Find an angle coterminal to 746°, where 0° < 0 < 360°

Answer:

[tex](A\cap B)\cap U[/tex]

Step-by-step explanation:

"And" indicates taking the intersection of two sets.

You want numbers that are in all three sets: multiples of 5, multiples of 2, and all 4-digit numbers.

Answer:

the ans is 21 hope it may help u

Step-by-step explanation:

g = 6

x=6

x= 3x + 3

x = 3 × 6 +3

x = 18 + 3

x= 21

Answer:

let

m = the speed of Mattie

d1 = 180 mi the distance Mattie traveled

p = the speed of the plane

d2 = 630 mi the distance the plane traveled

the speed of the plane was 150 mph faster than the speed of the car

p = m + 150

since speed = distance/time => time = distance/speed

d1/m = d2/p

180/m = 630/p cross multiply

180p = 630m divide both sides by 90

2p = 7m

by solving the system of equations

p = m + 150

2p = 7m

we find

p = 210 mph

The speed of the plane was 210 mph

Answer:

[tex]y = -\frac{1}{4}x^{2} + 5x + 3[/tex]

Answer:

a) 0.4772 = 47.72% probability that the average is between 1,142 and 1,150.

b) 0.0228 = 2.28% probability that the average is greater than 1,158.

c) 0 = 0% probability that the average is less than 950.

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.

A certain type of automobile battery is known to last an average of 1,150 days with a standard deviation of 40 days.

This means that [tex]\mu = 1150, \sigma = 40[/tex]

Sample of 100:

This means that [tex]n = 100, s = \frac{40}{\sqrt{100}} = 4[/tex]

(a) The average is between 1,142 and 1,150.

This is the pvalue of Z when X = 1150 subtracted by the pvalue of Z when X = 1142. So

X = 1150

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

By the Central Limit Theorem

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

[tex]Z = \frac{1150 - 1150}{4}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

X = 1142

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

[tex]Z = \frac{1142 - 1150}{4}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.5 - 0.0228 = 0.4772

0.4772 = 47.72% probability that the average is between 1,142 and 1,150.

(b) The average is greater than 1,158.

This is 1 subtracted by the pvalue of Z when X = 1158. So

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

[tex]Z = \frac{1158 - 1150}{4}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that the average is greater than 1,158.

(c) The average is less than 950.

This is the pvalue of Z when X = 950. So

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

[tex]Z = \frac{950 - 1150}{4}[/tex]

[tex]Z = -50[/tex]

[tex]Z = -50[/tex] has a pvalue of 0

0 = 0% probability that the average is less than 950.

9514 1404 393

Answer:

  5.3

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh . . . . where b is the base length and h is the height.

The figure gives an area and shows b=h, so we have ...

  14 ft² = 1/2(h)(h)

  28 ft² = h² . . . . . . . . . multiply by 2

  h = √28 ft ≈ 5.3 ft . . . . . take the square root

Answer:

soda = 10

burger = 5

fries = 2

5 + 2 x 10 = 25

Step-by-step explanation:

brainliest?

Answer:

x = 26/yz

Step-by-step explanation:

Answer:

-14y + 30

Step-by-step explanation:

Tell me if I am wrong but I think this is it.

Answer:

-14y+30

Step-by-step explanation:

Hope this helpss

Answer:

Step-by-step explanation:

n = nickels

d = dimes

q = quarters

1)  n + d + q = 39

n+d = q - 3

Translate to:  2)   n + d - q = -3

.05n + .1d + .25q = 6.7   amount of each coin times the number of coins must add to 6.7

Multiply both sides by 20...

3)  1n + 2d + 5q = 134

Combine 1) & 2)

n + d + q = 39

n + d  - q = -3

Add together

2n + 2d = 36

Divide by 2:

4)  n + d = 18

Combine 1) and 3)

n + d + q = 39         Multiply by -5 =>  -5n -5d -5q = -195

n + 2d + 5q = 134                              n + 2d + 5q = 134

Add together->                                 5)   -4n - 3d  = -61

Combine 4) and 5)

  n + d = 18   Multiply by 4 =>  4n + 4d = 72

-4n - 3d = 61                          -4n - 3d = -61

Add:                                               d = 11

11 dimes...

Plug that into 4)

n + 11 = 18

n = 18-11 = 7 nickels.

Plug that into 1.

n + d + q = 39

7 + 11 + q = 39

18 + q = 39

q = 39-18 = 21 quarters

21 quarters, 7 nickels, and 11 dimes.

21(.25) + 7(.05) + 11(.1) = 5.25 + .35 + 1.1 = 5.6 + 1.1 = 6.7   Check.

Answer:

the slope is undefined

Step-by-step explanation:

Since x=5, the graph is a straight vertical line when x=5. Since the line is vertical and not horizontal, the slope is undefined. If the line was horizontal then the slope would equal zero.

Where is the problem

Answer:

{16,20,24,28}

Step-by-step explanation:

___________

Answer:

b

Step-by-step explanation:

Answer:B half of the circumference

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

.75

Step-by-step explanation:

Conditonal probability formula:

A|B= (A∩B)/B

let NH= Not heart

Let F= Face

NH|F= NH∩F/F

not hearth and face is 9

face is 12

9/12=.75

Answer:

The 24 because it is suposed to cost 6.76 and it cost 5.90.

Answer:

-10, -|-8|, -(-2), |-11|, 5²

Step-by-step explanation:

Answer:

YOU POST THIS TWICE

IT'S -10, -|-8|, -(-2), |-11|, 5²

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

(11-3)^3-2x6

first evaluate 11-3-->8

then cube it-->8^3=512

then multiply 2x6-->12

then subtract the two-->512-12=500

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\huge\textsf{Just do PEMDAS}[/tex]

[tex]\huge\textsf{Parentheses}[/tex]

[tex]\huge\textsf{Exponents}[/tex]

[tex]\huge\textsf{Multiplication}[/tex]

[tex]\huge\textsf{Division}[/tex]

[tex]\huge\textsf{Addition}[/tex]

[tex]\huge\textsf{Subtraction}[/tex]

[tex]\mathsf{(11 - 8)^3 - 2\times 6}[/tex]

[tex]\mathsf{11 - 8 = \boxed{\bf 3}}[/tex]

[tex]\mathsf{3^3 - 2 \times 6}[/tex]

[tex]\mathsf{3^3 = 3\times 3\times 3 = 9\times 3 = \boxed{\bf 27}}[/tex]

[tex]\mathsf{27 - 2 \times6 }[/tex]

[tex]\mathsf{2\times 6 = \boxed{\bf 12}}[/tex]

[tex]\mathsf{27 - 12}[/tex]

[tex]\boxed{\mathsf{\bf= 15}}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 15}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

We determined that the 10th figure will have 45 shaded squares. That means 100 – 45 = 55 squares will be unshaded

Step-by-step explanation:

hope this helps

Answer:

25.12

Step-by-step explanation:

The formula of the circumference of a circle is: C = 2(pi)(r)

Plug in 3.14 for pi and 4 for the radius.

C = 2(3.14)(4)

Multiply.

C = 25.12

Answer:

Solution given.

f = 5, g = 6, h = 7

<F=?

we have;

f² = g² + h² – 2gh cos F

5²-6²-7²=-2×6×7 cos F

-60/-84=cos F

F=cos-¹(5/7)=44.41°

<F=44.4° is a required answer

Answer:

the answer is B so it's 12

Answer:

50°

Step-by-step explanation:

In an inscribed quadrilateral, the opposite angles are supplementary (angle sum = 180).

2x + 80 = 180

2x = 100

x = 50

The value of x of  O is circumscribed about quadrilateral ABCD is 50degrees

According to the circle geometry given, the sum of the opposite sides of the quadrilateral is 180 degrees.

Setting up the required equation;

2x + 80 = 180
2x = 180 - 80
2x = 100

Divide btoh sides by 2

2x/2 = 100/2

x =50

Hence the value of x of  O is circumscribed about quadrilateral ABCD is 50degrees

Learn more on circle geometry here:https://brainly.com/question/26594685

Answer:

≈ 634

Step-by-step explanation:

n = 847(1 * .07)^4

n = 847(0.93)^4

n = 633.60005247

n ≈ 634

Answer: 3526.5

Step-by-step explanation: 2500(1+0.035)^10

The given fractions are plotted on number line as given below.

A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.

The given fractions are 7/8 and [tex]2\frac{1}{4}[/tex].

To plot fractions on the number line, follow the steps given below:

Step 1: Draw a number line of a suitable length.

Step 2: If the given fraction is a proper fraction, then mark points 0 and 1 on the number line. Or, if it is an improper fraction, then first convert it into a mixed fraction, and then mark two integers between those the given fraction lies.

Step 3: Draw an equal number of parts of the numbers marked in step 2 which will be equal to the denominator of the fraction.

Step 4: Starting from the left point, count forward the number of parts shown by the numerator.

Step 5: Mark the point on the line.

Hence, the given fractions are plotted on number line as given below.

Learn more about the number line here:

https://brainly.com/question/13425491.

#SPJ2

Answer:

Infinite solutions

Step-by-step explanation:

A linear equation is given to us and we need to tell the no. of solutions. The equation is ,

=> -2-5x = - ( 5x +2)

If we look at RHS , negative sign is present outside the brackets .On opening the brackets , we have ,

=> -(5x) -(+2)

=> -5x -2

=> -2 - 5x

This is similar to LHS and hence they will represent same line . Hence they will have infinitely many solutions .