Pamela is 14 years younger than Jiri. The sum of their age is 70. What is Jiri’s age?

Answer:

12 dollars

Step-by-step explanation:

This means the cost of the item to you is $12. You will pay $12 for a item with original price of $15 when discounted 20%. In this example, if you buy an item at $15 with 20% discount, you will pay 15 - 3 = 12 dollars.

Answer:

$4.50

Step-by-step explanation:

We know that there are sunglasses has a price of fifteen dollars.

We also know that said glasses are on sale for 30% off.

We need to find the sale price of these sunglasses.

When you need to find a certain sale price for an item, you need to multiply the original price by the percent it's on sale for.

[tex]OGprice * percent -off[/tex]

[tex]15*30[/tex]%

[tex]4.5[/tex]

Therefore, the sale price is 4 dollars and 50 cents.

Answer:

212

Step-by-step explanation:

hope you will understand

Answer:

A right angled Triangle

Answer:

I think E im not sure which other one.

Step-by-step explanation:

Answer:

A and E

Step-by-step explanation:

hope this helps and hope you get a good score on your assignment/test/quiz

Answer:

113

Step-by-step explanation:

Answer:

[tex] \sqrt{49 + 121} = \sqrt{170} [/tex]

No , The side lengths of the triangle does not form a Pythagorean triple

The value of x = 13.038 = √170

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be ΔABC

Now , the base of the triangle BC = 11

The height of the triangle AB = 7

The hypotenuse of the triangle AC = x

Now , the length of AC can be calculated from the Pythagoras Theorem

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

And , AC² = AB² + BC²

Substituting the values in the equation , we get

AC² = 11² + 7²

AC² = 121 + 49

AC² = 170

Taking square roots on both sides of the equation , we get

The value of AC = √170

The value of AC = 13.038

Therefore , the value of x = 13.038

Hence ,

No , The side lengths of the triangle does not form a Pythagorean triple

The value of x = 13.038 = √170

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Answer:

0.63 should be your answer

Answer;

0.6333333

Step-by-step explanation:

I think it's helps you

Answer:

7. 5

6. 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the numbers in the Venn diagram we get answers:

Answer:

The area would be:-

(x-2) multiplied by (2x-1)

So, the answer would be

= [tex]2x^{2} -5x + 2[/tex]

Answer:

The cost of one petunia is

⇒(6-6.5)/(8-8)

⇒-0.5/6

⇒-1/12

hope it helps..

have a great day!!

Answer:

173,740

Step-by-step explanation:

no need explanation

Answer:

2 61/162

Step-by-step explanation:

Answer:

Sry I don't know yrrrrrrrrrrrr

Answer:

C) It will not change

Hope this helps! :)

Answer:

18$

Step-by-step explanation:

2 tuna sandwiches= 14$

1 tuna sandwich= 14÷2 = 7$

1 tuna sandwich + 1 chicken sandwich = 16$

7$ +1 cs= 16$

1 chicken sandwich = 16$- 7$

1 chicken sandwich = 9$

2 chicken sandwiches = 9x2 = 18$

The answer is D

Step-by-step explanation:

The graph B is correct.

The pictorial representation of data is called the graph.

Given that, Vicky gives 1 hour reviewing each old chapter and 1.5 hours learning each new chapter.

She spends at least 10 hours per week studying French.

We need to find the graph for this relation,

Let the number of old chapters Vicky reviews be x, and new chapters Vicky learns be y,

Therefore,

x + 1.5 y ≥ 10

Put the graph for the same.

Since the inequality sign is '≥' so the shaded part will be above the line and the inequality sign involves both equal and inequality so the line will be solid line without the dash.

We get the second graph is the correct graph.

Hence the graph B is correct.

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Answer:

The answer is 11.8

Step-by-step explanation:

The value of x and y is 12.2 and 11.8 respectively.

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

According to the given question.

We have a right angled triangle.

In which one angle is 44 degrees and hypotenuse is 17 units.

Here,

With respect to angle 44 degrees the adjacent side is x and the opposite side is y.

Therefore,

Sine of 44 degrees is given by

[tex]sin44^{o} = \frac{opposite\ side }{Hypotenuse}[/tex]

[tex]\implies sin44^{o} = \frac{y }{17}[/tex]

[tex]\implies 0.6946 = \frac{y}{17}[/tex]

[tex]\implies 0.6946 \times 17 = y[/tex]

[tex]\implies y = 11.80[/tex]

[tex]\implies y = 11.8[/tex]

And, tangent of 44 degrees is give by

[tex]tan 44^{o} = \frac{opposite \ side }{adjacent \ side }[/tex]

[tex]\implies tan44^{o} = \frac{y}{x}[/tex]

[tex]\implies tan44^{o} = \frac{11.8}{x}[/tex]

[tex]\implies 0.9657 = \frac{11.8}{x}[/tex]

[tex]\implies x = \frac{11.8}{0.9657}[/tex]

[tex]\implies x = 12.22[/tex]

[tex]\implies x = 12.2[/tex]

Therefore, the value of x and y is 12.2 and 11.8 respectively.

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Answer:

c

Step-by-step explanation:

Answer:

400        or       4 x 10²

Step-by-step explanation:

Answer:

1.-Then we p-value indicates that we are in the rejection region we reject H₀

We support the claim of the garbage collector the average picking up more than 4 tn of garbage

2.- p  = 75 %

3.-3.-t(s) is in the rejection region we accept H₀ we have not evidence to support Marc´s claim

Step-by-step explanation:

1.- If p-value is 0,04   and significance level α = 5 %  or  α = 0,05 then p-value < α

Test hypothesis should be    ( x the average of garbage)      

Null hypothesis          H₀           x = 4 Tn

Alternative Hypothesis     Hₐ    x  > 4 Tn

Then  alternative hypothesis suggests a one tail-test to the right  and

p-value <  0,05

Then we p-value indicates that we are in the rejection region we reject H₀

We support the claim of the garbage collector the average picking up more than 4 tn of garbage

2.- As we are dealing with a normal distribution the CI  95 % is symmetrical with respect to the mean, therefore the proportion of student living in Brooklyn is:  

(0,73 + 0,77) /2

p = 0,75     p  = 75 %

Test hypothesis:

Null Hypothesis            H₀            μ    =  26

Alternative Hypothesis      Hₐ      μ   <  26

Alternative hypothesis tells us the test is a one-tail test to the left

Sample size   n = 25

Sample mean   μ  =  24,4

Sample Standard deviation  =  9,2

We assume normal distribution, and as n < 30 we use t-student table

with  24 degree of freedom

Significance level is 0,05  and df = 24  we find t (c)  in t- student table

t(c) = 1,7109      test to the left   t(c) = -1,7109

To calculate  t(s)

t(s)  =  (  24,4 - 26 ) / 9,2 / √25

t(s) =  - 1,6 * 5 / 9,2

t(s) = - 0,87

Comparing t(s)  and t(c) we have

t(s) > t(c)

t(s) is in the rejection region we accept H₀ we have not evidence to support Marc´s claim

Answer:

a. 4. Kyles's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.

b. His blood pressure is of 149.5 millimeters

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

a. Which answer(s) is/are correct?

His blood pressure has a zscore of 1.75, which means that it is 1.75 standard deviation above the mean value. So the correct answer is given by option 4.

b. Calculate Kyle's blood pressure.

We have to find X when [tex]Z = 1.75, \mu = 125, \sigma = 14[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.75 = \frac{X - 125}{14}[/tex]

[tex]X - 125 = 1.75*14[/tex]

[tex]X = 149.5[/tex]

His blood pressure is of 149.5 millimeters

Answer:

2.

Step-by-step explanation.

Answer:

32

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

If evaluated this is the answer!

Answer:

P(A or B) = 0.75

Step-by-step explanation:

Venn probabilities:

Supposing that we have two events A and B, the probability P(A or B) is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

In this question, we have that:

[tex]P(A) = 0.62, P(B) = 0.25, P(A \cap B) = 0.12[/tex]

So

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.62 + 0.25 - 0.12 = 0.62 + 0.13 = 0.75[/tex]

Then

P(A or B) = 0.75