Find each of the following probabilities for a normaldistribution.a. p(z > 2.25)b. p(z > −1.20)c. p(z < 0.40)d. p(z < -1.75)
Answers
We need to find the probabilities for each required z-score.
A z-score table shows the probability associated with values less than a specific z-score.
Thus, in order to use a z-score table to solve this problem, we need to notice that the probability that z is greater than a certain number equals the whole probability (1) minus the probability that z is less than that number.
The probability associated with a z-score less than 2.25 is shown above.
We have the table below with some negative z-scores:
Thus, we have:
\(\text{ a. }p\left(z>2.25\right)=1-p(z<2.25)\cong1-0.9878=0.0122\)\(\text{ b. }p\left(z>−1.20\right)=1-p(z<-1.20)\cong1-0.1151=0.8849\)\(\text{ c. }p\left(z<0.40\right)=0.6554\)\(\text{ d. }p\left(z<-1.75\right)=0.0401\)Answers
a. 0.0122
b. 0.8849
c. 0.6554
d. 0.0401
Related Questions
As part of a major renovation at the beginning of the year, Bonham’s Bakery sold shelving units (store fixtures) that were 13 years old for $2,300 cash. The original cost of the shelves was $7,000 and they had been depreciated on a straight-line basis over an estimated useful life of 15 years with an estimated residual value of $1,300.
Record the sale of the shelving units.
Answers
Cash 2300
Accumulated Depreciation 4940
Gain one of fixtures 240
Store fixtures 7000
From the question, we have
Bonham’s Bakery sold shelving units (store fixtures) that were 13 years old for $2,300 cash.
Accumulated Depreciation = (7000-1300)/15*13
=4940
Gain one of fixtures = 240
Store fixtures = 7000
Multiplication:
Mathematicians multiply the numbers in order to calculate the sum of two or more. A fundamental mathematical operation, it is applied frequently in daily life. In order to combine groups of similar sizes, we use multiplication. An illustration of the fundamental concept of repeated addition of the same number is multiplication. The product of two or more numbers refers to the result of the multiplication, and the factors are the amounts that are being multiplied. It is easier to add the same number repeatedly after it has been multiplied.
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PLZ HURRY IM RUNNING OUT OF TIME!!
Answers
Answer:
C-69%
Step-by-step explanation:
36-11=25
25/36=.694~69%
Assume that P(E) = 0.471 and P(F) = 0.595. If E and F are independent, find P(E and F)
Answers
The value of the probability P(E and F) is 0.2802
Independent probabilityEvents are known to be independent if the occurrence of one does not affect the other.
Given the following parameters
P (E) =0.471
P(F) = 0.595
If E and F are independent, then;
P(E and F) = P(E)P(F)
P(E and F) = 0.471 * 0.595
P(E and F) = 0.2802
Hence the value of the probability P(E and F) is 0.2802
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Find an equation of the line passing through the pair of points (3,5) and (6,11). Write the equation in the form Ax+By=C
Answers
Answer: (4,8)
Step-by-step explanation:
18 out of 25 students have a pet. What percent have a pet?
Answers
Answer:
72%
Step-by-step explanation:
18/25 x 4= 72/100
=72%
Answer:
72%
Step-by-step explanation:
To convert fractions into percentages we could change to decimal and then multiply by 100 but it would be easier to just make the fraction's denominator to 100 by finding an equivalent fraction:
18/25 = 18×4/25×4
72/100
So 72% of students have a pet
IF 1 POUND OF RAW SPAGHETTI NOODLES MAKES 5 CUPS OF COOKED SPAGHETTI NOODLES, HOW MANY POUNDS OF RAW SPAGHETTI NOODLES WOULD BE NEEDED TO MAKE 30 CUPS OF COOKED NOODLES
Answers
Answer: 6 pounds
Step-by-step explanation:
If 1 pound of raw spaghetti makes 5 cups of cooked spaghetti, then we can set up a proportion:
1 pound raw spaghetti : 5 cups cooked spaghetti = x pounds raw spaghetti : 30 cups cooked spaghetti
To solve for x, we can cross-multiply and simplify:
1 * 30 = 5 * x
30 = 5x
x = 6
Therefore, 6 pounds of raw spaghetti noodles would be needed to make 30 cups of cooked noodles.
Identify the pairs of corresponding angles and corresponding sides. It may help to rotate the shapes so they are facing the same direction.
Answers
∠J = ∠M = 90°
∠ L = 45°
∠K = 90°+45° =135°
JK/ST = KL/UT = LM/UV = JM/VS = 5/6
6) In circle C, mAB = 72. Find m
a) 72
b) 108
7 Find th
c) 144
Sindr
d) 180
D
72
B (#6)
Please help me question number 6 with the diagram.
Answers
Using the central angle theorem, the measure of angle BCD in the circle given is: b. 108°.
How to Apply the Central Angle Theorem of a Circle?The central angle theorem of a circle states that the measure of a central angle of a circle is equal to the measure of the arc that it cuts off.
In other words, if you know the measure of an arc in a circle, you can find the measure of the central angle that intercepts that arc, and vice versa.
m(BD) = 180 - m(AB)
Substitute:
m(BD) = 180 - 72
m(BD) = 108°
m<BCD = m(BD) [based on the central angle theorem]
Substitute:
m<BCD = 108°
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Which of the following are true about a line in Geometry?
a line can be measured
a line does not have to be straight
a line is named using 3 points (3 letters)
O a line has an arrow on both sides indicating that it goes forever in both directions
a line has an arrow on one side indicating that it goes forever in only that
direction
Submit Answer
Answers
Answer:
a line has arrow on both sides indicating that it goes forever in both directions.
Write the polynomial that has factors of -15 and 3.
Answers
Answer:
Find the GCF of all the terms in the polynomial.
Express each term as a product of the GCF and another factor.
Use the distributive property to factor out the GCF.
Step-by-step explanation:
Now that you have x² - 8x + 16 = 9 + 16, apply the square root property to the equation.
Answers
Answer:
x=−1,−7
Step-by-step explanation:
Answer:
The solutions are {-1, 9}
Step-by-step explanation:
x² - 8x + 16 can be re-written as (x - 4)^2, and 9 + 16 as 25.
Taking the square root of both sides of (x - 4)^2 = 25, we get:
x - 4 = ±5, or:
x = 4 + 5 = 9, and
x = 4 - 5 = -1
The solutions are {-1, 9}
BEST ANSWER WILL BE MARKED BRAINIEST AND AWARDED HIGHEST POINTS\
Give an example of translation symmetry in nature, like when you take a walk outside. (do not use honey hives as an example.)
Answers
One example I've seen many times when I walk in the park, or just outside my house, is the pattern on the back of a moth. Here's an example of one. I hope this helps.
A right rectangular prism's edge lengths are 4.1 inches, 4 inches, and 3 inches. How many unit cubes with edge
lengths of
inch can fit inside the prism?
A)
945 unit cubes
B)
1175 unit cubes
C)
1262 unit cubes
D)
1458 unit cubes
Answers
Answer:
D: 1458 Unit Cubes
2. Big Money Bank has an offer for new customers: if you deposit
$5,000 in a savings account, you will earn 6.5% simple interest
over the first 10 years.
C. At the town savings bank a new customer earns $2950 in simple interest on a $5000 deposit over the first 10 years what rate of interest does that bank pay
Answers
Answer:
We can use the simple interest formula to find the rate of interest that the town savings bank pays:
Simple Interest = Principal x Rate x Time
where Principal is the initial deposit, Rate is the interest rate, and Time is the time period.
We know that the Principal is $5000, the Simple Interest earned over the first 10 years is $2950, and the Time is 10 years. Substituting these values into the formula, we get:
$2950 = $5000 x Rate x 10
Simplifying the equation, we get:
Rate = $2950 / ($5000 x 10)
Rate = 0.059 or 5.9%
Therefore, the town savings bank pays an interest rate of 5.9% on its savings accounts.
The table below
A
3. Circle A has been enlarged to create circle
shows the circumference of both circles.
Circumference
Circle Circumference (inches)
2
5
A
6
A
15
O
1.5
Based on the information in the table, what scale factor was used
9
A
to create circle
?
O
2.5
CLEAR ALL
Answers
Answer:
\(Scale\ Factor = 1.5\)
Step-by-step explanation:
See attachment for proper presentation of question.
From the attachment, we have:
\(A = 7\)
\(A' = 10.5\)
Required
Determine the scale factor
To solve this, simply divide the circumference of A' by that of A.
This gives the scale factor used
i.e.
\(Scale\ Factor = \frac{A'}{A}\)
Substitute values for A and A'
\(Scale\ Factor = \frac{10.5}{7}\)
\(Scale\ Factor = 1.5\)
Hence, the scale factor used is 1.5
Additional Note:
If the given parameters had been the area of A and A', you'll need to first solve for the radius of both circles.
Then determine the scale factor by A'/A
Plz help me well mark brainliest if correct.......??
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
6 x 8 x 3 = 144
have a great day.
What is the domain of the equation?
Answers
The domain of the equation include the following: D. all real numbers.
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
How to identify the domain any graph?In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-∞, ∞] or all real numbers.
Range = [-4, ∞}
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The following show a change of scale made by an architect in one of his drawings. Old: 1 inch = 16 meters. New: 1 inch = 2 meters. Which is the change in scale factor from the old scale to the new scale?
1 to 8
2 to 8
8 to 1
8 to 2
Answers
The change in scale factor from the old scale (1 inch = 16 meters) to the new scale (1 inch = 2 meters) is 1 to 8.
The change in scale factor is the ratio of the new scale to the old scale. In this case, the old scale is 1 inch = 16 meters and the new scale is 1 inch = 2 meters. To find the ratio, we divide the new scale by the old scale, which gives us:
new scale / old scale = 2 meters / 16 meters = 1/8
Therefore, the change in scale factor from the old scale to the new scale is 1 to 8. This means that one unit of measurement on the new scale (1 inch) represents 8 times less than one unit of measurement on the old scale (16 meters). In other words, the new scale is 8 times smaller than the old scale.
A change in scale factor is a way of comparing two different scales by calculating the ratio of the two scales. It is often used in fields such as architecture, engineering, and cartography to create scaled-down or scaled-up versions of objects, plans, or maps. In this case, the architect changed the scale from 1 inch = 16 meters to 1 inch = 2 meters. This means that for every inch on the new drawing, there are 8 inches on the old drawing. This change in scale factor helps to maintain proportion and accuracy in the drawings, as well as to make them easier to read and understand.
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Please help quick!!!!!!!!!!!!!!
Answers
So -250 divided by 50 equals -5
The answers 50
Answer:
The answer is 50
Each month, Braxton uses an average of 8 ounces of lotion. Calculate Braxton's total monthly savings if he purchases the brand that has the lowest price per ounce versus the highest price per ounce.
Brand A: 24 ounces for $3.30
Brand B: 40 ounces for $4.60
a $0.18
b $0.75
с $1.30
d $1.50
Answers
Option a: Broxton have a monthly savings of $0.18 if he purchases the brand that has the lowest price per ounce versus the highest price
Given,
Braxton’s average monthly usage of lotion = 8 ounces
The amount of two different brands of lotion are given:
Brand A: 24 ounces for $3.30
Brand B: 40 ounces for $4.60
We have to find the monthly savings of Braxton if he purchases the brand that has the lowest price per ounce versus the highest price:
We have to calculate amount for one ounce for the two brands given:
Brand A:
24 ounces for $3.30
Amount for one ounce = 3.30/24
Amount for one ounce = $0.1375
Brand B:
40 ounces for $4.60
Amount for one ounce = 4.60/40
Amount for one ounce = $0.115
Now, we have to calculate the amount for 8 ounces.
Brand A:
8 x 0.1375 = 1.1
$1.1 for 8 ounces of Brand A lotion.
Brand B:
8 x 0.115 = 0.92
$0.92 for 8 ounces of Brand B lotion.
Now, we have to calculate the savings:
Brand A – Brand B
1.1 – 0.92 = 0.18
That is, Broxton have a monthly savings of $0.18 if he purchases the brand that has the lowest price per ounce versus the highest price.
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______form refers to a form existing inside of a larger form.
Binary
Strophic
Sonata
Subsidiary
Answers
Prove the following this:The number of left cosets of a subgroup is equal to the number of its right cosets?
Answers
To prove: The number of left cosets of a subgroup is equal to the number of its right cosets.
Proof: Let H be a subgroup of a group G. Let g be an element of G. Consider the map f: H→ gH defined by f(h) = gh for all h in H. We claim that f is a bijection from H to gH.
First, we show that f is injective. Suppose f(h1) = f(h2) for some h1, h2 in H. Then gh1 = gh2, which implies that h1 = h2, by left cancellation law. Therefore, f is injective.
Next, we show that f is surjective. Let gh be an element of gH. Then h is an element of G, since gH is a subset of G. Since H is a subgroup of G, it follows that gh is an element of gH. Therefore, f(h) = gh, which shows that f is surjective.
Hence, f is a bijection from H to gH. Therefore, the number of left cosets of H is equal to the number of right cosets of H.
PLSS HELP
These points are linear.
Find the slope.
X-3 -2 -1 0 1
y-16-8 0 8 16
slope = [?]
Answers
hope this helps
PLS GIVE ME AN EXPLANATION.. BUT NO LINKS...If the diameter of a cylinder is 14 feet and its height is 4 feet, the volume of the cylinder is 2,461.76 square feet. True False
Answers
Answer:
False
Step-by-step explanation:
Answer: False
Step-by-step explanation: Look up cylinder and enter the height and diameter into the calculator and you will see it does not equal 2,461.76 sqaure feet.
Let f be a function such that f(2) ≤ f(x) for all values of x in the interval (0, 3). Does f(2) represent a relative minimum or a relative maximum?
Answers
Answer: f(2) is a relative minimum
This is because f(2) is the lowest y output for any given y = f(x) output on the interval \(0 < x < 3\) which is what the interval notation (0,3) indicates.
Draw out a "parabolic" like shape where the lowest point occurs at (2, f(2)), where f(2) is unknown, but we at least know that x = 2. I put "parabolic" in quotes because it may not be a true parabola, but it looks like one. This lowest point only applies for the neighbor hood \(0 < x < 3\).
HELP PLEASE I REALLY NEED IT!
Answers
Answer:
Step-by-step explanation:
ZTU = 75, since RTS and ZTU are vertical angles, and RTS = 75.
TZU = 43, since TZU and QZX are vertical angles, and QZX = 43.
ZUT = 180 - ZTU - TZU = 180 - 75 - 43 = 62, since triangle ZUT is shown in the diagram, and the sum of its interior angles = 180.
YUW = 180 - 79 - 62 = 39, since TUW is a straight angle, which measures 180 degrees, and angle TUW is the sum of angle ZUY and angle ZUT and angle YUW, by the diagram.
YVU = 180 - ZUY - YUW = 180 - 68 - 39 = 73, since triangle YUV is shown in the diagram, and the sum of its interior angles = 180.
YVW = 180 - YVU = 180 - 73 = 107, since YVW and YVU are supplementary.
PLEASE HELP I WILL MARK BRAINLYIST IF CORRECT The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?
Answers
Last year 300 people attended a play with ticket price of $8. The school estimates that 20 fewer people attend for each $1 increase in price. What ticket price would give the greatest income?
Answers
Answer:
$12
Step-by-step explanation:
If we stuck with the price of $8, then we end with an income of $2400
Increasing it by $1 will decrease attendance by 20
8 x 300 = 2400
9 x 280 = 2520
10 x 260 = 2600
11 x 240 = 2640
12 x 220 = 2640
13 x 200 = 2600
We're starting to go down, so let's stop there
The ticket price of $11 or $12 appears to give the most income
I would stick with $12 since your still getting more money from one ticket
The price of a ticket stick at $12 since you still get more money from one ticket.
What ticket price would give the greatest income?Last year 300 people attended a play with a ticket price of $8.
The school estimates that 20 fewer people attend for each $1 increase in price.
If we keep the price at $8, we'll end up with a $2400 profit.
Increasing it by $1 will result in a 20 percent drop in attendance.
8 × 300 = 2400
9 × 280 = 2520
10 × 260 = 2600
11 × 240 = 2640
12 × 220 = 2640
13 x 200 = 2600
Let's come to a halt here since we're starting to descend.
The $11 or $12 ticket price looks to generate the most revenue.
I'd continue with $12 because you'll still make more money with one ticket.
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Otis measured the heights of several sunflowers. He found that their heights were 1, 4, 6, 9, and 10 feet. Otis found that the mean was 6 feet and the range was 9 feet. Which numbers describe the center and spread of this data set?
Answers
Answer: 6 feet describes the center, and 9 feet describes the spread
Step-by-step explanation:
The center of a data set is mostly considered as the median or the mean
Here mean is 6 (given). And median is also 6. As 6 is exactly at the middle of the data set. (When arranged in ascending order)
Now, one of the way of calculating the spread is calculating the range, here it's given that the range is 9.
Therefore, 6 feet describes the center, and 9 feet describes the spread is correct.
A 24 kg female spayed Labrador Retriever mix presents for a skin exam. You note that the dog
has areas of alopecia and severe pruritus. You perform a skin scrape and are surprised to see a
live Sarcoptes scabiei mite in your field of view. After reviewing the dog's medical history and
the drug options available in your practice, you opt to treat the dog with subcutaneous
ivermectin injections at a dose of 0.3 mg/kg.
You pull the ivermectin bottle from the shelf and see that it has a concentration of 1%. How
much ivermectin do you draw up for this patient? PLEASE SHOW YOUR WORK!
Answers
According to the information we need to draw up 720 ml of ivermectin from the bottle to administer the correct dose to this patient.
How to calculate how much ivermectin do we draw up for this patient?To calculate how much ivermectin do we draw up for this patient we need to calculate the total amount of ivermectin required for this patient.
Dose of ivermectin = 0.3 mg/kgWeight of the dog = 24 kgTotal dose of ivermectin = 0.3 mg/kg x 24 kg = 7.2 mgNext, we need to calculate the volume of ivermectin to administer based on the concentration of the ivermectin solution.
Concentration of ivermectin = 1% or 0.01Let V be the volume of ivermectin to be administered in milliliters (ml).
0.01 x V = 7.2 mgV = 7.2 mg / 0.01 = 720 mlAccording to the above, we need to draw up 720 ml of ivermectin from the bottle to administer the correct dose to this patient.
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