Lynn can type 1,650 words in 30 minutes.
What is her typing rate, in words per minute?

Answer:

m=17

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

m

=

17

Answer:

C) 48.3

Step-by-step explanation:

The lines are parallel, meaning that when the third line is intersecting them both, the angles formed will be exactly the same. The top angle that is to the right is 25°, meaning that he bottom angle to the left is 25°. All that is left is to find the last two angles in order to find out what the answer to the equation is. The 25° angle is next to a triangle causing the lines to be flat, or 180°.

180 - 25 = 155

That means the bottom angle to the right is 155. In order to find x, subtract 10 and divide by 3.

3x + 10 - 10 = 155 - 10

3x = 135

3x/3 = 135/3

x = 48.3

Answer:

28 Months

Step-by-step explanation:

(1140-1072)= 68

(1900/68)=27.9 ~ 28

Answer:

7

Step-by-step explanation:

+2($($;$)2:

hope it helps

Answer:

a) -150 feet per minute

b)-11,250 feet

c)240 minutes

Step-by-step explanation:

-3000/20 = -150 ft per minute

b) -150 times 75

c)-36000= -150x

Answer:

12a

3/4

34.8

a = 3.2

Step-by-step explanation:

9a + 6 = 34.8

9a = 28.8

28.8/9 = 3.2

Answer: $21.99

Step-by-step explanation:

First, we need to solve for the total cost of 4 packs of football cards

We can either do: $3.97+$3.97+$3.97+$3.97

or

$3.97 x 4

This will equal: $15.88

Now we need to add $6.11 to $15.88

$6.11+$15.88

$21.99

Answer:

45535

Step-by-step explanation:

Answer:

45415

Step-by-step explanation:

Answer:The answer is (1,-4).

Step-by-step explanation: Please mark this brainliest.

Answer:

2,800

Step-by-step explanation:

700+900+1200=2800

Answer:83.3∘

Step-by-step explanation:

The measure of angle O from the triangle MNO is 156.92°.

In trigonometry, the law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

The formula for the cosine rule is c=√(a²+b²-2ab cosC)

here, we have,

Given that,

in triangle MNO,

m = 720 cm, n = 160 cm and o=870 cm.

Now, 870=√(720²+160²-2×720×160 cosO)

870²=720²+160²-2×720×160 cosO

756900=544000-230400 cosO

212900=-230400 cosO

cosO= -212900/230400

cosO= -0.92

∠O=156.92°

Therefore, the measure of angle O from the triangle MNO is 156.92°.

Learn more about the cosine rule here:

brainly.com/question/26952873.

#SPJ7

Answer:

y=2x+4

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

Simplifying

68 = 4x + -2 + 30

Reorder the terms:

68 = -2 + 30 + 4x

Combine like terms: -2 + 30 = 28

68 = 28 + 4x

Solving

68 = 28 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

68 + -4x = 28 + 4x + -4x

Combine like terms: 4x + -4x = 0

68 + -4x = 28 + 0

68 + -4x = 28

Add '-68' to each side of the equation.

68 + -68 + -4x = 28 + -68

Combine like terms: 68 + -68 = 0

0 + -4x = 28 + -68

-4x = 28 + -68

Combine like terms: 28 + -68 = -40

-4x = -40

Divide each side by '-4'.

x = 10

Simplifying

x = 10

Answer:

x = 10, y = 112

Step-by-step explanation:

4x - 2 + 30 and 68 are vertical angles and are congruent , then

4x - 2 + 30 = 68

4x + 28 = 68 ( subtract 28 from both sides )

4x = 40 ( divide both sides by 4 )

x = 10

------------------------

y and 68 lie on a straight line and sum to 180° , then

y + 68 = 180 ( subtract 68 from both sides )

y = 112

Answer:

The missing side is 14.4

x=14.4

Answer:

Step-by-step explanation:

Answer:

Hypotenuse= 97

Step-by-step explanation:

H² = B² + P²

H² = (65)² + (72)²

H² = 4225 + 5184

H²= 9409

Taking square root on both sides,

H= 97

Answer:

To maximize his earnings, Mr. Trenga must purchase 40 kayaks and 25 canoes.

Step-by-step explanation:

Since Mr. Trenga plans to start a new business called Rivers Explorers, which will rent canoes & kayaks to people to travel 10 miles down the Clarion River in Cook Forest State Park, and he has $ 45,000 to purchase new boats (canoes & kayaks) , and he can buy canoes for $ 600 each & kayaks for $ 750 each, and his facility can hold up to 65 boats, if the canoes will rent for $ 25 per day & the kayaks will rent for $ 30 per day, to determine how many canoes & how many kayaks should he buy to earn the most revenue, the following calculation should be performed:

65 x 750 = 48,750

48,750 - 45,000 = 3,750

750 - 600 = 150

3,750 / 150 = 25

25 x 600 + 40 x 750 = 45,000

25 x 25 + 30 x 40 = 1,825

600 x 5 = 3,000

750 x 4 = 3,000

40 x 30 + 25 x 25 = 1,825

60 x 30 + 0 x 25 = 1,800

56 x 30 + 5 x 25 = 1,805

52 x 30 + 10 x 25 = 1,810

48 x 30 + 15 x 25 = 1,815

44 x 30 + 20 x 25 = 1,820

Thus, to maximize his earnings, Mr. Trenga must purchase 40 kayaks and 25 canoes.

Answer:

I dont see any options....

But 1/4, 1/5, 1/6, 1/7, 2/7, etc

Step-by-step explanation:

Answer:

a lot but here are a few

Step-by-step explanation:

1/3 3/6 2/6 1/6 7/12 6/12 5/12 4/12 3/12 2/12 1/12 16/24 15/24 14/24 13/24 12/24 11/24 10/24 9/24 8/24 7/24 6/24 5/24 4/24 3/24 2/24 and 1/24

Answer:

x = 44

Step-by-step explanation:

x + x + 14 + 2x - 10 = 180

4x + 4 = 180

4x = 180 - 4

4x = 176

x = 176 / 4

x = 44

Hope that helps!

Answer:

5040 permutations

Step-by-step explanation:

Answer:

= 869,516 sq feet

i think will you mark me brainlest

=))

Step-by-step explanation:

Answer:

if x=4, the answer is -2.

Step-by-step explanation:

4x3-(3+4)2

12-7x2

12-14

= -2

i hope this helps :)

Answer:

a. 0.1038 = 10.38% probability that the sample mean is more than 59 pounds.

b. 0.6772 = 67.72% probability that the sample mean is more than 56 pounds.

c. 0.2210 = 22.10% probability that the sample mean is between 56 and 57 pounds.

d. 0.0146 = 1.46% probability that the sample mean is less than 53 pounds.

e. 0% probability that the sample mean is less than 49 pounds.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

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

In a set 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]

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. The population standard deviation of annual usage is 12.3 pounds.

This means that [tex]\mu = 56.8, \sigma = 12.3[/tex]

Sample of 50:

This means that [tex]n = 50, s = \frac{12.3}{\sqrt{50}} = 1.74[/tex]

a. More than 59 pounds

This is 1 subtracted by the pvalue of Z when X = 59.

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

By the Central Limit Theorem

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

[tex]Z = \frac{59 - 56.8}{1.74}[/tex]

[tex]Z = 1.26[/tex]

[tex]Z = 1.26[/tex] has a pvalue of 0.8962

1 - 0.8962 = 0.1038

0.1038 = 10.38% probability that the sample mean is more than 59 pounds.

b. More than 56 pounds

This is 1 subtracted by the pvalue of Z when X = 56. So

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

[tex]Z = \frac{56 - 56.8}{1.74}[/tex]

[tex]Z = -0.46[/tex]

[tex]Z = -0.46[/tex] has a pvalue of 0.3228

1 - 0.3228 = 0.6772

0.6772 = 67.72% probability that the sample mean is more than 56 pounds.

c. Between 56 and 57 pounds

This is the pvalue of Z when X = 57 subtracted by the pvalue of Z when X = 56.

X = 57

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

[tex]Z = \frac{57 - 56.8}{1.74}[/tex]

[tex]Z = 0.11[/tex]

[tex]Z = 0.11[/tex] has a pvalue of 0.5438

X = 56

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

[tex]Z = \frac{56 - 56.8}{1.74}[/tex]

[tex]Z = -0.46[/tex]

[tex]Z = -0.46[/tex] has a pvalue of 0.3228

0.5438 - 0.3228 = 0.2210

0.2210 = 22.10% probability that the sample mean is between 56 and 57 pounds.

d. Less than 53 pounds

This is the pvalue of Z when X = 53.

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

[tex]Z = \frac{53 - 56.8}{1.74}[/tex]

[tex]Z = -2.18[/tex]

[tex]Z = -2.18[/tex] has a pvalue of 0.0146

0.0146 = 1.46% probability that the sample mean is less than 53 pounds.

e. Less than 49 pounds

This is the pvalue of Z when X = 49.

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

[tex]Z = \frac{49 - 56.8}{1.74}[/tex]

[tex]Z = -4.48[/tex]

[tex]Z = -4.48[/tex] has a pvalue of 0

0% probability that the sample mean is less than 49 pounds.

Answer:

$5740

Step-by-step explanation:

get 2.5% of 5600

5600/x=100/2.5

(5600/x)*x=(100/2.5)*x

5600=40*x

5600/40=x

140=x

x=140 <----- 2.5% of 5600

5600 + 140 = $5740

Answer:

Step-by-step explanation:

[tex]\text{Show that a differentiable function f decreases most rapidly at x in the }[/tex]

[tex]\text{direction opposite the gradient vector, that is, in the direction of}[/tex] [tex]-\bigtriangledown f(x)[/tex][tex]\text{. Let}\ \theta \ \text{be the angle between} \bigtriangledown f(x) \ \text{and unit vector u. Then } D_u f = \mathbf{|\bigtriangledown f| \ cos \ \theta }}[/tex]

[tex]\text{Since the minimum value of} \ \ \mathbf{cos \ \theta} \ \ is \mathbf{-1} \ \text{occuring \ for \ 0} \le \ \theta \ < 2x, \\ \\ when \ \theta = \mathbf{\pi} , \text{the mnimum value of} \ D_uf \ is} -|\bigtriangledown f|, \text{occuring when the direction of u is } \\ \\ \ \mathbf{the \ opposite \ of} \ \text{the direction of } \ \bigtriangledown f (assuming \ \bigtriangledown f\ is \ not \ zero)[/tex]

b) [tex]\text{From part A:}[/tex]

[tex]If \ f(x,y) = x^4y -x^2y^2 \ \ decreases \ fastest \ at \ the \point \ (2,-5)\\ \\ F(x,y) = x^4y -x^2y^3 \\ \\ f_x = \dfrac{df}{dx}= \dfrac{d}{dx}(x^4y-x^2y^3) \\ \\ f_x = \dfrac{df}{dx}= y4x^3 -2y^3x \\ \\ For(2,-5) \\ \\ f_x = (-5)4(2)^3 -2(-5)^3(2) \\ \\ \mathbf{ f_x = 340}[/tex]

[tex]However; f_y = \dfrac{df}{dy} = \dfrac{d}{dy}(x^4y - x^2y^3) \\ \\ f_y = x^4 -3x^2y^2 \\ \\ Now, for (2, -5)\\ \\f_y = (2)^4 -3(2)^2(-5)^2 \\ \\ f_y = -284[/tex]

[tex]So; \bigtriangledown = < 340,-284> \text{this is the direction of fastest decrease}[/tex]

Answer:

28

Step-by-step explanation:

Answer:

The student got 28 questions correct and 7 wrong.

Answer:

1. Many possible solutions, two solutions would be: (-1,0) and (1,0)

2. x  =  −

2

±  i

Step-by-step explanation:

For the first equation, since its linear, there are many possible solutions!

two solutions would be: (-1,0) and (1,0)

For the second one, replace y with 0 and solve

x  =  −2 ±  i

Hope i helped, brainliest would be appreciated

Have a nice day!

  -Aadi x