Answer:
(14)78.54
(15)55.42
(16)
Step-by-step explanation:
Find the measure of the following angles given m<1 =130° and m<14=65°
Answer:
m<8 = 130
m<6 = 130
m<7 = 50
m<11 = 65
m<15 = 65
m<10 = 65
Step-by-step explanation:
5th grade math. correct answer will be marked brainliest.
Answer:
1 7/30
Step-by-step explanation:
3 - (1 1/6 + 3/5) =
3 - (1 5/30 + 18/30) =
3 - 1 23/30 =
1 7/30
Hope that helps!
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1. If each spinner is spun once, what is the probability that both spinners show the same color?
2. If each spinner is spun once, what is the probability of getting a red-blue combination?
Answer:
\(\sf 1. \quad \dfrac{3}{8}\)
\(\sf 2. \quad \dfrac{7}{24}\)
Step-by-step explanation:
Spinner 1Spinner 1 is divided into 6 congruent sections.
There are 3 red sections, 2 blue sections and 1 yellow section.
Therefore, the probability of spinning each of the three colors is:
\(\bullet \quad \sf P(R_1)=\dfrac{3}{6}=\dfrac{1}{2}\)
\(\bullet \quad \sf P(B_1)=\dfrac{2}{6}=\dfrac{1}{3}\)
\(\bullet \quad \sf P(Y_1)=\dfrac{1}{6}\)
Spinner 2Spinner 2 is divided into 3 sections of differing sizes.
The red section is half of the spinner. The blue and yellow sections are quarters of the spinner.
Therefore, the probability of spinning each of the three colors is:
\(\bullet \quad \sf P(R_2)=\dfrac{1}{2}\)
\(\bullet \quad \sf P(B_2)=\dfrac{1}{4}\)
\(\bullet \quad \sf P(Y_2)=\dfrac{1}{4}\)
Question 1If each spinner is spun once, then:
The probability that both spinners both show red is:
\(\sf P(R_1)\;and\;P(R_2)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}\)
The probability that both spinners both show blue is:
\(\sf P(B_1)\;and\;P(B_2)=\dfrac{1}{3} \times \dfrac{1}{4}=\dfrac{1}{12}\)
The probability that both spinners both show yellow is:
\(\sf P(Y_1)\;and\;P(Y_2)=\dfrac{1}{6} \times \dfrac{1}{4}=\dfrac{1}{24}\)
Therefore, the probability that both spinners show the same colour is:
\(\sf P(R_1\;\&\;R_2)\;or\;P(B_1\;\&\;B_2)\;or\;P(Y_1\;\&\;Y_2)=\dfrac{1}{4}+\dfrac{1}{12}+\dfrac{1}{24}=\dfrac{9}{24}=\dfrac{3}{8}\)
Question 2If each spinner is spun once, the probability of getting a red from spinner 1 and a blue from spinner 2 is:
\(\sf P(R_1)\;and\;P(B_2)=\dfrac{1}{2} \times \dfrac{1}{4}=\dfrac{1}{8}\)
The probability of getting a blue from spinner 1 and a red from spinner 2 is:
\(\sf P(B_1)\;and\;P(R_2)=\dfrac{1}{3} \times \dfrac{1}{2}=\dfrac{1}{6}\)
Therefore, the probability of getting a red-blue combination is:
\(\sf P(R_1\;\&\;B_2)\;or\;P(B_1\;\&\;R_2)=\dfrac{1}{8}+\dfrac{1}{6}=\dfrac{7}{24}\)
figure a is a right triangle, and two of its sides have a length of 1 foot. therefore, its third side is greater than 1 foot in length.
According to the Pythagorean theorem, The Answer is Yes the third side is greater than 1 foot.
What do you mean by right angle triangle?A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.
What is the Pythagorean Theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
p=1 foot
b=1 foot
\(h^{2} = p ^{2} + b ^{2}\)
\(h=\sqrt {1^{2}+1^{2}}\\=\sqrt 2\\=1.41\\\)
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In ΔPQR, the measure of ∠R=90°, RP = 9.9 feet, and QR = 3.2 feet. Find the measure of ∠P to the nearest tenth of a degree.
Answer:
17.9
Step-by-step explanation:
You have $1000 in the bank. Each month you earn 1.5% interest. How much money will be in your account after 8 months?
Answer:
Compound interest calculator. Here's how to use NerdWallet's calculator to determine how much your money can grow with compound interest
Step-by-step explanation:
which
expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a = 1
nd b=1?
logax
Answer:
The expression that can be used to approximate the expression "logax" for all positive numbers a, b, and x, where a=1 and b=1 is:
log1x = 0
A builder buys a 21.5 acres of land to develop a new community of homes and parks.The builder plans to use 0.75 of the land for a park.How many acres will he use for the park?
He will use 9.375 acres of the land for the park
How to determine how many acres he will use for the park?A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.
Since the land is 21.5 acres and 0.75 of the land was used for a park. we can write:
acres used for the park = 0.75 × 12.5 = 9.375 acres
Thus, he will use 9.375 acres for the park
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9. The cost of delivering packages is $1.70 per package. The fixed cost to run the
delivery truck is $84 per day. If the company charges $7.70 per package delivered, how many
packages must be delivered a day to break even?
Answer:
14
Step-by-step explanation:
7.70-1.70=6
84/6=14
can someone please help me figure this out
A researcher at a major clinic wishes to estimate the proportion of the adult population of the United States that has sleep deprivation. What size sample should be obtained in order to be 99 % confident that the sample proportion will not differ from the true proportion by more than 4%? Round up to the nearest whole number.
The sample size needed to be 99% confident that the sample proportion will not differ from the true proportion by more than 4% is given as follows:
n = 1037.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The margin of error is given as follows:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.
As we have no estimate, the parameter is given as follows:
\(\pi = 0.5\)
Then the sample size for M = 0.04 is obtained as follows:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.04 = 2.575\sqrt{\frac{0.5(0.5)}{n}}\)
\(0.04\sqrt{n} = 2.575 \times 0.5\)
\(\sqrt{n} = \frac{2.575 \times 0.5}{0.04}\)
\((\sqrt{n})^2 = \left(\frac{2.575 \times 0.5}{0.04}\right)^2\)
n = 1037.
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Takeru is planning to paint the walls of his bedroom, which is shaped like a rectangular prism. The bedroom has 1 window and 2 doors. The dimensions of the window and doors are shown in the table. If 1 gallon of paint covers about 150 square feet, how many gallons of paint are needed to cover the walls of a room that is 20ft long, 15ft wide, and 8ft high?
The number of gallons is 4.1
How to determine the areaFrom the information given, we have that;
1 gallon of paint is equivalent to 150 square feet
Since we have 2 doors, the area of a rectangular prism is
Area = lw
Area =20(15)
Area = 300 (2) = 600 ft²
For the window, we have;
Area = 3(5) = 15
The total area of the wall is;
Total area = 615 ft²
Then, if;
1 gallon = 150 square feet
x = 615 square feet
cross multiply
x = 4. 1 gallons
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Reflect the figure over the line x =4
Answer:
There would be points in the following coordinates:
(3, -6); (1, -5); (2, -8); & (-1,-7).
Step-by-step explanation:
Of the 25 fish in a tropical fish tank, 10 are guppies, 4 are swordtails, and the rest are tetras. One fish is to be randomly selected from the fish tank. What is the probability that the fish selected will not be a guppy?
Which system of equations represents the matrix shown below?
7 2 0 9
-1 3 4 26
1 8 4. -32
Answer:
I don't know how to do it...
Answer:
167
Step-by-step explanation:
you take 134 divide by seven by both sides and then you can use a counculator for the rest
(Worth 50 points) Jell E. Bean owns the local frozen yogurt shop. At her store, customers serve themselves a bowl of frozen yogurt and top it with chocolate chips, frozen raspberries, and any of the different treats available. Customers must then weigh their creations and are charged by the weight of their bowls.
Jell E. Bean charges for five pounds of dessert, but not many people buy that much frozen yogurt. She needs you to help her figure out how much to charge her customers. She has customers that are young children who buy only a small amount of yogurt as well as large groups that come in and pay for everyone’s yogurt together.
A. Is it reasonable to assume that the weight of the yogurt is proportional to its cost? How can you tell?
B. Assuming it is proportional, make a table that lists the price for at least ten different weights of yogurt. Be sure to include at least three weights that are not whole numbers.
C. What is the unit rate of the yogurt? (Stores often call this the unit price.) Use the unit rate to write an equation that Jell E. Bean can use to calculate the amount any customer will pay.
D. If Jell E. Bean decided to start charging for each cup before her customers started filling it with yogurt and toppings, could you use the same equation to find the new prices? Why or why not?
Answer:
D.
Step-by-step explanation:
Points A and B are on opposite sides of a lake. Another point, C. is 94.4 meters from Angle A. The measure of Angle A is 72° and the measure of Angle C is 30°. Find the distance between A and B.
To find the distance between points A and B, we can use trigonometry and the given information.
Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.
Using trigonometry, we can use the tangent function to find the value of "d".
tan(72°) = d / 94.4
To solve for "d", we can rearrange the equation:
d = tan(72°) * 94.4
Using a calculator, we can evaluate the expression:
d ≈ 4.345 * 94.4
d ≈ 408.932
Therefore, the distance between points A and B is approximately 408.932 meters.
Assets Liabilities and Net Worth Reserves $51 Checkable Deposits $140 Loans 109 Stock Shares 130 Securities 100 Property 10 Refer to the accompanying consolidated balance sheet for the commercial banking system. Assume the required reserve ratio is 30 percent. All figures are in billions. If the commercial banking system actually loans the maximum amount it is able to lend, excess reserves will be reduced to
If the commercial banking system actually lends out the maximum amount it is able to lend, the excess reserves will be reduced to zero. This is because there will be no excess reserves held by the commercial banking system after lending out $9 billion.
Given that the required reserve ratio is 30 percent and all figures are in billions, the following table shows the total reserves, excess reserves, and required reserves:
Required reserve ratio 30% Checkable deposits $140Billion Reserves required (30% of checkable deposits)$42Billion Reserves held $51Billion Excess reserves held $9Billion Loans outstanding $109Billion Total Securities $100Billion Total Property $10Billion Total Assets $260Billion Stock shares $130Billion Total liabilities $130Billion Net worth (total assets - total liabilities) $130Billion.
Therefore, the total reserves held is $51 billion, and the reserves required is 30% of $140 billion, which is $42 billion.
This implies that the excess reserves are $9 billion.The maximum amount the commercial banking system can lend out is $51 billion minus $42 billion, which is $9 billion.
This indicates that if the commercial banking system actually lends out the maximum amount it is able to lend, the excess reserves will be reduced to zero. This is because there will be no excess reserves held by the commercial banking system after lending out $9 billion.
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if vn equals 6.7, then n is between 6 and 7 30 and 35 C 36 and 49 C 45 and 55
The value of square root n is 6.7, means value lies between 6 and 7.
\(6<\sqrt[]{n}<7\)Square each side of expression to obtain the range for n.
\(\begin{gathered} (6)^2<(\sqrt[]{n})^2<(7)^2 \\ 36So value of n lie in between 36 and 49. Option C is correct.you and a group of friends spent at least $73.00 at a local pizzeria. Drinks for the table totaled $13 and it was $15 per pizza. how many pizzas could they order
Answer:
4 pizza's
Step-by-step explanation:
hope this helps :)
The greatest common factor of 250 and 300 is?
Answer:
GCF: 50
Step-by-step explanation:
Let's test
50 ( 5 + 6)
= 250 + 300
So, my answer is correct!
Un comerciante compró 6 camionetas por $2310000. si quiere obtener una ganancia total de $577500 ¿en cuanto debe vender cada camión?
1.5 es la respuesta!!!!!!!!!
PLEASE HELP!!!!
Find the first term of the arithmetic sequence in which a61= 293 and the common difference is -3,5
Answer:
503
Step-by-step explanation:
503+(-3.5(60)) equals 293
The first term of the arithmetic sequence is 503.
What is arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression
A number series is a number-based sequence. In the number series questions, we must identify the rules that lead to the formation of a number series.
Given that the arithmetic sequence in which a61= 293 and the common difference is -3.5.
The first term will be calculated as,
a₆₁ = a₁ + d(n-1)
a₁ = a₆₁ + 3.5( 60 )
a₁ = 293 + 210
a₁ = 503
Hence, the first term will be a₁ = 503.
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Solve x^2+8x+22=0 by completing the square.
Answer: x = √-6 - 4
Step-by-step explanation:
x^2+8x+22=0
(x+4)^2 - 16 + 22 = 0
(x+4)^2 + 6 = 0
(x+4)^2 = -6
√(x+4)^2 = √-6
x = √-6 - 4
√6 = 2.449
Find the median and first quartile, Q1,
of the following distribution.
2, 5, 6, 7, 9, 10, 12, 13, 14, 16, 20, 21,
22, 24, 26, 30
Answer:
Median = 13&14
&
1st Quartile=24
Step-by-step explanation:
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Colin borrowed 4200 at 8% simple interest to be paid back in 3 years. How much interest will he pay
Answer:
Answer 1008
Step-by-step explanation:
2 1/3 - (-5) =
what does it equal
Answer:
7 1/3
Step-by-step explanation:
See image below:)
Is the enlargement shown below a dilation…. Please I need help ASAP
On Monday, one share of a certain stock costs $41.45. On Tuesday, the cost goes up by $0.58. It goes down by $0.26 on both Wednesday and Thursday. On Friday, it goes down by $0.06. Write an expression to represent the cost of one share of the stock on Friday. Then evaluate the expression to find the cost on Friday.
Answer:
The cost of one share of the stock on Friday is $41.45
Step-by-step explanation:
The initial cost of one share of the stock on Monday is $41.45.
On Tuesday, the cost goes up by $0.58, so the cost becomes:
$41.45 + $0.58 = $42.03
On Wednesday, the cost goes down by $0.26, so the cost becomes:
$42.03 - $0.26 = $41.77
On Thursday, the cost also goes down by $0.26, so the cost becomes:
$41.77 - $0.26 = $41.51
Finally, on Friday, the cost goes down by $0.06.
So the expression to represent the cost of one share of the stock on Friday is:
$41.51 - $0.06
To evaluate this expression, we simply subtract $0.06 from $41.51:
$41.51 - $0.06 = $41.45
Therefore, the cost of one share of the stock on Friday is $41.45
CERTAIN ANSWERS!!! Please assist me! I will award you brain crown! Thank you in advance:))
Answer:
See below.
Step-by-step explanation:
Statements: Reasons:
1) \(\angle 2\cong\angle 3\) Given
2) \(m\angle2=m\angle 3\) Definition of Congruence
3) \(\angle 1\text{ and } \angle 2\text{ form a linear pair}\) Given
4) \(\angle 1 \text{ and } \angle 2\text{ are supplementary}\) Supplement Theorem
5) \(m\angle 1+m\angle 2=180^\circ\) Definition of Supplementary Angles
6) \(m\angle 1+m\angle 3=180&^\circ\) Substitution
7) \(\angle 1\text{ and } \angle 3 \text{ are supplementary}\) Definition of Supplementary
And we're done!