A company the created a basic knowledge exam claims that more than 70% of adults should pass the test. In a recent study, 584 out of 875 people were able to pass the test. Find a test statistic for the proposition.

z = 2.10
z = -1.72
z = -2.10
z = 1.72

Answers

Answer 1

Answer: -2.10

Step-by-step explanation:

just took the test


Related Questions

Which best describes a triangle

Answers

Answer:

i think the answer may be acute and isosceles

HELLPP ASAP!!!!
1. Find the unknown side lengths in these right triangles.

Answers

Answer:

10

Step-by-step explanation:

5x2

okay so for the first one use the pythagorean theorem. 5^2 x 2^2 so simplify that rq. 25 x 4. so now solve that and c=100 which we need to get the square root of. so that would be 10 so c=10

then for the next one the square root of 8 squared is just 8 and 4^2 is 16. so now the equation for that is 8 +y^2= 16 so simplify that and the solution for that is 2√2

hi guys i need help

cosx = 3/5
sinx+tanx = ?​

Answers

cosx = 3/5

sin²x + cos²x = 1

sin²x = 1- 9/25

sin²x= 16/25

sinx = 4/5

tanx = sinx/cosx

tanx = 4/3

For every 2 gallons of vanilla ice cream a shop sells, they sell 11 gallons of chocolate ice cream. If they sell 16 gallons of vanilla ice cream, how many gallons of chocolate ice cream is sold?

Answers

Answer: 88 gallons

Step-by-step explanation:

Every 2 vanillas = 11 chocolates

so 16 vanillas = 88 chocolates

i did this by multiplying both numbers by 8

sorry if this is wrong

i think the answer is 88

using the midpoint formula, solve for the midpoint of the segment with these pairs of endpoints (-8,21) and (32,-2)​

Answers

Answer

(24,9.5) using the midpoint formula

Answer:

(12, 9.5)

Step-by-step explanation:

[tex]\frac{x_{1} + x_{2} }{2} , \frac{y_{1}+y_{2} }{2} = midpoint\\x:\frac{-8+32}{2} = 12\\y: \frac{21-2}{2} = 9.5[/tex] 

plz help i beg!! 50 points

Answers

Answer:

63.25 sq. ft

Step-by-step explanation:

the area of fig. =

(½×8×6)+(½×3.14×5²)

= 24 + 39.25

= 63.25 sq. ft

Answer:

The area of the figure is 63.25 square feet

Step-by-step explanation:

yes

https://brainly.com/question/14200006

13x=6 what is x in number form please and thank you

Answers

Answer:

0.461538

Step-by-step explanation:

brainlest pls im try to rank up to ace

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

[tex]\mathsf{13x = 6}[/tex]

[tex]\huge\textsf{DIVIDE 13 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{13x}{13}=\dfrac{6}{13}}[/tex]

[tex]\rm{CANCEL \ out: \dfrac{13}{13} \ because \ that \ gives \ you \ 1}[/tex]

[tex]\rm{KEEP: \dfrac{6}{13} \ because \ that \ gives \ you \ the \ value \ of \ x}[/tex]

[tex]\boxed{\boxed{\mathsf {Answer: x = \bf \dfrac{6}{13}}}}\huge\checkmark[/tex]

[tex]\boxed{\textsf{or you could say \boxed{\mathsf{x = \underline{\bf 0.461538}}} they both equal to the same thing}}\huge\checkmark[/tex]

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

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

A movie theater is showing 1 musical and 7 other movies (8 movies in total). Each type of movie is equally likely to be chosen.

If 1,000 people go to the movies, how many people are expected to choose a musical? (*Hint* create and solve a proportion to help you)

Answers

Answer:

125

Step-by-step explanation:

1,000/8 because all the outcomes are evenly likely

Question 13.
Calculate X + Y

A. 9 12
0 1

B. 9 -12
0 -5

C. 9 -2
-18 -1

D. 9 2
-8 -1

Answers

Answer:

D is your correct answer.

If m x=49, y =41
x=90, y=49
x=90 y=41
x=41 y=49

Answers

Answer:

90

Step-by-step explanation:

90

ASAP NEED HELP ON MY MATH RETAKE I NEED HELP PLZZZ IM BEGGING YALL

Answers

I’m pretty sure that the correct answer is C

Answer:

I think it's c but I'm not 100%

Step-by-step explanation:

sorry if I'm wrong

what is the mean of 1,5,8,4,5,7,6,6,2,3

Answers

Answer:

4.7

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

4.7

Step-by-step explanation:

[tex]1+5+8+4+5+7+6+6+2+3=47\\47/10=4.7[/tex]

Please please pretty please answer this :)

Answers

Answer:

The question ain't clear

Help me please
Point K(–5, 2) is the midpoint of line segment Y Z , with endpoint Y(1, –3). What are the coordinates of Z?

Answers

Midpoint is (-2 , -0.5)

The surface areas of to somewhere figures are 36 inches squared and 49 inches squared. If the volume of the similar figure is 640 inches cubed, what is the volume of the larger figure?
A) 1029in^3
B) 746in^3
C) 408in^3
D) 882in^3​

Answers

Answer:

345

Step-by-step explanation:

The equation of the line of best fit is y=3x+2. x=the number of ice cream sales and y= the number of days. Answer the following questions. Show your work as proof.

a. How many days did it take, if the number of ice cream sales is $40?

b. How much ice cream was sold on day 8?

Answers

Step-by-step explanation:

y = 3(40) + 2y = 120 + 2y =122.

The formula s = StartRoot StartFraction S A Over 6 EndFraction EndRoot gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 480 square meters than a cube with the surface area of 270 square meters

Answers

Answer:

It's B

Step-by-step explanation:

I took the test

Answer:

B= (√30 - 2√5)

Step-by-step explanation:

Bryson hopes to win a three-day vacation in a drawing that is being held at his office. He purchased 40 raffle tickets. There were 500 raffle tickets sold. What is the theoretical probability of Bryson winning the trip?
StartFraction 2 over 25 EndFraction
One-fifth
Four-fifths
StartFraction 500 over 40 EndFraction

Answers

A. It would be 2/25 probability. 40/500 gives 0.08, and 2/25 also gives 0.08.

Answer:

A is correct 2/25.

Step-by-step explanation:

Thats what answer I got from doing the math

What is the arithmetic mean for 8,10,8,5,4,7,5,10,8

Answers

Answer:

57.8

Step-by-step explanation:

I am sure that this is the answer.

Answer:

57.8

Step-by-step explanation:

8+10+8+5+4+7+5+10+8 ÷9 = 57.8

Hope this helps!

What are the fourth roots of −3+33√i ?



Enter your answer by filling in the boxes. Enter the roots in order of increasing angle measure in simplest form.

Answers

Answer:

In order of increasing angle measure, the fourth roots of -3 + 3√3·i are presented as follows;

[tex]\sqrt[4]{6} \cdot \left[cos\left({-\dfrac{\pi}{12} } \right) + i \cdot sin\left(-\dfrac{\pi}{12} } \right) \right][/tex]

[tex]\sqrt[4]{6} \cdot \left[cos\left({\dfrac{5 \cdot \pi}{12} } \right) + i \cdot sin\left(\dfrac{5 \cdot\pi}{12} } \right) \right][/tex]

[tex]\sqrt[4]{6} \cdot \left[cos\left({\dfrac{11 \cdot \pi}{12} } \right) + i \cdot sin\left(\dfrac{11 \cdot\pi}{12} } \right) \right][/tex]

[tex]\sqrt[4]{6} \cdot \left[cos\left({\dfrac{17 \cdot \pi}{12} } \right) + i \cdot sin\left(\dfrac{17 \cdot\pi}{12} } \right) \right][/tex]

Step-by-step explanation:

The root of a complex number a + b·i is given as follows;

r = √(a² + b²)

θ = arctan(b/a)

The roots are;

[tex]\sqrt[n]{r}[/tex]·[cos((θ + 2·k·π)/n) + i·sin((θ + 2·k·π)/n)]

Where;

k = 0, 1, 2,..., n -2, n - 1

For z = -3 + 3√3·i, we have;

r = √((-3)² + (3·√3)²) = 6

θ = arctan((3·√3)/(-3)) = -π/3 (-60°)

Therefore, we have;

[tex]\sqrt[4]{-3 + 3 \cdot \sqrt{3} \cdot i \right)} = \sqrt[4]{6} \cdot \left[cos\left(\dfrac{-60 + 2\cdot k \cdot \pi}{4} \right) + i \cdot sin\left(\dfrac{-60 + 2\cdot k \cdot \pi}{4} \right) \right][/tex]

When k = 0, the fourth root is presented as follows;

[tex]\sqrt[4]{6} \cdot \left[cos\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 0 \cdot \pi}{4} \right) + i \cdot sin\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 0 \cdot \pi}{4} \right) \right] \\= \sqrt[4]{6} \cdot \left[cos\left({-\dfrac{\pi}{12} } \right) + i \cdot sin\left(-\dfrac{\pi}{12} } \right) \right][/tex]

When k = 1 the fourth root is presented as follows;

[tex]\sqrt[4]{6} \cdot \left[cos\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 1 \cdot \pi}{4} \right) + i \cdot sin\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 1 \cdot \pi}{4} \right) \right] \\= \sqrt[4]{6} \cdot \left[cos\left({\dfrac{5 \cdot \pi}{12} } \right) + i \cdot sin\left(\dfrac{5 \cdot\pi}{12} } \right) \right][/tex]

When k = 2, the fourth root is presented as follows;

[tex]\sqrt[4]{6} \cdot \left[cos\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 2 \cdot \pi}{4} \right) + i \cdot sin\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 2 \cdot \pi}{4} \right) \right] \\= \sqrt[4]{6} \cdot \left[cos\left({\dfrac{11 \cdot \pi}{12} } \right) + i \cdot sin\left(\dfrac{11 \cdot\pi}{12} } \right) \right][/tex]

When k = 3, the fourth root is presented as follows;

[tex]\sqrt[4]{6} \cdot \left[cos\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 3 \cdot \pi}{4} \right) + i \cdot sin\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 3 \cdot \pi}{4} \right) \right] \\= \sqrt[4]{6} \cdot \left[cos\left({\dfrac{17 \cdot \pi}{12} } \right) + i \cdot sin\left(\dfrac{17 \cdot\pi}{12} } \right) \right][/tex]

Answer:

Step-by-step explanation:

Just took the test.

1) 4sqrt6 cis(pie/6)

2) 4sqrt6 cis (2pie/3)

3) 4sqrt6 cis(7pie/6)

4) 4sqrt6 cis (5pie/3)


Which ordered pair is the best estimate for the solution to this graphed system of
equations:

Answers

Answer:

(2.1, -1.3)

Step-by-step explanation:

Each line represents the set of points that satisfy the equation.

That means there's only one point that satisfies both equations (and thus, is the solution) - the point where they cross.

We can see it's a bit to the right of x=2 and a bit lower then y=-1, so the (2.1, -1.3) point looks like the most plausible estimate.

On January 1, Mario had a savings account balance of $2742 and by April 1, his balance had increased to $3597. Find Mario's average savings rate in dollars per month for that period.

Answers

Answer: $285

Step-by-step explanation:

First and foremost, we should note that from January 1 to April 1 is 3 months. Since Mario had a savings account balance of $2742 on January 1 and by April 1, his balance had increased to $3597. The increase in balance will be:

= $3597 - $2742

= $855

Then the average savings rate will be:

= Total amount saved / Number of months

= $855/3

= $285

He had an average savings of $285 per month.

You are mowing your neighbor's lawn. He is going to pay you $20.00 for the first two hours and $5.00 for anything after that. Which algebraic expression represents how much you will be paid for working h hours?

Answers

Answer: H = 35

Step-by-step explanation:

You do 20.00+5*h

Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of $2475 . What was the rate charged per hour by each mechanic if the sum of the two rates was $200 per hour?
plssssssss help !!!!!!!!!

Answers

Answer:

Rates :

$95 per hour and $105 per hour

Step-by-step explanation:

Let their rate = x and y respectively :

10x + 15y = 2475 - - - - (1)

x + y = 200 - - - - (2)

x = 200 - y - - (3)

Put (3) into (1)

10(200 - y) + 15y = 2475

2000 - 10y + 15y = 2475

5y = 2475 - 2000

5y = 475

y = 95

x = 200 - y

x = 200 - 95

x = 105

Expand (p - q)(p+q).​

Answers

Answer:

p^2 - q^2

Step-by-step explanation:

This is an example of "the product and difference of two squares."

The relevant formula is (a - b)(a + b) = a^2 - b^2 (no middle term).

Here,the desired product is (p - q)(p + q) = p^2 - q^2.

Answer:

(p - q)(p+q). :p²-q²....

Kaden works 5 days. The median number of hours he works is 3. The mean number of hours he works is 4.

Answers

Answer:

(a) 1, 2, 3, 6, 8

Step-by-step explanation:

Given

[tex]Median = 3[/tex]

[tex]Mean = 4[/tex]

Required

The sequence of hours worked each day

See attachment for options

From the question, we understand that:

[tex]Median = 3[/tex]

This means that, the middle number is 3 (when sorted)

So, we can conclude that (b) and (c) cannot be true because their middle numbers are 6 and 5 respectively

Next, is to determine the mean of (a) and (d)

The mean of a data is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

(a)

[tex]\bar x = \frac{1+ 2+ 3+ 6+ 8}{5}[/tex]

[tex]\bar x = \frac{20}{5}[/tex]

[tex]\bar x = 4[/tex]

(d)

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

[tex]\bar x = \frac{15}{5}[/tex]

[tex]\bar x = 3[/tex]

Option (a) is true, because it has:

[tex]Median = 3[/tex]

[tex]Mean = 4[/tex]

HELPPP ME PLEASEEEEEE

Answers

Answer:

Step-by-step explanation:

[tex]y^2 = 100 + 196 = 296\\\\y = \sqrt{296} \\\\y = 17.20[/tex]

How can you tell from the equation of a rational function if the function has a hole in the graph ( a removable discontinuity) at x, rather than a vertical asymptote? Give an example​

Answers

Consider that,

x^2+4x+4 = (x+2)(x+2)

x^2+7x+10 = (x+2)(x+5)

Dividing those expressions leads to

(x^2+4x+4)/(x^2+7x+10) = (x+2)/(x+5)

The intermediate step that happened is that we have (x+2)(x+2) all over (x+2)(x+5), then we have a pair of (x+2) terms cancel as the diagram indicates (see below). This is where the removable discontinuity happens. Specifically when x = -2. Plugging x = -2 into (x+2)/(x+5) produces an output, but it doesn't do the same for the original ratio of quadratics. So we must remove x = -2 from the domain.

In a​ survey, 400 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 2.

Cards Chosen
Number
1
2
3
4
5
The theoretical probability of choosing a card with the number is
nothing​%. The experimental probability of choosing a card with the number is
nothing​%. The theoretical probability is
the experimental probability.
​(Type integers or​ decimals.)

Answers

Answer:

25

Step-by-step explanation:

Find the exact value of cot 330° in simplest form with a rational denominator.

Answers

Answer:

[tex]\cot 330^{\circ} = -\sqrt{3}[/tex]

Step-by-step explanation:

The cotangent function can be rewritten by trigonometric relations, that is:

[tex]\cot 330^{\circ} = \frac{1}{\tan 330^{\circ}} = \frac{\cos 330^{\circ}}{\sin 330^{\circ}}[/tex] (1)

By taking approach the periodicity properties of the cosine and sine function (both functions have a period of 360°), we use the following equivalencies:

[tex]\sin 330^{\circ} = \sin (-30^{\circ}) = -\sin 30^{\circ}[/tex] (2)

[tex]\cos 330^{\circ} = \cos (-30^{\circ}) = \cos 30^{\circ}[/tex] (3)

By (2) and (3) in (1), we have following expression:

[tex]\cot 330^{\circ} = -\frac{\cos 30^{\circ}}{\sin 30^{\circ}}[/tex]

If we know that [tex]\sin 30^{\circ} = \frac{1}{2}[/tex] and [tex]\cos 30^{\circ} = \frac{\sqrt{3}}{2}[/tex], then the result of the trigonometric expression is:

[tex]\cot 330^{\circ} = -\frac{\frac{\sqrt{3}}{2} }{\frac{1}{2} }[/tex]

[tex]\cot 330^{\circ} = -\sqrt{3}[/tex]

The exact value of cot 330° with a rational denominator is √3.

To find the exact value of cot 330°, we can first determine the reference angle. The reference angle for 330° is 30°, as it is the angle between the terminal side of 330° and the x-axis.

Cotangent (cot) is the reciprocal of the tangent function, so we need to find the tangent of the reference angle, which is tan 30°. The tangent of 30° is √3/3.

Since cot is the reciprocal of tan, the cotangent of 330° is the reciprocal of √3/3, which is 3/√3.

To rationalize the denominator, we multiply the numerator and denominator by the conjugate of the denominator, which is √3.

(3/√3) x (√3/√3) = 3√3/3

Simplifying further, we can cancel out the common factor of 3:

(3√3/3) = √3

Therefore, the exact value of cot 330° with a rational denominator is √3.

To learn more about trigonometric identities;

https://brainly.com/question/24377281

#SPJ6

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