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2 years ago

Shirley is drawing triangles that have the same area. The base of each

Mathematics

1 answer:

Zinaida [17]2 years ago

7 0

Answer:

d. 16 and 6

Step-by-step explanation:

Triangle area = (base × height)/2

A = (8 × 12)/2 = 96/2 = 48

A = (16 × 6)/2 = 96/2 = 48

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Solve each question using the quadratic formula? X2+4x+3=0

Sergeeva-Olga [200]

x=−1 or x=−3 i think lol

8 0

3 years ago

4. If the paint costs $30 per gallon and you need to spend $60 on supplies, and you can

Bezzdna [24]

Step-by-step explanation:

if I understand this right, then you need paint and additional supplies.

but I don't see any information indicating how many gallons of paint I will need.

so, I can go only with the 1 gallon specified.

so,

1×30 + 60 = $90

we can save $45 per month.

then we need

90 / 45 = 2

months to have enough money.

please update the numbers to how many gallons you really need, and then take that result and divide it by the 45 savings per month.

3 0

2 years ago

Write an equivalent fractions for 7x+4x+3-1

Diano4ka-milaya [45]

11x + 2 is combining like terms

4 0

3 years ago

Read 2 more answers

NarStor, a computer disk drive manufacturer, claims that the median time until failure for their hard drives is more than 14,400

Ne4ueva [31]

Answer:

The test statistics is $t = -1.727$

Step-by-step explanation:

From the question we are told that

The data given is

330 620 1870 2410 4620 6396 7822 81028309 12882 14419 16092 18384 20916 23812 25814

The population mean is $\mu = 14400$

The sample size is n = 16

The null hypothesis is $\mu \le 14400$

The alternative hypothesis is $H_a : \mu > 14400$

The sample mean is mathematically evaluated as

$\= x = \frac{\sum x_i}{n}$

$\= x = \frac{330+ 620+ 1870 +2410+ 4620+ 6396+ 7822+ 8102+8309+ 12882+ 14419+ 16092+ 18384 +20916+ 23812+ 25814 }{16}$

=> $\= x = 10799.9$

The standard deviation is mathematically represented as

$\sigma =\sqrt{\frac{ \sum (x_i - \=x)^2}{n}}$

$\sigma =\sqrt{\frac{(330- 10799.9)^2 + (620- 10799.9)^2+ (1870- 10799.9)^2 +(2410- 10799.9)^2 + (4620- 10799.9)^2 +(6396- 10799.9)^2 +(7822- 10799.9)^2 }{16}} \ ..$

$..\sqrt{ \frac{(8102 - 10799.9)^2 +(8309 - 10799.9)^2 + (12882 - 10799.9)^2 + (14419 - 10799.9)^2 + (16092 - 10799.9)^2 + (18384 - 10799.9)^2 +(20916 - 10799.9)^2 }{16}} \ ...$

$\ ... \sqrt{\frac{(23812 - 10799.9)^2 +(25814 - 10799.9)^2 }{16}}$

=> $\sigma = 8340$

Generally the test statistic is mathematically represented as

$t = \frac{10799.9- 14400}{ \frac{8340}{\sqrt{16} } }$

$t = -1.727$

From the z-table the p-value is

$p-value = P(Z > t) = P(Z > -1.727) = 0.95792$

From the values obtained we see that

$p-value > \alpha$ so we fail to reject the null hypothesis

Which implies that the claim of the NarStor is wrong

5 0

3 years ago

Convert to a mixed number 8/5

DerKrebs [107]

Answer:

The improper fraction 8/5 can be changed to the mixed number 1 3/5 by dividing the numerator (8) by the denominator (5). This gives a quotient of 1 and a remainder of 3.

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers