(2)
Study the figure below and use the counting square method to determine
the perimeter and area of the diagram in the grid. The idea for using the
counting squares is to enable you to develop the formulae that can be used
to calculate the area and perimeter of a rectangle.
2
G
7
8 9
12 LIS
o 23 24 25
2427128129130
3132333435
363 ks halu
L22HLLLS 4.12712849 Sos: S-3 54 55
56 57 58 591696162163164165 66 67 68 69174
772 19L4214277879808182838485
66 87 88 89 90 91 92 93 94 95 96 97 98 99 100
5
plu2!3114
Gise 2212 213 24 2a2a134
8
Adapted from Tess-India (Elementary Mathematics)
Explain step by step, how you arrived at your answer to determine the area
and perimeter of the figure in the grid paper.​

Answer:

9 hours

Step-by-step explanation:

12 people take 15 hours to complete one job. First let's ask how long it would take 18 people working at the same rate to complete the same job? We can use proportions to answer this

[tex]\frac{12 people}{15 hours} = \frac{18 people}{x hours}\\x = \frac{18\times15}{12} = 22.5[/tex]

Now we know that one job takes 18 people 22.5 hours, so 2/5 of the job would take

[tex]\frac{18\times15}{12} \times \frac{2}{5} = 9[/tex]

The probability of the event. par or above is 0.74

Using the table in the question as reference, we are to calculate the probability of an event par or above.

This probability is represented as: P(par or above)

The par value from the question is:

[tex]par = 70[/tex]

So, the required probability is:

[tex]P(par\ or\ above) = P(x \ge 70)[/tex]

This mean that we consider scores that are 70 and above

So, the formula to use is:

[tex]P(par\ or\ above) = P(70-74) + P(75 -79) +..... + P(100\ or\ above)[/tex]

Using the data from the question, the equation becomes

[tex]P(par\ or\ above) = 0.28+ 0.20 +0.12+ 0.07+ 0.03+ 0.03+ 0.01​[/tex]

[tex]P(par\ or\ above) = 0.74[/tex]

Read more at:

https://brainly.com/question/16693319

Answer:

The probability of Josh scoring par or above is 0.75.

Step-by-step explanation:

Find where par is on the table (70-74). Since it is par or above, you would take the probabilities of par and all numbers higher than par. Add them together, and you have your answer.

(.29) + (.21) + (.11) + (.08) + (.02) + (.03) + (.01) = 0.75

**I attached a screenshot of the table and the correct answer

good luck! <3

Answer:

6.46%

Step-by-step explanation:

246 ÷ 3810 × 100% = 6.46%

Answer:

85%

Step-by-step explanation:

100% = 20

1% = 100%/100 = 20/100 = 0.2

now, how often does 1% fit into the actual result of 17 ? and that tells us how many %.

17/0.2 = 17/ 1/5 = 17/1 / 1/5 = 5×17 / 1 = 5×17 = 85%

Answer:

17/20×100=

85%

=85%

hope this helps

Step-by-step explanation:

hope it will help u

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Answer:

939 is the answer

Step-by-step explanation:

plz Mark me as the brainlist

Answer:

(0,0) is the x and y intercept of the function

Step-by-step explanation:

The parabola touches the x and y axis at 0

The x intercept is (0,0) and the y intercept is (0,0)

Answer:

(0, 0) is the x and y intercepts

Step-by-step explanation:

intercepts are where the curve of the equation contacts an axis

The equation is y = x²

the trip to the airport was 6.25 miles.

Answer:

The probability is: 0.8889.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Approved

Event B: Qualified

Probability of a person being approved:

80% of 75%(qualified)

30% of 25%(not qualified). So

[tex]P(A) = 0.8*0.75 + 0.3*0.25 = 0.675[/tex]

Probability of a person being approved and being qualified:

80% of 75%, so:

[tex]P(A \cap B) = 0.8*0.75[/tex]

Find the probability that a person is qualified if he or she was approved by the manager.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.8*0.75}{0.675} = 0.8889[/tex]

The probability is: 0.8889.

Answer:

5

Step-by-step explanation:

(45 + x) / 2

add 45 to a certain number and divide the sum by 2

= 5 × x

is 5 times the number

(45 + x)/2 = 5x

45 + x = 10x

45 = 9x

x = 5

Answer:

R35625

Step-by-step explanation:

(R30,000×.125×18/12)+R30000

=R35625

[tex]\boxed{\sf I=\dfrac{PRT}{100}}[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{2000(12)(2.5)}{100}[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{24000(2.5)}{100}[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{60000}{100}[/tex]

[tex]\\ \sf\longmapsto I=600[/tex]

[tex] \large\begin{gathered} {\underline{\boxed{ \rm {\red{S.I \: = \: \frac{P × R × T}{100} }}}}}\end{gathered} [/tex]

As we know that , first we need to convert 2 years 6 months into years.

[tex] \sf \ \implies \: 1 \: \: year \: = \: 12 \: \: months[/tex]

[tex] \sf \implies \: 2 \: \: years \: \: and \: \: 6 \: \: months \: = \: 30 \: \:months[/tex]

[tex] \sf \implies \: \:\frac{ \cancel{30} \: \: ^{2.5 \: \: years} }{ \cancel{12 \: }} \\ [/tex]

[tex]\bf{\blue{ Time \: = \: 2.5 \: \: years}}[/tex]

[tex]\Large\rm{\orange{ \begin{cases} \large\begin{gathered} {\underline{\boxed{ \rm {\purple{S.I \: = \: \frac{P × R × T}{100} }}}}}\end{gathered} \end{cases}}}[/tex]

[tex] \tt \large \longrightarrow \: \: S.I \: = \: \frac{2000 \: × \: 12 × \: 2.5}{100} \\ [/tex]

[tex] \tt \large \longrightarrow \: \: S.I \: = \frac{60000}{100} \\ [/tex]

[tex]\tt \large \longrightarrow \: \: S.I \: = \frac{600 \cancel0 \cancel0}{1 \cancel0 \cancel0} \\ [/tex]

[tex]\tt \large \longrightarrow \: \: S.I \: = \: 600[/tex]

[tex]\large \underbrace{\textrm {{{\color{navy}{Simple Interest \: = \: 600}}}}}[/tex]

Answer:

"D"

Step-by-step explanation:

just add the two functions

5x^2 - 8x^2 = -3x^2 etc

Answer: 378 Boys

Explanation:

Total no. Inmates = 700

Living with polio = 25/100×700

= 175 inmates

Total girls = 30/100×700

= 210 Girls

30% of girls Having polio = 30/100×210

= 63 Girls

Total Boys = 700 - 210

= 490 Boys

Total boys with polio = 175 - 63

= 112 boys

Boys without polio = 490 - 112

= 378 boys

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Answer:

10 + 40 + 30

Step-by-step explanation:

Commutative property states that the order in which we add numbers does not affect the answer, so we just need to change the order of numbers

Answered by Gauthmath

Answer:

Step-by-step explan

Answer:

y=2/3x+1

Step-by-step explanation:

Answer:

$50

Step-by-step explanation:

Let x represent the cost of the cell phone.

Since the TV cost 5 times as much as the cell phone, its cost can be represented by 5x.

Since the computer cost 2.5 times as much as the TV, its cost can be represented by 12.5x.

Create an equation to represent the situation, and solve for x:

x + 5x + 12.5x = 925

18.5x = 925

x = 50

So, the cell phone cost $50

Answer:

$50

Step-by-step explanation:

Let x represent the cost of the cell phone.

Since the TV cost 5 times as much as the cell phone, its cost can be represented by 5x.

Since the computer cost 2.5 times as much as the TV, its cost can be represented by 12.5x.

Create an equation to represent the situation, and solve for x:

x + 5x + 12.5x = 925

18.5x = 925

x = 50

So, the cell phone cost $50

Answer:

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Answer:

0.8997 = 89.97% probability of a bulb lasting for at most 622 hours.

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.

Mean of 590 hours, standard deviation of 25 hours.

This means that [tex]\mu = 590, \sigma = 25[/tex]

Find the probability of a bulb lasting for at most 622 hours.

This is the p-value of Z when X = 622.

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

[tex]Z = \frac{622 - 590}{25}[/tex]

[tex]Z = 1.28[/tex]

[tex]Z = 1.28[/tex] has a p-value of 0.8997.

0.8997 = 89.97% probability of a bulb lasting for at most 622 hours.

Answer:

31/32

Step-by-step explanation:

There are 2^5, or 32 combinations.

There is only 1 combination which is all 5 children are boys.

So the probability that will have at least 1 girl is: 1 - 1/32 = 31/32

Answer:

The numbers 3(pi)/2, 5(pi)/2 satisfy the conclusion of Rolle's Theorem

Step-by-step explanation:

1. The function must be continuous.  

Trigonometric functions are continuous.  

2.  It must be true that f(a) = f(b) = 0

For this case sin(pi) = sin(3pi) = 0

3. Therefore by Rolle's Theorem, there exist a point, x, such that f(x) = 0

For this case f(x) = cos(x)

And cos(x) = 0 at x = 3(pi)/2,5(pi)/2

Answer:

37°

Step-by-step explanation:

that is the procedure above

Answer:

D

Step-by-step explanation:

x- coordinate = cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex]

y- coordinate = sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex]

That is ( [tex]\frac{\sqrt{2} }{2}[/tex] , [tex]\frac{\sqrt{2} }{2}[/tex] ) → D

Answer:

There isn't sufficient evidence that support the claim that mean cost differs from $117.91

Step-by-step explanation:

Given that :

Population Mean cost, μ = 117.91

Sample size, n = 36

Sample mean, xbar = 122.57

Sample standard deviation, s = 20

The hypothesis :

H0 : μ = 117.91

H0 : μ ≠ 117.91

Using the one sample t test :

Test statistic

(xbar - μ) ÷ s/sqrt(n)

T = (122.57 - 117.91) ÷ 20/sqrt(36)

T = 4.66 / 3.333

T = 1.398

Decision region :

Reject H0 ; If Pvalue < α

α = 0.10

Degree of freedom, df = n - 1 = 36 - 1 = 35

Pvalue(1.398, 35) = 0.1709

Since 0.1709 > 0.10 ; WE fail to reject H0 ; therefore there isn't sufficient evidence that support the claim that mean cost differs from $117.91

Answer:

d) 6

Step-by-step explanation:

natural number = +ve numbers, so -1/2 is out

4.9 and π arent whole numbers nor intergers