9 is 2z + 9 > 13.

b) The inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The inequality for the expression 4 + 2z is 4 + 2z > 8.

d) The inequality for the expression 5(3z - 2) is 15z - 10 > 20.

a) To write an inequality for the expression 2z + 9, we can multiply the given inequality z > 2 by 2 and then add 9 to both sides of the inequality:

2z > 2 * 2

2z > 4

Adding 9 to both sides:

2z + 9 > 4 + 9

2z + 9 > 13

Therefore, the inequality for the expression 2z + 9 is 2z + 9 > 13.

b) For the expression 3(z - 4), we can distribute the 3 inside the parentheses:

3z - 3 * 4

3z - 12

Since we are given that z > 2, we can substitute z > 2 into the expression:

3z - 12 > 3 * 2 - 12

3z - 12 > 6 - 12

3z - 12 > -6

Therefore, the inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The expression 4 + 2z does not change with the given inequality z > 2. We can simply rewrite the expression:

4 + 2z > 4 + 2 * 2

4 + 2z > 4 + 4

4 + 2z > 8

Therefore, the inequality for the expression 4 + 2z is 4 + 2z > 8.

d) Similar to the previous expressions, we can distribute the 5 in the expression 5(3z - 2):

5 * 3z - 5 * 2

15z - 10

Considering the given inequality z > 2, we can substitute z > 2 into the expression:

15z - 10 > 15 * 2 - 10

15z - 10 > 30 - 10

15z - 10 > 20

Therefore, the inequality for the expression 5(3z - 2) is 15z - 10 > 20.

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The domain of the function is  (-∞, -2) ∪(-2, ∞) and it's range is (-∞, 1) ∪ (1, ∞). The function has vertical and horizontal asymptotes as x = -2 and y = 1

In mathematics, the domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined. The range of a function is the set of all possible output values (also known as the dependent variable) that the function can produce.

To determine the domain and range of a function, it's important to consider the nature of the function, its graph or formula, and any restrictions that may apply.

The function f(x) = - (2/ x + 2) + 1

The domain of the function is (-∞, -2) ∪(-2, ∞)

The range of the function is (-∞, 1) ∪ (1, ∞)

The vertical asymptote is x = -2

The horizontal asymptotes y =  1

The y-intercept is (0, 0)

The x - intercept is (0, 0)

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Answer:

she spent $137.41

Step-by-step explanation:

175 - 37.59 = $137.41

Answer:

8 and 9

Step-by-step explanation:

Answer:

Think!

72 + 82 = 49 + 64 = 113

82 + 92 = 64 + 81 = 145

Step-by-step explanation:

Found the answer by simple experimentation.

hope this helps

The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:

Step 1: Divide the coefficient of x by 2 and square the result.

  (Coefficient of x) / 2 = -28/2 = -14

  (-14)² = 196

Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.

  g(x) = 4x² - 28x + 49

  = 4x² - 28x + 196 - 196 + 49

Step 3: Rearrange the terms and factor the perfect square trinomial.

  g(x) = (4x² - 28x + 196) - 196 + 49

  = 4(x² - 7x + 49) - 147

  = 4(x² - 7x + 49) - 147

Step 4: Write the perfect square trinomial as the square of a binomial.

  g(x) = 4(x - 7/2)² - 147

Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

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The probable question may be:

Rewrite the function by completing the square.

g(x)=4x²-28x +49

g(x)= ____  (x+___ )²+____.

9514 1404 393

Answer:

  56, 60, 64

Step-by-step explanation:

The middle of the three numbers is their average: 180/3 = 60. The other two will be 4 more or less than this.

The numbers of interest are 56, 60, 64.

_____

Additional comment

For "consecutive integer" problems, it is often useful to work with the average of the numbers. The average will be the middle number of an odd number of numbers (as here), or will be halfway between the two middle numbers if their number is even.

Even if you bother to write equations, it can work to do that in terms of the average value (middle number): (x -4) +(x) +(x +4) = 180 in this case.

Answer:

B)7+n

Step-by-step explanation:

Answer:

A but see below.

Step-by-step explanation:

A is likely the best answer, although B is also correct. However you should write things in the other they are given.

n + 7 is the very best way to answer.

7 + n is not wrong but maybe not wanted.

The term "angle of elevation" refers to the angle formed by the lighthouse's line of sight and a horizontal plane. Points A and B are separated by 2683.7 feet.

From the image, we have:

\(& \angle A=10^{\circ} \\\)

\(& \angle B=3^{\circ} \\\)

AO = 1135

distance from the lighthouse.

First, we calculate the height of the lighthouse (TO).

This is calculated using the following tangent ratio

\($\tan (A)=\frac{T O}{A O}$\)

So, we have:

\($\tan (10)=\frac{T O}{1135}\)

Solve for TO

TO = 1135 × tan (10)

TO = 200.13

Secondly, we determine how far point B is from the lighthouse (BO)

Using the following tangent ratio, this is computed.

\($\tan (B)=\frac{T O}{B O}\)

So, we have:

\($\tan (3)=\frac{200.13}{B O}\)

Solve for BO

\($B O=\frac{200.13}{\tan (3)} \\\)

BO = 3818.71

Distance AB is calculated by subtracting AO from BO.

AB = BO - AO

AB = 3818.71 - 1135

AB = 2683.71

AB = 2683.7  {---- approximated }

Hence, the distance between points A and B is 2683.7 feet

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