Answer:
64 dimes and 34 quarters.
Step-by-step explanation:
Let d represent the amount of dimes and q represent the amount of quarter Julie has.
She has in total 98 coins. Therefore:
\(d+q=98\)
Each dime is worth 0.10 and each quarter is worth 0.25. Together, they are worth in total $14.90. Therefore:
\(0.1d+0.25q=14.90\)
We have a system of equations. We can solve this using substitution.
First, we can multiply the second equation by 100 to simplify. So:
\(10d+25q=1490\)
From the first equation, we can subtract q from both sides:
\(d=98-q\)
Substitute this into the second equation:
\(10(98-q)+25q=1490\)
Distribute:
\(980-10q+25q=1490\)
Combine like term:
\(15q+980=1490\)
Subtract:
\(15q=510\)
Therefore:
\(q=34\)
So, Julie has 34 quarters.
Returning to our first equation:
\(d+q=98\)
Substitute:
\(d+34=98\)
Therefore:
\(d=64\)
Thus, Julie has 64 dimes and 34 quarters.
Which shows the best estimate of the quotient of 523 divided by 67?
Answer:
7.8
Step-by-step explanation:
The best estimate of the quotient of 523 divided by 67 is 7 and the remainder is 54.
What is division?One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components. It is the basic arithmetic operation, in which you are separating the number into some parts.
Given:
The number 523 divided by 67,
When you first divide the 523 by 67 then the quotient will be 7 and the remainder will be 54.
The above phrase can be written as,
523 ÷ 67 = 67 × 7 + 54
Thus, the quotient is 7 and the reminder is 54.
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the sum of all the angles in a triangle is 180°
65°+20°+x = 180°
85°+x = 180°
x = 95°
hope it helps...!!!
Graph each line given the slope and y-intercept slope 1/3y-intercept=-3
Slope intercept form:
y=mx+b
Where:
m= slope (rise y /run x )
b= y-intercept ( where the line crosses the y- axis )
m=1/3
b= -3
Replacing:
y= 1/3x-3
So, the line crosses the y- axis at y=-3, and since the slope is positive the line increases 1 unit up, by every 3 units to the right along the x axis.
classify each graph as increasing, decreasing, constant
Answer:
3. increasing
4. decreasing
Step-by-step explanation:
well for graph 3 the values are increasing
and for graph 4 the values are decreasing
Somebody please answer quick, will mark whoever is first Brainliest. Select the correct answer from the drop-down menu
The graphed linear equation is
A. 3x - 2y = -12
B. 2x - 3y = -12
C. 3x + 2y = 12
D. 3x + 3y = -12
Answer:
C. 3x + 2y = 12
explanation:
∠A=5x−12 ∘ start color #11accd, angle, A, equals, 5, x, minus, 12, degrees, end color #11accd \qquad \green{\angle B=2x + 24^\circ}∠B=2x+24 ∘
The solution to the variable x is 12 and the measure of ∠B is 48°.
How to solve congruent angles?∠A = 5x−12°
∠B = 2x+24°
Angle A and Angle B are congruent angles.
Congruent angles are angles with the same or equal measures.
So,
∠A = ∠B
5x - 12 = 2x + 24
collect like terms5x - 2x = 24 + 12
3x = 36
divide both sides by 3
x = 36/3
x = 12
So therefore,
∠A = 5x−12°
= 5(12) - 12
= 60 - 12
= 48°
∠B = 2x+24°
= 2(12) + 24
= 24 + 24
= 48°
Therefore, since ∠A and ∠B are congruent, the measure of ∠A and ∠B is 48° respectively.
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ten points are selected on the positive xx-axis,x^ x , and five points are selected on the positive yy-axis,y^ y . the fifty segments connecting the ten points on x^ x to the five points on y^ y are drawn. what is the maximum possible number of points of intersection of these fifty segments that could lie in the interior of the first quadrant?
450 is the maximum possible number of points of intersection of these fifty segments that could lie in the interior of the first quadrant.
What is Line of Intersection?When two or more lines when crossing each other in a same plane, then these lines are called as intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is known as the point of intersection. Point of intersection means the point at which where the two lines intersect each other.
We can pick any two points on the xx-axis and any two points on the yy-axis to form a quadrilateral, and the intersection of its diagonals will thus definitely be inside the first quadrant.
Hence the answer is 10C2 × 5C2 = 450.
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how do you rewrite a expression using the base number only once?
ex. 5^(-2)*5^(-4)*5^(8)
Answer:
5
Step-by-step explanation:
Answer:
Rewrite the expression= 5^2
Step-by-step explanation:
With the same base number of 5, one adds the exponents.
In this case 5^-2*5^-4*5^8 8-6=2 as the exponent
3800 people attended a basketball game. 1026 of the people attending supported the
home team, while 2774 supported the visiting team. What percentage of people
attending supported the home team?
Answer: 27%
Explantion:
1026/3800 =x/100
cross mulitply and get 102600 then divid both sides by 3800.
Answer:
27
Step-by-step explanation:
r
what are you doing right now?
Answer:
Nun u
Step-by-step explanation:
DOING YA MOM
Just kidding, I am eating Chicken Pot Pie while working on my day off (:
Mindy and Troy combined ate 9 pieces of the wedding cake. Mindy ate 3 pieces of cake and Troy had \dfrac14
4
1
start fraction, 1, divided by, 4, end fraction of the total cake.
Answer:
Equation: 3 + 1/4c = 9
24 pieces of cake
Step-by-step explanation:
from khan :))
Shaun's tent (shown below) is a triangular prism.
Answer:
52.8
Step-by-step explanation:
Let's draw a net of the tent.
Hint #22 / 5
333 of the faces are 555 by 333 rectangles.
\begin{aligned} \text{Area of a rectangle} &= \text{length} \cdot \text{width}\\\\ &= 5 \cdot 3\\\\ &= {15} \end{aligned}
Area of a rectangle
=length⋅width
=5⋅3
=15
The total area of these 333 rectangles is 3 \cdot 15 = \blueE{45}3⋅15=453, dot, 15, equals, start color #0c7f99, 45, end color #0c7f99.
Hint #33 / 5
222 of the faces are triangles. Each triangle has the same base and height.
\begin{aligned} \text{Area of a triangle} &= \dfrac12 \cdot \text{base} \cdot \text{height}\\\\ &= \dfrac12 \cdot 3 \cdot 2.6\\\\ &= 3.9 \end{aligned}
Area of a triangle
=
2
1
⋅base⋅height
=
2
1
⋅3⋅2.6
=3.9
The total area of these 222 triangles is 2 \cdot 3.9 = \goldE{7.8}2⋅3.9=7.82, dot, 3, point, 9, equals, start color #a75a05, 7, point, 8, end color #a75a05.
Hint #44 / 5
Let's add the areas we found to find the surface area.
\begin{aligned} \text{Surface area} &= \blueE{45}+ \goldE{7.8} \\\\ &= 52.8 \end{aligned}
Surface area
=45+7.8
=52.8
Hint #55 / 5
The surface area of the tent is 52.8\text{ m}^252.8 m
2
52, point, 8, start text, space, m, end text, squared.
The surface area of the given triangular prism is 52.78 square meters
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
In the given triangular prism
s=a+b+c/2
a = 3, b=3 and c=3
s=9/2
s=4.5
Area of base = √s(s-a)(s-b)(s-c)
=√4.5(4.5-3)(4.5-3)(4.5-3)
=√4.5(1.5)(1.5)(1.5)
=√15.187
=3.89
surface area = A=2A+(a+b+c)h
=2(3.89)+(3+3+3)5
= 52.78 square meters
Hence, the surface of the given triangular prism is 52.78 square meters
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The term-to-term rule of a sequence is multiply by 3
The fourth term of the sequence is 54
Work out the first term of the sequence.
hope it helps
mark me as brainliest please
Geometric sequence
r = 3
U₄ = 54
Uₙ = arⁿ⁻¹
54 = a.3⁴⁻¹
54 = a.3³
a = first term = 2
Which one of the following best defines the notion of the P-value of a hypothesis test? a. The probability of rejecting H_o, whether it's true or not b. The probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true c. The probability of the type I error d. The probability of the type II error
P-value of a hypothesis test is an important measure of the strength of evidence against the null hypothesis and helps us make informed decisions about rejecting or failing to reject the null hypothesis.
A hypothesis test is a statistical method used to test the validity of an assumption or a hypothesis about a population based on a sample data.
The correct answer is b. The P-value of a hypothesis test is the probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true.
In hypothesis testing, we start with a null hypothesis, which is usually denoted as H_0, that represents the status quo or the default assumption. The alternative hypothesis, denoted as H_a, represents the opposite of the null hypothesis.
The P-value is the probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true. A low P-value indicates that the sample data provides strong evidence against the null hypothesis, and we reject the null hypothesis.
A high P-value indicates that the sample data does not provide strong evidence against the null hypothesis, and we fail to reject the null hypothesis.
In mathematical terms, the P-value is calculated as the probability of observing a test statistic Z that is more extreme than the one actually obtained, assuming the null hypothesis is true.
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How many symmetry does maple leaf have
Only one Line.........
What is the volume of this solid? use 3.14 for pi. responses 37.68 cm³ 37.68 cm³ 138.16 cm³ 138.16 cm³ 169.56 cm³ 169.56 cm³ 207.24 cm³
The volume of the solid is 207.23 cm³.
Volume of the Solid:
Volume is the area occupied by an object/matter (solid, liquid, gas) within a 3D object. Alternatively, the volume of a three-dimensional object is generally defined as the capacity of the object that matter can hold.
For example, the volume of a cubic box indicates how much water or other substance it can contain. For ice cream cups, the amount of ice cream that can fit in the cup without gaps corresponds to the volume of the ice cream cup.
Now, based on the question:
Volume of Solid = Volume of Cylinder + Volume of Cone
Volume of Cylinder = πr²h
v= 3.14 * (3)² * 6
v = 169.56
Volume Of Cone:
Cone volume defines the space or volume of the cone. A cone is a three-dimensional geometric shape with a circular base that tapers from a flat base to a point called an apex or vertex. A cone is formed by a series of line segments, half-lines, or lines connecting vertices that are common to all points on the base in a plane that does not contain vertices. A cone can be thought of as a series of noncongruent disks that overlap each other such that the ratios of the radii of adjacent disks are kept constant.
We know that :
Volume of Cone = πr² h/3
v = 3.14 * (3)² * 4/3
v = 37.7
Now,
Volume of Solid = 169.56 + 37.7
= 207.26 cm³
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Are the ratios 1:2 and 14:26 equivalent
1:2 and 14:26 are not equivalent!
Determine if the two triangles are congruent. If they are, state how you
know.
1)
A) Not enough information
B) ASA
C) HL
D) SAS
Which scatter plot represents the data shown in the table?
The diagram of the scatter plot is given in the attached image below.
What is a linear function?The graph of a linear function is a straight line. The following is the form of a linear function.
a + bx = y = f(x).
One independent variable and one dependent variable make up a linear function. x and y are the independent and dependent variables, respectively.
The data are shown in the table below:
x y
4 1
5.5 2
7.5 3
9 4
11 5
14 6
From the given choices:
the last diagram of the scatter plot is given in the attached image.
Hence, the scatter plot is given below.
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is there evidence of a negative correlation between systolic blood pressure and heart rate? in a sample of 200 patients, we found a sample correlation of -0.057.
There is evidence of a negative correlation between systolic blood pressure and heart rate because the sample correlation is -0.057. This value indicates that there is a small negative correlation between systolic blood pressure and heart rate.
There is evidence of a negative correlation between systolic blood pressure and heart rate. In a sample of 200 patients, a sample correlation of -0.057 was found. Correlation is a statistical measure used to assess the degree to which two variables are related to one another. A correlation coefficient ranging from -1 to 1 is used to represent this relationship. A negative correlation exists when two variables move in opposite directions.
It means that as one variable increases, the other variable decreases or vice versa.In the given case, there is evidence of a negative correlation between systolic blood pressure and heart rate because the sample correlation is -0.057. This value indicates that there is a small negative correlation between systolic blood pressure and heart rate. Systolic blood pressure is the amount of pressure exerted by blood against the walls of the arteries when the heart pumps. It is the top number in a blood pressure reading.
When your heart beats and pushes blood out, the systolic pressure is created.Heart rate is the number of times your heart beats per minute. It is also known as the pulse rate. It represents the number of times your heart contracts and relaxes with each heartbeat.
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What is the slope of this line?
Answer:
3
Step-by-step explanation:
The slope is rise/run and for this case, it is 3/1 which equals 3!!!
Which statement must be true
None of the statements a, b, c, or d can be determined to be true based solely on x ⇒ y and y ⇒ z.
Given that x ⇒ y and y ⇒ z, we can determine the valid implication between x and z.
To evaluate the possible truth values, let's consider the following cases:
If x is true and y is true:
Since x ⇒ y, the implication holds.
If y ⇒ z, the implication holds.
Therefore, z can be true in this case.
If x is true and y is false:
Since x ⇒ y, the implication does not hold.
The truth value of y ⇒ z is not relevant in this case.
Therefore, we cannot determine the truth value of z.
If x is false:
Since x ⇒ y, the implication holds vacuously, regardless of the truth value of y.
The truth value of y ⇒ z is not relevant in this case.
Therefore, we cannot determine the truth value of z.
Based on the above analysis, we cannot definitively conclude the truth value of z from the given information. Therefore, none of the statements a, b, c, or d can be determined to be true based solely on x ⇒ y and y ⇒ z.
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Use the Venn diagram to calculate probabilities.
Circles A, B, and C overlap. Circle A contains 12, circle B contains 11, and circle C contains 4. The overlap of A and B contains 5, the overlap of B and C contains 3, and the overlap of C and A contains 6. The overlap of the 3 circles contains 8.
Which probabilities are correct? Select two options.
In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.
The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.
We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.
The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).
This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.
Therefore, the correct probabilities are:1.
The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.
The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3
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Roger ran eight laps around a ¼ mile track during PE on Monday.How many feet did Roger run in completing eight laps
Answer:
10560 feet
Step-by-step explanation:
you're welcome :)
A spinner with five equal-sized sections numbered 1 through 5 is shown. The spinner is spun twice and the product of the numbers in the sections where the arrow lands is calculated. What is the probability that the product of the numbers is even?
A.)1/16
B.)4/25
C.)1/2
D.)16/25
Answer: The Answer is D.) 16/25
Step-by-step explanation: I got it correct on Study Island
Laura Russo lost her earnings statement from Siler's Lawn
and Garden. She recalls paying $43.00 in federal income taxes and
knows she deposited $306.36 in her checking account. Each week she
had deductions for Social Security and Medicare taxes; $22.35 for
medical insurance; 1.5% state tax; 1.5% local tax; and $25.00 for the
credit union. What is her gross weekly pay?
Employee's gross pay is their salary before any payroll deductions such as taxes, benefits, and other expenses are made.
Her goss weekly pay is $409.13.
How to find her gross weekly pay?
Before taxes, benefits, and other payroll deductions are deducted, an employee's gross pay is what they are paid.
Net pay, often known as take-home pay, is the sum that is left over after all deductions have been taken into consideration.
Federal income tax:
306.36+ 43 = 349.36
Medical insurance:
349.36 + 22.35 = 371.71
Credit union:
371.71 + 25 = 396.71
State tax:
396.71 increased by 1.5% is 396.71 * (1.015) = 402.66
Local tax:
402.66 increased by 1.5% is 402.66 * (1.015)= 409.13
Her goss weekly pay is $409.13.
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i flip a coin 40 times. what is the expected number of pairs of consecutive tosses that comes up heads?
Answer:
20
Step-by-step explanation:
because you have a 50 % 50% shot of getting either.
Answer:
20
Step-by-step explanation:
Find the areas of the sectors formed by ∠DFE. Round your answers to the nearest hundredth.
Answer:
Area of the sector in red = 177.87 cm²
Area of the sector in blue = 437. cm²
Step-by-step explanation:
Area of the sector = \(\frac{\theta}{360}(\pi )(r)^2\)
Area of the sector shaded in blue = \(\frac{256}{360}(\pi )(14)^2\)
= 437.87 cm²
Central angle formed by sector shaded in red = 360 - 256 = 104°
Area of the sector shaded in red = \(\frac{104}{360}(\pi )(14)^2\)
= 177.884
≈ 177.88 cm²
Therefore, area of the sector shaded in red = 177.87 cm² and area of the sector in blue = 437.88 cm²
A variable of a population has a mean of μ=300 and a standard deviation of σ=28
a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean and standard deviation .
b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration?
A. Uniform distribution.
B. No assumption was made.
C. Normal distribution.
c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not?
A. No, the sampling distribution of the sample mean is never normal for sample size less than 30.
B. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true.
C. Yes, the sampling distribution of the sample mean is always normal.
a) The sampling distribution of the sample mean has mean μ=300 and standard deviation is 4.
b)Normal distribution.
c)No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true.The correct answer is B.
a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with a mean (μ) of 300 and a standard deviation (σ) of 28/√49 (which is 28/7 or 4).
b. For part (a) to be true, the assumption made about the distribution of the variable under consideration is C. Normal distribution.
c. The statement in part (a) is still true if the sample size is 16 instead of 49 because of the Central Limit Theorem. However, the standard deviation will change.
The correct answer is B. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true.
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What is 50=5/9(F-32)
Answer: F=122
Step-by-step explanation:
Answer:
f= 122
Step-by-step explanation: