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4 years ago

7x+2=-2+5x+14 solve for x

Mathematics

1 answer:

goblinko [34]4 years ago

3 0

$7x + 2 = -2 + 5x + 14\\7x - 5x = -2 + 14 - 2\\2x = 10\\x = 5$

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In a group of 20 there are 7 boys what is the ratio of girls to boys?

marysya [2.9K]

Step-by-step explanation:

given,

total members in grp = 20

no. of boys = 7

no. of girls = 20 - 7 = 13

so,

the ratio of girls to boys is = 13:7

hope this answer helps you dear...take care and may u have a great day ahead!

4 0

3 years ago

Triangle: solve for x

NARA [144]

Answer:

6 root two

Step-by-step explanation:

geometric mean for leg t.

24*3=x2

x2=72

x=root(72)

6 root two

if my answer helps please mark as brainliest.

6 0

3 years ago

Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American a

spin [16.1K]

Answer:

$Mean = 68.9$

$s^2 =18.1$ --- Variance

Step-by-step explanation:

Given

$\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

$x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5$

For 59 - 66

$x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5$

For 67 - 74

$x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5$

For 75 - 82

$x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5$

For 83 - 90

$x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5$

So, the table becomes:

$\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

The mean is then calculated as:

$Mean = \frac{\sum fx}{\sum f}$

$Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}$

$Mean = \frac{2547.5}{37}$

$Mean = 68.9$ -- approximated

Solving (b): The sample variance:

This is calculated as:

$s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}$

So, we have:

$s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}$

$s^2 =\frac{652.8}{36}$

$s^2 =18.1$ -- approximated

5 0

3 years ago

a box shaped biscuits contain 15 squares, 17 triangles, 6 rectangles, 4 diamonds and 8 hexagons. If a biscuit is chosen at rando

Triss [41]

Add the numbers up to get the total number of biscuits, which will be 50. Then, make a fraction using the squares, which will be 15/50. Simplify by 5. The answer will be 3/10.
I hope this helped!

3 0

4 years ago

15 percent of 9 dollars is $?

Nataly_w [17]

Answer:

pretty sure it's 1.35

Step-by-step explanation:

have a wonderful day my friend

4 0

3 years ago

Read 2 more answers