If the mean of a set of data is 23 and the standard deviation is 4, what data value has a z-score of -1.5?

Answers

Answer 1

Answer:

17

Step-by-step explanation:

[tex]\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=\frac{x-\mu}{\sigma}\\ \\-1.5=\frac{x-23}{4}\\ \\-6=x-23\\\\17=x[/tex]

Therefore, the observed value that gives a z-score of -1.5 is 17


Related Questions

i put the wrong question earlier help is appreciated

Answers

Answer:

B. 71°

Step-by-step explanation:

Parallel lines are the same

Answer:

measure of angle 1 is equal to 71.

Supervisor: "you took 500 calls in 30 days." representative: "that means i took an average of __________ calls per day. i'm pretty pleased with that."

Answers

Answer:

an average of around 16 calls per day

Step-by-step explanation:

Simply divide 500 by 30 and that comes out to 16.66666

But because you cannot take half a call you just use 16 as your answer!

Answer answer please please

Answers

Answer:

b

Step-by-step explanation:

you have to solve each equation to find the smallest to largest.

Answer: it is choice b . The second choice is correctly ordered from greatest to largest .

HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

please solve 14 and 15 only

i will mark brainliest!!!!

Answers

Answer:

see explanation

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 4 , ∠ 5 , ∠ 6 are exterior angles of the triangle

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

(14)

∠ 1 and ∠ 4 are adjacent angles and sum to 180° , then

∠ 1 = 180° - 58° = 122°

∠ 2 + ∠ 3 = ∠ 4

∠ 2 + 32° = 58° ( subtract 32° from both sides )

∠ 2 = 26°

∠ 5 = ∠ 1 + ∠ 3 = 122° + 32° = 154°

∠ 6 = ∠ 1 + ∠ 2 = 122° + 26° = 148°

(15)

∠ 4 = ∠ 2 + ∠ 3 = 11° + 143° = 154°

∠ 1 = 180° - ∠ 4 = 180° - 154° = 26°

∠ 5 = ∠ 1 + ∠ 3 = 26° + 143° = 169°

∠ 6 = ∠ 1 + ∠ 2 = 26° + 11° = 37°

please help. i have test tomorrow and i need to know how to do this.

Answers

Answer:

Answer is D

Just expand

And remember

[tex] \sqrt{ - a} = \sqrt{a} i[/tex]

Goodluck tomorrow

Lucy is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, and spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange?

Answers

The total possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections is 20.

What is permutation and combination?

A permutation can be defined as the number of ways a set can be arranged, order matters but in combination the order does not matter.

We have:

Total number of outcomes for pyramid = 4

Total number of outcomes for spinner = 5

Total outcomes = 4×5  (multiplication rule of counting)

= 20

Thus, the total possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections is 20.

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what problem can be solved using 3 x 7 = 21

Answers

Answer:

21 divided by 3

21 divided by 7

7 times by 3

Answer:

can u help me for me ques pls

can someone help me with this? I dont get how to do it. Thank you!

Answers

Answer:

V = 162 ft³

Step-by-step explanation:

given 2 similar figures with ratio of sides a : b , then

ratio of volumes is a³ : b³

here ratio of sides = 3 : 1 , then

ratio of volumes = 3³ : 1³ = 27 : 1

this means that the volume of figure A is 27 times the volume of figure B

volume (V) of figure A is then

V = 27 × 6 = 162 ft³

What is the probability that the average of four babies' weights will be within 1. 2 pounds of the mean; will be between 6. 8 and 9. 2 pounds?

Answers

The probability that the average of four babies' weights will be within 1. 2 pounds of the mean; will be between 6. 8 and 9. 2 pounds is 0.74.

What is the probability?

Probability is the branch of mathematics, which discusses the occurrence of a random experiment.

The average of four babies' weights will be within 1. 2 pounds of the mean; will be between 6. 8 and 9. 2 pounds.

The standard error of the sample will be:

[tex]\rm Standard \ error=\dfrac{Standard deviation}{\sqrt{ Number \ of \ babies} }\\\\\rm Standard \ error=\dfrac{1.2}{\sqrt{ 4} }\\\\Standard \ error=\dfrac{1.2}{2}\\\\Standard \ error=0.6[/tex]

The probability that the average of four babies P(4 babies will be between 8.4 - 9.6 pounds) is;

[tex]\rm P(6.8\leq X\leq 9.2)= \left( \dfrac{6.8-8}{0.6}\leq X\leq \dfrac{9.2-8}{0.6} \right )\\\\\rm P(6.8\leq X\leq 9.2)= \left( \dfrac{-1.2}{0.6}\leq X\leq \dfrac{1.2}{0.6} \right )\\\\\rm P(6.8\leq X\leq 9.2)= \left( -2\leq X\leq 2 \right )\\\\\rm P(6.8\leq X\leq 9.2)= P(Z\leq -2)-P(Z\leq 2)\\\\ P(6.8\leq X\leq 9.2)=0.97-0.22\\\\ P(6.8\leq X\leq 9.2)=0.74[/tex]

Hence, the probability that the average of four babies' weights will be within 1. 2 pounds of the mean; will be between 6. 8 and 9. 2 pounds is 0.74.

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100 POINTS NEED IMMEDIATLY PLEASE HELP!!!
Determine the approximate ordered pair for f(x) = g(x).
There is a screenshot that I have attached and here are the options that you can answer:
(3, 12)
(3, 18)
(12, 3)
(18, 3)

Answers

The approximate ordered pair is the coordinate where both functions graph intercect

That's can be found only by observing graph.

As we observe we find that

The coordinate at where f(x)=g(x) is (3,18)

It means that

at this the values of both the functions are equal

i.e

f(3)=g(3)=18

Answer:

b)  (3, 18)

Step-by-step explanation:

f(x) = g(x) at the point where the two lines intersect.

From inspection of the graph, we can see that the x-value of the point of intersection is between 0 and 10.  Therefore, from the options given, it must be x = 3 (since 12 > 10 and 18 > 10).

From inspection of the graph, we can see that the y-value of the point of intersection is between 10 and 20, but it's nearest to 20 than it is 10.  Therefore, from the options given, it must be y = 18.

Therefore, the approximate ordered pair is (3, 18)

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Hello I am here to help!

the answer is b.

B is correct because 1/4 is eights is 2/8.
When you add 3/8 and 2/8 your answer is 5/8 which is b.
Therefore the answer is B

Answer:

B. 5/8

Step-by-step explanation:

To find this you will want to find what the 2 denominators have in common. In this instance if you multiply 4 by 2 you will get 8. Once you find what you can do to get the same denominators you will multiply the numerator with the same number as the denominator. So 4x2 and 1x2 gives us 2/8 as our new fraction. After this adding fractions is much simplier. It's as simple as adding the numerators together and keeping the denominator as the same. 3/8 + 2/8 = 5/8.

Pleassere helppppp meeeee

Answers

Hey there!

h(x) = 17 + x/6
y = 17 + x/6
y = 17 + (-18)/6
y = 17 - 18/6
y = 17/1 + (-18)/6
y = 17/1 + (-3)/1
y = 17/1 - 3/1
y = 17 - 3 / 1 - 1
y = 14 / 1
y = 14
h(x) = 14


Therefore, the answer should be: 14



Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Which is the value of Sin^2 51+Cos ^2 51 ?

Answers

Answer:

1

Step-by-step explanation:

[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]

Here, both of these angles are 51 so they will be equal to 1.

Can someone explain

Answers

Answer:

See below ~

Step-by-step explanation:

Applying the rule (x - 5, y - 3) to the coordinates :

The coordinates are :

(2 - 5, -3 - 3) = (-3, -6)(2 - 5, 2 - 3) = (-3, -1)(5 - 5, -3 - 3) = (0, -6)(5 - 5, 2 - 3) = (0, -1)

As evidenced by the rule :

The rectangle is translated 5 units to the left and 3 units down.

Math question 10 points

Answers

Answer: 31

Step-by-step explanation:

C = 18w + 53

611 = 18w + 53

- 53 -53

558 = 18w

divide both sides by 18.

558 / 18 = 31

Carl is trying to determine the length of segment mn using the pythagorean theorem. on a coordinate plane, line m n has points (negative 3, 1) and (4, negative 4). step 1: find the vertex of a possible right triangle. v(4, 1) step 2: find the leg lengths of the right triangle. nv = 7, mv = 5 step 3: substitute the values into the pythagorean theorem. 7 squared 5 squared = c squared step 4: solve for c. 7 squared 5 squared = c squared. 49 25 = c squared. 74 = c squared. startroot 74 endroot = c. which best describes the accuracy of carl’s solution? carl’s work and answer are both entirely correct. carl’s answer is correct, but he incorrectly labeled the leg lengths in step 2. carl’s work and answer are incorrect. he choose a vertex, v, that does not make a right triangle with mn. carl’s work and answer are incorrect. he substituted and solved incorrectly.

Answers

The option that describes the accuracy of Carl's solution in the Pythagoras is C. Carl's work is correct but he incorrectly labeled the leg lengths in step 2.

What is Pythagoras?

It should be noted that a Pythagoras theorem is a theorem that states that the sum of the squares that are on the leg of a right angle will be equal o the square of the hypotenuse.

In this case, the steps given show that Carl's work is correct but he incorrectly labeled the leg lengths in step 2.

Therefore, the correct option is C.

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Answer:

c

Step-by-step explanation:

Carl’s work and answer are incorrect. He choose a vertex, V, that does not make a right triangle with MN.

A science test, which is worth 100 points, consists of 24 questions. E
points. If x is the number of 3-point questions and y is the number of
represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions
The test contains 4 three-point questions and 20 five-point ques
The test contains 10 three-point questions and 14 five-point que
The test contains 14 three-point questions and 10 five-point qu-
O The test contains 20 three-point questions and 8 five-point que

Answers

Answer:

B

Step-by-step explanation:

actually the question is about to solve x and y

x + y = 24, x = 24 - y, put into the other equation

3x + 5y = 100

3(24 - y) + 5y = 100

72 - 3y + 5y = 100

2y = 28

y = 14

x = 24 - 14 = 10

no. of 3 point question = 10, no. of 5 point question = 14

what is 73 divided by 8 equal in remainder???

Answers

Answer:

9 remainder 1

Step-by-step explanation:

Not sure but uh... 73/8=9 remainder 1.

Is this what you are looking for?

73 divided by 8 equals 9 with a remainder of 1.

To find the quotient and remainder when dividing 73 by 8, we perform long division.

Here's how it works:

We start by dividing the first digit of the dividend (7) by the divisor (8). Since 7 is smaller than 8, the quotient will be 0, and the remainder will be 7.

We bring down the next digit from the dividend, which is 3, making the new number 73.

Now, we divide 73 by 8. The largest multiple of 8 that fits into 73 is 9 (8 times 9 equals 72). So, the quotient becomes 9.

We subtract 72 (8 times 9) from 73, resulting in a remainder of 1.

Therefore, 73 divided by 8 equals 9 with a remainder of 1.

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verify the theorm proved above for p=2,p=5 and for a^2=1, 4,9,25,36,49,64 and 81​

Answers

Theorem : Let p be a prime number. If p divides a²  , (where a is a positive integer),  then p divides aLet say prime factors of a area = p₁ , p₂ , p₃ ........., pₓ   where p₁ to pₓ are prime numbera = (p₁ × p₂ × p₃ ×.........× pₓ)a² =  (p₁ × p₂ × p₃ ×.........× pₓ) (p₁ × p₂ × p₃ ×.........× pₓ)if p divides a² then it is one of  (p₁ × p₂ × p₃ ×.........× pₓ)as a = (p₁ × p₂ × p₃ ×.........× pₓ) so p divides aVerification forp = 2, p = 5 and for a square = 1, 4, 9, 25, 36, 49, 64 and 81.2 is factor of 4 , 36 & 642 is factor of 2 , 6 & 85 is factor of 255 is a factor of 5 also

evaluate (√2 + √3)² (√5 - √2)²

Answers

Answer:

35 -10√10 + 14√6 - 8√15

Step-by-step explanation:

(√2 + √3)² · (√5 - √2)²

use (a ± b)² = a² ± 2ab + b²

= [(√2)² + 2(√2)(√3) + (√3)²] · [(√5)² - 2(√5)(√2) + (√2)²]

= (2 + 2√6 + 3) · (5 - 2√10 + 2)

= (5 + 2√6)(7 - 2√10)

use FOIL: (a + b)(c + d) = ac + ad + bc + bd

= (5)(7) + (5)(-2√10) + (2√6)(7) + (2√6)(-2√10)

= 35 - 10√10 + 14√6  - 4√60

= 35 - 10√10 + 14√6 - 4√(4 · 15)

= 35 - 10√10 + 14√6 - 4 · √4 · √15

= 35 -10√10 + 14√6 - 4 · 2 · √15

= 35 -10√10 + 14√6 - 8√15

[tex]\left(\sqrt 2 +\sqrt 3 \right)^2 \left( \sqrt 5 - \sqrt 2\right)^2\\\\=\left( 2+2\sqrt 6 +3\right)\left( 5-2\sqrt{10}+2\right)\\\\=\left( 5+2\sqrt6\right)\left( 7-2\sqrt{10}\right)\\\\=35-10\sqrt{10}+14\sqrt6-4\sqrt{60}\\\\=35-10\sqrt{10}+14\sqrt6-4\sqrt{4 \times 15}\\\\=35-10\sqrt{10}+14\sqrt6-8\sqrt{15}\\[/tex]

how could lola solve this colored pencil problem quickly?

Answers

Answer:

use a ruler.

Step-by-step explanation:

Cone A has a radíus 12 inches and Cone B has a
radius of 30 inches. If the cones are similar and
the volume of Cone A is 48 ft², find the volume b of Cone b

Answers

Check the picture below.

[tex]\cfrac{\stackrel{A~radius}{(12)^3}}{\underset{B~radius}{(30)^3}}~~ = ~~\cfrac{\stackrel{A~volume}{48}}{\underset{B~volume}{V}}\implies \cfrac{1728}{27000}~~ = ~~\cfrac{48}{V}\implies \cfrac{8}{125}~~ = ~~\cfrac{48}{V} \\\\\\ 8V=(48)(125)\implies V=\cfrac{(48)(25)}{8} \\\\\\ V=\cfrac{48}{8}25\implies V=6(25)\implies V=150[/tex]

There's supposed to be 2 ansers for x, by the way​

Answers

Answer:

x = 143° and x = 323°

Step-by-step explanation:

Solving

3tanx = -4tanx = -4/3tan values are negative in the 2nd and 4th quadrantThe base value is x = 53°

In Quadrant II,

90° + 53°⇒ x = 143°

In Quadrant IV,

270° + 53°⇒ x = 323°
3tanx=-4tanx=-4/3

Now

we know tan53=4/3

But it's negative

So tan is either in 2nd or 4th quadrant

For 2nd Quarter

x=π/2+53=90+53=143°

For 4th quadrant

x=3π/2+53=270+53=323°

PLSSS HELP I WILL AWARD BRAINLIEST

Answers

Answer:

A) f(x) = |x|

B) f(x) = -|x+3| + 3

Step-by-step explanation:

Absolute value functions

The general form of an absolute value function is f(x) = a|x-b| +c

a indicates the 'amplitude' or multiplier

b indicates horizontal shift

c indicates vertical shift

The turning point of f(x) = |x| is (0, 0)

a = y/x when b = 0 and c = 0

A) f(x) = |x|

Since the turning point is still (0, 0) there is no horizontal nor vertical shift, meaning b = 0 and c = 0

We have the point (2, 2), thus a = 2/2 = 1

f(x) = a|x-b| + c

f(x) = |x|

B) f(x) = -|x+3| + 3

The turning point is at (-3, 3) b = -3 and c = +3

We have the point (3, -3), thus a = y/x = -3/3 = -1

f(x) = a|x-b| + c

f(x) = (-1) (|x-(-3)|) + (+3)

f(x) = -|x+3| + 3

A triangular prism is 18 inches long and has a triangular face with a base of 16 inches and a height of 15 inches. The other two sides of the triangle are each 17 inches. What is the surface area of the triangular prism?

Answers

Answer:

16+ inches i think

Step-by-step explanation:

beacuse the with is 16 meanimg it nedds to be the same or bigger

Maria walked 3/4 of a mile. Cody walked 6/10 of a mile. How much farther did Maria walk than Cody?

Answers

Answer:

She walked 3/20 more than Cody

Step-by-step explanation:

6/10 = 12/20,  3/4 = 15/20. 15/20 - 12/20 = 3/20

Answer:

3/4 = 15/20
6/10 = 12/20



15/20 > 12/20
Maria walked a further distance of 3/20 miles than Cody.














Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Find the solution(s) to (x+ 3)2 = 49. Check all that apply.
. A. x= -10
] B. X =-7
C. x =4
. D. x =7
0 E.X=-4

Answers

Answer:

A) x - = -10

C) x = 4

Step-by-step explanation:

(x + 3)² = 49

(x + 3)² = 7²

Take square root both sides,

[tex]\sf \sqrt{(x + 3)^2}=\sqrt{7^2}[/tex]

    x + 3   =  ± 7

     x + 3 = +7        ; x + 3 = -7

          x  = 7 - 3     ;       x = -7 -3

          x = 4           ;        x = -10

x = 4  , -10

   

Which graph models Y<1/2|X-2|

Answers

Answer:

Which graph models Y<1/2|X-2| ...........no.2

A triangle has sides with lengths of 14 meters, 16 meters, and 20 meters. Is it a right triangle?

Answers

Answer:

No, it is not a right triangle.


Using the Pythagorean theorem the longest side would need to be 21.26 meters , not 20, in order to be a right triangle.

The diameter of a circle is 3 in. Find its area to the nearest hundredth.

Answers

Answer:

7.069 in

Step-by-step explanation:

1.5*1.5* 3.14159265359

Answer:

the answer is 14.79... hope this helps

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