QUESTION 1
The Senator of Azenator State, is worried about the rising numbers in high blood pressure related deaths in his
Jurisdiction and wants an end to this canker. A reputable medical research officer has claimed that, the
situation is probably as a result of the ageing population of his State. The blood pressures, Y (mmHg), and
Ages, X (years) of 10 hospital patients were sampled from Azenator State and summarized below.
Patient
A
B
C
DE
F
G
HI
J
Age (X) in Years
20 25 50
3045
60
10
15 35
70
BP(Y) in (mmHg) 80 85 125
90 100 135 80 70 100 140
NB: Approximate to 2 decimal places
Use the table to answer the questions that follow,
Calculate the product moment correlation coefficient for the data and interpret your result.
(3 Marks)​

Answer:

45

Step-by-step explanation:

19+26 fences equal 45

Answer:

1+1=2

Step-by-step explanation:

Answer:

Amount of crimson velvet left = 3200 -  120 - 1400 = 1680  cm

Step-by-step explanation:

The arts and craft shop has a bolt of crimson velvet of 32 meters long. A customer bought 120 centimetres of the velvet. In the afternoon another customer bought 14 meters. The remaining length of crimson velvet Malik shop possess after the morning and afternoon sales can be calculated below.

The total length of the crimson velvet = 32 meters. Since our answer should be in centimetre we will convert all the units to cm.

total length = 32 m

1 m = 100 cm

32 m = ?

cross multiply

total length in cm = 32 × 100 = 3200 cm

The first customer bought 120 cm

The second customer bought 14 m so let convert again.

1 m = 100 cm

14 m = ?

cross multiply

the second customer length in cm = 14 × 100 = 1400 cm

The amount left in the shop will be as follows

Amount of crimson velvet left = 3200 -  120 - 1400 = 1680  cm

Answer:

  xy²z³

Step-by-step explanation:

An exponent is a way to indicate the number of times the factor is repeated. When it is 1, it is rarely shown.

  x is repeated once, so will appear without an exponent

  y is repeated twice, so will have an exponent of 2

  z is repeated 3 times, so will have an exponent of 3

__

  xyyzzz = xy²z³

_____

In plain text, an exponent is indicated with a caret (^).

  xy^2z^3

Answer:

C

Step-by-step explanation:

In the attached file

Answer:

3/19

Step-by-step explanation:

Answer:

im havijn trouble 2Step-by-step explanation:

idkmsorry

Answer:

  x = 10

Step-by-step explanation:

Combining the logarithms, you have ...

 ln(20·5) = ln(x²)

  100 = x² . . . . . take the antilogs

  10 = x . . . . . . . take the positive square root

_____

Alternate solution

  ln(2·2·5) +ln(5) = 2·ln(x) . . . . . . . factor 20

  2ln(2) +ln(5) +ln(5) = 2·ln(x) . . . . rearrange ln(20)

  ln(2) +ln(5) = ln(x) . . . . . . . . . . . . divide by 2

  ln(10) = ln(x) . . . . . . . . . . . . . . . . combine logs on the left

  10 = x

_____

These solutions make use of the rules of logarithms ...

  ln(ab) = ln(a) +ln(b)

  ln(a²) = 2·ln(a) . . . . . same as the first rule for a=b

Answer:

The equivalent expression is: (6x + 5)*(6x - 5)

Step-by-step explanation:

This expression is called the difference of two squares.

It has the following format: [tex]a^{2} - b^{2}[/tex]

It is factored as: [tex]a^{2} - b^{2} = (a-b)*(a+b)[/tex]

In this question:

[tex]a^{2} - b^{2} = 36x^{2} - 25[/tex]

So

[tex]a^{2} = 36x^{2}[/tex], then [tex]a = \sqrt{36x^{2}} = 6x[/tex]

[tex]b^{2} = 25[/tex], then [tex]b = \sqrt{25} = 5[/tex]

So

The equivalent expression is: (6x + 5)*(6x - 5)

Answer: (6x)^2 − (5)^2

Step-by-step explanation:

edge. 2022 got it right

Answer:

(1) Alternate Hypothesis.

(2) Null Hypothesis.

(3) Alternate Hypothesis.

(4) Null Hypothesis.

(5) Alternate Hypothesis.

Step-by-step explanation:

A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.  

It is a hypothesis of no difference.

It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.

Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.

The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.

It is also known as the research hypothesis and is denoted by Hₐ.

(1)

The hypothesis statement is:

"The number of hours that grade-school children spend doing homework predicts their future success on standardized tests."

According to the hypothesis statement, we known that the test to be performed is for the relationship between the number of hours that grade-school children spend doing homework and their future success on standardized tests.

So, the null hypothesis here will be that there is no relation between the two variables, or the number of hours that grade-school children spend doing homework does not predicts their future success on standardized tests.

Thus, the provided statement is a Alternate hypothesis.

(2)

The hypothesis statement is:

"King cheetahs on average run the same speed as standard spotted cheetahs."

According to the hypothesis statement, we known that the test to be performed is for the difference between the mean running speed of king cheetahs and spotted cheetahs.

The statement provided is a statement of no difference, i.e. there is no difference between the mean running speed of king cheetahs and spotted cheetahs.

Thus, the provided statement is a Null hypothesis.

(3)

The hypothesis statement is:

"The mean length of African elephant tusks has changed over the last 100 years."

According to the hypothesis statement, we known that the test to be performed is for the significance of single mean.

The null hypothesis here would be there is no change in the mean length of African elephant tusks over the last 100 years.

Thus, the provided statement is a Alternate hypothesis.

(4)

The hypothesis statement is:

"The risk of facial clefts is equal for babies born to mothers who take folic acid supplements compared with those born to mothers who do not."

According to the hypothesis statement, we known that the test to be performed is for the difference between the proportion of risk of facial clefts for babies born to mothers who take folic acid supplements and with those born to mothers who do not.

The null hypothesis here would be that there is no difference between the two risk proportions.

Thus, the provided statement is a Null hypothesis.

(5)

The hypothesis statement is:

"Caffeine intake during pregnancy affects mean birth weight."

According to the hypothesis statement, we known that the test to be performed is for the significance of single mean.

The null hypothesis of this test will be that the mean birth weight is not affected by the caffeine intake during pregnancy.

Thus, the provided statement is a Alternate hypothesis.

Answer:

905

Step-by-step explanation:

So your original equation is f(x) = x² + 5

First lets work with the stuff inside the parentheses.

f(5) = 5² + 5 = 30

So now you are finding,

f(f(5)) => f(30)

f(30) = 30² + 5 = 900 + 5 = 905

Answer:

A. [tex]G(x) = 7x^2[/tex]

D. No, because one x-value corresponds to two different y-values.

Step-by-step explanation:

If you were to vertically stretch the quadratic parent function, the correct answer would be "A," because you are stretching upwards, which in turn, also changes the y-values.

As you can see in the table, the x-value of 3 repeats, which cannot occur. Each input (x-value) can go to only one output (y-value). As a result, the table does not represent a function.

Answer:

Use interval estimation to compute the average weight of fish living in a large pond.

Step-by-step explanation:

In statistic, point estimation comprises of the use of sample data to estimate a distinct data value (known as a point estimate) which is to function as a "best guess" or "best estimate" of an unidentified population parameter.  

The point estimate of the population mean (µ) is the sample mean ([tex]\bar x[/tex]).

Now according to the law of large numbers, in probability concept, states that as we increase the sample size, the mean of the sample ([tex]\bar x[/tex]) approaches the whole population mean (µ).

That is, [tex]\bar x[/tex] →  µ as n → ∞.

The scientist uses the weights of 25 fish from the pond to find the average weight.

The sample is large, but not large enough.

So, use interval estimation to compute the average weight of fish living in a large pond.

The interval estimation is the best way to estimate the true value of a parameter. This is because the interval of values computed for the parameter has certain probability of containing the true parameter value.

The (1 - α)% confidence interval for population mean is an interval estimate.

Answer:

x = 5; y = 138, z= 42

Step-by-step explanation:

4x- 17 = 3 [ opposite sides of a parallelogram are equal]

4x = 3+ 17 = 20; X= 20/4 = 5

138 + Z = 180( angle on a straight line)

Z is an alternate angles to the remaining angle off 138 forming the straight line.

z= 180-138 = 42 degrees

Y = 138 [ opposite angles of a regular quadilareral been equal]

Answer:

Area = base × height

31.5 = base × 6.3

base = 5 ft

Answer:

5 feet

Step-by-step explanation:

The area formula is A = b * h, where A is the area, b is the length of the base, and h is the height. Since we want to know the length of the base, we are solving for b. Thankfully, we know that A = 31.5 and h = 6.3. When we plug them into the equation, we get 31.5 = b * 6.3. Because we want b on one side without any coefficients and numbers on the other side, we can divide the equation by 6.3 on both sides. The equation will remain the same because we are doing the same thing to both sides. When we divide, we get b = 31.5 / 6.3 = 5 feet. Hope this helps!

Answer:

With replacement, 0.037, independent

Without replacement, 0.031, dependent

Step-by-step explanation:

There are 5 vowels (not including y).

The probability the first letter is a vowel is 5/26.

With replacement, the probability the second letter is a vowel is also 5/26.

The total probability is (5/26) (5/26) = 0.037.

Since the first letter is replaced, the probability of the second letter is not affected, so the events are independent.

Without replacement, the probability the second letter is a vowel is 4/25.

The total probability is (5/26) (4/25) = 0.031.

Since the first letter is not replaced, the probability of the second letter is affected, so the events are dependent.

Answer:

a = 250 ; b = 10

Step-by-step explanation:

a = 5 × 10² / 2

a = 5 × 100 / 2

a = 500 / 2

a = 250

b = 2 × 10² (10-5) / 10×10

b = 2 × 100 × 5 / 100

b = 1000 / 100

b = 10

Answer:

2√70

Step-by-step explanation:

√280

Simplify:

Take out 4

2√70

Answer:

16.7332005307

Step-by-step explanation:

Rewrite  280  as  2 ^(2) ⋅ 70 .

Factor  4  out of  280 .

√ 4 ( 70 )

Rewrite  4  as  2^(2) .

√ 2 ^(2 )⋅ 70

Pull terms out from under the radical.

2√ 70

The result can be shown in multiple forms.

Exact Form:

2 √ 70

Decimal Form:

16.73320053....

Answer:

7 lbs   4 oz

Step-by-step explanation:

6 lb 10 oz

   + 10 oz

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

6 lbs  20 oz

But we know that there are 16 oz in 1 lb

So subtract 16 oz and add 1 lb

6 lbs  20 oz

+1 lb   - 16 oz

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

7 lbs   4 oz

Answer:

its 7.5

Step-by-step explanation: subscribe when i have channel set

Answer:

D. = 8.1

Step-by-step explanation:

In the attached file

Answer:

D.

Step-by-step explanation:

In the attached file

The surface area of the new figure is,

⇒ 1550 cm²

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

Given that;

The surface area of a figure is 62cm².

And, the dimensions are multiplied by 5.

Here, The surface area of a figure is 62cm².

After multiply by 5, surface area of the new figure is,

⇒ 5² × 65

⇒ 25 × 65

⇒ 1550

Thus, The surface area of the new figure is,

⇒ 1550 cm²

Learn more about multiplication visit:

https://brainly.com/question/1135170

#SPJ6

Answer: the numbers are 5,111.3 and 35.74

Step-by-step explanation:

I will answer this in English.

We have the numbers X and Y, ad we have that:

X + 2*Y^2 = 7776

X = 7776 -  2*Y^2

Now we also want that the product of X and Y is a maximum.

The equation of maximum product is

P(Y) = X*Y = (7776 -  2*Y^2)*Y

       = 7776*Y - 2*Y^3

Now, to find the maximum we must derivate and find the value where P'(Y) is equal to 0

P'(Y) = 7776 - 6*Y^2 = 0

7776 = 6*Y^2

Y = √(7776/6) = 35.74

Now, we replace this value in the equation for X and we can find X:

X = 7776 -  2*Y^2  = X = 7776 -  2*(35.74)^2 = 5,111.3

Answer: what is the question?

Step-by-step explanation:

Answer:

So the value of h and r are both 1 inch

Step-by-step explanation:

Volume of a cylinder = πr²h

Volume of the cylinder = 3.14 ft³

And π = 3.14

Dividingthrough by π

r²h = ft³

So the possible out come of r and h is only one because r² must be equal to one and the product of the two must be equal to one.

So the value of h and r are both 1 inch

Answer:3 ft

Step-by-step explanation:

Answer:

i think is 64

Step-by-step explanation:

Answer:

67

Not exactly sure on how to write it in though

Step-by-step explanation:

Answer:

P(seventh grade winner) = 3/8

Step-by-step explanation:

Answer: A

I just love your questions. You always put "No guessing" haha.

Step-by-step explanation:

[tex]f(x)=3^x+10x\\g(x)=2x-4[/tex]

[tex](f+g)(x)=[/tex]

This basically means you have to take both functions and add them together.

[tex](f+g)(x)=(3^x+10x)+(2x-4)\\(f+g)(x)=3^x+10x+2x-4\\[/tex]

Combine like terms;

[tex](f+g)(x)=3^x+12x-4[/tex]

Answer:

288π inch³

Step-by-step explanation:

V=4

/3πr³

by substituding in formulae

4/3*216π

=288π inch³

hope this helps

plzz mark me brainliest