Horatio recorded the daily high temperatures. On 66 days, the high temperature was greater than 88°F. This was 75% of the days that Horatio recorded. How many days was the high temperature less than or equal to 88°F?

Answers

Answer 1

Answer:

The answer is 22

Step-by-step explanation:

Answer 2

The total number of days recorded by Horatio was 88,

The number of days with high temperatures less than or equal to 88°F is 22 days.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We know that the high temperature was greater than 88°F on 75% of the days, which means it was less than or equal to 88°F on the remaining 25% of the days.

So we can set up an equation to solve for the number of days the high temperature was less than or equal to 88°F:

So,

25% x total number of days = number of days with high temperature less than or equal to 88°F

Or in other words:

0.25 x total number of days = number of days with high temperature less than or equal to 88°F

We are given that the number of days with high temperatures greater than 88°F is 66.

Let's use x to represent the total number of days:

0.25x = number of days with high temperature less than or equal to 88°F

0.25x = x - 66

(since the number of days with high temperatures less than or equal to 88°F is the remainder)

0.25x - x = -66

-0.75x = -66

x = 88

The total number of days recorded by Horatio was 88,

The number of days with high temperatures less than or equal to 88°F.

= 0.25 x 88

= 22 days.

Thus,

The total number of days recorded by Horatio was 88,

The number of days with high temperatures less than or equal to 88°F is 22 days.

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Related Questions

The set of whole numbers contains the set of rational numbers.
Every square root is a rational number
The integers are closed under addition.
True or False?
If false provide a counterexample.

Answers

Answer:

false -- 2/3 is not a whole number

true -- a terminating decimal is like 0.35 which is 35/100

false

true

so, 2 out of 4.

Anna juices 8 quarts of juice in 1 minute. How many gallons does she have in 1 hour? (4 quarts = 1 gallon)

Answers

Answer: 120

Step-by-step explanation: 8 times 60 is 480 then converted to gallons do

480/4

solve the equations by factorization method:
(ii) x² - 2ax + a²-b=0​

Answers

Answer:

x=a+ b x=a-b

Step-by-step explanation:

BRAINLIEST PLSSSSSSSS

USE SYMBOLAB IT WORKS AND MATHPAPA

What is the area of the triangle?
8
4

Answers

area of triangle is base x height divide by 2
8x4=32
32 divide by 2 is
16

Find the volume of the cone.

Answers

Answer:

[tex]v = \frac{1}{3} \times h \times r {}^{2} \times \pi[/tex]

[tex]v = \frac{12cm \times (8cm) { }^{2} \times \pi}{3} [/tex]

[tex]v = \frac{768cm {}^{3}\pi }{3} [/tex]

[tex]v = 256\pi \: cm {}^{3} [/tex]

PLEASE HELP! The AHS football team did a weigh-in at the start of training camp. The weights of the players were distributed normally with a mean of 98kg and a standard deviation of 6kg. What percentage of players are under 86kg?

Answers

Answer:  2.5%

=============================================================

Explanation:

Notice how 98-2*6 = 98-12 = 86. So we're 2 standard deviations below the mean.

Start at the center, which is where the highest point is located. The value 98 is at the center. Then move 2 spots to the left, which has us move 2 standard deviations lower than the mean, and we arrive at 86. Refer to the diagram below.

From here, we add up the percentages in that diagram that are below the 86 mark. Those percentages are the 0.15% and 2.35%

So we get (0.15%) + (2.35%) = 2.5% which is the answer

Side note: This diagram is using the Empirical Rule. Some textbooks call it the "68-95-99.7 rule", but that's more clunky of a name in my opinion. The three values 68, 95 and 99.7 refer to the approximate percentage values within 1, 2 and 3 standard deviations of the mean.

What percent is equivalent to 1/10?

Answers

Answer: 10%

Step-by-step explanation:

1/10 is equal to .10 or 10%

Answer:

10%

Step-by-step explanation:

Divide 1 by 10 and you get 0.10 :)

Part 2! Please help once again! This is confusing me since I've never been good at geo. :((

Answers

Answer:

B is the answer that is incorrect and must be rejected.

Step-by-step explanation:

A trapezoidal shape need not have a line of symmetry to be a trapezoid.

what is the value? when r equals 0

Answers

Answer:

I do not know the answer to this question

Step-by-step explanation:

If g(x) is 11 then what is x

Answers

If g is the inverse of a function f and
, then g'(x) is equal to

Solution :

differentitate wrt x







(f(g(x))) = 1 + (g(x))^5
g'(x) = 1 + (g(x))^5

Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and
15 cm.
O A. Knowing that 92 + 122 + 152draw the 5 cm side and the 9 cm side
with a right angle between them. The 15 cm side will fit to form a
right triangle
B. Knowing that 52 + 92 < 122 draw the 5 cm side and the 9 cm side
with a right angle between them. The 12 cm side will fit to form a
right triangle
C. Knowing that 92 + 122 = 152, draw the 9 cm side and the 12 cm
side with a right angle between them. The 15 cm side will fit to
form a right triangle.
D. Knowing that 92 + 122 = 1), draw any two of the sides with a right
angle between them. The third side will fit to form a right triangle.

Answers

Answer:it is C

Step-by-step explanation:

plss answer Part A #1 abc . i will give brainliest. late answers accepted​

Answers

Answer:

a. (3x² - 2x - 5) units²

b. (x² - x) units²

c. (2x² - x - 5) units²

Step-by-step explanation:

a. Area of the frame = L*W

L = (x + 1) units

W = (3x - 5) units

Area of the frame = (x + 1)(3x - 5)

Apply distributive property

x(3x - 5) +1(3x - 5)

3x² - 5x + 3x - 5

Area of the frame = (3x² - 2x - 5) units²

b. Area of the picture = L*W

L = x units

W = (x - 1) units

Area of the picture = x(x - 1)

Apply distributive property

= x² - x

Area of picture = (x² - x) units²

c. Area of the frame that surrounds the picture = area of frame - area of picture

= (3x² - 2x - 5) - (x² - x)

= 3x² - 2x - 5 - x² + x (distributive property)

Add like terms

= 3x² - x² - 2x + x - 5

= 2x² - x - 5

Area of the frame that surrounds the picture = (2x² - x - 5) units²

How is basic math used in a business? Give me three examples.

Answers

Answer:

Understanding basic business math is necessary for profitable operations and accurate record keeping. Knowing how to add, subtract, multiply, divide, round and use percentages and fractions is the minimum you need to price your product and meet your budget.

Can someone answer and explain ill mark brainliest

Answers

Answer:

56 of the coins are dimes

Step-by-step explanation:

Dimes = D

Quarters = Q

D+Q=102

10D+25Q=1710

-10(D+Q=102)

-10D-10Q=-1020

+10D+25Q=1710

15Q-690

Q=46

D=102-46=56

CHECK 46(25)+56(10)=1150+560=1710 = YES

A store is having a sale in which the cost of any item is 35% off. Which expression can be used to find the cost, x, of an item AFTER DISCOUNT?

Answers

Answer:

73373773737477374747373738

Can someone help me out please ? Will give brainiest answer. Need all 6

Answers

Step-by-step explanation:

tell me the math problem I will tell u the answer its blurry

What is the sum of the length of the longest meteor and the length of the shortest meteor? (4 points)

A line plot with the title, length of meteors. The data is measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has one data point. The second tick mark is three eighths and has three data points. The third tick mark is four eighths and has two data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has two data points. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighths and has one data point. The tenth tick mark is one and three eighths and has two data points. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five eighths and has no data points. The thirteenth tick mark is one and six eighths and has two data points. The fourteenth tick mark is one and seven eighths and has one data point.

a
one and one eighth inches

b
two and one eighth inches

c
five and one eighth inches

d
nine and one eighth inches

Answers

Answer:

two and one eighth inches

Solve the inequality for v.
5v-9> 66

Answers

Answer:

v>15

Step-by-step explanation:

add 9 to 66

5v>75

v>15

Answer: v>15

Step-by-step explanation:

The inequality can be treated as an equal sign and solved normally. Add 9 to both sides to get 5v>75, then divide to get v>15.

NOTE: If an inequality is divided by a negative number, the sign flips (> to <, etc.)

Fewer young people are driving. In 1995, 63.9% of people under years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to in . Suppose these results are based on a random sample of people under years old who were eligible to have a driver's license in and again in . a. At confidence, what is the margin of error and the interval estimate of the number of eligible people under years old who had a driver's license in

Answers

Answer:

A. 0.0272

B. 0.0278

C. No

Step-by-step explanation:

a. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 1995u

First step is to calculate the Standard error using this formula

Standard error(SE)= √(pcap * (1 - pcap)/n)

Where,

pcap represent sample proportion = 0.639

n represent sample size = 1200

Let plug in the formula

Standard error (SE)= √(0.639 * (1 - 0.639)/1200)

Standard error(SE)= 0.0139

Second step is to find Zc using this formula

Zc = Z(α/2)

Where,

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Zc = Z(α/2) = 1.96

Now let calculate the Margin of Error using this formula

Margin of Error= zc * SE

Let plug in the formula

Margin of Error = 1.96 * 0.0139

Margin of Error = 0.0272

Therefore the Margin of Error is 0.0272

b. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 2016

First step is to calculate the Standard error using this formula

Standard error(SE)= √(pcap * (1 - pcap)/n)

Where,

pcap represent sample proportion = 0.417

n represent sample size = 1200

Let plug in the formula

Standard error (SE)= √(0.417 * (1 - 0.417)/1200)

Standard error(SE)= 0.0142

Second step is to find Zc using this formula

Zc = Z(α/2)

Where,

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Zc = Z(α/2) = 1.96

Now let calculate the Margin of Error using this formula

Margin of Error= zc * SE

Let plug in the formula

Margin of Error = 1.96 * 0.0142

Margin of Error = 0.0278

Therefore the Margin of Error is 0.0278

c. Based on the above calculation for both (a) and (b) the MARGIN OF ERROR are NOT the same reason been that (a) Margin of Error is 0.0272 while (b) Margin of Error is 0.0278 which simply shows that the proportion in parts (a) and are different.

At a state university on the west coast, 13% of undergraduate students are of Asian origin. Among students of Asian origin, 11% major in Humanities, 7% in Social Sciences, 31% in Biological and Physical Sciences, 36% in engineering, and the remaining 15% in Business. Among students of other ethnicities, 19% major in Humanities, 16% in Social Sciences, 12% in Biological and Physical Sciences, 18% in engineering, and the remaining 35% in Business. One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.

Answers

Answer:

0.9398 = 93.98% probability that the student is not of Asian origin.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Business student

Event B: Not of Asian origin.

Probability that the student is an undergraduate majoring in business.

15% of 13%(Of Asian origin).

35% of 100 - 13 = 87%(Not of Asian origin). So

[tex]P(A) = 0.15*0.13 + 0.35*0.87 = 0.324[/tex]

Business student and not of Asian origin:

35% of 87%. So

[tex]P(A \cap B) = 0.35*0.87 = 0.3045[/tex]

One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3045}{0.324} = 0.9398[/tex]

0.9398 = 93.98% probability that the student is not of Asian origin.

determine the scale factor

Answers

Answer:

The scale factor is (2/3)

Step-by-step explanation:

[tex]9 \times \frac{2}{3} = 6 \\ 12 \times \frac{2}{3} = 8[/tex]

I hope that is useful for you :)

The workers' union at a particular university is quite strong. About 96% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly of the workers interviewed are union members

Answers

Answer:

The probability that exaclt x of the members are union members from the n interviewed is given by:

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]

Step-by-step explanation:

For each worker, there are only two possible outcomes. Either they are union members, or they are not. Members are independent of other members. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

About 96% of all workers employed by the university belong to the workers' union.

This means that [tex]p = 0.96[/tex]

What is the probability that exactly of the workers interviewed are union members

We want probability of x, from n workers interviewed. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]

An equilateral triangle has a side length of 10 units. What is its area?

Answers

Answer:

Hope my ans help you plz if u can mark me brainlist

Step-by-step explanation:

A = 43.3

The area of an equilateral triangle has a side length of 10 units is 43.3 square units.

What is an equilateral triangle?

An equilateral triangle is one with equally long sides on both sides. The three angles opposite the three equal sides are equal in size because the three sides are equal. As a result, with each angle measuring 60 degrees, it is sometimes referred to as an equiangular triangle.

Given the side of an equilateral triangle  = 10 units

the area is given by,

A = √3/4 × a²

where a is the length of the side,

A = √3/4 × 10²

A = 1.732 x 100/4

A = 43.3 square units.

Therefore, the area of a triangle is 43.3 square units.

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A triangle has one angle that measures 81° and one that measures 37° what is the measure of the third angle

Answers

Answer:

the third angle of the triangle is 62°

62 grad

Step-by-step explanation:

Find the radius of a circle if its center is (2,3) and one point on the circle is (5,3).

Answers

Answer:

Step-by-step explanation:

radius = distance between (2,3) and (5,3) = √[(5-2)² + (3-3)²]  = 3

The required radius of the circle is

center is (2,3)
point
on the circle is (5,3).

What is radius?

Radius of the circle is the distance between the center to the circumference.

Radius = [tex]\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}[/tex]
=[tex]\sqrt{(5-3)^2-(3-3)^2}[/tex]

Radius = [tex]\sqrt{4}[/tex]
Radius = 2

Thus, the required radius is 2 .

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what does l-7l mean and whats its value NEED HELP

Answers

The lines mean absolute value which mean the number inside is the distance from 0. If the number inside is negative the absolute value is always gonna be positive for example |-7| would be 7. Hope this helps

Spring tides are extremely high and extremely low. This is created when the sun and moon pull together.

Answers

Answer:

yep true

Step-by-step explanation:

facts u know what u talking bout

You NEVER distribute a coefficient of an absolute value. True or False?

Answers

Answer:

TRUE!!!!!!!!!

Step-by-step explanation:

The measures of two angles are 2x⁰ and (3x + 20)⁰. What is the measure of each angle if x = 14?

A. 48⁰, 42⁰
B. 28⁰, 62⁰
C. 36⁰, 62⁰
D. 48⁰, 28⁰

Answers

Answer:

The measures of two angles are 2x⁰ and (3x + 20)⁰. What is the measure of each angle if x = 14?

b 28 and 62

Lula has two dogs, one 35 pounds, the other 25 pounds. What is the average weight of Lula's dogs?

Answers

Answer:

30

Step-by-step explanation:

25+35= 60

60/2=30

Answer: 30

Step-by-step explanation:

The term average has a number of different meanings. Most generally, it is a single number that is used to represent a collection of numbers. In the context of mathematics, "average" refers to the mean, specifically, the arithmetic mean. It is a relatively simple statistical concept that is widely used in many areas.

The equation below is one of the more commonly understood definitions of the average: [tex]Average =[/tex] [tex]\frac{Sum}{Count}[/tex]

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