I NEED HELP PLEASE, THANKS! :)

Answer:

60

Step-by-step explanation:

if ts = 10 and sp = 10, use the formula 1/2 b x h therefore it will be 5 x 12=60, or 10 x 6 = 60. So the answer of the area of triangle tsp is 60.

Answer:

Base = 6 feet

Step-by-step explanation:

Area of Triangle = [tex]\frac{1}{2} Base*Height[/tex]

For finding Base:

Base = [tex]\frac{2(Area)}{Height}[/tex]

Where Area = 15, Height = 5

Base = [tex]\frac{2(15)}{5}[/tex]

Base = 2*3

Base = 6 feet

Answer:

The base is 6 feet long.,

Step-by-step explanation:

Area of a triangle = 1/2 * base * height so we have

1/2 b h = 15

1/2 b * 5 = 15

2.5 b = 14

b = 15/2.5

b = 6 feet.

Answer:

75%

Step-by-step explanation:

The numbers that are not 5 are 6, 7, and 8.

3 numbers are not 5 out of 4 total numbers on the spinner.

3/4 = 0.75

= 75%

Answer:

75%

Step-by-step explanation:

Total no.s = 4

Divided in parts = 25%

P(not 5) = 75%

Answer:

(a)Food-12%

9b)Transportation-17%

Step-by-step explanation:

In the Year 2000

Therefore:

(a)Percentage of the average household income in 2000 was spent on food

[tex]=\dfrac{5158}{44649} \times 100\\\\=11.55\%\\\\\approx 12\% $(to the nearest percent.)[/tex]

(b)Percentage of the average household income in 2000 was spent on transportation

[tex]=\dfrac{7,417}{44649} \times 100\\\\=16.6\%\\\\\approx 17\% $(to the nearest percent.)[/tex]

Answer:

I hope this will help you :)

Step-by-step explanation:

6+(-x)+2x(-7)+2x

6-x+2x✖️(-7)+2x

6-x-14+2x

6-14-x+2x

-8+x

Answer:

Weight of Large Box = 18.5 kg

Weight of Large Box = 13.25 kg

Step-by-step explanation:

Given:

There are two types of boxes i.e. Large and Small

Let the weight of Large boxes = L kg

Let the weight of Small boxes = S kg

As per given statement:

Writing equation for above:

[tex]8L + 4S = 201[/tex] ....... (1)

Writing equation for above:

[tex]3L + 2S = 82 ....... (2)[/tex]

Now, by solving the equations (1) and (2), we can get the values of L and S.

Multiplying equation (2) with 2 and subtracting from equation (1):

[tex]8L + 4S = 201[/tex]

-

[tex]2 \times (3L + 2S) = 82 \times 2[/tex]

[tex]8L + 4S = 201[/tex]

-

[tex]6L + 4S = 164[/tex]

--------------------

[tex]2L = 37[/tex]

L = 18.5 Kg

Putting value of L in equation (1):

[tex]8 \times 18.5 + 4S = 201\\\Rightarrow 148 + 4S = 201\\\Rightarrow 4S = 201 - 148\\\Rightarrow 4S = 53\\\Rightarrow S = 13.25\ kg[/tex]

So, the answer is:

Weight of Large Box = 18.5 kg

Weight of Large Box = 13.25 kg

Answer:

Total Weight of all the five boys is 234 kg.

Step-by-step explanation:

Given that there are five boys.

They have weighed themselves in pairs in all possible combinations.

And their weights are: 88 kg, 90 kg, 91 kg, 92 kg, 93 kg, 94 kg, 95 kg, 96 kg, 98 kg and 99 kg

To find: Total weights of the five boys = ?

Solution:

First of all, we need to find the total number of pairs that can be formed from a total of 5 number of boys.

Total number of pairs possible = [tex]_5C_2 =10[/tex]

If we select one boy, there are 4 other boys with whom pairs can be formed.

So, every boy's weight is repeated 4 number of times in these 10 pairs.

If we add all the 10 measured weights given and then divide them with 4 we will get the total weight of the five boys.

[tex]\text{Total weight of boys = } \dfrac{88+90+91+92+93+94+95+96+98+99}{4}\\\Rightarrow \text{Total weight of boys = } \dfrac{936}{4}\\\Rightarrow \text{Total weight of boys = } 234\ kg[/tex]

So, Total Weight of all the five boys is 234 kg.

Answer:

x = 40

Step-by-step explanation:

x+1= 3x-79

Subtract x from each side

x-x+1= 3x-x-79

1 = 2x -79

Add 79 to each side

1+79 = 2x-79+79

80 = 2x

Divide by 2

80/2 = 2x/2

40 =x

Answer:

X= 40

Step-by-step explanation:

x+1 = 3x -79 reorganize. I combined 3 steps to get this:

3x -x = 1 + 79

2x = 80

X = 40

Not sure why that is not a choice!

Answer:

Step-by-step explanation:

Part A

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Answer: -37%

Step by Step Sol: 100=x

10% of 100 equals 10

100-10 = 90

30% of 90 equals 27

90-27 = 63

63-100 equals -37

The temperature decreased by 37% if the temperature changed if; at first it decreased by 10%.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

The temperature change if; at first, it decreased by 10 % and then decreased by 30%

Let x be the initial temperature

= (100 - 10) = 90%   (first it decreased by 10%)

= 90% of x

= 0.90x

Then decrease by 30 percent,

= 100 - 30 = 70%

= (0 .90x)× 0.70

= 0.63x

The original percentage left 63%

= 100 - 63 = 37

Thus, the temperature decreased by 37% if the temperature changed if; at first it decreased by 10%.

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Answer:

12 because of a 40 percent of 20 as 12 we know that there is a possiblity of almost all of the 12 to be 1967.

Step-by-step explanation:

Answer:

growing at a rate of 200% an hour

Step-by-step explanation:

I am going to assume that binary fission occurs 4 times an hour.

I need the equation first. 4 hours, 1 time an hour per bacteria.

I'm confused a bit, you were kinda vague. Contact me if you can give me more info, and I will be happy to help.

Answer:

slope = [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, - 5) and (x₂, y₂ ) = (7, 1)

m = [tex]\frac{1+5}{7-2}[/tex] = [tex]\frac{6}{5}[/tex]

The required slope of the line passes through the points (2, -5) and (7, 1) is m = 6/5

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:

m = (y2 - y1) / (x2 - x1)

Let's apply this formula to the given points:

m = (1 - (-5)) / (7 - 2)

m = 6 / 5

Thus, the required slope of the line passes through the points (2, -5) and (7, 1).

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Answer:

400

Step-by-step explanation:

The manufacturer spends $5 to make each widget and sells them for $8.  This means that each widget gives him a profit of $3.

8 - 5 = 3

You need to figure out how many widgets it will take for the manufacturer to make up for the costs each month ($1200).

3x = 1200

(3x)/3 = 1200/3

x = 400

The manufacturer needs to sell 400 widgets.

Answer:

Step-by-step explanation:

He sells them 8 dollars and uses 5 dollars worth of material.

His profit is 8 - 5 = 3 dollars.

He has to sell enough to overcome the 1200 dollars.

1200 / 3 = 400

He breaks even after selling 400 widgets.

━━━━━━━☆☆━━━━━━━

▹ Answer

A ≈ 78.54

▹ Step-by-Step Explanation

A = πr²

A = π5²

A ≈ 78.54

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

Hey there!

The area of a circle can  be given by the formula: [tex]\pi r^2[/tex], where r is the radius, and pi is approximately 3.14

The radius is 5, so we have

3.14 (5^2)

3.14 (25)

78.5

Hope this helps :)

Answer:

[tex]X \sim N(\mu, \sigma)[/tex]

And from this case we can see that the deviation is given by:

[tex]\sigma = 3[/tex]

Step-by-step explanation:

For this case we have the following notation given:

[tex] X \sim N (5,3)[/tex]

And from this we know that the distribution for the random variable is normal and we know that in general the normal distribution is given by:

[tex]X \sim N(\mu, \sigma)[/tex]

And from this case we can see that the deviation is given by:

[tex]\sigma = 3[/tex]

Answer:

4/ (x+3)

Step-by-step explanation:

The sum of x and 3

(x+3)

4 is divided by the above

4/ (x+3)

Answer: C

Step-by-step explanation:

Use the multiplication rule for matrices - Multiply 1st row of first matrix with 1st column of second matrix and find their sum. Repeat for each row and column.

      A        x        B

[tex]\left[\begin{array}{cc}1&5\\-3&4\end{array}\right] \times \left[\begin{array}{cc}2&6\\6&-1\end{array}\right]=\left[\begin{array}{cc}1(2)+5(6)&1(6)+5(-1)\\-3(2)+4(6)&-3(6)+4(-1)\end{array}\right]\\\\\\.\qquad \qquad \qquad \qquad \qquad \quad =\left[\begin{array}{cc}32&1\\18&-22\end{array}\right][/tex]

Answer:

b. The null and alternative hypothesis are:

[tex]H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0[/tex]

c. Student's t distribution, as it is a two-sample test for the difference between means.

d. Test statistic t = 5.42.

P-value = 0

e. They appear to be significantly different, as the sample data gives strong evidence that the difference is greater than 0.

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the mean life spans in the county is significantly different for whites and nonwhites.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0[/tex]

The significance level is 0.05.

The sample 1 (white), of size n1=124 has a mean of 45.3 and a standard deviation of 12.7.

The sample 2 (non-white), of size n2=82 has a mean of 34.1 and a standard deviation of 15.6.

The difference between sample means is Md=11.2.

[tex]M_d=M_1-M_2=45.3-34.1=11.2[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12.7^2}{124}+\dfrac{15.6^2}{82}}\\\\\\s_{M_d}=\sqrt{1.301+2.968}=\sqrt{4.269}=2.066[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{11.2-0}{2.066}=\dfrac{11.2}{2.066}=5.42[/tex]

The degrees of freedom for this test are:

df=n_1+n_2-2=124+82-2=204

This test is a two-tailed test, with 204 degrees of freedom and t=5.42, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=2\cdot P(t>5.42)=0.0000002[/tex]

As the P-value (0.0000002) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the mean life spans in the county is significantly different for whites and nonwhites.

Answer:

800

Step-by-step explanation:

Answer:

support: 25%*100 > 10%*50

refute: 25%*50 < 10%*200

Step-by-step explanation:

0.25*100=25 > 0.10*50=5

0.25*50=12.5 < 0.10*200=20

is this what u need.....

Answer:

4 and 4

Step-by-step explanation:

We have 2 numbers that will be X and Y

X * Y = 16 => Y = 16 / X

We must minimize the sum, therefore:

S = X + Y

S = X + 16 / X

we derive and equal 0 and we are left with:

dS / dA = 1 - 16 / (X ^ 2) = 0

1 = 16 / X ^ 2

X ^ 2 = 16

X = 4

in the case of Y:

Y = 16/4 = 4

Therefore the numbers are 4 and 4.

The two positive numbers are 4 and 4

Let the two numbers be x and y

If the product of both numbers is 16, hence;

xy = 16 ........................... 1

If the sum will be at the minimum, hence x + y = minimum

From equation1, x = 16/ y

Substitute into the second equation to have;

16/y + y = A(y)

A(y) = 16/y + y

For the expression to be at a minimum, hence dA/dy = 0

dA/dy = -16/y² + 1

0 = -16/y² + 1

0 - 1 =  -16/y²

-y² = -16

y = √16

y = 4

Recall that xy = 16

4x= 16

x = 4

Hence the two positive numbers are 4 and 4

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Answer:

3/4

Step-by-step explanation:

There are 3 numbers greater than 1. 2, 3, and 4. Since there are 4 numbers total, we get a 3/4 chance.

Answer:

3/4

Step-by-step explanation:

There are four options and 3 of them =3 or greater than 1

P(3 or greater than 1) = 3/4

Answer:

Event 3 -> Event 1 -> Event 4 -> Event 2

Step-by-step explanation:

The probability of choosing a certain pen is the number of that pen in the box over the total number of pens in the box.

So we have that:

Event 1: We have 4 black pen and 20 total pens, so P = 4 / 20 = 1 / 5

Event 2: All pens are black or orange so the probability is 1.

Event 3: We don't have white pens, so the probability is 0.

Event 4: We have 2 black pen and 5 total pens, so P = 2 / 5

Listing from least likely to most likely, we have:

Event 3 -> Event 1 -> Event 4 -> Event 2

Answer:

You have to multiply 3 x 6.

Step-by-step explanation:

[tex]3/\frac{1}{6} \\Flip\\3*\frac{6}{1} \\3*6[/tex]

Hope this helped! :)

To find the quotient of 3 divided by one-sixth, multiply 3 by 6

Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division,

An algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.

Given:

3 ÷ 1/6

As, division in fraction is not possible.

So, we will change sign of division into multiplication and reciprocal the number on right of sign.

Thus, 3 ÷1/6

=3*6

=18

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Answer:

Stratified sampling

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Population divided into groups. Some members of each group are surveyed. This is stratified sampling

Answer:

ab-3a+5b-15

Step-by-step explanation:

Once again, FOIL is the way to go!

First, Outside, Inside, Last

ab-3a+5b-15

Answer:

apply de disruptive property by multiplying each term a+5by each term b-3

[tex]ab - 3a + 5b - 15[/tex]

Answer:

B. Step 3

Complete question found on chegg:

Select the correct answer.

A mistake was made in the steps shown to simplify the expression.

Which step includes the mistake?

9/2 + 3(4-1) -7 + 2³

Step 1: 9/2 + 3(3) -7 + 2³

Step 2: 9/2 + 3(3) -7 + 8

Step 3: 15/2 (3) -7 + 8

Step 4: 45/2 -7 + 8

Step 5: 31/2 + 8

Step 6: 47/2

A. Step 4

B. Step 3

C. Step 1

D. Step 5

Step-by-step explanation:

To determine where the mistake occurred let's solve the expression ourselves and compare with answer L's given.

9/2 + 3(4-1) -7 + 2³

Using BODMAS = Bracket, Of, Division, Multiplication, Addition and Subtraction.

Step 1: solve for the value in the bracket. 4-1 =3

9/2 + 3(3) -7 + 2³

Step 2: find the value of 2³

2³ = 2×2×2 = 8

9/2 + 3(3) -7 + 8

Step 3: add 9/2 and 3(3)

9/2 + 3(3) = 9/2 + 9 = (9+18)/2

= 27/2 = (9/2)(3)

9/2 (3) -7 + 8

Step 4: open the bracket

27/2 -7 + 8

Step 5: subtract 7 from 27/2

= (27-14)/2 = 13/2

13/2 + 8

Step 6: add 13/2 and 8

13/2 + 8 = (13+16)/2 = 29/2

From the above calculation, the mistake occurred in (B) Step 3

Answer:

B. Step 3

Complete question found on chegg:

Select the correct answer.

A mistake was made in the steps shown to simplify the expression.

Which step includes the mistake?

9/2 + 3(4-1) -7 + 2³

Step 1: 9/2 + 3(3) -7 + 2³

Step 2: 9/2 + 3(3) -7 + 8

Step 3: 15/2 (3) -7 + 8

Step 4: 45/2 -7 + 8

Step 5: 31/2 + 8

Step 6: 47/2

A. Step 4

B. Step 3

C. Step 1

D. Step 5

Step-by-step explanation:

To determine where the mistake occurred let's solve the expression ourselves and compare with answer L's given.

9/2 + 3(4-1) -7 + 2³

Using BODMAS = Bracket, Of, Division, Multiplication, Addition and Subtraction.

Step 1: solve for the value in the bracket. 4-1 =3

9/2 + 3(3) -7 + 2³

Step 2: find the value of 2³

2³ = 2×2×2 = 8

9/2 + 3(3) -7 + 8

Step 3: add 9/2 and 3(3)

9/2 + 3(3) = 9/2 + 9 = (9+18)/2

= 27/2 = (9/2)(3)

9/2 (3) -7 + 8

Step 4: open the bracket

27/2 -7 + 8

Step 5: subtract 7 from 27/2

= (27-14)/2 = 13/2

13/2 + 8

Step 6: add 13/2 and 8

13/2 + 8 = (13+16)/2 = 29/2

=