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Natalka [10]
2 years ago
6

HELPPPPPP ITS URGENT!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
Bad White [126]2 years ago
6 0

Answer:

The answer is A Thomas' account will have about $475.32 less than Sheril's account

Step-by-step explanation:

Its A because 840 Plus 7.5% Is 903 which means And 1,250 plus 6.9% is 1,336.25 so Sheril has $475.32

PIT_PIT [208]2 years ago
3 0

Answer:

A

Step-by-step explanation:

trust

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The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a
AlekseyPX

Answer:

The time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

Step-by-step explanation:

We are given that the time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a standard deviation of 40 seconds.

The fitness association wants to recognize the fastest 10% of the boys with certificates of recognition.

<u><em>Let X = time for this event for boys in secondary school</em></u>

SO, X ~ Normal(\mu=460,\sigma^{2} =40^{2})

The z-score probability distribution for normal distribution is given by;

                               Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean time = 460 seconds

            \sigma = standard deviation = 40 seconds

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

<u>Now, it is given that the fitness association wants to recognize the fastest 10% of the boys with certificates of recognition, which means;</u>

       P(X > x) = 0.10   {where x is the required time which boy need to beat}

       P( \frac{X-\mu}{\sigma} > \frac{x-460}{40} ) = 0.10

        P(Z > \frac{x-460}{40} ) = 0.10

<em>So, the critical value of x in the z table which represents the top 10% of the area is given as 1.2816, that is;</em>

<em>                   </em>      \frac{x-460}{40} =1.2816

                         {x-460}{} =1.2816\times 40

<em>                           </em>x = 460 + 51.264 = <u>511.264 seconds</u>

Hence, the time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

8 0
3 years ago
Please help me! Need answer quick!
aksik [14]

Let h = height of triangle


h^2 + 12^2 = 15^2


h^2 + 144 = 225


h^2 = 225 - 144



h^2 = 81


sqrt{h^2} = sqrt{81}


h = 9 cm


For part B, we need to find surface area because it represents the perimeter of this 3-D figure. The formula needed is SA = B + LA.


1. First find the lateral area.


LA = perimeter of triangle • height


LA = ph


p = 15 + 15 + 24


p = 30 + 24


p = 54 cm


LA = (54)(9)


LA = 486 cm^2


2. We now find the base of each triangle. This is found by finding the area of each triangle and multiplying by 2.


A = (1/2)bh


A = (1/2)(24)(9)


A = 108 cm^2


A = 2•108 cm^2


A = 216 cm^2 = our B in the surface area formula.


SA = B + LA


SA = 216 cm^2 + 486 cm^2


SA = 702 cm^2


The amount of cardboard needed is 702 cm^2.






6 0
3 years ago
Please can anyone help me please​
Step2247 [10]
4.5, 4, 3.5, 3, 2.5, 2 and use the pencil and ruler, love a bit of MathsWatch
7 0
3 years ago
Read 2 more answers
Write each ratio in simplest fractional form. 1. 16 dogs and 9 cats 2. 99 miles to 6 gallons 3. 4 frogs to 9 lily pads 4. 6 cups
soldi70 [24.7K]

Answer:

1. 16/9

2. 33/2

3. 4/9

4. 3/2

5. 6/13

Step-by-step explanation:

1. 16 dogs and 9 cats  

16/9

2. 99 miles to 6 gallons  

99/6

Divide by 3 on the top and bottom

33/2

3. 4 frogs to 9 lily pads

4/9

4. 6 cups of milk to 4 cups of flour

6/4

Divide the top and bottom by 2

3/2

5. 6 girls to 13 boys

6/13

6 0
3 years ago
SinA=√1-x÷√1+X<br> Find the value of cosA
Irina-Kira [14]

The value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

<h3>Trigonometric ratios</h3>

It is important to note that

sin A = opposite/ hypotenuse

cos A = adjacent/ hypotenuse

Then,

opposite = \sqrt{1} - x

Hypotenuse = \sqrt{1} + x

Let's find the adjacent side using the Pythagorean theroem

(\sqrt{1} + x)^2 = (\sqrt{1 -x } )^2 + x^2

1 + x^2 = 1 - x^2 + x^2

x = \sqrt{\frac{1 + x^2}{1 -x^2} }

cos A = x/hypotenuse

cos A = \frac{\sqrt{\frac{1+x^2}{1 -x^2} } }{\sqrt{1} +x}

cos A = √(1 + x²)/ (1 - x²) /√1 + x

Thus, the value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

Learn more about trigonometric identities here:

brainly.com/question/7331447

#SPJ1

6 0
1 year ago
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