Assume that the distributions for the following scenarios are normal. Use the normal standard table to find the following probabilities. Round z
-scores to the nearest hundredth.

The average score on a math test is 75
with a standard deviation of 8
. What is the probability that a randomly selected test has a score of 90
or higher?
P(z
Answer

Answer
)=
Answer

The life of a gas grill is 3.5
years with a standard deviation 0.35
years. What is the probability that the grill will last less than 3
years?
P(z
Answer

Answer
)=
Answer

Ambulance response times average 7.5 minutes with a standard deviation of 2.5. What is the probability that an ambulance will respond within 6 to 8 minutes.
P(
Answer
Answer

z
Answer

Answer
)=
Answer

Answers

Answer 1

Answer: y=2+6

Step-by-step explanation:


Related Questions

Solve for the missing side length. Round to the nearest tenth.

5.8
5.2
5.4
5.6

Answers

Answer:

C) 5.4

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

Given two legs of a right triangle and we need to find the hypotenuse.

Use Pythagorean theorem:

[tex]PQ = \sqrt{QR^2+PR^2}[/tex][tex]PQ = \sqrt{2^2+5^2} =\sqrt{29} =5.385 = 5.4\ (rounded)[/tex]

The matching choice is C.

What’s the integral of 1/2

Answers

I can’t figure what your asking to solve

PLS HELP NO TROLLING PLS

Answers

The probability that a randomly selected points falls within the red-shaded square is given as follows:

p = 9/16.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The area of the red-shaded square is given as follows:

3² = 9 units².

The total area is given as follows:

4² = 16 units².

Hence the probability that a randomly selected points falls within the red-shaded square is given as follows:

p = 9/16.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

What are the x-intercepts of the quadratic function shown?

Answers

Answer:

if you are asking for an angle it's either 180° or 0°

Answer:

your answer is D. 1,0 & -3,0

Step-by-step explanation:

have a nice day.

Sasha Rudy and Mario each have 1 3/4 cups of flour. Can they make a recipe for bread that needs 5 cups of flour?

Answers

Answer:

Yes

Step-by-step explanation:

1  3/4    x 3   =   7/4 x 3 = 21/4 = 5 1/4 cups

To read a decimal out loud, say the whole number first, if there is one. True or false.​

Answers

Answer:

True.

Step-by-step explanation:

This is because our whole number comes before the tenths, hundereths, etc.

7.043

Please mark brainliest!!

You start at (-1, -2). You move down 3 units. Where do you end?

Answers

You will end up at the point (-1, -5).

We have,

Starting at the point (-1,-2), moving down 3 units means moving 3 units in the negative y-direction.

Now,

The endpoint will have the same x-coordinate as the starting point but a y-coordinate that is 3 less than the starting y-coordinate.

This means,

The endpoint is (-1, -5).

Thus,

You will end up at the point (-1, -5).

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ1

find all solutions of x^2-6x+10=0 express in form a+bi

Answers

the solutions of the equation [tex]x^{2} -6x+10=0[/tex] in terms of a+ib are given by x=3-i and x=3+i.

The given equation is [tex]x^{2} -6x+10=0[/tex]. To find the solution to the equation, we use the quadratic formula.

The expression [tex]ax^{2} +bx+c=0[/tex] is the quadratic equation of the second degree, where a, b, and c are coefficients, then the quadratic formula is given by, [tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex].

Here, [tex]a=1[/tex], [tex]b=-6[/tex], and [tex]c=10[/tex]. Substitute all the values in the above formula, and we get

[tex]$x=\frac{-6\pm\sqrt{(-6)^2-4(1)(10)}}{2(1)}$[/tex]

[tex]$x=\frac{-6\pm\sqrt{36-40}}{2}$[/tex]

[tex]$x=\frac{-6\pm\sqrt{-4}}{2}$[/tex]

The squares of the negative real number give an imaginary unit 'i'.

So, the value of [tex]\sqrt{-4}[/tex] is [tex]2i[/tex]. Then,

[tex]x=\frac{-6\pm2i}{2}[/tex]

[tex]x=\frac{2(3\pm i)}{2}}[/tex]

[tex]x=3\pm i[/tex]

Therefore, the solutions of the equation [tex]x^{2} -6x+10=0[/tex] in terms of a+ib are given by [tex]x=3-i[/tex] and [tex]x=3+i[/tex].

Read more about imaginary unit:

brainly.com/question/13039076

Construct the indicated confidence interval for the population mean u using the t-distribution. Assume the population is normally distributed.
C=0.90, x=13.7, s =3.0, n= 10

Answers

Answer:

Cl = (11.44, 16.96)

Step-by-step explanation:

The formula to calculate the confidence interval for the population mean using the t-distribution is:

CI = x ± t_(α/2, n-1) * (s/√n)

Where CI is the confidence interval, x is the sample mean, s is the sample standard deviation, n is the sample size, t_(α/2, n-1) is the t-value with (n-1) degrees of freedom and a level of significance of α/2.

Given, C = 0.90, n = 10, x = 13.7, and s = 3.0.

The level of significance for a two-tailed test with a confidence level of 0.90 is 1 - C = 1 - 0.90 = 0.10. Therefore, α/2 = 0.10/2 = 0.05.

Using a t-distribution table with 9 degrees of freedom and a probability of 0.05, we find that t_(α/2, n-1) = 2.262.

Substituting the values into the formula, we get:

CI = 13.7 ± 2.262 * (3.0/√10)
= 13.7 ± 2.260
= (11.44, 16.96)

Therefore, the 90% confidence interval for the population mean is (11.44, 16.96).

There are 3 red jelly beans, 5 blue jelly beans, 2 orange jelly beans, and and 5 yellow jelly beans in a bag. Another bag has 1 pink jelly bean, 7 purple jelly beans, and 2 green jelly beans. What is the probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag?


1/15


3/10


7/25


1/4

Answers

The probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is 1/15 (option a).

Firstly, we need to determine the total number of jelly beans in both bags.

The first bag contains 15 jelly beans (3+5+2+5) and the second bag contains 10 jelly beans (1+7+2).

Therefore, the total number of jelly beans in both bags is 25.

Next, we need to determine the probability of randomly selecting a blue jelly bean from the first bag.

Since there are 5 blue jelly beans out of a total of 15 jelly beans in the first bag, the probability of selecting a blue jelly bean is 5/15 or 1/3.

After selecting a blue jelly bean from the first bag, we move on to the second bag to select a green jelly bean.

Since there are 2 green jelly beans out of a total of 10 jelly beans in the second bag, the probability of selecting a green jelly bean is 2/10 or 1/5.

To determine the probability of both events occurring, we use the multiplication rule of probability.

Therefore, the probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is (1/3) x (1/5) = 1/15.

Hence, the answer is option (a) 1/15.

To know more about probability here

https://brainly.com/question/11234923

#SPJ1

I’ll give brainliest what’s the surface area of the triangular pyramid

Answers

Answer:

128.22


Explanation:

A = 6 * 5.2 + 6 * √ (5.2 / 2)² + (8.2)² + 5.2 * √ (6 / 2)² + (8.2)²

A 40% off sale begins today at Wandas women’s warehouse what is the sale price of women’s wool coats normally priced at $250

Answers

Answer: $150

Step-by-step explanation:

250 x 0.60

=$150

GIVE BRAINLIST PLEASE HELP

Answers

Answer:

P = π(11^2)/(22^2) = π/4 = .79 (about 79%)

Which of the following functions has a diagonal asymptote?
O
○ y = x + = 1/3
x+1
x-8
O y=
O y=
(x+4)(x-1)
x(x-7)
1
y ====
O y=
x-5
y = x(x − 3)
x + 2

Answers

y= x+1/x-8  has a diagonal asymptote. Therefore, the correct option is option A among all the given options.

A line that, in analytical geometry, is an asymptote either a curve is one where, when either or both of the x and y coordinates go to infinity, the distance among the curve as well as the line approaches zero. An asymptote on a curve appears a line that is tangential with the curve at an angle at infinity in projection geometry and similar contexts. y= x+1/x-8 has a diagonal asymptote.

Therefore, the correct option is option A.

To know more about asymptote , here:

https://brainly.com/question/17767511

#SPJ1

Find the difference quotient f(x+h) -f(x)/h , where h does not equal 0, for the function below.
f(x)=-3x^2+6x-6

Answers

The difference quotient for the function f(x)=-3x²+6x-6 is -3h+6.

Now, let's move on to finding the difference quotient for the function f(x)=-3x²+6x-6. The difference quotient is a formula used to find the average rate of change of a function between two points.

The formula for the difference quotient is:

f(x+h) - f(x)

So, to find the difference quotient for the function f(x)=-3x²+6x-6, we first need to find f(x+h) and f(x):

f(x+h) = -3(x+h)² + 6(x+h) - 6

= -3(x² + 2xh + h²) + 6x + 6h - 6

= -3x² - 6xh - 3h² + 6x + 6h - 6

f(x) = -3x² + 6x - 6

Now we can plug these values into the difference quotient formula:

f(x+h) - f(x)

= [-3x² - 6xh - 3h² + 6x + 6h - 6] - [-3x² + 6x - 6]

= [-3x² - 6xh - 3h² + 6x + 6h - 6 + 3x² - 6x + 6] / h

= [-3h² + 6h] / h

= -3h + 6

This tells us the average rate of change of the function between x and x+h is -3h+6.

To know more about function here

https://brainly.com/question/28193995

#SPJ1

25. Which statement about the following set
is true?
{60, 5, 18, 20, 37, 37, 11, 90, 72}
A) The median and the mean are equal.
B) The mean is less than the mode.
C) The mode is greater than the median.
D) The median is less than the mean.
E) The mode and the mean are equal.

Answers

The correct statement is,

D) The median is less than the mean.

E) The mode and the mean are equal.

Given that;

Data set is,

⇒ {60, 5, 18, 20, 37, 37, 11, 90, 72}

Hence, We can formulate;

Mean = {60 + 5 + 18 + 20 + 37 + 37 + 11 + 90 + 72} / 9

Mean = 38.89

Arrange data set into ascending order,

⇒ 5, 11, 18, 20, 37, 37, 60, 72, 90

Hence,

Median = (9 + 1)/2

            = 5th term

            = 37

Mode = 37

Thus, The correct statement is,

D) The median is less than the mean.

E) The mode and the mean are equal.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ1

5x-8x+3 simplify the filling expression

Answers

Answer:

5x - 8x + 3 can be simplified as follows:

5x - 8x = -3x (subtract the coefficients of x)

Therefore, the simplified expression is:

-3x + 3

(Hi there, do you like stories? if so, go into my profile for my questions. Read the excerpt and give me feedback if you can)

can some please help with 11 !!!!

Answers

i think the answer is d because the information that was given

what is the slope of the line that contains the points (-2,-20) and (3,30)?

Answers

The slope of the line that contains the points (-2,-20) and (3,30) is 10

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find the slope of the line that contains the points (-2,-20) and (3,30)

Slope= 30-(-20)/3-(-2)

=30+20/3+2

=50/5

=10

Hence, the slope of the line that contains the points (-2,-20) and (3,30) is 10

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ1

Despite having developed a reputation as a good cook, I'm really not one. What I am is a really good recipe follower. I put my trust in real chefs whose recipes are posted here on Recipe Masters. Turns out, though, my trust was misplaced. Sadly, my weekly supper club dinner that featured a Recipe Masters recipe for meatball sub casserole turned into a pizza delivery night. If after reading this review, any of my fellow Recipe Masters subscribers are still set on trying this casserole recipe, here is my advice: Stop after the first step, when the sauce turns into an un-stirrable glob. Don't do as I did and continue on, believing things will improve. They won't. Following this recipe is a recipe for disaster. My advice for Recipe Masters is to ensure that recipes posted here are "tried and true," as advertised. We subscribers pay a fee for access to "top-notch, no-fail recipes." If we lose faith in your recipes, we might just turn to the free recipe sites all over the internet. Which sentence best summarizes the author's point of view about the casserole recipe posted on Recipe Masters?

Answers

The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.

The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.

Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.

To know more about Recipe Masters here

https://brainly.com/question/27897496

#SPJ4

Find the perimeter of the figure below. Show all work for each step. Work should include explanations in words detailing how you simplify each specific radical. Take your time and be thorough. Include units in final answer.

Answers

The perimeter of the rectangle is 22√3 ft

Given that a rectangle with dimension 5√3 ft and 3√12 ft we need to find its perimeter,

So, the perimeter of a rectangle = 2(length + width)

= 2(5√3 + 3√12)

= 2(5√3 + 3√(4×3)

= 2(5√3 + 3×2√3)

= 2(5√3 + 6√3)

= 2(11√3)

= 22√3

Hence the perimeter of the rectangle is 22√3 ft

Learn more about perimeter click;

https://brainly.com/question/6465134

#SPJ1

tan=11/60, cos=60/11, sin=

Answers

[tex]{\boxed{\sf tan\Theta=\dfrac{sin\Theta}{cos\Theta}}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{11}{60}=\dfrac{sin\Theta}{\dfrac{60}{11}}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{11}{60}\times \dfrac{60}{11}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{121}{3600}[/tex]

Please help !!!!!!!!!!! 25 points

Answers

When Cassie Pennicuik says "celebrate the effort," she likely means that it's important to acknowledge and recognize the hard work and dedication that goes into achieving a goal, regardless of whether the outcome is successful or not.

Understanding the statement of Cassie Pennicuik

By celebrating the effort, she's encouraging people to appreciate the journey and process of working towards a goal, and not just focus solely on the end result.

Celebrating the effort can take many forms. Here are some of them:

acknowledging milestones: the progress made towards the goal,recognizing individual: team contributions and efforts of individual,taking time to reflect: reflect on what has been learned and achieved throughout the process.

It's a way to show appreciation and support for the hard work and dedication that goes into pursuing a goal, and to foster a positive and motivating work culture.

Learn more about growth here:

https://brainly.com/question/30611694

#SPJ1

State the coordinates of the point after the reflection across each axis.
1. (5,2)
2. (-6, 12)
3. (2,-7)
4. (-4,-2)
5. (0,-2)
Reflect across
the x-axis
Reflect across
the y-axis

Answers

Answer:

Step-by-step explanation:

Reflecting a point across the x-axis results in changing the sign of the y-coordinate, but keeping the x-coordinate the same. Reflecting a point across the y-axis results in changing the sign of the x-coordinate, but keeping the y-coordinate the same.

Reflecting (5,2) across the x-axis gives (5,-2), and reflecting it across the y-axis gives (-5,2).

Reflecting (-6,12) across the x-axis gives (-6,-12), and reflecting it across the y-axis gives (6,12).

Reflecting (2,-7) across the x-axis gives (2,7), and reflecting it across the y-axis gives (-2,-7).

Reflecting (-4,-2) across the x-axis gives (-4,2), and reflecting it across the y-axis gives (4,-2).

Reflecting (0,-2) across the x-axis gives (0,2), and reflecting it across the y-axis gives (0,-2).

Solve by completing the square.
j² + 14j + 5 = 0
Write your answers as integers, proper or improper fractions in simplest form, or decimals
rounded to the nearest hundredth.
Submit
or j =
=

Answers

Answer:

[tex]j = 7 \pm \sqrt{44}[/tex]

Step-by-step explanation:

First, move the constant term to the other side of the equation.

[tex]j\² + 14j + 5 = 0[/tex]

[tex]j\² + 14j = -5[/tex]

Next, add the coefficient of the first degree j term divided by 2, then squared to both sides.

[tex]j^2 + 14j + (14/2)^2 = -5 + (14/2)^2[/tex]

[tex]j^2 + 14j + (7)^2 = -5 + (7)^2[/tex]

[tex]j^2 + 14j + 49 = -5 + 49[/tex]

[tex]j^2 + 14j + 49 = 44[/tex]

Now, we can factor the left side as a square.

[tex](j+7)(j+7) = 44[/tex]

[tex](j+7)^2 = 44[/tex]

Finally, we can take the square root of both sides to solve for j.

[tex]\sqrt{(j+7)^2} = \sqrt{44[/tex]

[tex]j+7=\pm\sqrt{44}[/tex]

[tex]\boxed{j = 7 \pm \sqrt{44}}[/tex]

Note that there are two solutions, as [tex]\sqrt{44[/tex] could be positive OR negative because of the even root property:

if [tex]x^2 = a^2[/tex],

then [tex]x = \pm a[/tex]

because both [tex](+a)^2[/tex] and [tex](-a)^2[/tex] equal [tex]a^2[/tex].

Help on any of these pls

Answers

Slay the house down boots queen

A fair coin is tossed 8 times. Find the probability it comes up heads at least TWICE. Use nCr!

Answers

The probability of getting at least two heads is 0.965

Given that

Number of times fair coin tossed = 8

Since we know

The probability of getting head  in single toss = 1/2

And  probability of getting tail  in single toss = 1/2

Now, there are 247 combinations to get least two heads (256—1–8=247).

Therefore,

The probability of getting at least two heads

=  247/256 or 0.965…

To learn more about probability visit:

https://brainly.com/question/13604758

#SPJ1

find the value of x°
A.268°
B.108°
C.92°

Answers

Answer:

the answer is C

Step-by-step explanation:

sum of angle in a quadrilateral is 360

so

60+128+80+X=360

X=360-60-128-80

X=92°

A ladder is leaning against a brick chimney as shown in the picture below. The ladder is 25 feet long and is placed 15 fee up on the chimney. In order for the ladder to be stable, its base must be 15 feet or less away from the base of the chimney. Is the current position of the ladder stable?


Yes, the height of the ladder and the distance from the base of the chimney are both 15 feet.

No, the distance of the ladder from the base of the chimney is 20 feet.

Yes, the distance of the ladder from the base of the chimney is 10 feet.

No, the distance of the ladder from the base of the chimney is 40 feet.

Answers

Answer:

No, the distance of the ladder from the base of the chimney is 20 feet.

Step-by-step explanation:

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.

Answers

The statement that could be true for function g b) g(-13) = 20.

Since g has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45, it is possible that g(-13) = 20. The fact that g(0) = -2 and g(-9) = 6 does not provide enough information to determine the value of g at x = -13.

Statement (a) is not possible since g(7) is outside the domain of g. Statement (c) is not possible since g(0) was given as -2. Statement (d) is not possible since -11 is outside the range of g.

Correct Question :

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.

a) g(7) = -1

b) g(-13) = 20

c) g(0) = 2

d) g(-4) = -11

To learn more about function here:

https://brainly.com/question/12431044

#SPJ1

Other Questions
fbi reliance on citizen photographs to catch the boston marathon bombers is an example of ____. why is it important to have optimum binder content in hma? b.) what would happen if a less-than-optimum binder content is used? c.) what would happen if more than the optimum value is used? d.) what is the typical range of binder content in hma? what alkene would give only a ketone with three carbons as a product of oxidative cleavage? Select the correct answer. What are the solutions to this equation? 7x2 28 = 0 A. B. C. D. Having to walk the dog several times a day when it is raining is an example of a: a. Stressor. b. stress response. c. stress disorder. d. psychophysical disorder the development of capitalism involved expanding economic activity worldwide and changing the societies it encountered to facilitate this economic expansion. in a word, this is: Which of the following divides a single physical disk into multiple logical drives called volumes?FragmentationJournalingDefragmentationPartitioning the hair characteristics to assess in a pre-perm analysis are porosity, elasticity, texture and: Analyzing your audience in persuasive messages is important to understand how to __them. a inform b ignore C refute d motivate e agree with a bacterial cell stains positive with the acid-fast stain. which of the following is not true? by the 1920s the term used by titchener for his system of psychology was ____. Traits used to determine relatedness among organisms must __________.A)be very oldB)be rareC)be heritableD)be very common Activated helper T (TH) cells or cytotoxic T (TC) cell clones differentiate into: A. effector cells and plasma cells. B. plasma cells and memory B cells. C. memory B cells and memory T cells. D. effector cells and memory T cells. 0000 a person or entity who has an interest in the outcome of a project is known as a what change would you predict in the solubility og n2(g) in water if the temperature changes from 20c to 80c To what value must R3 be adjusted to balance a Wheatstone bridge if the unknown resistance Rx is 155, R1 is49.549.5, and R2 is175175? The bridge is said to be balanced when the current through the galvanometer (G) is zero. Laura intends to file a Title VII lawsuit against her employer. Which of the following is true? 1. Laura is required to first submit her claim to the Equal Employment Opportunity Commission. 2. If the EEOC determines Laura has no case against her employer, she may not file a lawsuit. 3. Laura must first enter into an agreement to arbitrate her employment dispute. 4. Laura may initiate a lawsuit or file with the EEOC as she so elects. poor supervision is one possible cause of an unfavorable ______ variance. Consider a mixture of soil and water and compare it to a colloid, such as milk. Which property best differentiates these two REALLY NEED HELPWinslow Homer and the Drama of Thermodynamics. American Art 15, no. 1 (2001): 1133. QUESTIONS: 1. What is the author's thesis? 2. What is the context (culture, historical, and social background) of the work of art? 3. What is the content (subject) of the work of art?