The histogram shows the birth weights of 1000 mice.


Frequency density


18


20


6 8 10 12 14 16


Birth weights (grams)


Work out the number of mice with birth weights below 10 g.

Answer:

2/5

8/20

4/10

16/40

Step-by-step explanation:

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The fractions that are equivalent to 40% are 4/10 and 8/20

Fractions are written as a ratio of two integers

Given the percentage 40%

Write as a fraction

40% = 40/100

Divide through by 4

40% = 40/100 = 4/10

Multiply both numerator and denominator by 2

4/10 * 2/2 = 8/20

Hence the fractions that are equivalent to 40% are 4/10 and 8/20

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Answer:3

Step-by-step explanation:

This is the basic definition of an inverse. f(3)=-15 means you plugged in 3 in the function, and you ended up with -15. The inverse means you plugged in some number x, and ended up with -15. Because f(3)=-15, the answer is 3.

Answer:

Which of the following is true if the data point 11.1 is corrected to 11.7?

A.The mean increases.

B.The median increases.

C.The data set has two modes.

D.The range increases.

A.The mean increases.

C.The data set has two modes.

These are the correct answers.

A and C will be correct answers.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including basic arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Given that the Data point is corrected from 11.1 to 11.7. As we already know if we increase the value of the data point the mean will rise when a data point is added that is above the mean or subtracted that is below the mean. The mean will drop if one or more data points are removed that are above the mean or added that are below the mean.

Therefore, If data point 1.1 is corrected to 11.7 then the mean will increase and the data set has two modes.

Learn more about mean here:

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Answer:

the second answer

Step-by-step explanation:

start by getting the given equation into slope intercept form: y=mx+b

Just subtract x from both sides to get y by itself then divide by -1 bc y needs to be positive:

x-y=-2

-y=-x-2

y=-x/-1 -2/-1

y=x+2

This line is positive so it'll increase from left to right and also go through point (0,2) ( aka the y-intercept)

Answer:

(a)Mean=14

(b)Median=14.5

Step-by-step explanation:

Given the data set:

5,5, 9, 10, 13, 16, 18, 20, 22, 22​

(a)Mean

[tex]\bar{x}=\dfrac{5+5+9+10+13+16+18+20+22+22}{10} \\=\dfrac{140}{10} \\Mean=14[/tex]

(b)5,5, 9, 10, 13, 16, 18, 20, 22, 22​

Since we have two terms in the middle, we take the average to obtain the median.

Median

[tex]=\frac{13+16}{2}\\=\frac{29}{2}\\Median=14.5[/tex]

The product of (3 – 2i) and (3 + 2i) simplifies to 13 after expanding and simplifying the expression, canceling out the imaginary terms.

To find the product of (3 – 2i) and (3 + 2i), we'll use the distributive property:

(3 - 2i)(3 + 2i) = 3(3) + 3(2i) - 2i(3) - 2i(2i)

                = 9 + 6i - 6i - 4i²

Since i² = -1, substitute -1 for i²:

= 9 + 6i - 6i - 4(-1)

= 9 + 6i - 6i + 4

The terms with imaginary parts cancel out:

= 9 + 4

= 13

Thus, the product of (3 – 2i) and (3 + 2i) equals 13.

Complete Question:

What is the value of the product (3 – 2i)(3 + 2i)?

5

9 + 4i

9 – 4i

13

count all the dots that are greater than 10. you'll get 6 dots. the question is asking for the dots 10 and fewer there is 40 dots in total so you subtract

40-6= 34

the answer is 34/40

The probability for the dots 10 and fewer shots to get a successful shot is 34/40

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

The probability that Gerald makes a three-point shot in basketball is 20%.

He simulated 40 trials of three-point shots where each shot had a 0.2 probability of being successful, and in each trial, he counted how many shots it took to get the first successful shot.

all the dots that are greater than 10 = 6 dots.

we need to find for the dots 10 and fewer there are 40 dots in total

So,

40-6= 34

Thus, the answer is 34/40

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Answer:

C. 33

Step-by-step explanation:

The pattern increases by 4; 17+4=21, 21+4=25, 25+4=29, 29+4=33

Answer:

17 cm

Step-by-step explanation:

Because if you use the Pythagorean threom a^2 + b^2 = c^2. 8 squared is 64 and 15 squared is 225 add those and you get 289, and 17 squared is 289.

The surface area of the cylinder is [tex]\( 72\pi \)[/tex] or approximately [tex]\( 227.836 \)[/tex] square units when using [tex]\( \pi \approx 3.143 \)[/tex].

The surface area of a cylinder can be calculated using the formula:

[tex]\[ \text{Surface Area} = 2\pi r^2 + 2\pi r h \][/tex]

where [tex]\( r \)[/tex] is the radius of the base and [tex]\( h \)[/tex] is the height of the cylinder.

Given the base radius [tex]\( r = 4 \)[/tex] and the height [tex]\( h = 5 \)[/tex], we can substitute these values into the formula:

[tex]\[ \text{Surface Area} = 2\pi (4)^2 + 2\pi (4)(5) \][/tex]

[tex]\[ \text{Surface Area} = 2\pi (16) + 2\pi (20) \][/tex]

[tex]\[ \text{Surface Area} = 32\pi + 40\pi \][/tex]

[tex]\[ \text{Surface Area} = 72\pi \][/tex]

Now, if we use the approximation[tex]\( \pi \approx 3.143 \)[/tex], the surface area becomes:

[tex]\[ \text{Surface Area} \approx 72 \times 3.143 \][/tex]

[tex]\[ \text{Surface Area} \approx 227.836 \][/tex]

Step-by-step explanation:

So 2 bottles and 15 cups

15 ÷ 2 = 7.5

He poured 7.5 cups of water in each bottle

Answer:

if you need a diagram here you go

Step-by-step explanation:

Answer:

The critical z value used to test a null hypothesis is ±1.75.

Step-by-step explanation:

We are given that the data has a normal distribution and the number of observations is greater than fifty.

Also, the hypothesis given to us is;

Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 3.24

Alternate Hypothesis, [tex]H_1[/tex] : [tex]\mu\neq[/tex] 3.24

This means that our test is two-tailed because in the alternate hypothesis we are concerned with mean value is less than or greater than 3.24.

Also, level of significance (α) = 0.08

Now, for two-tailed test level of significance becomes =  [tex]\frac{\alpha}{2} =\frac{0.08}{2}[/tex] = 0.04

So, in the z-table the critical value of x at 4% significance level is given as 1.75.

Since, this is two-tailed test so the critical z value used to test a null hypothesis would be ±1.75.

At the 4% significance level, the z-value is 1.75. Therefore, for the two tailed test the z value becomes [tex]\pm[/tex] 1.75. and this can be determined by using the given data.

Given :

According to the hypothesis test:

Null Hypothesis  --  [tex]\rm H_0:\mu=3.24[/tex]

Alternate Hypothesis  --  [tex]\rm H_1 : \mu\neq 3.24[/tex]

According to the given data, the significance level is given by ​α = 0.08. So, the significance level for the two tailed test is given by:

[tex]\rm \dfrac{\alpha }{2}=\dfrac{0.08}{2}=0.04[/tex]

So, for the 4% significance level, the z-value is 1.75. Therefore, for the two tailed test the z value becomes [tex]\pm[/tex] 1.75.

So, the correct option is a).

For more information, refer to the link given below:

https://brainly.com/question/2253924

Answer:

After 'n' weeks?

Step-by-step explanation:

Make sure your question makes sense.

Answer: 13

math-way is helpful with problems like these.

Answers:

I've attached a diagram that visually shows the congruency!!

Answer:

E

Step-by-step explanation:

To find the sum, you most find the answers for both powers of tens. 10^2 is 100, so 4.9*100=490. 10^3 is 1000, so 6.8^1000= 6800. Add them together and you get 7290, which if divided by 1000, you get 7.29. Since 10^3 is 1000, the correct answer isE.

Answer:

Every positive number "n" has two square roots. One of them is positive ( or ) , and the other is negative ( ). Together, these are denoted as . The principal square root is the positive number square root. Unless otherwise stated, "the square root" of a number refers ONLY to the principal square root.

Step-by-step explanation:

Answer:

positive #square root

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

The distance between 6 and -6 on a number line is not the absolute value of -6.

Answer:

the answer is A

Step-by-step explanation:

Answer:

I believe the answer is C.

Step-by-step explanation:

Shayla forgotten that the further you are away, the more colder it gets or you are further away from zero. It is more warmer at 12pm than 8am as it was -1 degrees celsius which is warmer than -4 degrees celsius.

Answer:

1 more lawn per hour

Step-by-step explanation:

Brian mows one lawn every hour while logan takes 4 hours to mow 2

Brian:

Hr 1                    1 Lawn

Hr 2                    2 Lawn

Hr 3                    3 Lawn

Hr 4                    4 Lawn

Logan:

Hr 1                    2 Lawn

Hr 2                    4 Lawn

Hr 3                    6 Lawn

Hr 4                    8 Lawn

Answer: 562.5

Step-by-step explanation:

Ok...Im PRETTY sure this is right, because you multiply 5 (5 years till 2025) times 7.5 (the rate of decrease in price) and subtract that from 500, so that would be 600-37.5, which gives you 562.5

Okay, so the formula for these types of problems is [tex]yab^x[/tex] I believe, or something like that.

So the price is 600 for y, 1-0.0075 is the b because it is decreasing in value each year, and it is 5 years from now, so 5 for the x.

Plug those in, and you will get about 577.83.

I hope this helps.

Answer: 7/80

Step-by-step explanation: There are 7 multiples of 11 between 1 and 80, so you just put the 7 over the total number which is 80

Answer:

the anser from what i see should be option 1

Step-by-step explanation:

The reason why i say this is because number 1 is linear which means it is just multipying but your multiplying and adding and its not option 3 because question 5 said the questions started at 1

Answer:

0.6968 L

Step-by-step explanation:

We can calculate the resulting volume thanks to Boyle's Law, which tells us The volume is inversely proportional to the pressure:

• If the pressure increases, the volume decreases.

• If the pressure decreases, the volume increases.

Thus:

P1V1 = P2V2

We know that P1 = 12 atm, V1 = 0.0871 L and P2 = 1.5 atm, that is, the value that we do not know about V2, therefore we solve for V2:

V2 = P1V1 / P2

Replacing:

V2 = 12 * 0.0871 /1.5

V2 = 0.6968 L

Which makes sense, since decreasing the pressure increases the volume.

Answer:

c=25p

Step-by-step explanation:

c= total cost

p=number of people

total cost is the numer of people times 25 dollars each

Answer:

1/7

Step-by-step explanation:

The following information is missing:

Captain Nadia has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Tiffany and her merciless band of thieves.

If her ship hasn't already been hit, Captain Nadia has probability 1/2 of hitting the pirate ship. If her ship has been hit, Captain Nadia will always miss.

If her ship hasn't already been hit, dread pirate Tiffany has probability 2/7 of hitting the Captain's ship. If her ship has been hit, dread pirate Tiffany will always miss.

Let's call:

A: captain hits, P(A) = 1/2

A': captain miss, P(A') = 1 - P(A) = 1/2

B: pirate hits

We want to calculate P(A'∩B). This can be computed as follows:

P(A'∩B) = P(A')*P(B|A')

where P(B|A') means pirate hits given that captain miss. We know that P(B|A') = 2/7.  Replacing data into the equation:

P(A'∩B) = (1/2)*(2/7) =1/7

Look at the attached picture

hope it will help you

Diameter is 12. Diameter is radius times 2. 6 times 2=12

Answer:

12

Step-by-step explanation:

the diameter is 2x the radius, in this case we have 6 as the radius so naturally the diameter is 12

Answer:

B

Step-by-step explanation:

The transformation is proved through comparing the size of the bigger triangle to the smaller triangle in the individual sides. So the size of A F/ AB should be equal to AG / AC due to transformations making A F and AG the same times longer as AC and AB. By performing those calculations, you get 3.

Answer:

The amount financed under this mortgage is $185,600

Step-by-step explanation:

Alice took out an 80/20 mortgage on a $232,000 home.

80/20 mortgage means pay 20% down payment and 80% finance amount of home value.

Home value = $232,000

Now, we need to find finance amount from this hone value of $232,000

Let's calculate the 80% of $232,000 as finance amount;

Finance amount = 80% of 232000

 Finance amount  = 0.80 x 232000

Finance amount = 185,600

Hence, The amount financed under this mortgage is $185,600