Answer:
2
Step-by-step explanation:
[tex] \sec \: 60 \degree = 2[/tex]
The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams. What percentage of the grasshoppers weigh between 86 grams and 94 grams?
A. 99.7%
B. 95%
C. 68%
D. 47.5%
E. 34%
Answer:
95%
Step-by-step explanation:
Do the math it's pretty easy.
When the weight of laboratory grasshoppers follows a normal distribution, with a mean of 90 grams and a standard deviation of 2 grams, 95% of grasshoppers weigh between 86 and 94 grams.
What is normal distribution?Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
Let W be the sample of weight of laboratory grasshoppers.
W follows N(90, 2)
To calculate P(86 < W < 94)
[tex]P ( 86 < W < 94 ) \\\\P ( \frac{86 - 90}{2} < \frac{W - 90}{2} < \frac{94 - 90}{2} )\\\\P(-2 < Z < 2)\\[/tex]
= 95% (approximately)
(using excel function NORM.S.DIST(2,TRUE)-NORM.S.DIST(-2,TRUE))
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(8.1 + 7.9)x – (25 ÷ 5)x
Answer:
11x
Step-by-step explanation:
Follow PEMDAS
Parenthesis
(8.1 + 7.9) = 16
(25 / 5) = 5
Multiply
16 * x = 16x
5 * x = 5x
Subtract
16x - 5x = 11x
Vector u has initial point at (6, 8) and terminal point at (3, –2). Vector v has initial point at (–4, –3) and terminal point at (1, –7).
What is u – v in component form?
⟨-8, -6⟩
⟨-2, -6⟩
⟨8, 6⟩
⟨12, 16⟩
Answer:
The answer is A. (-8,-6)
Step-by-step explanation:
I had guessed on my quiz and somehow got it right lol
u – v in component form and is (-8,-6).
We have given that,
Vector u has initial point at (6, 8) and a terminal point at (3, –2).
Vector v has initial point at (–4, –3) and a terminal point at (1, –7).
What is the component form?The component form of a vector is the ordered pair that describes the changes in the x- and y-values.
u – v in component form and is (-8,-6).
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Line M passes through the points (–5, 9) and (–1, 9). A coordinate plane. Which is true of line M? Line M is a vertical line with an undefined slope. Line M is a vertical line with a slope of zero. Line M is a horizontal line with an undefined slope. Line M is a horizontal line with a slope of zero.
Answer:
Option 4, Line M is a horizontal line with a slope of zero
Step-by-step explanation:
Clara and Toby are telemarketers. Yesterday, Clara reached 4 people in 10 phone calls, while Toby reached 3 people in 8 phone calls. If they continue at those rates, who will reach more people in 40 phone calls?
Answer:
clara will reach more than toby
A student has a business selling snowballs during the summer. For each snowball the student sells, they makes a profit of $1.50. On the hottest day of the summer, the student sold 125 snowballs and made a profit of $187.50. Create a model in point slope form to represent the profit the student makes, y, based on the number of snowballs sold, x. Use mathematics to justify your answer.
Answer:
y = $1.25x
Step-by-step explanation:
Given that :
Profit made per sale = $1.50
Number of sales made on hottest day of summer = 125 ; Profit made = $187. 50
Let profit Made = y
Number of snowballs sold = x
Profit made = profit made per snowball sold * Number of snowballs sold
y = $1.25x
$187.50 = $1.25(125)
A train from Chicago to
Cleveland is traveling
280 miles in 3.5 hours.
How many miles per
hour is the train
traveling?
Answer:
80 miles per hour
mark is eating holiday rolls very quickly at 7 rolls per minute.He says he will eat 77 rolls in 12 minutes. is mark correct? if not what should the correct answer be?
Answer:No he is incorrect the correct answer would be 11
Step-by-step explanation: It would be 11 because since he eats 7 rolls per minute it would be like 7x1 so 7x11=77 and 11 would be the minutes.
The national percentage of automobile accident fatalities that are alcohol related is 39%. In a random sample of 96 automobile accident fatalities in the state of Connecticut, 44 were alcohol related. Is this sufficient evidence to say that Connecticut has a higher percentage of alcohol related automobile fatalities?
Answer:
Step-by-step explanation:
Given that:
There are 96 automobile accident fatalities in Connecticut and 44 were alcohol related.
The null hypothesis and the alternative hypothesis for this study can be computed as:
[tex]H_o: P =0.39 \\ \\ H_1:P> 0.39[/tex]
The sample proportion [tex]\hat p[/tex]= 44/96 = 0.45833
Using the Z formula for a single proportion test, we get;
[tex]Z = \dfrac{\hat p - P }{\sqrt\dfrac{{P(1-P)}}{{n}}}[/tex]
[tex]Z = \dfrac{0.45833 - 0.39 }{\sqrt\dfrac{{0.39(1-0.39)}}{{96}}}[/tex]
[tex]Z = \dfrac{0.06833 }{\sqrt\dfrac{{0.39(0.61)}}{{96}}}[/tex]
[tex]Z =1.37[/tex]
The p-value = 1 -P(Z< 1.37)
The p-value = 1 - 0.9147
The p-value = 0.0853
At the level of significance (∝) 0.05 ;
Since p-value is greater than level of significance (∝); we accept the null hypothesis and conclude that there is no sufficient evidence to say that higher percentage of alcohol is related to automobile fatalities.
Which statement illustrates the distributive property?
Answer:
3(4+5) = 3(4) + 3(5)
Step-by-step explanation:
in distributive property, you multiply the number outside the parenthesis by both of the numbers inside, but still keeping the sign the same.
Answer:
b
Step-by-step explanation:
help will mark brainlist owo
Answer:
[tex] \sqrt{50 } \times \sqrt{4} [/tex]
What is the volume of a sphere with a diameter of 32.5 m, rounded to
the nearest tenth of a cubic meter? (PLEASE ROUND)
Answer:
Step-by-step explanation:
Givens: d = 32.5 m
Formula: V = 4/3 pi r^3
Solution
r = d/2
r = 32.5/2
r = 16.25
V = 4/3 * 3.14 * (16.25)^3
V = 17965.05 to the nearest tenth is
V = 17965.1
Answer:
≈17974.2 m
Step-by-step explanation:
\text{Volume of a Sphere:}
Volume of a Sphere:
V=\frac{4}{3}\pi r^3
V=
3
4
πr
3
\text{radius} = \frac{\text{diameter}}{2} = \frac{32.5}{2}=16.25
radius=
2
diameter
=
2
32.5
=16.25
meters
\text{Plug in:}
Plug in:
\frac{4}{3}\pi (16.25)^3
3
4
π(16.25)
3
17974.1642186
17974.1642186
Use calculator
\approx 17974.2\text{ m}^3
≈17974.2 m
3
Round to the nearest tenth
A) Unlimited movie rentals from a video store costing $19 a month
B) Unlimited movie rentals from an online store costing $1.50 per movie
For this problem, assume that you rent an average of 10 movies a month.
Answer:
Store=$190 for 10 movies a month
Online=$15 for 10 movies a month
Step-by-step explanation:
times price by number of movies
Solve for X and Solve for Y please help due in the morning
Please help this is due today and I’m so stressed!I will mark Branliest!!!
Tanya performs two transformations on ABC to form A"B"C" as shown on the coordinate grid below.
True or False:ABC is similar to A”B”C”?
‼️GIVING BRAINILEST AND PLEASE DONT SCAM‼️
Janet wants to hire a catering company. The total cost includes a catering fee
(initial value) plus a charge for each attendee at the event (rate of change). The
total costs for three catering companies are summarized below. Use this
information for Questions 6 to 8.
Write an equation five times the difference of n less 3 equals 12
Answer:
5 (n - 3) = 12
Step-by-step explanation:
5 (n - 3) = 12
Use the simple interest formula. $5000 at 5% for 2 years. Find the amount of interest and the total amount (principal + interest)
Answer:
interest = $500, total amount = $5500
Sorry about the other person
Hope this helps!
Determine whether the situation is linear or nonlinear, and proportional or nonproportional. Joanna is paid $10 per hour. The situation is (select) and (select) .
Answer:
The situation is linear and proportinal
Step-by-step explanation:
Hopes this help!!
The situation is linear and proportional for Joanna is paid $10 per hour.
What is linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.
Given,
Joanna is paid $10 per hour.
Let earnings of Joanna is y and number of hours be x
then,
Joanna earning in x hours
y = 10x
Which is linear equation
and
y/x = 10 = k
Earning and number of hours are proportional.
Hence, Joanna is paid $10 per hour is linear and proportional situation.
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Mrs. Bach bought a used car for her son. She borrowed $8000 from Acme Auto at an interest rate of 8% for three years. What will be the total cost of the loan including the amout of interest that will need to be paid back to Acme Auto? A) $1,920 B) $9,920 C) $640 D) 8,640 a A b B c C d D
Answer:
d
Step-by-step explanation:
The population of a town was 25,000 people. Then 3,200 people moved away. What was the percent of decrease?
Group of answer choices
Answer:
12.8%
Step-by-step explanation:
25000 - 3200 = 21800
21800/25000 = 87.2%
100 - 87.2 = 12.8
12.8%
What is the slope of the line?
Answer:
up 1 over 3
Step-by-step explanation:
Graph y= -2x + 5.
I don’t get this
Answer:
Step-by-step explanation:
Answer:
weewoo
Step-by-step explanation:
Please help me this is urgent
Answer:
2,-2,-6,-10
Step-by-step explanation:
hope this helps
y=(−4)(−1)−2
y=2
y=(−4)(0)−2
y=−2
y=(−4)(1)−2
y=−6
y=(−4)(2)−2
y=−10
⚠️What is the slope of the line that passes through the points ( 4,9 ) and ( 14, 17)⚠️
⚠️HURRY TAKING A TEST⚠️
During a snowstorm, snow fell at a constant rate for a number of hours. Then it stopped snowing for a number of hours. Then it started up again at a different constant rate. Nolan made a graph showing the inches of snow on the ground over time using the data that he collected.
Answer:
x=45
Step-by-step explanation:
weights and routes
weights and routes
weights and routes
VvvvVV
The amount of snow on the ground when the storm started is the y- intercept of graph which is 5 inches.
The y- intercept of a graph gives the value y when the value of x = 0.
The y - intercept is the point where the plotted line intersects the y - axis. This is a reasonable value because, the point 0 depicts the time the snow started to fall. The y - axis represents the amount of snow on the ground in inches, therefore, the value on the y-axis when x = 0, should give the appropriate answer. Hence, amount of snow when the snow started was 5 inches.Learn more : https://brainly.com/question/1354826?referrer=searchResults
Point: (3,−4)
m: −1
Equation:
plz answer i need the equation will mark brailest answer in 1 hour
.................... :)) equation->>> y=-1-4
Answer: y = -7
Step-by-step explanation:
y = mx + b
y = -1(3) + -4
y = -3 - 4
y = -7
Solve.
(1 Point)
8/11 (n - 10) = 64
Answer:
n=98
Step-by-step explanation:
i think but don't get mad at me if I get it wrong
please help!!!!!!!!!!!!!
Answer:
The answer is 3/20 or 0.15 as a decimal.
Step-by-step explanation:
Little bit of help 15 points!
Answer:
Step-by-step explanation:
it is a
