answer is
5(-1) = -5 +23 = 18
QUESTION FOR FOR LIH04
If Jimmy drove 300 miles at a rate of 50 miles per hour, find the number of hours Jimmy traveled.
Answer:
He drove 6 hours.
Step-by-step explanation:
distance = rate times time
300 = 50t Divide both sides by 50
t = 6
Solve the right triangle table
The measure of the angle m∠B is equal to 41°. Using the sine rule the lengths of a and b are 9.6 and 8.3 respectively.
What is the sine ruleThe sine rule is a relationship between the size of an angle in a triangle and the opposing side.
We shall first evaluate for the angle m∠B as follows:
m∠A + m∠B + m∠C = 180° {sum of interior angles of a triangle}
49° + B + 90° = 180°
B + 139° = 180°
B = 180° - 139° {subtract 139° from both sides}
m∠B = 41°
12.7/sin90° = a/sin41
a = (12.7 × sin49)/sin90° {cross multiplication}
a = 9.5848
12.7/sin90° = b/sin49
b = (12.7 × sin49)/sin90 {cross multiplication}
b = 8.3319
Therefore, the measure of the angle m∠B is equal to 41°. Using the sine rule the lengths of a and b are 9.6 and 8.3 respectively.
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ZE and LF are complementary. The measure of ZE is 54° more than the measure of F. Find the measure of each angle.
The value of ZE angle is 72 degree and LF is 18 degree.
Complementary and supplementary angles are defined as the addition of two angles. If the sum of two angles is 180 degrees, one is a complementary angle and together they form a linear angle. When the sum of two angles is 90 degrees, they are called complementary angles and together form a right angle.
ZE and LF are complementary. The measure of ZE is 54° more than the measure of LF.
let ZE angle value is x
and ZE is 54 degree more than LF
LF + 54 = ZE degree
When the sum of two angles is equal to 90 degrees, they are called complementary angles.
LF +ZE = 90 degree
x+x-54 = 90
2x = 36
x = 18
so ZE angle = 72 degree and LF is 18 degree
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If £31 = 500 rubles how many £ are in 992 rubles ? Give answer to 2 dp
Answer:
61.504
Step-by-step explanation:
Answer:
There are £61.50 in 992
Step-by-step explanation:
Here, we shall be doing some currency conversions.Now, £31 = 500 rublesThen;£x = 992 rubles To get c, what we do is simply cross multiply £x * 500 rubles = £31 * 992 rubles £x = (£31 * 992 rubles)/500 rubles £x = £61.504which is £61.50 to two decimal places
hope this helps!!
when running Chao has a stride length of 70cm,correct to the nearet 5cm.
Chao runs a distance of 11.2 km, correct to the nearest 0.1km
work out the minumum number of stride that Chao could take to complete this distance
The minimum number of strides that Chao could take to complete a distance of 11.2 km is approximately 16,000.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
To calculate the minimum number of strides that Chao could take to complete a distance of 11.2 km, we need to first convert the distance to meters since the stride length is given in centimeters.
11.2 km = 11,200 meters (1 km = 1000 meters)
Stride length in meters = 70 cm / 100 cm/m = 0.7 m
Now, we can calculate the minimum number of strides as follows,
Minimum number of strides = (Distance covered in meters) / (Stride length in meters)
Minimum number of strides = 11,200 m / 0.7 m ≈ 16,000
Therefore, the minimum number of strides that Chao could take to complete a distance of 11.2 km is approximately 16,000.
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The ratio of oxygen atoms to sulfur
atoms in sulfur dioxide is always the same.
The table shows the numbers of atoms
in different quantities of sulfur dioxide.
Complete the table. (Explore Activity 1)
The complete table is
Sulfur atoms 6 9 12 27
Oxygen atoms 12 18 24 54
What are Ratios:
A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other.
A ratio can be compared by the division of two numbers. For example, the ratio of a and b can be represented as a: b and read as a is to b. Here a: b can be written as a/b
Here we have
The ratio of oxygen atoms to sulfur atoms in sulfur dioxide is always the same. The table shows the number of atoms in different quantities of sulfur dioxide.
The given table is
Sulfur atoms 6 9 12 ___
Oxygen atoms 12 __ ___ 54
Let x, y, and z be the missing values in the table
Given that ratio of oxygen atoms to sulfur atoms in sulfur dioxide is always the same.
=> 12/6 = x/9 = y/12 = 54/z
Now the x, y, and z values can be calculated as follows
Take 12/6 = x/9
=> 2 = x/9
=> x = 18
Take 12/6 = y/12
=> 2 = y/12
=> y = 24
Take 12/6 = 54/z
=> 2 = 54/z
=> z = 54/2
=> z = 27
Therefore,
The complete table is
Sulfur atoms 6 9 12 27
Oxygen atoms 12 18 24 54
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The complete Question is given in the picture
Deshaun rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 80 cents for each mile driven. Deshaun had to pay $250.55 when he returned the truck. For how many miles did he drive the truck?
Answer:
287 miles
Step-by-step explanation:
20.95+ .80x =250.55
250.55-20.95=229.6
.80x=229.6
229.6/.80=x
x=287 miles
The second smallest number that has 1,2,3,4 and 5 in them
12354 is the second smallest number that contains the digits 1, 2, 3, 4 and 5 in that order. It can be used in a variety of ways, such as counting, addition, subtraction, multiplication and division, as well as to represent dates and times.
The second smallest number that has 1,2,3,4 and 5 in them is 12354. This number is made up of the digits 1, 2, 3, 4, and 5 in that order. It is the second smallest number because the smallest number that contains these digits is 12345.
To form this number, we start by arranging the digits in descending order, from the largest to the smallest, 5, 4, 3, 2 and 1. We then combine the digits together to form 12354.
12354 is the second smallest number because it contains all the digits 1, 2, 3, 4 and 5 in that order. This number can be used in different ways, such as counting, addition, subtraction, multiplication and division. For example, 12354 divided by 4 equals 3088.75.
The number 12354 can also be used in other ways, such as to represent a date or time. For example, the number 12354 can represent the date 12/3/54, which is December 3, 1954.
In conclusion, 12354 is the second smallest number that contains the digits 1, 2, 3, 4 and 5 in that order. It can be used in a variety of ways, such as counting, addition, subtraction, multiplication and division, as well as to represent dates and times.
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our company markets a computerized device for detecting high blood pressure. The device measures an individual’s blood pressure once per hour at a randomly selected time throughout a 12-hour period. Then it calculates the mean systolic (top number) pressure for the sample of measurements. Based on the sample results, the device determines whether there is significant evidence that the individual’s actual mean systolic pressure is greater than 130. If so, it recommends that the person seek medical attention.
(a) State appropriate null and alternative hypotheses in this setting. Be sure to define your parameter.
(b) Describe a Type I and a Type II error, and explain the consequences of each.
(c) The blood pressure device can be adjusted to decrease one error probability at the cost of an increase in the other error probability. Which error probability would you choose to make smaller, and why?i
What is Null hypothesis?
The null hypothesis assumes that any difference between the selected attributes in a set of data is attributable to chance. For example, if the predicted earnings for the gambling game are genuinely zero, then any discrepancy between the data's average earnings and zero is due to chance.
(a) The appropriate null and alternative hypotheses for this setting are:
Null hypothesis: The actual mean systolic pressure (μ) of the individual is not greater than 130 (μ ≤ 130).
Alternative hypothesis: The actual mean systolic pressure (μ) of the individual is greater than 130 (μ > 130).
(b) Type I error occurs when the null hypothesis is rejected when it is actually true. In this case, it means that the device recommends that the person seeks medical attention when they do not actually need it. The consequence of this error is that the person may undergo unnecessary medical tests or treatments, which can be costly, time-consuming, and can cause anxiety or other negative effects.
Type II error occurs when the null hypothesis is not rejected when it is actually false. In this case, it means that the device does not recommend medical attention when the person actually needs it. The consequence of this error is that the person may not receive the necessary medical attention and treatment, which can lead to serious health problems, including organ damage or failure, stroke, or heart attack.
(c) In this scenario, the cost of making a Type II error is likely to be much higher than the cost of making a Type I error. The reason is that failing to detect high blood pressure in a person can have serious health consequences. Therefore, it is better to make the Type I error probability smaller and the Type II error probability larger. This means that the device should be adjusted to have a higher threshold for recommending medical attention, which would decrease the likelihood of a false alarm, even if it increases the likelihood of missing some cases where medical attention is needed.
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The initial assertion that forms the null hypothesis frequently rests on research from the past or expert knowledge. According to the alternative hypothesis, a population parameter is either less, larger, or different from the value predicted by the null hypothesis.
What are the distinctions between Type I and Type II errors and what impact do they have?A type I error (false-positive) occurs when a researcher rejects a null hypothesis that is actually true in the population; if the researcher does not do this When a null hypothesis is rejected even when it is false in the population, this is known as a type II error (false-negative).
What does a hypothesis parameter mean?Parameter Hypothesis testing is a second sort of statistical inference.
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I need help
I'm confused
According to the information, the number sequences would go as follows: arithmetic: 1, 9, 17, 25, 33...; 83, 84, 85, 86, 87... Geometric: 6, 24, 96, 384, 1536...; 1, 6, 36, 216, 1296...; 7, 14, 28, 56, 112...; neither: 4, 9, 16, 25, 36...; 1, 1, 2, 3, 5, 8, 13,...
How to identify the sequences that belong to each category?To identify the sequences that belong to each category, we must take into account the difference between a geometric sequence and an arithmetic sequence. In the case of geometric sequences, they are those sequences made up of numbers that are the result of multiplying the first number by a common factor.
On the other hand, arithmetic sequences are those that are made up of numbers that differ from the previous and the following number by a fixed amount. According to the above, the values would be classified as follows:
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Aldo debe escoger una camisa y un par de pantalones para su atuendo de hoy. Puede escoger entre 2 camisas y 3 pares
de pantalones. ¿Cuántos diferentes atuendos puede crear?
The number of different outfits that Aldo can create from the shirts and the pairs of pants are 6 outfits.
How to find the number of outfits ?In this case, Aldo has 2 options for his shirt and 3 options for his pants. To find the total number of outfits, we can multiply these numbers together:
= Number of shirts x Number of pairs of pants
= 2 x 3
= 6 outfits
Therefore, Aldo can create 6 different outfits by choosing a shirt and a pair of pants from the available options.
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3 Hassan recorded the number of people in 60 passing cars.
Here are his results. Find:
a the missing frequency
b the modal number of people in a car
c the median
d the mean.
a) The missing frequency is 20
b) The modal number of people in a car is 1
c) The median is 3
d) The mean is 0.95
The sum of the frequencies must be 60.
The missing frequency by subtracting the sum of the other frequencies from 60
60 - (28 + 3 + 7 + 1 + 1) = 20
To find the median, we need to arrange the data in order from smallest to largest:
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 6
There are 60 numbers in total, so the median is the average of the 30th and 31st numbers:
median = (3 + 3)/2 = 3
The mode is the value with the highest frequency, which is 1.
mean = (1 x 28 + 2 x 20 + 3 x 3 + 4 x 7 + 5 x 1 + 6 x 1) / 60
= (28 + 40 + 9 + 28 + 5 + 6) / 60
= 0.95
Therefore, the missing frequency, mode, median and mean has been found
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The given question is incomplete, the complete question is
Hassan recorded the number of people in 60 passing cars
people 1 2 3 4 5 6
frequency 28 ? 3 7 1 1
a)find the missing frequency
b)median
c)modal
d)mean
write the fraction in simplest form.
25/50
Answer:
25/50
will equal to 1/2
What is the measurement of this angle? 60 degrees 120 degrees
The measure of angle DBC is 60 degrees
Any triangle's three angles always sum to 180 degrees. Therefore, if you only have two angles available, add them up, and then take 180 away from the result.
The computation of the measure of angle ABC is shown below:
Given that
Angle ABC is 120 degrees
And, the measure of angle BAC is 60 degrees
So based on the above information
The measure of angle is
= Angle ABC - Angle ABD
= 120 degrees - 60 degrees
= 60 degrees
hence, the measure of angle DBC is 60 degrees
Q - Angle ABC is equal to 120 degrees. The measure of angle ABD is 60 degrees. What is the measure of angle DBC?
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After their soccer game, Mark and his friends eat at their favorite restaurant, the Dancing Meatball. When the bill comes, they divide the cost of a meatball pizza evenly among 5 people. Each person pays $3.25. Which equation can you use to find the cost c of the pizza?
The brass section of a middle school jazz band has 4 trumpets and 3 trombones.
What is the ratio of trombones to all the brass section members?
A. 7/3, 7:3, or 7 to 3
B. 4/7, 4:7, or 4 to 7
C. 4/3, 4:3, or 4 to 3
D. 3/7 , 3:7, or 3 to 7
Answer:
D. 3/7, 3:7, or 3 to 7
Step-by-step explanation:
for each pair of number, determine by what percent the second number is greater than the first. also determined by what percent the first number is less than the second 5 and 10
To get by what percent the second number (10) is greater than the first number (5), we can use the following formula:
percent increase = ((new value - old value) / old value) x 100%
So, for the pair of numbers 5 and 10:
percent increase = ((10 - 5) / 5) x 100% = 100%
This means that 10 is 100% greater than 5.
To determine by what percent the first number (5) is less than the second number (10), we can use the following formula:
percent decrease = ((old value - new value) / old value) x 100%
So, for the pair of numbers 5 and 10:
percent decrease = ((10 - 5) / 10) x 100% = 50%
This means that 5 is 50% less than 10.
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4 less than the product of 7 and a number.
Answer:
7n - 4
Step-by-step explanation:
Solve the right triangle
Answer:
AC = 1.5 cmA = 61°B = 29°Step-by-step explanation:
You want the missing side and the angles for the right triangle with leg BC = 2.7 cm and hypotenuse AB = 3.1 cm.
CosineThe cosine of angle B is given by ...
Cos = Adjacent/Hypotenuse
cos(B) = CB/AB = 2.7/3.1
Then the angle is ...
B = arccos(2.7/3.1) ≈ 29.429°
B ≈ 29°
Angle A is the complement of angle B:
A = 90° -29°
A = 61°
SineThe sine ratio is ...
Sin = Opposite/Hypotenuse
Then side AC can be found from ...
sin(B) = AC/AB
AC = AB·sin(B) = 3.1·sin(29.429°) ≈ 1.523
AC ≈ 1.5 . . . . cm
The triangle solution is ...
A = 61°B = 29°AC = 1.5 cm__
Additional comment
The mnemonic SOH CAH TOA is intended to help you remember the trig ratios above, in addition to ...
Tan = Opposite/Adjacent
data with 860 observations are drawn from a bell-shaped distribution with a mean of 76 and a standard deviation of 18. approximately how many observations are more than 112? (round your answer to the nearest whole number.)
In the given case where 860 observations are drawn from a bell-shaped distribution, there are 2 observations of more than 112.
Total number of observations = 860
Mean of the observations = 76
Standard deviation = 18
The amount of standard deviations by which the value of a raw score differs from or differs above the mean value of what is observed or measured is known as the z score or standard score in the z test. The z-score calculates how far an X-score deviates from the mean by standard deviations. Calculating the observations utilizing the Z- score -
Z = X - u/a
Calculating the observations -
Where X = 112 u = 76 and a = 18
Z = 112 - 76/18
= 36/18
= 2
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The cost of producing a chocolate bar that sells for $1.50 is 60c. Calculate the profit
made on a bar of chocolate as a percentage of the production cost of a bar of chocolate.
Percentage profit on a chocolate bar is 150%
What is percentage profit?Profit percentage is a top-level and the most common tool to measure the profitability of a business. It measures the ability of the firm to convert sales into profits. i.e., 20% means the firm has generated a net profit of $20 for every $100 sale.
%profit = (selling price - cost price)/cost price × 100
%profit =( 1.50-0.6)/0.6 × 100
%profit = 0.9/0.6 × 100
= 1.5 × 100
= 150 %
therefore the percentage profit on a chocolate bar is 150%
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Fill in the missing term and select the
missing description. Simplify any fractions.
6(a + 2)
a + 2 =3
a =
Subtract 2 from both side
The value of a in the equation a + 2 = 3 is 1.
How to calculate the valueAn equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
It is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign.
a + 2 = 3
Subtract 2 from both sides
a + 2 - 2 = 3 - 2
a = 1
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question 13
help me asap
Answer:
AC = 16 cm
Step-by-step explanation:
given a tangent and a secant from an external point to the circle, then
the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant, that is
AB × AC = AD²
4x = 8² = 64 ( divide both sides by 4 )
x = AC = 16 cm
Answer:
16 cm
Step-by-step explanation:
tan/sec Theorem
a² = b(b+c)
8² = 4(4+c)
64 = 16 + 4c
48 = 4c
12 = c
12 + 4 = 16 cm
Can anybody answer the question I attached?
Answer:
36 bottles
Step-by-step explanation:
You want to know the number of bottles that must be painted and sold in order to make a profit of $120, given that 3 bottles can be purchased for $11, and each bottle can be sold for $7.
ProfitThe profit on each bottle is the difference between its cost and what it is sold for. The cost of 1 bottle is 1/3 of the cost of 3 bottles.
profit = selling price - purchase price
profit = $7/bottle - ($11/(3 bottles)) = $(21/3 -11/3)/bottle = $(10/3)/bottle
BottlesTo make a profit of $120, you need n bottles such that ...
(10/3)n = 120
n = 36 . . . . . . . . . multiply by 3/10
The club needs to buy, paint, and sell 36 bottles to raise $120.
A 6 ft. 2 in. tall man is standing next to a tree that is 20 ft. tall and casts a 14 ft. shadow. How long is the shadow of the man? Do not include units. (Answer in inches)
Answer: 168 in.
Step-by-step explanation:
Feet to inches:
14ft = 168 in.
or
12 x 14 = 168.
Answer: 4 ft 3.8 inches
Step-by-step explanation:
First I converted the measurements to inches to make it easier-
Man - 74in
Tree - 240in
Tree shadow - 168in
240/168 = 74/x
x=51.8
the density of zinc is 7.13 g/cm3. calculate the probability that a density measurement of the post-1982 pennies made using the caliper method is within 5% of the density of zinc. use the caliper data for the entire lab session to perform your calculation, and assume that the data fits a normal distribution.
As per the density the probability that a density measurement of the post-1982 pennies is 0.3565 g/cm3.
Density is an important physical property that can help identify materials. In this case, we are interested in the density of zinc and how it relates to the post-1982 pennies.
To calculate the probability of a density measurement within 5% of the density of zinc, we need to first determine the range of densities that fall within 5% of the zinc density.
The 5% range of the zinc density is calculated by multiplying the zinc density (7.13 g/cm3) by 5% (0.05), which gives us 0.3565 g/cm3.
The upper and lower limits of this range are then calculated by adding and subtracting this value from the zinc density, respectively.
The upper limit is 7.4865 g/cm3 (7.13 + 0.3565),
while the lower limit is 6.7735 g/cm3 (7.13 - 0.3565).
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PLEASE HELP!
Mrs. Harris is in the 20% income tax bracket. Last year, her taxable income was $75,400. How much did she need to pay in taxes?
A. $1,508
B. $15,080
C. $60,320
D. $73,892
Answer: B: 15,080
Step-by-step explanation:
Alright, let's convert 20% into a decimal: 0.20
Then multiply 0.20 x 75,400 which gets you to 15080
So she needed to pay $15,080 in taxes
Find A-¹, if A =
23
32
Given the matrix, [tex]\begin{bmatrix}2 & 3 \\3 & 2 \end{bmatrix}[/tex], find its inverse.
First we need to find its determinant which can be done by using the following formula,
[tex]det=\begin{bmatrix}a & b \\c & d \end{bmatrix}=ad-cb[/tex]
Lets call [tex]\begin{bmatrix}2 & 3 \\3 & 2 \end{bmatrix}[/tex] matrix "A."
So,
[tex]detA=(2)(2)-(3)(3)[/tex]
[tex]\Longrightarrow detA=4-9[/tex]
[tex]\Longrightarrow detA=-5[/tex]
We now have the determinant, we can now use the following formula to determine the inverse matrix,
[tex]A^{-1} =\frac{1}{detA} \begin{bmatrix}d & -b \\-c & a \end{bmatrix}[/tex]
[tex]A^{-1} =-\frac{1}{5} \begin{bmatrix}2 & -3 \\-3 & 2 \end{bmatrix}[/tex]
[tex]\Longrightarrow A^{-1} = \begin{bmatrix}2(-\frac{1}{5}) & -3(-\frac{1}{5}) \\-3(-\frac{1}{5}) & 2(-\frac{1}{5}) \end{bmatrix}[/tex]
[tex]\Longrightarrow A^{-1} = \begin{bmatrix}-\frac{2}{5} & \frac{3}{5} \\\frac{3}{5} & -\frac{2}{5}\end{bmatrix} \therefore \ Sol.[/tex]
*Note* I went a few more steps than the question needed. If you back up two steps on my answer is where they stopped. The last option is correct.
2) Jane wants to buy some compost. Both Suttons Shop and Greens Garden Shop sell compost. Suttons Shop Bags of compost 20 litres £2.25 each bag £3.25 for 2 bags Jane needs 140 litres of compost. She wants to buy all the compost from the same shop. She wants to buy the compost as cheaply as possible. Which shop should Jane buy the compost from? You must show all your working. Greens Garden Shop Bags of compost 70 litres £4.99 each bag
The cheapest option for Jane is to buy from Suttons Shop, as the total cost is £12, whereas, at Greens Garden Shop, the total cost is £9.98.
To determine the cheapest option, we need to calculate the cost of purchasing 140 liters of compost from each shop.
First, we'll calculate the cost at Suttons Shop:
Jane needs 140 liters of compost, so she needs 140 / 20 = 7 bags of compost.
If she buys 1 bag of compost, it will cost her £2.25.
If she buys 2 bags of compost, it will cost her £3.25.
Since she needs 7 bags of compost, she can buy 3 sets of 2 bags (6 bags) and 1 bag.
So the cost of 6 bags will be 3.25 x 3 = £9.75, and the cost of 1 bag will be 2.25.
The total cost of 7 bags at Suttons Shop will be 9.75 + 2.25 = £12.
Next, we'll calculate the cost at Greens Garden Shop:
Jane needs 140 liters of compost, so she needs 140 / 70 = 2 bags of compost.
Each bag at Greens Garden Shop costs £4.99.
So the total cost of 2 bags at Greens Garden Shop will be 4.99 x 2 = £9.98.
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