wat os 1 ploos 6
plssssszzzz hewlp i have a test tommwwrow

Answer:

x =  ±sqrt(3/2)

Step-by-step explanation:

10x^2 - 6 = 9

Add 6 to each side

10x^2 - 6+6 = 9+6

10x^2 =15

Divide each side by 10

10x^2/10  = 15/10

x^2 = 3/2

Take the square root of each side

sqrt(x^2) = ±sqrt(3/2)

x =  ±sqrt(3/2)

Answer:

60000

Step-by-step explanation:

8572x7= 60004...

Rounded to the nearest 10 (Which I assume you wanted to happen) is: 60000

[If I am wrong I am very sorry, please message me]

Answer:

(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 41  

    Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 41

(b) The value of z test statistics is 1.08.

(c) We conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

Step-by-step explanation:

We are given that in a random sample of 40 such periods from Spanish colonial times, the sample mean is x¯ = 47.0. Previous studies of sunspot activity during this period indicate that σ = 35.

It is thought that for thousands of years, the mean number of sunspots per 4-week period was about µ = 41.

Let [tex]\mu[/tex] = mean sunspot activity during the Spanish colonial period.

(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 41     {means that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 41     {means that the mean sunspot activity during the Spanish colonial period was higher than 41}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

                            T.S. =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean = 47

            σ = population standard deviation = 35

            n = sample of periods from Spanish colonial times = 40

So, the test statistics  =  [tex]\frac{47-41}{\frac{35}{\sqrt{40} } }[/tex]

                                      =  1.08

(b) The value of z test statistics is 1.08.

(c) Now, the P-value of the test statistics is given by;

                P-value = P(Z > 1.08) = 1 - P(Z < 1.08)

                              = 1 - 0.8599 = 0.1401

Since, the P-value of the test statistics is higher than the level of significance as 0.1401 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

Answer:

$65,000 , $50,000 and $35,000

Step-by-step explanation:

Lets us assume the CDs be C, stocks be S and Bonds be B

Given that

Total scholarship fund received = $150,000

i.e

C + S + B = $150,000 ......................... (1)

Now the each items invested percentage is given

And, the annual income from investment is $10,805

So, the next equation is

0.06C + 0.022B + 0.117S = $10,805 ....................... (2)

And, it is mentioned that

The $15,000 more in bonds than in CDs

B = C + $15,000 ........................ (3)

Now put the equation 3 in equation C is

2C + S = $135,000  ........................... (4)

0.082C + 0.117S = $10,475 ........................... (5)

Now multiply the 0.117S in equation 4

So

0.234C + 0.117S = $15,795

0.082C + 0.117S = $10,475

After solving this

0.152C = $5,320

C = CDS = $35,000

So

B = $35,000 + $15,000

B=   Bonds = $50,000

And S = Stock = $65,000

Answer:

CDs = 35000, Bonds = 50000, Stock = 65000

Step-by-step explanation:

Let amount invested in : CDs be 'C' , stock be 'S' , bonds be 'B'

As per total funds : C + B + S = 150000 [E1]

As per interest rates : 0.06C + 0.022B + 0.117S = 10805 [E2]

Given (15000 more invested in bonds than CDs :  B = C + 15000 [E3]

Putting equations : [E3] in [E2] & [E1]

C + (C+15000) + S = 150000 → 2C + 15000 + S = 150000

0.06C+0.022(C+15000)+0.117S = 10805 → 0.06C+0.022C+330+0.117S = 10805

By putting value of S from [E4] in [E5] :

0.082C + 0.117 (135000 - 2C) = 10475 → 0.082C + 15795 - 0.234C = 10475

5320 = 0.152C  → C = 5320 / 0.152 = 35000 [CDs]

B = C + 15000 = 35000 + 15000 = 50000 [Bonds]

By [E1]: 35000+50000+S = 150000 → S = 150000 - 85000 = 65000 [Stocks]

Answer:

Step-by-step explanation:

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

H₀: u = 50

H₁: u ≠ 50

Null hypothesis: The production line produce bags of candy has an average of exactly 50 candies per bag.

Alternative hypothesis: The production line produce bags of candy does not have an average of exactly 50 candies per bag.

Note that these hypotheses constitute a two-tailed test. The null hypothesis will be rejected if the sample mean is too big or if it is too small.

Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method is a one-sample t-test.

Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).

SE = s / sqrt(n)

S.E = 1.0

Test Statistic

t = (x - u) / SE

t = - 2.0

DF = n - 1

D.F = 24

where s is the standard deviation of the sample, x is the sample mean, u is the hypothesized population mean, and n is the sample size.

Since we have a two-tailed test, the P-value is the probability that the t statistic having 24 degrees of freedom is less than -2.0 or greater than 2.0.

Thus, the P-value = 0.057

Statistic result

Interpret results. Since the P-value (0.057) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test we have sufficient evidence in the favor of the claim that the production line produce bags of candy with an average of exactly 50 candies per bag.

Answer:

I think it’s 240

Step-by-step explanation:

Hope this helps

Answer:

approx. 11.18 ft.

Step-by-step explanation:

formula: d=√L²+W²+H²

d=√5²+6²+8²

5²+6²+8²=125

√125 ≈ 11.18 ft

d(diagonal)= 11.18ft

Answer:

Step-by-step explanation:

Regression analysis is a statistical method that is used to examine the relationship between two or more variables.

There are many types of regression analysis which can be used to  examine the influence of one or more independent variables on a dependent variable.

to carry out regression analysis the analyst must carry out the following

Some of the various types of regression models are

The things that should be done before performing a regression analysis include:

It should be noted that a regression analysis simply refers to a statistical method which examines the relationship between two or more variables.

To do a regression analysis, plot the given data or information graphically and then obtain the line of best fit.

Learn more about regression on:

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Answer:

C                      

Step-by-step explanation:

Answer:

x=35

Step-by-step explanation:

62+2x+(x+13)=180

62+2x+x+13=180

3x+75=180

3x=180-75

3x=105

x=35

Answer:

9

Step-by-step explanation:

First lets find g(2) because thats inside the f equation.

g(x) = 2x-x^3

g(2) = 2(2) - (2)^3

g(2) = 4 - 8

g(2) = - 4

So now we are finding

f(g(2)) => f(-4)

f(x) = x^2 - 7

f(-4) = (-4)^2 - 7

Remember, because the square is outside the parentheses due to us plugging in a value, it becomes positive

f(-4) = 16 - 7

f(-4) = 9

Answer:

B.

Step-by-step explanation:

In the attached file

Answer:

The explanation below should guide you to solve it's

Step-by-step explanation:

x2 + y2 - 14x -18y +105 =0

Now the standard form a the equation of a circle is

(X-Xo)2 + (y-yo)2 = r2

The above expressions becomes

x2- 14x + (-14/2)2 - (- 14/2)2 + y2 -18y + (-18/2)2 - (-18/2)2 + 105 =0

The above manipulation does not alter the equation and it's a way of forming squares of a quadratic equation.

(x - 7)2 + (y - 9)2 -49 - 81 + 105 = 0

(x - 7)2 + (y - 9)2 -130 + 105 = 0

(x - 7)2 + (y - 9)2 -25 = 0

(x - 7)2 + (y - 9)2= 25

From the analysis above you can determine the centres of the circle denoted by Xo and Yo as well as the radius which is the square root of the expression at the right

Answer:

See explanation below.

Step-by-step explanation:

To make use of the tools they give you, start at the point (-5, -2) which you know is a point the line goes through, then draw a line that goes towards the right following the rule given by the slope "1/2" (rise/run) which means that every 2 units to the right, you go one unit up. so from the point -5 in x, you go to the point -3 in x, and from -2 in y you move up one unit to -1

Therefore the line joins (-5, -2) to the point (-3, -1)

Answer: 40°

Step-by-step explanation: angle XYW is 50°.XYW is made up of two angles XYZ and ZYW

So, XYZ+ZYW= XYW (equation 1)

Given XYZ= 10° and XYW= 50°

10°+ZYW= 50° (substituting the values of equation 1)

ZYW= 50-10

ZYW= 40°

PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)

(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)

Answer: A 1/10

Step-by-step explanation: edge 2021

Answer:

If you were to write that in an expression it would be 4m-7

Step-by-step explanation:

I think this is what you're looking for...hope it helps :)

Answer:

B-91%

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

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

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: arriving home after 7 p.m.

Event B: getting home by bus.

When he chooses to get home by bus, he arrives home after 7 p.m. 25 percent of the time.

This means that [tex]P(A|B) = 0.25[/tex]

Because the bus is cheaper, he uses the bus 70 percent of the time.

This means that [tex]P(B) = 0.7[/tex]

Probability of getting home after 7 p.m.

70% of the time he uses bus, and by bus, he arrives arrives home after 7 p.m. 25 percent of the time.

100 - 70 = 30% of the time he uses the car, and by car, he arrives home after 7 p.m. 6 percent of the time.

So

[tex]P(A) = 0.7*0.25 + 0.3*0.06 = 0.193[/tex]

What is the approximate probability that Matthew chose to get home from work by bus, given that he arrived home after 7 p.m.?

[tex]P(B|A) = \frac{0.7*0.25}{0.193} = 0.9067[/tex]

Rouding up, 91%.

So the correct answer is:

B-91%

Answer:

A) (-2,0) and (6,0)

B) (0,-12)

C) (2,-16)

Step-by-step explanation:

In the graph you see below, you can tell that the two x intercepts are at (-2,0) and (6,0), while the y intercept is at (0,-12). You can also see that the vertex is at (2,-16). Hope this helps!

The x intercept will be ( -2,0 ) and ( 6,0 ) , y intercept will be ( 0, -12 ) and vertex will be at ( 2 , -16 ).

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

Given the function,

f(x)=x²-4x-12

A) x-intercept;

For the x-intercept, the value of y or f(x) will be 0 so.

0 = x² -4x -12 ⇒ x = -2 , 6

So

x-intercept will be ( -2,0 ) and ( 6,0 ).

B) y-intercept

At the y-intercept the value of x will be 0 so

f(x) = -12

So

The y-intercept will be ( 0, -12 ).

C) Vertex

For vertex the slope will be 0 so

f'(x) = 0 ⇒ 2x - 4 = 0 ⇒ x = 2

The value of y at x = 2 will be

f(2) = -16

so

vertex will be at ( 2, -16 ).

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Answer:

[tex] E(X)= 0*0.1 +1*0.3 +2*0.4 +3*0.2 [/tex]

And adding the values we got:

[tex] E(X) =0 +0.3 +0.8 +0.6 = 1.7[/tex]

So then the expected value for this random variable would be [tex] E(X) =1.7[/tex]

Step-by-step explanation:

For this case we have the following probability distribution given:

X       0     1      2     3

P(X)  0.1  0.3  0.4  0.2

And for this case the expected value with the following formula:

[tex] E(X) =\sum_{i=1}^n X_i P(X_i)[/tex]

And replacing we have:

[tex] E(X)= 0*0.1 +1*0.3 +2*0.4 +3*0.2 [/tex]

And adding the values we got:

[tex] E(X) =0 +0.3 +0.8 +0.6 = 1.7[/tex]

So then the expected value for this random variable would be [tex] E(X) =1.7[/tex]

Answer:

36

Step-by-step explanation:

15 divided by 5 would = 3

3 is the cost of 1 cupcake

3 x 12 is 36

Answer:

36

Step-by-step explanation:

The pattern is times 3 so 12 times 3 is 36

Answer:

1.5

Step-by-step explanation:

5/8 + 7/8= 1.5 or 1  1/2

Answer:

Read below.

Step-by-step explanation:

First fridge: [tex]\frac{8}{8} -\frac{5}{8} =\frac{3}{8}[/tex]

Second fridge: [tex]\frac{8}{8} -\frac{1}{8} =\frac{7}{8}[/tex]

[tex]\frac{7}{8} +\frac{3}{8} = \frac{10}{8} = 1 \frac{2}{8}=1\frac{1}{4}[/tex]

Combined [tex]1 \frac{1}{4}[/tex] fridge space is left.

Answer:

Step-by-step explanation:

Given infinite geometric series

We see that

Sum of the series

Answer:5/4

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Take 4 times 2.5 since 25 / 10 = 2.5

4 x 2.5 = 10

Answer:The correct answer for the given mathematics question above would be f < g. The interval wherein the value of (f-g)(x) is negative is f < g. A function is negative on intervals when the graph line lies below the x-axis. On the other hand, a function is positive on intervals when the graph line lies above the x-axis. 

Step-by-step explanation:

Answer:

The Point C shows the location of 5-2i in the complex plane: 5 points to the right of the origin and 2 points down from the origin.

Step-by-step explanation:

We have the complex number 5-2i and we have to show the location of the point that represents that number in the complex plane

In the complex plane the real numbers are located in the horizontal axis, increasing to the right. The positives real numbers are at the right of the origin and the negatives to the left.

The complex numbers are located in the vertical axis, with the positives over the origin and the negatives below the origin.

This complex number 5-2i is the sum of a real part (5) and a imaginary part (-2i), so the point will be 5 units rigth on the horizontal axis (for the real part) and 2 units down in the vertical axis (for the imaginary part).

Answer:

c. point c

Step-by-step explanation:

Answer:

a) 332640 ways

b) 462 ways

Step-by-step explanation:

Order:

If the order of the choices matters, we use the permutations formula. If they do not matter, we use the combinations formula.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

Combinations formula:

[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]

In this question:

6 objects, from a set of 11.

a) Order matters, so permutation.

[tex]P_{(11,6)} = \frac{11!}{(11-6)!} = 332640[/tex]

b) Order does not matter, so combinations.

[tex]C_{11,6} = \frac{11!}{6!(11-6)!} = 462[/tex]

Answer:

We can replace the 'm' with the value of 'm' on the table to get the value of 't'.

Using the equation [tex]t=0.5m+15[/tex] from the first part of the question to complete the table:

[tex]t=0.5(5)+15\\\rightarrow 0.5*5 = 2.5\\t=2.5 + 15\\t=17.5[/tex]

[tex]t=0.5(15)+15\\\rightarrow 0.5 * 15 = 7.5\\t=7.5+15\\t=22.5[/tex]

Hope this helps.

Answer:

A = 13.0

Step-by-step explanation:

In the attached file

Answer:

A. 9 miles

Step-by-step explanation:

if you flip one of the sides to be to be diagonal then it is the same length as the road.

Answer:

5/y-3z

Step-by-step explanation:

Quotient is division

Product is multiplication

please mark brainliest

The equivalent value of the expression is A = 5/y - 3z

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.

Given data ,

Let the expression be represented as A

Now , the value of A is

A = quotient of 5 and y, decreased by the product of 3 and z

Now , quotient of 5 and y = 5/y

And , product of 3 and z = 3z

So , On simplifying the expression , we get

A = 5/y - 3z

Hence , the equation is A =  5/y - 3z

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Answer:

Congruent

Step-by-step explanation:

Answer:

I think is congruent, but I m not sure