The average Math SAT score of 36 randomly selected students in a certain state is 525.6 and the standard deviation is 69.5. Does this result provide significant evidence that the overall average Math SAT score in that state differs from the national average of 514 points? Use an appropriate p-value to draw and explain your conclusion

Answer: 13!

Step-by-step explanation : 0.20 x 65

Answer:

reflection and translation

Answer:

D

answer id D: F and C

Step-by-step explanation:

when we reflect across the x axis, x stays the same and y changes sign

Answer:

Acute

Step-by-step explanation:

Because angles which are less than 90 degrees are called acute angles

Since it is less than 90 degrees the right answer is acute

Answer: 3.93701

Step-by-step explanation:

Answer:

10 cm to inches is 3 15/16 inches, or in decimal, is 3.9370 inches

Step-by-step explanation:

Answer:

is this 190/3?
if so ur answer is 60.3333333

if it's \(\sqrt[3]{190}\)?
then ur answer is 5.74889707894

Step-by-step explanation:

Answer:

The answer is {-8, -2, 3, 4, 8}

Domain is basically the x,

while range OR image is the y,

while codomain is y values that do not have ties to any x value

Answer:

E. Leela Chitnis

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

Find out how much he earns an hour.

7 hours = 145.60

1 hour = 145.60 ÷ 7 = 20.80

83.20 ÷ 20.80 = 4 hours (Find out how much hours Jose has to work to earn 83.20)

Answer: 126

Step-by-step explanation:

The interval of convergence for the given power series is (2, 8).

To find the interval of convergence for the given power series. We have the power series:

∑(n=2 to ∞) ((x-5)ⁿ)/(3ⁿ)

To find the interval of convergence, we'll use the Ratio Test. For the Ratio Test, we need to compute the limit:

L = lim (n → ∞) |(a_(n+1)/a_n)|

For our series, a_n = ((x-5)ⁿ)/(3ⁿ). Therefore, a_(n+1) = ((x-5)(n+1))/(3(n+1)). Now, let's compute the ratio:

|(a_(n+1)/a_n)| = |(((x-5)(n+1))/(3(n+1))) / (((x-5)ⁿ)/(3ⁿ))|

Simplify the expression:

|(a_(n+1)/a_n)| = |(x-5)/3|

The series converges if L < 1. So we have:

|(x-5)/3| < 1

Now, we'll solve for x to find the interval of convergence:

-1 < (x-5)/3 < 1

Multiply each term by 3:

-3 < x-5 < 3

Add 5 to each term:

2 < x < 8

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The reference triangles always have a leg perpendicular to the hypotenuse.

In a right triangle, the reference triangle is formed by dropping a perpendicular from one of the acute angles to the hypotenuse. This perpendicular leg, also known as the altitude, divides the hypotenuse into two segments. The reference triangle is created to establish a relationship between the angles and sides of the original right triangle. By considering the ratios of the sides in the reference triangle, we can apply trigonometric functions to solve various problems involving right triangles. The perpendicular leg of the reference triangle is crucial in determining the values of sine, cosine, and tangent for the given angle in the original triangle.

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Answer:

y=32

Step-by-step explanation:

y/2 +22=38

y/2= 16

y=32

Answer: Y=32

Step-by-step explanation:

Answer:

x^2+y^2 = 49

Step-by-step explanation:

This is a circle.

The generic equation of a circle is

(x-h)^2+ (y-k)^2 = r^2

where (h,k) is the center and r is the radius

The center of the circle is at the origin which is (0,0)

The radius is 7

(x-0)^2+(y-0)^2 = 7^2

x^2+y^2 = 49

Answer:

\( \displaystyle {x}^{2} + {y}^{2} = 49\)

Step-by-step explanation:

we are given a circle

we want to figure out the equation of the circle

remember that,

\( \rm \displaystyle E _{c} : (x - {h)}^{2} + (y - k {)}^{2} = {r}^{2} \)

(h,k) are the centre of the circle

we can clearly see that the centre of the circle is (0,0) and the redious is 7 units

thus substitute:

\( \displaystyle (x - {0)}^{2} + (y - 0{)}^{2} = {7}^{2} \)

further simplification is needed:

\( \displaystyle {x}^{2} + {y}^{2} = 49\)

and we are done!

The equation that represents the table, in slope-intercept form, is: y = -2x + 11.

The slope-intercept form of an equation that represents a line is expressed as y = mx + b, where:

Using two pairs of values from the table, (6, -1) and (9, -7):

Slope (m) = (-7 -(-1)) / (9 - 6)

Slope (m) = -6/3

Slope (m) = -2.

Find the y-intercept, b, by substituting m = -2 and (x, y) = (6, -1) into y = mx + b:

-1 = -2(6) + b

-1 = -12 + b

-1 + 12 = b

b = 11

To write the equation, substitute m = -2 and b = 11 into y = mx + b:

y = -2x + 11

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Answer:

20 apples, 32 pears

Step-by-step explanation:

Using a for number of apples and p for number of pears, you get a+p=52 (amount) and 0.4a+0.5p=24 (cost).

One way of solving simultaneous equations is using like terms and adding/subtracting them to remove a variable. There aren't any like terms here, but we can create some by multiplying terms.

Multiplying the second equation by 2 gives 0.8a+p=48, so that makes a like term.

Since the symbols are the same in front of the like term, we subtract the second term from the first one. This gives 0.2a=4.

Dividing by 0.2 gives a=20.

We can sub this into either equation to get the value of p.

a+p=52, so 20+p=52, meaning p=32.

**This content involves simultaneous equations, which you may want to revise. I'm always happy to help!

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

3 and 1/3 pounds = flour

5 = containers

Step 02:

We must apply the algebraic rules to find the solution.

The answer is:

2/3 pounds of flour

There are 12 identical marbles in a bag, and Suzy is going to select 9 marbles from the bag at random.

The problem asks how many possible outcomes there are.

To begin with, we need to understand the concept of combinations. A combination is a way to select a subset of objects from a larger set, without regard to the order of the objects. For example, if we have four marbles (A, B, C, and D), there are six possible combinations of two marbles: AB, AC, AD, BC, BD, and CD.

In this problem, we have 12 marbles and we are choosing 9 of them. To find the total number of combinations, we can use the formula for combinations:

nCr = n! / r!(n-r)!

where n is the total number of objects, r is the number of objects we are choosing, and ! represents factorial (i.e. multiplying a number by all the positive integers less than it).

So, plugging in our numbers:

12C9 = 12! / 9!(12-9)! = 12! / 9!3! = (121110) / (321) = 220

Therefore, there are 220 possible outcomes if Suzy selects 9 marbles at random from a bag containing 12 identical marbles.

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Answer:

1 1 250(1.035)t

2 12 250(1.002896)12t

3 52 250(1.0006635)52t

4 365 250(1.0000938)365t

Step-by-step explanation:

From Plato

The complete details is shown below:

Interest, in its most simple form, is calculated as a percent of the principal.

Given:

r = 0.03425, and n = 365

P = 250.

                                          Table

Expression for the Amount of Money             Number of Times Interest

after t Years                                                       is Compounded per Year

                                                                                  Account

250(1.035)                                                                    1

250(1.002896)12                                                        12

250(1.0000938)365+                                               365

So,

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Answer:

It is the top right

Step-by-step explanation:

I got it right

2. The exact value of sin (185° - 65°) is (√3/2)(cos (65°)) - (1/2)(sin (65°)).

3. The exact value of tan 255° is (1/√3 - √3)/2.

The sine function has a range of values between -1 and 1, and it is a periodic function that repeats every 2π radians or 360 degrees.

We can use the difference identity for sine to find the exact value of sin (185° - 65°):

sin (185° - 65°) = sin 185° cos 65° - cos 185° sin 65°

Since sin (180° + x) = -sin x and cos (180° + x) = -cos x to simplify the expression:

sin (185° - 65°) = sin (120°) cos (65°) + cos (120°) sin (65°)

= (√3/2)(cos (65°)) + (-1/2)(sin (65°))

= (√3/2)(cos (65°)) - (1/2)(sin (65°))

Therefore, the exact value of sin (185° - 65°) is (√3/2)(cos (65°)) - (1/2)(sin (65°)).

Here,

tan 255° = tan (225° + 30°)

Using the tangent sum identity, we get:

tan (225° + 30°) = (tan 225° + tan 30°)/(1 - tan 225° tan 30°)

Since tan 225° = tan (225° - 180°) = tan (-45°) = -1 and tan 30° = (√3)/3, we can substitute these values:

tan 255° = (-1 + (√3)/3)/(1 + 1/√3)

Simplifying the denominator by rationalizing the denominator, we get:

tan 255° = (-1 + (√3)/3)/(√3 + 1)

Multiplying the numerator and denominator by (√3 - 1), we get:

tan 255° = [(-1 + (√3)/3)(√3 - 1)]/[(√3 + 1)(√3 - 1)]

= [(√3 - 1 - 1 + 1/√3)]/(2)

= [√3 - 2 + 1/√3]/2

= (1/√3 - √3)/2

Therefore, the exact value of tan 255° is (1/√3 - √3)/2.

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Answer:

5a(a + 2)

Step-by-step explanation:

Given

(3a + 1)² - 4a² + 4a - 1 ← expand factor using FOIL

= 9a² + 6a + 1 - 4a² + 4a - 1 ← collect like terms

= 5a² + 10a ← factor out 5a from each term

= 5a(a + 2)

Answer: 1.71, 1 3/4, 16/9, pie

Step-by-step explanation: We convert all the numbers to improper fractions. 1.71 = 171/100. 1 3/4 = 175/100 because 3/4 is 0.75. pi is 3.14... which is larger than all of the other numbers. So, pi is the largest. For 16/9, we can just divide to find the solution. Once you divide, you will notice that the answer is 1.77777777... This means that it is larger than 1.71 and 1.75 so 16/9 is the second largest. 1.71 is smaller than 1.75 so the order is 1.71, 1 3/4, pie, 16/9

Answer:

3/10

Their favourite is pizza

Step-by-step explanation:

30% = 30/100

simplified is 3/10

Answer:

3/10

Step-by-step explanation:

1. 30%=3/10

2. The schools favorite lunch is pizza

Answer:

y = 2 v2, 2 square root 2

Step-by-step explanation:

since it's a right triangle with a 45°, that means the other angle is also 45°

which makes both sides the same

Pythagoras

4^2 = y^2 + y^2

16 = 2 y^2

16/2 = y^2

8 = y ^2

v8 = y

2 v2 = y

note: (v = square root)

Answer:

\(2\sqrt{2\)

Step-by-step explanation:

The ratios of a 45 - 45 - 90 triangle is \(1:1:\sqrt{2}\)

To get 4 for the hypotenuse, you need to mulitpy \(\sqrt{2}\) by \(\sqrt{8}\).

\(\sqrt{2}\) x \(\sqrt{8}\) = \(\sqrt{16}\)

Simplify.

\(\sqrt{16} = 4\)

If you simplify the \(\sqrt{8}\), it equals \(2\sqrt{2}\).

Since the ratio is \(1:1:\sqrt{2}\)

The sides will be \(2\sqrt{2}:2\sqrt{2}:4\)

The number of square centimeters in the area of rectangle $A_3$ is 105.

The area of the rectangle is the region enclosed by the perimeter of the rectangle and is equal to product of length and width. We have two squares $A_1$ and $A_2$ with areas of 25 and 49 square centimeters, respectively. Let's find the side lengths of the squares by taking the square root of their areas:\(A1s=25=s2=25−−√=5 cm$$A2s=49=s2=49−−√=7\)cm.

We know that the area of a rectangle is equal to the product of its length and width. Therefore, the area of rectangle  A3$is:$A3=7⋅15=105 cm2. Therefore, the number of square centimeters in the area of rectangle $A_3$ is 105.

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