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3 years ago

Mary got 85% correct on her math test. Mary missed 6 questions. How many total questions were on her math final?

Mathematics

2 answers:

ipn [44]3 years ago

6 0

Mary had 40 questions on the test.

Solnce55 [7]3 years ago

5 0

Answer: there were 40 questions on her math final.

Step-by-step explanation:

Let x represent the total number of questions in the math test.

Mary got 85% correct on her math test. This means that the number of questions that she got right is

85/100 × x = 0.85 × x = 0.85x

This also means that the number of questions that she missed would be

x - 0.85x = 0.15x

Therefore, if Mary missed 6 questions, it means that

0.15x = 6

Dividing both sides of the equation by 0.15, it becomes

0.15x/0.15 = 6/0.15

x = 40

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Inessa [10]

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Alicia, Quentin, and Rosalyn are siblings. Alicia is the oldest sibling. Quentin is four years younger than Alicia. Rosalyn is t

tatiyna

Answer:

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Step-by-step explanation:

Let the age of Alicia be x

Let the age of Quentin be y

Let the age of Rosalyn be z

If the sum of the siblings’ ages, in years, is 48 then;

x+y+z = 48.... 1

If Rosalyn is two years older than Quentin then;

z =y+2 ..... 2

Also if Quentin is four years younger than Alicia then;

y = x-4 ... 3

From 3:

x = y+4 ... 4

Substitute 2 and 4 into 1 to have:

y+4+y+y+2 = 48

3y + 6= 48

3y = 48-6

3y= 42

y = 14

Since x= y+4

x = 14+4

x = 18

Since z = y+2

z = 14+2

z = 16year

This means that;

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

6 0

3 years ago

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unkno

melomori [17]

Mid point formula =
(x1/2+x2/2, y1/2+y2/2)

x=
x+0 = 8
/2
x+0 = 8 x 2
x = 16

y=
y+(-2) = 1
/2
y-2 =1 x2
y=2+2
y=4

(16,4)

(In this case, the midpoint (x ,y) will be represent as the answer)

7 0

3 years ago

The amount of lateral expansion (mils) was determined for a sample of n = 8 pulsed-power gas metal arc welds used in LNG ship co

Alona [7]

Answer:

95% Confidence interval for the variance:

$3.6511\leq \sigma^2\leq 34.5972$

95% Confidence interval for the standard deviation:

$1.9108\leq \sigma \leq 5.8819$

Step-by-step explanation:

We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².

The sample, of size n=8, has a standard deviation of s=2.89 miles.

Then, the variance of the sample is

$s^2=2.89^2=8.3521$

The confidence interval for the variance is:

$\dfrac{ (n - 1) s^2}{ \chi_{\alpha/2}^2} \leq \sigma^2 \leq \dfrac{ (n - 1) s^2}{\chi_{1-\alpha/2}^2}$

The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:

$\chi_{0.025}=1.6899\\\\\chi_{0.975}=16.0128$

Then, the confidence interval can be calculated as:

$\dfrac{ (8 - 1) 8.3521}{ 16.0128} \leq \sigma^2 \leq \dfrac{ (8 - 1) 8.3521}{1.6899}\\\\\\3.6511\leq \sigma^2\leq 34.5972$

If we calculate the square root for each bound we will have the confidence interval for the standard deviation:

$\sqrt{3.6511}\leq \sigma\leq \sqrt{34.5972}\\\\\\1.9108\leq \sigma \leq 5.8819$

6 0

3 years ago

The greater of two numbers is one less than eight times the smaller . Their sum equals 98

Kitty [74]

B>a

b=8a-1

and we are told that 98=a+b so a=98-b, using this value for a in the equation above gives you:

b=8(98-b)-1

b=784-8b-1

b=783-8b

9b=783

b=87, and since a+b=98, a=11

so a and b are 11 and 87

3 0

3 years ago